.Using 20 observations, the multiple regression modely - Be +81*1 + $z*2 + was estimated. A portion of the regression results is es follows: df Significance 4.41E-08 MS 1.82E+12 1.90E+10 Regression Residual Total 53.846 SS 2.14.12 3.22E+11 2.496.12 17 19 Intercept Coefficients -986,812 29,190 29,635 Standard Error 131,222 32,277 33,334 t Stat -7.520 0.919 p-value 8.se 2.375 2.387 Lower 95% -1.263,666 -38,487 -40,694 Upper 95% -789,958 96,867 99,964 X2 2.889 a. At the 5% significance level, are the explanatory variables jointly significant? Yes, since the p-value of the appropriate test is less than 0.05. O No, since the p-value of the appropriate test is less than 0.05. Yes, since the p-value of the appropriate test is more then 0.05. O No, since the p-value of the appropriate test is more than 0.05.

Answers

Answer 1

At the 5% significance level, the explanatory variables jointly significant, Yes, since the p-value of the appropriate test is less than 0.05. The correct answer is A.

Based on the provided information, we need to determine whether the explanatory variables in the multiple regression model are jointly significant at the 5% significance level.

To test the joint significance of the explanatory variables, we can use the F-test. The null hypothesis for the F-test is that all the regression coefficients (except for the intercept) are equal to zero, indicating that the explanatory variables have no significant effect on the dependent variable.

The alternative hypothesis is that at least one of the regression coefficients is not zero, indicating that the explanatory variables have a joint significant effect.

In the regression results, the F-statistic is not provided, but the p-value is given as 4.41E-08 (which is equivalent to 4.41 x 10^-8). Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that the explanatory variables are jointly significant at the 5% significance level.

Therefore, the correct answer is Yes, since the p-value of the appropriate test is less than 0.05.The correct answer is A.

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Related Questions

Which tatement would be the mot important in explaining why 2 3 = 6 9 ? A quare i hown and divided into 9 equal-ized quare of 3 row and 3 column. The firt two column are haded. A. 6 of the 9 ame-ized quare are haded and therefore repreent 2 3. B. 6 of the 9 ame-ized quare are haded and therefore repreent 6 9. C. The haded area repreent both 2 3 and 6 9 of the whole hape. D. 2 of the 3 column are haded and therefore repreent 6 9

Answers

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Which tatement would be the mot important in explaining why 2 3 = 6 9 ? A quare i hown and divided into

please help i want please

please help i want please

Answers

The location of point N is -20.

How to find the location of N?

We  can see a number line with 3 points.

Here we know taht MN is 2/7 of MP, so first let's find the length of MP.

The length is equal to the difference between the two values, we can see that:

P = -5

M = -26

Then the length of MP is:

-5 - (-26) = 21

And MN is 2/7 of that, then:

(2/7)*21 = 2*3 =6

Then we can write:

N - M = 6

N - (-26) = 6

N = 6 - 26 = -20

The location of N is -20.

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Given parallelogram abcd, diagonals ac and bd intersect at point e. ae=2x, be=y 10, ce=x 2 and de=4y−8. find x.

Answers

the diagonals of a parallelogram bisect each other

2x=x+2

x=2

Hence the value of x is 2.

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Opposite or opposite sides of a parallelogram have equal lengths, and opposite angles of a parallelogram are equal. The congruence of opposite and opposite angles is a direct consequence of the Euclidean parallel postulate, the Euclidean parallelism The condition cannot be proved without resorting to the line postulate or one of its equivalent formulations.

A parallelogram with base b and height h can be divided into trapezoids and right triangles and converted into rectangles as shown in the left figure. This means that the area of ​​a parallelogram is equal to the area of ​​a rectangle with the same base and height.

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I just need level two and three solved please

I just need level two and three solved please

Answers

Answer:

intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Intercepts

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

Arbitrary point

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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I just need level two and three solved please

Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined. Is Ranger right that 8x − 20 can be simplified further? Provide support for your response.

Answers

Answer:

4(2x - 5)

Step-by-step explanation:

Rewrite "20" as 4 * 5

Rewrite "8" as 4 * 2

=4 * 2x - 4 * 5

Factor out common term "4"

=4(2x - 5) <------ Your answer.

Answer: Ranger is correct, because the expression is in simple form an it has no parenthesis or like terms.

Step-by-step explanation:

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for

Answers

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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The product of a number and 7 decreased by 2

Answers

Answer:

(x× 7) -2

Step-by-step explanation:

(x× 7) -2

product of # = x

and 7 means to multiply

decreased by two means -2

Answer:

the product of a number and seven decreased by two is 7x-2

Step-by-step explanation:

a "product" is the answer to a multiplication problem. instead of writing a multiplication symbol (x) we can simply put the variable next to the number it is being multiplied to. (7x) so, a number (which can be written as any letter, since we don't know the exact number- it's a variable.) 7x decreased by 2 means subtracting. so, we get 7x-2.

hope this helps! best of luck <3

The diameter of a semicircle is 98 meters. What is the semicircle's radius?

Answers

Answer:

It is 49

Step-by-step explanation:

Divide 98 by 2 to get semicircle radius.

Answer:

49 meters

Step-by-step explanation:

The radius is half of the diameter

98 divided by 2 is 49 which is the radius of the semicircle

Find two numbers that multiply to -24 and adds to 2

Answers

Answer:

6 and -4

Step-by-step explanation:

Let the first number be n.

Other number= \(\frac{-24}{n}\)

Their sum= 2

n + \(\frac{-24}{n}\)= 2

\(\frac{n^{2-24} }{n}\)= 2

n²-24= 2n

You can solve this problem in either of these 2 ways:

i) Square Completion method:

  n²-2n = 24

  Half of the coefficient= \(\frac{2}{2}\) =1

  Its square= 1²= 1

  n²-2n+1= 24+1

      (n-1)²= 25

          n-1= \(\sqrt{25}\)

          n-1= ±5

  If n-1= 5,

     n= 5+1

     n= 6

  If n-1= -5,

     n= -5+1

     n= -4

  ∴ the numbers are 6 and -4

ii) Equation Method:

   n²-24= 2n

   n²-2n-24= 0

   a= 1,

   b= -2,

  -b= 2,

   c= -24

   n= -b±\(\sqrt{b^{2}-4ac }\)/2a

   n= 2±\(\sqrt{-2^{2}-4x1x-24\)/2x1

   n= 2±\(\sqrt{4+96}\)/2

   n= 2±\(\sqrt{100}\)/2

   n= 2±10/2

   If n= \(\frac{2+10}{2}\),

      n= \(\frac{12}{2}\)

      n= 6

   If n= \(\frac{2-10}{2}\),

      n= \(\frac{-8}{2}\)

      n= -4

∴ the numbers are 6 and -4

     

vanessa tried to prove that \triangle klm\cong \triangle mnk△klm≅△mnktriangle, k, l, m, \cong, triangle, m, n, k. statement reason 1 \overline{kl}\cong\overline{mn} kl ≅ mn start overline, k, l, end overline, \cong, start overline, m, n, end overline given 2 \overline{lm}\cong\overline{nk} lm ≅ nk start overline, l, m, end overline, \cong, start overline, n, k, end overline given 3 \triangle klm\cong \triangle mnk△klm≅△mnktriangle, k, l, m, \cong, triangle, m, n, k side-side-side congruence what is the first error vanessa made in her proof? choose 1 answer: choose 1 answer:

Answers

What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.

What are the properties of similar triangles?

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:

KM ≅ KM

ΔKLM ≅ ΔMNK  (SSS similarity theorem).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

vanessa tried to prove that \triangle klm\cong \triangle mnkklmmnktriangle, k, l, m, \cong, triangle,

what do we know about data points that are plotted below our y=x? (line of best fit) ​

Answers

Data points plotted below the line y=x (also known as the line of best fit) indicate that the observed value is less than the predicted value.

What exactly is a math graph?

A math graph is a visual representation of mathematical data or concepts. It typically uses Cartesian coordinates (x, y) to plot points, lines, and shapes that help to illustrate mathematical relationships. Graphs can be used to represent many types of mathematical information, including functions, equations, data sets, and geometric shapes. They are commonly used in fields such as science, engineering, economics, and statistics to analyze and understand complex information. Graphs are also an important tool for conveying mathematical ideas and results in a clear and understandable way.

This could be due to measurement errors, outliers, or other factors that are not accounted for in the model used to generate the line of best fit. It's important to note that the location of data points relative to the line of best fit can provide insight into the underlying pattern or relationship between the variables being studied, but further investigation is needed to determine the specific cause of the discrepancy.

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the top-selling red and voss tire is rated 80,000 miles. in fact, the distance the tires can run until they wear out is a normally distributed random variable with a mean of 94,000 miles and a standard deviation of 7200 miles. what is the probability that a tire wears out before 80,000 miles?

Answers

the probability that a top-selling red and voss tire wears out before 80,000 miles is about 2.56%.

The student question asks about the probability that a top-selling red and voss tire, rated for 80,000 miles, wears out before reaching 80,000 miles. The tire's lifespan follows a normal distribution with a mean of 94,000 miles and a standard deviation of 7200 miles.
To find the probability, we need to calculate the z-score first. The z-score is a measure of how many standard deviations away from the mean a particular value is. We can use the following formula to calculate the z-score:
z = (X - μ) / σ
where X is the value (in this case, 80,000 miles), μ is the mean (94,000 miles), and σ is the standard deviation (7200 miles).

Calculate the z-score:
z = (80,000 - 94,000) / 7200
z = -14,000 / 7200
z ≈ -1.944
The z-score is approximately -1.944, which means the tire wearing out at 80,000 miles is about 1.944 standard deviations below the mean.
Find the probability:
Now, we can use the z-score to find the probability. We can look up the z-score in a standard normal distribution table or use a calculator with a built-in function for this purpose.
Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of -1.944 is approximately 0.0256 or 2.56%.

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Age(years) Total( frequency)
15-20 2
20-25 6
25-30 24
30-35 45
35-40 78
40-45 89
45-50 92
50-55 98
55-60 100

Find The Median.

Answers

Answer:

40

Step-by-step explanation:

you find a significant correlation between two variables. can you imply that x causes the effect in y? additionally, how do you evaluate the strength of the relationship between the two variables?

Answers

Correlation does not necessarily imply causation. Evaluating the strength of the relationship between two variables requires examining the correlation coefficient, which ranges from -1 to 1.

Correlation is a statistical measure that indicates the degree to which two variables are related. However, it does not necessarily imply causation, as there may be other factors that are responsible for the observed correlation. For example, the correlation between ice cream sales and crime rates does not mean that ice cream causes crime. Instead, both variables may be influenced by a third variable, such as temperature. Therefore, it is important to exercise caution when interpreting correlations.

To evaluate the strength of the relationship between two variables, it is necessary to examine the correlation coefficient. The correlation coefficient is a statistical measure that ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. A correlation coefficient of 0.8 or higher is generally considered a strong correlation, while a coefficient between 0.5 and 0.8 is considered moderate, and a coefficient below 0.5 is considered weak. However, it is important to note that the strength of the relationship between two variables also depends on the context and the specific research question being investigated.

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Jamal measures the round temperature dial on a thermostat and calculates that it has a circumference of 87.92 millimeters. What is the dial's radius?

Answers




To find the radius of the round temperature dial on a thermostat, we need to use the formula for the circumference of a circle:

C = 2πr

where C is the circumference and r is the radius.

Given that the circumference of the dial is 87.92 millimeters, we can plug in this value for C and solve for r:

87.92 = 2πr

Divide both sides by 2π:

r = 87.92 / 2π

Using a calculator, we can evaluate this expression to find that:

r ≈ 13.997 millimeters

Therefore, the radius of the dial is approximately 13.997 millimeters.

To explain the reasoning behind this calculation, we can think about what the circumference of a circle represents. The circumference is the distance around the outside of the circle, or the total length of the circle's boundary. In this case, the temperature dial has a circular shape, so we can use the formula for the circumference of a circle to find its radius. By solving for the radius, wecircumferencewecircumferencewewecircumferencewwe can determine how far away from the center of the circle the outer edge of the dial is located. This information might be useful for understanding the physical design of the thermostat or for making measurements or calculations involving the dial's size or position.

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The dial's radius is approximately 13.99 millimeters.

What is formula of  circumference?

The circumference of a circle is given by the formula:

C = 2πr

where C is the circumference, π is the constant pi (approximately equal to 3.14159), and r is the radius of the circle.

The circumference C in this instance is 87.92 millimeters. We can adjust the equation to address for the sweep:

r = C / 2π

Substituting the given value for C, we get:

r = 87.92 mm / (2π)

r ≈ 13.99 mm

As a result, the dial has a radius of about 13.99 millimeters.

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Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week.

Project Grading
Day
Hours Grading
Monday
1 and three-fourths
Tuesday
1 and one-half
Wednesday
1 and one-fifth
Thursday
2
Friday
1 and one-fourth


How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects?

Answers

Answer:

2

Step-by-step explanation:

I think Mrs. Nygaard would need 2 hours to work over the weekend to finish grading the projects .

Solve the question using the picture attached. The question and instructions are all attached in the picture. Thank you

Solve the question using the picture attached. The question and instructions are all attached in the

Answers

Let's find the circle to find the exact value of

Sin 17pi/3:

1) Find the coterminal angle in the circle:

\(\begin{gathered} \frac{17\pi}{3}= \\ \frac{17\pi}{3}-\frac{6\pi}{3}= \\ \frac{11\pi}{3}-\frac{6\pi}{3}= \\ \frac{5\pi}{3} \end{gathered}\)

2-Using the circle, the point is:

\((\frac{1}{2},\text{ }\frac{\sqrt[\square]{3}}{2})\)

3) The answer is the y-coordinate, so:

\(\frac{\sqrt[]{3}}{2}\)

a)The mistake was: The coterminal angle was found subtracting 4pi, not 2pi.

b) Because the angle was right in the end, the final answer was correct.

Is the following data set a time series? If not, explain why.
Unemployment in August 2010 by Educational level.
A) No, because the data values are the unemployment levels and not points in time.
B) Yes.
C) No, because the data are for each educational level, not over time

Answers

No, the given data set is not a time series because it does not show changes or trends over time.

The data is grouped according to different educational levels and does not reflect any chronological progression. A time series data set is defined as a set of data points that are collected at regular intervals over a period of time.

The data set should reflect changes in a particular variable or set of variables over time.

Therefore, in order to be considered a time series, the data should be arranged in chronological order and represent changes over time, rather than grouped by different categories or variables.

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How many cubes will be needed to construct the 5th “building” in the same pattern?

Answers

Answer:

7

Step-by-step explanation:

c/2=7

Find an equation of the plane. the plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0)

Answers

The equation of the plane, the plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) is  mathematically given as

X+Y+Z=18

What is the equation of the plane? the plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0)?

Solve' (0,9,9),(9,0,9),(9,9,0)

Parameters

\(\quad A=(0,9,9), \\ \quad B=(9,0,9)\\&c=(9,9,0)\\\)

Generally, the equation for AB is  mathematically given as

\(&A B=\langle 9,-9,0\rangle\\&\overrightarrow{B C}=\langle 0,9,-9\rangle\\&\text { equation of Plane }\\&(\bar{r}-\overline{O A}) \cdot(\overline{A B} \times \overline{B C})=0\\\\&\overline{A B} \times \overline{B C}=\left|\begin{array}{ccc}i & j & i \\9 & -9 & 0 \\0 & 9 & -9\end{array}\right|\\\)

\(&=\{(B)-0)-\hat{j}(-81-0)+k(81-0)\\\\&\overline{A B} \times \overline{B C}=81 \hat{\imath}+81 \hat{\jmath}+81 k)\)

In conclusion, the equation of the plane

81(x-0)+81(y-9)+81(z-9)=0

X+Y+Z=18

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30,000 is
1/10
of what number this if for math please dont take to long solving thisvprolblem

Answers

Answer:

30,000 / 300,000 = 1 / 10

Step-by-step explanation:

To find the number that 30,000 is 1/10 of, we need to divide 30,000 by 1/10 or 0.1.

Dividing 30,000 by 0.1 gives:

30,000 ÷ 0.1 = 300,000

Therefore, 30,000 is 1/10 of 300,000.

Two dice are rolled. Find the probability of the following event. The first die is 6 or the sum is 8. The probability of the event "the first die is 6 or the sum is 8" is (Type an integer or a simplified fraction.)

Answers

To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.


To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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aruseq

It’s supposed to be unscrambled to make a polygon

Answers

Answer:

square

Step-by-step explanation:

Answer:

How do I find unscrambled words?

6 Tips and Tricks to Unscramble Words

Separate the consonants from the vowels.

Try to match various consonants with vowels to see what you come up with. ...

Look for short words to start with such as those with 2 or 3 letters. ...

Pick our any prefixes or suffixes that can extend the length of the words you come up with.

Step-by-step explanation:

in the equation x=c-b/a, find the value of x when c=10, b=2, and a=2

Answers

Answer:

9

Step-by-step explanation:

x = c - b/a

x = 10 - 2/2

x = 10 - 1

x = 9

Answer:

x = c - b (divided by) a

Step-by-step explanation:

x = 10 - 2over2

x = 10 - 1

x = 9

try 18/2 since that part is a fraction.

in the equation x=c-b/a, find the value of x when c=10, b=2, and a=2

Solve the margin of error formula for a meanI need help, literal equation

Solve the margin of error formula for a meanI need help, literal equation

Answers

Explanation

We must solve for n the following equation:

\(E=Z_c*\frac{\sigma}{\sqrt{n}}.\)

1) First, we assume n ≠ 0 and multiply both sides by √n, we get:

\(\begin{gathered} E*\sqrt{n}=Z_c*\frac{\sigma}{\sqrt{n}}*\sqrt{n}, \\ E*\sqrt{n}=Z_c*\sigma. \end{gathered}\)

2) Now, we divide both sides by E:

\(\begin{gathered} \frac{E*\sqrt{n}}{E}=\frac{Z_c*\sigma}{E}, \\ \sqrt{n}=\frac{Z_c*\sigma}{E}. \end{gathered}\)

3) Finally, taking the square on both sides, we get:

\(\begin{gathered} (\sqrt{n})^2=(\frac{Z_c*\sigma}{E})^2, \\ n=(\frac{Z_c\cdot\sigma}{E})^2. \end{gathered}\)Answer\(n=(\frac{Z_{c}\sigma}{E})^{2}\)


On March 31, you opened a savings account at Main Street Savings Bank with a
deposit of $817.25. At the end of October the interest was computed at an annual
rate of 534 percent and added to the balance in your account.
a. How much simple interest did your money earn?
b. What was your new balance?

Answers

a) simple interest money earned at an annual rate of 534 percent is $2545.73

b) new balance is $3362.98.

a)

SI = (P x R x T)/100

where

SI = simplest interest

P = principle

R = rate of interest

T = time period

deposit  in the bank, P = $817.25

time period, t = 7 months = 7/12 year

rate of interest = 534%

then

SI = (P x R x T)/100

SI = ( $817.25 x 534 x 7/12) /100

SI = $2545.73

b) The new balance is calculated as :

Amount = Principle + SI

Amount = $817.25 + $2545.73 = $3362.98

new balance is $3362.98

a) simple interest money earned at an annual rate of 534 percent is $2545.73

b) new balance is $3362.98.

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Ellen has two pizzas left after a party. One is whole and one has been half-eaten. The whole pizza has a radius of 7 inches. The half eaten pizza has a diameter of 20 inches.
Which pizza has a greater circumference?

Answers

Answer:

half eaten pizza has greater circumference

Step-by-step explanation:

full eaten pizza's circumference = 2πr

= 2 * 3.14 * 7 = 43.96 inches

half eaten pizza's circumference = πd

= 3.14 * 20

=62.8 inches

What types of concurrent constructions are needed to find the circumcenter of a triangle?
A. intersection of the lines drawn to bisect each vertex of the triangle
B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
D. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
I need help I didn't understand this part of the lesson.

Answers

Answer:

intersection of the lines drawn perpendicular to each side of the triangle through its midpoint

Step-by-step explanation:

The statement ". the intersection of the lines drawn perpendicular to each side of the triangle through its midpoint" option is (D) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a statement:

What types of concurrent constructions are needed to find the circumcenter of a triangle?

As we know, the junction of the lines passing through the triangle's middle and perpendicular to each of its sides

The type of concurrent construction is the intersection of the lines drawn perpendicular to each side of the triangle through its midpoint

Thus, the statement ". the intersection of the lines drawn perpendicular to each side of the triangle through its midpoint" option is (D) is correct.

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is the collective knowledge, skills, abilities that employees possess and that determine their contributions to the an organization's success. Group of answer choices Human capital Intellectual capital Employee competencies Human resources

Answers

The collective knowledge, skills, and abilities that employees possess and contribute to an organization's success is referred to as human capital.

Human capital refers to the combined expertise, skills, knowledge, and abilities of individuals within an organization. It represents the intangible assets embodied in the employees and their collective contributions to the success of the organization. Human capital encompasses intellectual capital, which includes the intellectual property, patents, trademarks, and other forms of proprietary knowledge that individuals bring to the organization.

Additionally, employee competencies form an integral part of human capital. These competencies represent the specific skills, expertise, and capabilities possessed by employees that enable them to perform their tasks effectively and contribute to the organization's objectives. Employee competencies encompass both technical skills and soft skills, such as problem-solving, communication, leadership, and teamwork abilities.

The concept of human capital emphasizes the value of investing in employees' development, training, and overall well-being to enhance their knowledge and skills. By recognizing and leveraging the human capital within an organization, businesses can harness the collective potential of their workforce to drive innovation, productivity, and ultimately, the success of the organization.

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Yadira made a wooden cone with a radius of 2 inches and a height of 15
inches. Which of the following is the best estimate of the volume of this cone?
Select one:
60 cubic inches
30 cubic inches
90 cubic inches
180 cubic inches

Answers

Answer:

60 cubic inches

Step-by-step explanation:

A = πr²(h/3) = 4(5)π

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