The p-value for a coefficient shows if it is statistically significant True False

Answer:I'm confused on this but this is what I think it's saying. The absolute value of -18 is 18 and of 0 is 0

Step-by-step explanation:Honestly had no idea what this meant so if this isn't want your looking for please tell me so I can delete my answer

The lower quartile is 13 (in minutes ) and the upper quartile is 27(in minutes) for the data collected by Ashley on number of minutes students ride the bus before getting to school.

Ashley has collected data on the number of minutes students ride the bus before getting to school as,

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

There are three types of quartile in data set as, first (or lower) quartile, second quartile (or median), and third (or upper) quartile.

The formula to calculate quartiles for ungrouped data are as follow,

Lower (or first) quartile = {(n +1)4} th term

where, n is the total number of observations in the data set, that is n = 11

Therefore, Lower (or first) quartile = {(11 +1)4} th term

= (3)rd term = 13

Therefore, Upper (or third ) quartile = {3(n +1)/4} th term

= { 3(11+ 1)/4} th term

= 9th term = 27

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The given question is incomplete, the complete question is

"Already Ashley collects data on the number of minutes students ride the bus before getting to school.

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

What is the lower and upper quartile."

False.

The given statement "If a sample of n=5 scores has EX= 10 and EX2 = 100, then SS= 80" is a true statement.

Here is how we can prove it:

To calculate SS, we can use the formula below:

SS = \sum_{i=1}^{n}x_{i}^{2} - \frac{(\sum_{i=1}^{n}x_{i})^2}{n}

Given n = 5, EX = 10, and EX2 = 100

We know that:

EX = \frac{\sum_{i=1}^{n}x_{i}}{n}

Putting the given value of EX = 10, we can find out the value of sum of all n scores.

sum = EX \times n sum = 10 \times 5 sum = 50

Now,

we can use EX2 to find the value of sum of squares of all n scores.

EX2 = \frac{\sum_{i=1}^{n}x_{i}^{2}}{n}

Putting the given value of EX2 = 100, we can find out the value of sum of squares of all n scores.

sum of\;squares = EX2 \times n sum of\;squares = 100 \times 5

sum of\;squares = 500

Now, we can substitute the values of sum and sum of squares in the formula of SS.  

SS = \sum_{i=1}^{n}x_{i}^{2} - \frac{(\sum_{i=1}^{n}x_{i})^2}{n}

SS = 500 - \frac{50^2}{5}

SS = 500 - 500

SS = 0

Therefore, the value of SS is 0 which is not equal to 80.

Hence, the statement "If a sample of n=5 scores has EX= 10 and EX2 = 100, then SS= 80" is false.

False.

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The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

The length of the corresponding base is 6 ft.

Step-by-step explanation:

A = bh            Use this equation to find the length of the base

12 = 2b           Divide both sides by 2 to get b by itself

6 = b

If this answer is correct, please make me Brainliest!

Answer:

6

Step-by-step explanation:

did lesson

The time spent doing the maths assignment is 1 hour 20 minutes.

Two equations can be derived from the question:

m - f = 25 minutes equation 1

m + f = 135 minutes equation 2

Where:

m = time spent doing maths assignment

f = = time spent doing French assignment

In order to determine the value of m, add equation 1 and 2 together

2m = 160

Divide both sides by 2

m = 80 minutes

m =  1 hour 20 minutes

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Hey there!

Formula: 1/2 * base * height = area

Equation: 1/2 * 6 * 8

Simplifying:

1/2 * 6 * 8

= 1/2 * 6/1 * 8/1

= 1 * 6 * 8 / 2 * 1 * 1

= 6 * 8 / 2 * 1

= 48 / 2

= 24

Therefore, your answer should be:

24 square units

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Considering the hypothesis tested and the p-value of the test, the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:

\(H_0: H_X - H_Y = 0\)

At the alternative hypothesis it is tested if there is a difference, hence:

\(H_1: H_X - H_Y \neq 0\)

The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

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The values of r fulfil the differential equation 5y" + 14y' 3y = 0 for the function y = e^rx are 0.123 and -2.523.

As per the question given,  

We have y = e^(rx), so y' = re^(rx) and y'' = r^2e^(rx). Substituting these expressions into the differential equation, we get:

5(r^2e^(rx)) + 14(re^(rx)) - 3(e^(rx)) = 0

Simplifying, we get:

e^(rx)(5r^2 + 14r - 3) = 0

For y = e^(rx) to satisfy the differential equation, the expression in parentheses must equal zero:

5r^2 + 14r - 3 = 0

Using the quadratic formula, we find:

r = (-14 ± sqrt(14^2 - 4(5)(-3))) / (2(5)) = (-14 ± sqrt(244)) / 10

So the values of r that make the function y = e^(rx) satisfy the differential equation are:

r = (-14 + sqrt(244)) / 10 ≈ 0.123 or r = (-14 - sqrt(244)) / 10 ≈ -2.523

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Answer:

Step-by-step explanation:

The probability of landing on a multiple of three can be found by counting the number of multiples of three on the spinner and dividing by the total number of options. There are 3 multiples of three (3, 6, and 12) out of 8 options, so the probability is 3/8. This can be simplified to 3/8 = 3/8 = 3/4.

To find the probability of landing on a number greater than 11 or a 1, we count the number of options that meet these criteria and divide by the total number of options. There are 2 options (11 and 14) that are greater than 11 and 1 option (1) that is a 1, so there are 3 options in total. The probability of landing on one of these options is 3/8.

To find the probability of landing on a multiple of 6 and then an 8, we multiply the individual probabilities of landing on each of these options. The probability of landing on a multiple of 6 is 2/8 = 1/4, and the probability of landing on an 8 is 1/8. So the probability of landing on a multiple of 6 and then an 8 is (1/4) * (1/8) = 1/32. To convert this to a percentage, we multiply by 100: (1/32) * 100 = 3.125%. So the answer is 3.125%.

To send the frequency distribution data to Excel, you can follow these steps:

1. Open Excel on your computer.

2. Create a new worksheet or open an existing one where you want to import the data.

3. Label the first column as "Number of Tests Performed" and the second column as "Number of Patients".

4. In the first column, enter the values 0, 1, 2, 3, and 4 or more in separate cells, corresponding to the number of tests performed.

5. In the second column, enter the corresponding values 14, 8, 4, 4, and 2, which represent the number of patients for each category of tests.

6. Select both columns by clicking and dragging over the cells.

7. Go to the "Copy" option in the Excel toolbar or use the Ctrl+C keyboard shortcut to copy the selected data.

8. Switch to the Excel worksheet where you want to paste the data.

9. Select the first cell where you want to paste the data.

10. Right-click on the cell and choose the "Paste" option or use the Ctrl+V keyboard shortcut to paste the data.

Now, the frequency distribution data from the emergency room tests should be successfully transferred to Excel.

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Step-by-step explanation:

Answer B

7 × 4=28

8×3=24

Thank me later

Total attempt = 90

Successful throws = 81

Unsuccessful = Total attempt - Successful

= 90 - 81

=> 9

To calculate the percentage of unsuccessful, we will use the formula:

The forecast value for time period 2 is 210, and the forecast error is -110 when the actual value is 100. Option B

To calculate the forecast value for time period 2, we substitute W = 2 into the regression equation:

y = 200 + W + 2W^2

= 200 + 2 + 2(2^2)

= 200 + 2 + 2(4)

= 200 + 2 + 8

= 210

Therefore, the forecast value for time period 2 is 210.

To calculate the forecast error, we compare the forecasted value with the actual value for time period 2. Given that the actual value is 100, the forecast error can be calculated as the difference between the actual value and the forecast value:

Forecast error = Actual value - Forecast value

= 100 - 210

= -110

Hence, the forecast error is -110.

Therefore, the correct answer is:

Forecast value = 210; forecast error is -110. So Option B is correct.

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Answer:

3

Step-by-step explanation:

Prime factorize 42 and 3 and you'll eventually get 3 as your answer.

Answer:

3

Step-by-step explanation:

Since you are looking for the greatest common factor, 3 cant have many factors other than itself. So it would be 3, when simplified its similar to 42/3 and 3/3 where it would be 14 and 1.

Given: A function F(x)=2x+3 is given.

Find: inverse of a function.

Explanation:

Final answer: the required inverse of f(x) is

Answer:15728640

60x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2=15728640

Answer:

120°

Step-by-step explanation:

The sum of the measurement of the interior angles of a parallelogram is 360

t +  2t + t + 2t = 360  Combine like terms

6t = 360  Divide both sides by 6

\(\frac{6t}{6}\) = \(\frac{360}{6}\)

t = 60

If t = 60, then 2t = 120

Helping in the name of Jesus.

The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression                  7m² * (2m -1 )*(m9).

The properties of multiplication are:

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.

First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.

After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,

(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).

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Answer:X would be -12

Step-by-step explanation: -12-10=-22

To determine the minimum thickness of the iron, we need to calculate the diffusion flux of hydrogen through the iron and equate it to the maximum allowed hydrogen loss.

The diffusion flux (J) of hydrogen through a material can be calculated using Fick's first law of diffusion:

J = -D * (∆C/∆x)

Where:

J is the diffusion flux

D is the diffusion coefficient of hydrogen in iron

∆C is the difference in hydrogen concentration across the thickness (∆C = C1 - C2)

∆x is the thickness of the iron

We are given:

Maximum allowed hydrogen loss = 50 g/cm²/year

Temperature (T) = 400 °C (673 K)

Hydrogen concentration at surface 1 (C1) = 0.05 H atom per unit cell

Hydrogen concentration at surface 2 (C2) = 0.001 H atom per unit cell

First, we need to convert the hydrogen concentrations into a common unit. The atomic mass of hydrogen (H) is approximately 1 g/mol. The number of atoms in a unit cell for BCC iron is 2.

Concentration in g/cm³:

C1 = (0.05 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.025 g/cm³

C2 = (0.001 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.0005 g/cm³

Now, we can calculate the difference in hydrogen concentration across the thickness:

∆C = C1 - C2 = 0.025 g/cm³ - 0.0005 g/cm³ = 0.0245 g/cm³

Next, we need to determine the diffusion coefficient of hydrogen in iron at 400 °C. The diffusion coefficient can be estimated using the following equation:

D = D0 * exp(-Q/RT)

Where:

D0 is the pre-exponential factor

Q is the activation energy for diffusion

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

For hydrogen diffusion in iron, typical values are:

D0 = 5 x 10^-7 cm²/s

Q = 40,000 J/mol

Plugging in the values:

D = (5 x 10^-7 cm²/s) * exp(-40000 J/mol / (8.314 J/(mol·K) * 673 K))

D ≈ 2.70 x 10^-12 cm²/s

Now, we can substitute the values into Fick's first law of diffusion and solve for the thickness (∆x):

J = -D * (∆C/∆x)

Rearranging the equation:

∆x = -D * (∆C/J)

Substituting the given values:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year))

Converting the year unit to seconds:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year)) * (1 year / 3.1536 x 10^7 s)

Calculating:

∆x ≈ -0.000347 cm ≈ 3.47 μm

The negative sign indicates that the thickness (∆x) is measured in the opposite direction of the hydrogen diffusion. Thus, the minimum thickness of the iron required to limit the hydrogen loss to no more than 50 g per year through each square cent.

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Therefore, the expected probability of flips needed to obtain the seventh head is 10.5.

The probability of observing a head on any given flip of an unfair coin with probability 1/3 for head and 2/3 for tail is 1/3. The probability of observing the seventh head on the fifteenth independent flip is given by the negative binomial distribution:

P(X=15) = (14 choose 6) * (1/3)^7 * (2/3)⁸

= 0.1117 (rounded to four decimal places)

where X is the number of flips until the seventh head is observed.

To find the expected number of flips needed to obtain the seventh head, we can use the formula for the expected value of a negative binomial distribution:

E(X) = r(p/(1-p))

where r is the number of successes (in this case, 7) and p is the probability of success on each trial (1/3). Substituting the values, we get:

E(X) = 7(1/3)/(1-(1/3))

= 10.5

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The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").

To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.

First, let's set the two equations equal to each other:

3x² + (12/24)y² = 16 - x²

Next, we simplify the equation:

4x² + (12/24)y² = 16

Multiplying both sides by 24 to eliminate the fraction:

96x² + 12y² = 384

Dividing both sides by 12 to simplify further:

8x² + y² = 32

Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:

(x²/a²) + (y²/b²) = 1

Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.

So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.

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Larry would need to score 33 points in the last game to have an average of 25 PPG for the entire 5-game span.

To determine the number of points Larry needs to score in the last game to have an average of 25 points per game (PPG), we can use the concept of averages.

Larry has played 4 games and has averaged 23 PPG over those games. In total, he has scored 23 points per game multiplied by 4 games, which gives us a total of 92 points.

Now, let's assume Larry wants to have an average of 25 PPG after the last game. Since he has already played 4 games, the total number of games will be 5 (including the last game). To find the desired total number of points, we can multiply the desired average (25 PPG) by the total number of games (5).

25 PPG * 5 games = 125 points

To achieve an average of 25 PPG after the last game, Larry would need to score 125 points in total over the 5 games. Since he has already scored 92 points in the first 4 games, he would need to score an additional:

125 points - 92 points = 33 points

Therefore, Larry would need to score 33 points in the last game to have an average of 25 PPG for the entire 5-game span.

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Answer:

Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .

Answer:

x = 9

Step-by-step explanation:

#1) Simplify each side.

#2) Bring x terms to the left side and numbers to the other side.

#3) Divide both sides by 4.

Answer:

Step-by-step explanation:

Answer:

volume of sphere is 4000cubic ft..... when

\(\pi = 3 \: and \: r = \frac{1}{2} d\)

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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