Consider this solution to a problem. what is the number of the step where the mistake is made? question 4 options: step 1 step 2 step 3 step 4

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

To learn more about functions, refer:

https://brainly.com/question/25638609

#SPJ1

Answer:

$ 8902.72

Step-by-step explanation:

We would like to calculate the money which we need to invest at 3.3% rate compounded annually for two years . We know that ,

\(\longrightarrow \boldsymbol{ A = P \bigg(1+\dfrac{R}{100}\bigg)^n } \)

where the symbols have their usual meaning . So here ,

\(\longrightarrow \$ 9500 = P \bigg( 1+\dfrac{3.3}{100}\bigg)^2\\ \)

Simplify RHS ,

\(\longrightarrow \$ 9500 = P \bigg(\dfrac{100+3.3}{100}\bigg)^2\\\)

Simplify Nr . in RHS ,

\(\longrightarrow \$ 9500 =P\bigg(\dfrac{103.3}{100}\bigg)^2\\ \)

Isolate P ,

\(\longrightarrow P = \dfrac{ \$9500\times 100\times 100}{103.3\times 103.3}\\\)

Simplify ,

\(\longrightarrow \underline{\underline{\boldsymbol{ P = \$ 8902.72 }}}{} \)

And we are done !

\(\bold{Formula: A = P(1 + \frac{r}{100})^{(n)}}\)

Where

\( \bold{Solution : } \\ \\ \: \: \: \: \tt \: A = 9,500(1+\frac{3.3\%}{100})^{(2)} \\ \: \: \: \: \: \: \tt \: A = 9,500(1+ 0.033)^{(2)} \\ \tt \: A = 9,500(1.033)^{(2)} \: \: \\ \tt \: A = 10,137.34 \qquad \: \: \: \)

therefore,I need $10,137.34 if would like to purchase the car.

Answer:

The supplement is 102

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+ 78 = 180

subtract 78 from each side

x+78-78 = 180-78

x = 102

Answer:

102

Step-by-step explanation:

73/100

Is 0.73 as a simplified fraction

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

For more such questions on chi-square distribution

https://brainly.com/question/4543358

#SPJ11

The number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with each value of x to be a non-negative integer xₐ is (n +  k).

Solved using the technique of stars and bars, also known as balls and urns.

Imagine you have n identical balls and k+1 distinct urns.

Distribute the balls among the urns such that each urn has at least one ball.

First distribute one ball to each urn, leaving you with n - (k+1) balls to distribute.

Then use k bars to separate the balls into k+1 groups, with the number of balls in each group corresponding to the value of xₐ.

For example, if the first k bars separate x₀ balls from x₁ balls, the second k bars separate x₁ balls from x₂ balls, and so on, with the last k bars separating \(x_{k-1}\) balls from \(x_{k}\) balls.

The number of ways to arrange n balls and k bars is (n + k) choose k, or (n +k) choose n.

This is the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n, where each xₐ is a non-negative integer.

Therefore, the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with non-negative integer xₐ is (n +  k).

Learn more about integers here

brainly.com/question/30886950

#SPJ4

Answer:

Area of sector = 21.21

Step-by-step explanation:

Answer:

Area of sector = ½ r² ∅

1/2 ( 9^2) pi/6

81 x pi/6 x 1/2

81 x (0.52359877559) x 1/2

Area of sector = 21.21

Step-by-step explanation:

Answer:

874.27 ft³

Step-by-step explanation:

Step 1

Find the volume of the triangular pyramid

= 274.27 ft³

Step 2

Find the volume of rectangular pyramid

= Length × Width × Height

= 15ft × 5ft × 8 ft

= 600 ft³

Total volume

= Volume of square based prism + volume of rectangular prism

=274.27 ft³ + 600ft³

= 874.27 ft³

\(y - 5 = 3(x - 2)\)

Lena should write down the equations to help her grasp them, as this is the best method for doing so.

The numerous letters, figures, and symbols that Lena discovers scattered over the pages of her arithmetic textbook are fuddle her.

Thus, Lena should write the equations down in words since that is the most efficient method for learning complex mathematical expressions.

To know more about the mathematical expressions, here

https://brainly.com/question/1852123

#SPJ4

Answer:

120 ft

Step-by-step explanation:

Let's assume that the length of the field is x feet. Then, according to the problem statement, the width of the field is (x - 20) feet.

The area of a rectangle is given by the formula A = length x width. So, we can write:

x(x - 20) = 12,000

Expanding the left-hand side, we get:

x^2 - 20x = 12,000

Bringing all the terms to one side, we have:

x^2 - 20x - 12,000 = 0

Now, we can solve this quadratic equation using the quadratic formula:

x = (-(-20) ± sqrt((-20)^2 - 4(1)(-12,000))) / (2(1))

x = (20 ± sqrt(20^2 + 48,000)) / 2

x = (20 ± 220) / 2

We discard the negative root, since a length cannot be negative, and we get:

x = 120

Therefore, the length of the field is 120 feet.

Answer:

27\(x^{14}\)\(y^{13}\)

Step-by-step explanation:

When a power is raised to a power, you multiply the exponents. If you do not see an exponent, it is understood that the exponent is one.

\((xy^{5})^{2}\)\((3x^{4}y)^{3}\)

\(x^{2}\)\(y^{10}\)\(3^{3}\)\(x^{12}\)\(y^{3}\)  Now we multiple 3(3)(3) to get 27 and we add the exponents for the variables that are the same.

27\(x^{14}\)\(y^{13}\)

Answer:

69420

Step-by-step explanation:

Xr mom nerd

Answer:

its 270

Step-by-step explanation:

its the right answer I think it was on IXL

The TQ is a chord, PR is a secant line and WU is a tangent line.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

A chord of a circle is the line segment joining two points on the circle.

Line segments TQ and QV are chords.

TV is also a chord, which is the diameter.

A secant line is a line which intersects the circle at two different points.

Line PR is a secant line which intersects the circle at T and Q.

A tangent line is a line which intersects the circle at exactly one point.

Line WU is a tangent line which intersects the circle at V.

Hence the chords in the given figure are TQ and QV, secant line is PR and tangent line is WU.

Learn more about Circle here :

https://brainly.com/question/11833983

#SPJ1

Answer:

4 hours

Step-by-step explanation:

63-35=28 28 divided by 7= 4

My budget meal for a day will be targeted towards people who wants (weight loss) and such I will prepare a food menu of plain rice, vegetables, apple fruit and a cup of mango juice.

The  customer financial capability in ordering food is very simple as it is targeted towards weight loss and as such, the rice is plain along with vegetables and as such, it will be affordable.

The three combination of my budget meal are:

A food budget is known to be the purpose a person has so as to be able to spend on food groceries.

Note that food budget is one that often includes any items a person need to buy more, such as meat, fruit and vegetables, etc.

Learn more about budget meal  from

https://brainly.com/question/25939288

(A) A normal distribution centered at 1/3 with a standard deviation of about 0.0351.

Normal Distribution:

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. The normal distribution model is important in statistics and is the key to the central limit theorem (CLT). The theory states that means computed from independent, identically distributed random variables have an approximately normal distribution, regardless of the type of distribution from which the variable is sampled (provided it has finite variance). Mean (average value), median (center), and mode (most frequent observation) are all equal. Moreover, these values ​​all represent the peak or highest point of the distribution.

Standard Deviation:

The standard deviation (or σ) is a measure of the distribution of data from the mean. A low standard deviation means the data is clustered around the mean, and a high standard deviation means the data is more scattered. A standard deviation close to zero indicates that the data points are close to the mean, while a high or low standard deviation indicates that the data points are above or below the mean, respectively.  The top curve is more spread out and therefore has a higher standard deviation, while the bottom curve is more concentrated around the mean and therefore has a lower standard deviation.

Complete Question:

A successful waffle-man has recently developed a new recipe for waffles. To test the popularity of this new waffle compared to two other tried-and-true types of waffles, our friend the waffle-man randomly selected 180 lucky customers to vote on which of the three waffle types they liked best. Exactly 35% of these customers (or 63 in total) voted in favor of the new waffle. If all waffles were equally tasty, then the waffle-man knows to expect that each waffle would receive around 1/3 of the votes (so around 60 votes per waffle).

Are 63 votes for the new waffle enough to conclude that significantly more customers like it compared to the others? Luckily, our friend the waffle-man triple-majored in waffles, statistics, and clinical neurophysiology and knows how to objectively answer this question. He conducts a hypothesis test for proportions,

H0:p=1/3 H0:p=1/3, Ha :p>1/3 Ha: p>1/3

with a sample proportion of 63/180.

In carrying out this test, what null distribution for p^p^ should he use? In other words, what is the distribution of the sample statistic assuming the null hypothesis is true? (Be sure to use at least four decimal places in your calculations.)

Select one:

a)A normal distribution centered at 1/3 with a standard deviation of about 0.0351

b)A normal distribution centered at 1/3 with standard deviation of about 0.0356

c)A normal distribution centered at 0.35 with standard deviation of about 0.0356.

d)A normal distribution centered at 0.35 with standard deviation of about 0.0351.

e)We cannot use a null distribution in this problem because the population is not normally distributed.

Learn more about Normal Distribution:

https://brainly.com/question/31197941

#SPJ4

Value of the given statement:

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

According to the given information:

1) There are a total of 10 slips after adding.

8 slip with 3 on it

2 slips with 9  on it

 value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 11)  x 3 + (2/ 11)  x 9

24 / 11 + 24 / 11 = 4.36

2 )No of total slips after addition = 12

8 slip with 3 on it

4 slips with 9  on it

 value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 12)  x 3 + (4 / 12)  x 9

2 + 3 = 5

3 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 6

24 + 18 + 9n / 10 + n  = 6

42 + 9n = 60 + 6n

3 n = 18

n = 6

4 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 8

24 + 18 + 9n / 10 + n  = 8

42 + 9n = 80 + 8n

n = 38

Minimum of 38 has to be added .

To know more about Probability visit:

https://brainly.com/question/17487084

#SPJ4

I understand that the question you are looking for is:

1:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add one additional $9$ to the bag? 2:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add two additional $9$'s (instead of just one) to the bag? 3:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do we have to add to make the expected value equal to $6$? 4:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do I have to add before the expected value is at least $8$?

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

To learn more about variance refer:

https://brainly.com/question/25639778

#SPJ11

Answer:83 -->17-->103-->43-->7-->1

Have a good day

To solve this problem, you read the problem backwards and to the opposite of that function.

Thus the number that is thought of is 6

Hope that helps!

Unknown value: X

(5X-19)*2=22

5X-19=22/2

5X-19=11

5X=30

X=6

The value of given double integral ∬(D) 2xy dA is 7/12.

Given, double integral ∬(D) 2xy dA, where D is the triangular region with vertices (0,0), (1,2), and (0,3).

To evaluate the given integral, we divide the region D into two parts: D1 and D2.

For D1:

The region D1 is a right triangle with vertices (0,0), (1,2), and (0,2). The limits of integration are: 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2x.

Therefore, ∬(D1) 2xy dA can be calculated as:

∫(0)¹ ∫(0)²ˣ 2xy dy dx = ∫(0)¹ x³ dx = 1/4

For D2:

We can transform the region D2 by using the variables u = x and v = y - 2x. The inverse transformation is x = u and y = u + v/2.

The equation of the line passing through the vertices (0,2), (1,2), and (0,3) can be expressed as y = x + 2. Substituting the transformations, we get v = u.

The limits of integration for D2 are: 0 ≤ u ≤ 1 and 0 ≤ v ≤ 3 - 2u.

Therefore, ∬(D2) 2xy dA can be calculated as:

∫(0)¹ ∫(0)\(^3^-^2^u\) 2u\(^(^u^+^v^/^2^)\) dv du = ∫(0)¹ [2u\(^2^v^/^2\) + u\(^2^v^/^2\) + v\(^2^u^/^4\)]_0\(^3^-^2^u\) du = ∫(0)¹ [(3u³)/2 - (5u²)/4 + (3u)/8] du = 19/24

Therefore, ∬(D) 2xy dA = 1/4 + 19/24 = 7/12.

To know more about double integral, click here

https://brainly.com/question/27360126

#SPJ11

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

Learn more about the quadratic function here:

https://brainly.com/question/29775037.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer: -1/10,-3/10,-2/5,-1/2,-7/10

Step-by-step explanation:

Answer:

-7/10,-3/10,-1/10,-2/5,-1/2

Step-by-step explanation:

hope this helps

Slope is often used to analyze the relationship between two variables in a graph or equation, and it can provide important information about the rate of change or direction of a trend.

The slope of the equation C = 5.5b + 88 is 5.5. The slope represents the amount of calories (C) that correspond to each additional gram of carbohydrates (b) in the food. In other words, for every one gram increase in carbohydrates, the number of calories in the food will increase by 5.5. This means that the slope represents the rate at which the calorie content of the food changes with respect to the carbohydrate content.

to know more about slope:

brainly.com/question/20036619

#SPJ1

Answer:

22

Step-by-step explanation:

11*2

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{1}{2}a =11}\)

\(\large\textsf{MULTIPLY 2 to BOTH SIDES}\)

\(\mathsf{2\times\dfrac{1}{2}a= 11\times 2}\)

\(\mathsf{CANCEL\ out: 2 \times \dfrac{1}{2}\ because\ that\ gives\ you\ 1}\)

\(\mathsf{KEEP: 11 \times 2\ because\ that\ helps\ you\ solve\ for\ a }\)

\(\large\textsf{New equation: } \mathsf{a = 11\times2}\)

\(\mathsf{a = 11 \times2 }\)

\(\mathsf{\bold{22} = 11 \times 2}\)

\(\boxed{\boxed{\large\textsf{Therefore, your \underline{answer} is: \huge\bf a = 22}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Solve for t using quadratic formula:

Where:

so:

We take the positive time, therefore:

Answer:

t = 3.988s

The object will hit the ground after approximately 3.988 seconds.

We can also say that the object will remain in the air for less than 4 seconds.