How do you translate to the left?

Answer:

Step-by-step explanation:

Given  a pair of alternate exterior angle of 4x + 24 and 8x, we are to find the value of x that will make m and n parallel.

Alternate exterior angles are equal, hence;

4x + 24 = 8x

24 = 8x - 4x

24 = 4x

Rearrange

4x = 24

Divide both sides by 4

4x/4 = 24/4

x = 6

Hence the value of x required is 6

To create a graph comparing the distribution of housing status for males and females, you can use a bar chart or a stacked bar chart. The following is an example of how the graph might look:

```

     Housing Status Distribution by Gender

     --------------------------------------

                  Males   Females

Owned             |####   |######

Rented            |#####  |######

Living with family|###### |########

Homeless          |##     |###

Other             |###    |####

Legend:

# - Represents the number of individuals

```

In the above graph, the housing status categories are listed on the left, and for each category, there are two bars representing the distribution for males and females respectively. The number of individuals in each category is represented by the number of "#" symbols.

Please note that the specific distribution data for males and females would need to be provided to create an accurate graph.

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The amount of tax that Walmart pay annually in FUTA is  $630 million .

In the question ,

it is given that ,

the amount that an employee earns in 1 year(E) = $7000

the tax rate (r) = 6%

number of employees in Walmart = 1.5 million = 1.5 × 10⁶

So , the amount of tax paid by Walmart in Federal Unemployment Tax Act(FUTA) can be calculated using the formula

Amount = r × n × E

Substituting the values of r , n , E in the amount formula ,

we get ,

Amount = 0.06 × 1.5 × 10⁶ × 7000

= 630,000,000

= 630 million .

Therefore , The amount of tax that Walmart pay annually in FUTA is  $630 million .

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The correct is b i.e; the critical value times the standard error of the sampling distribution

Given options are :

a. The biggest sampling error that can be made while maintaining a certain level of confidence.

b. the critical value multiplied by the sampling distribution's standard error

c. the discrepancy between the parameter and the point estimate.

Margin of error

= C * SE

Where C is critical value of on

of is the Standard error

The multiple of Critical Value and Standard error is the margin of error

Correct Option is b i. e the critical value times the Standard error of Sampling distribution

Therefore, The margin of error is the product of Critical Value and Standard Error.

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Answer:

x² + y² = 13 ---1

y = x + 1 ---2

First make one of the unknowns the subject so you can substitute it into the other equation. Since 2 already has y as the subject, we can substitute 2 into 1 to find x.

Substitute 2 into 1:

x² + (x +1)² = 13

x² + (x² + 2x + 1) = 13

2x² + 2x - 12 = 0

2 is a common factor so we factorize it out.

2(x² + x - 6) = 0

x² + x - 6 = 0

Factorize the equation further.

(x - 2)(x + 3) = 0

x - 2 = 0     or      x + 3 = 0

x = 2          or       x = - 3

Substitute values of x into 2 to find y.

y = 2 + 1     or      y = - 3 + 1

  = 3                      = - 2

Hence, x = 2 and y = 3 or x = - 3 and y = - 2.

The points that are not part of the solution set in the system are: (-1,-1) and (2,1)

Step 1: Let's see the graph the y-coordinates of the graph is:

(0, 4)

Step 2: The ordered pairs are:

(0, 4), (4, 1)

Step 3: Recall slope,substitute x₁ = 0, y₁ = 4, x₂ = 4 and y2₂ = 1:

m = 1 - 4/ 4 - 0Recall slope,substitutex

m = (1 - 4)/(4 + 0)

Step 4: Solve the equation:

m = (1 - 4)/(4 + 0)

m = - ³/₄

Step 5: Recall point-slope form,substitute

x₁ = 0 , y₁ = 4 and m = - ³/₄

y - 4 = (- 3/4)(x + 0)

Step 5: Recall point-slope form,substitute x1 = 0, y₁ = 4 and m = - ³/₄

y − 4 = (− ³/₄ )(x − 0)

Step 6: Solve the equation:

y - 4 = (- ³/₄) (x - 0)

Final answer: y - 4 = (- ³/₄) (x - 0)

Therefore, the correct answer is as given above.

It could then be concluded that the points that are not there are set in the system are: (-1,-1) and (2,1).

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The points that do not solve the inequalities are (0,-3) and (-1, -1).

In an inequalities graph, the shaded region represents the solution set of the inequality.

Each coordinate within the shaded region satisfies the given inequality. (0, -3) is outside the shaded region.

Broken or dashed line represent strict inequalities, such as "<" less than or ">" greater than. This means that coordinates that are found within the line does not solve the inequalities. By this explanation (-1, -1) is excluded from the solution.

On the other line unbroken line is used to represent an inequality that includes the points on the line.

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a) The probability that in the next eight tries, the number of free throws he will make exactly 8 is equals to the 0.27249.

b) The probability that in the next eight tries, the number of free throws he will make exactly 5 is equals to the 0.08386.

We have a professional basketball player makes 80% of the free throws he tries.

let X be the number of free throws he will make in the next 8 tries. He makes 80% of the free thwors he tries. So, for binomial distribution, X~Bin(8,0.80)

so the probability mass function of X is P[X =x] = ⁸Cₓ 0.85ˣ (1-0.85)⁽⁸⁻ˣ⁾, x = 0,1, 2,..8

P[ X = x] = 0 otherwise.

a) So, the probability that he makes exactly 8 throws isP,(X=8)

= ⁸C₈(0.85)⁸ (1- 0.85)⁰

=0.27249

b) the probability that he makes exactly 5 throws is, P[X=5]

=⁸C₅0.855(1-0.85)⁽⁸⁻³⁾=56×0.855×0.153

=0.08386

Hence required probability is 0.083.

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Answer:  A.  85

Step-by-step explanation:

To set up an equation to solve for x you need to know:

The to 2 interior (inside) angles,  opposite of the exterior,  added together is equal to the exterior (outside) angle.

2x + 3 + 5x - 2 = 8x - 11

7x + 1 = 8x - 11

x = 12

Plug x back into the exterior angle outside angle

8(12)-11

96-11

85

Probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean is; 12/95

We are given the contents of the package as;

Red jelly beans = 4

Green jelly beans = 2

Purple jelly beans = 8

Blue jelly beans = 6

Total number of jellybeans = 4 + 2 + 8 + 5 = 20

Probability of selecting a purple jelly bean and eating it = 8/20

After picking one, we are left with 19 jellybeans. Thus;

Probability of picking a blue jelly bean and eating it = 6/19

Thus;

Probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean = 8/20 × 6/19 = 48/380 = 12/95

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Answer: choosing a purple jelly bean, eating it, and then choosing a blue jelly bean = 8/20 × 6/19 = 48/380 = 12/95

Step-by-step explanation:

,

This can be solved by substituting the output of function g in function f.

The expression that is equivalent to \((f\circ g)(x)\) is \(3x^2 + 5\)

Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as  \((f\circ g)(x)\) where the x is the input to first function.

Thus, we have;

\((f\circ g)(x) = f(g(x))\)

We will put whatever g(x) outputs as input to f.

Thus,

\(g(x) = x^2 + 1\\\\ f(x) = 3x + 2\\\\ (f\circ g)(x) = f(g(x)) = 3(g(x)) + 2 = 3( (x^2 + 1) ) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5\\\\ (f \circ g)(x) = 3x^2 + 5\)

Thus, the expression that is equivalent to \((f\circ g)(x)\) is \(3x^2 + 5\)

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To find the required sample size, we need to use the formula for sample size calculation based on the desired margin of error and confidence level. The formula is given by:

n = (z^2 * p * (1-p)) / E^2

First, we need to find the z-score corresponding to a 95% confidence level. The confidence level is (1 - 0.95) / 2 = 0.025, and from the z-table, the z-score corresponding to this confidence level is approximately 1.96.

Now we can substitute these values into the formula:

n = (1.96^2 * 0.72 * (1 - 0.72)) / 0.06^2

n ≈ 267.2

Rounding up to the nearest whole number, the required sample size is 268. Therefore, the correct option is 267.

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To solve this problem let's draw a picture.

We must compare ratios between the two rectangles. Like this.

For the first rectangle we may write:

12 / 5

For the second one we get:

24 / 15

But we can simplify that. Divide numerator and denominator by 3. We have:

24 / 15 = 8 / 5

Comparing both fractions:

12 / 5 ≠ 8 / 5

Answer: The new rectangle won't be proportional to the original.

The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.

To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:

Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)

Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)

We will use a one-tailed test with a significance level of α = 0.05.

To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee

P = (60 - 21) / 60 = 0.65

where 60 is the total number of subjects and 21 is the number who prefer instant coffee.

Next, we need to calculate the standard error of the sample proportion:

SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078

where n is the sample size.

Finally, we can calculate the z statistic:

z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923

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The given question is incomplete, the complete question is:

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)

Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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The first set in the list that describes the number 22 is the set of natural numbers.

The natural numbers, also known as counting numbers, are the set of positive integers starting from 1 and extending infinitely. In this set, we have numbers like 1, 2, 3, 4, and so on. Since 22 is a positive whole number, it falls within the set of natural numbers.

To provide some context, the other sets mentioned in the list are as follows:

Whole numbers: The set of natural numbers including zero (0). It includes numbers like 0, 1, 2, 3, and so on.

Integers: The set of whole numbers including their negatives. It includes numbers like -3, -2, -1, 0, 1, 2, 3, and so on.

Rational numbers: The set of numbers that can be expressed as a fraction, where the numerator and denominator are integers. Examples include 1/2, 3/4, -5/6, and so on.

Real numbers: The set of all numbers, including rational and irrational numbers. It includes numbers like pi (π), square roots of non-perfect squares, and any other number that can be expressed on the number line.

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Answer:

Step-by-step explanation:

3x^2y

3(2)^2(9)

6^18= 101 559 956 668 416

Answer:

387,420,489 is the answer to the monomial.

Step-by-step explanation:

3x^2y = 3(1)^2(9) when the variables are replaced.

3(1) = 3

2(9) = 18

3^18 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 387,420,489

Therefore, 387,420,489 is the answer to the monomial.

Hope this helps! :D

All of the inequalities that have symbols that will be reversed when the variable is isolated include the following:

C. –4.5c > 9

D. -21/5 ≤ -5/2d

In Mathematics, it is very important to note that you do not flip the inequality symbol (sign) when you are solving an inequality by multiplication or division with a positive numerical value (number).

However, you would flip the inequality symbol (sign) when you isolate the variable in an expression such as the following:

–4.5c > 9

c < -9/4.5

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Hi!

I can help you with joy!

Answer:

m=27

Hope it helps.

Do ask me if you have any query.

\(\tt{erutaNtneliS\) :)

Answer:

the answer is

235.62m^3.

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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Answer:

-7-11=-18

Step-by-step explanation:

Rounded answers In Your calculations to find missing measures is given below.

Given: a = 8.72, b = 11.1, c = 11.7

Using the Law of Cosines, we can calculate angle A:

A = arccos((b2 + c2 - a2)/2bc)
A = arccos((11.12 + 11.72 - 8.722)/(2*11.1*11.7))
A = arccos(2.61/265.57)
A = arccos(0.00984)
A = 89.8°

Using the Law of Sines, we can calculate angle B:


Using the Law of Cosines, we can calculate side c:

c2 = a2 + b2 - 2abcos(C)
c2 = 8.722 + 11.12

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The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

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Answer:

  150°

Step-by-step explanation:

You want to know the measure of an interior angle of a regular polygon that has twice as many sides as one with an interior angle of 120°.

The exterior angle of a regular polygon is the supplement of the interior angle. The polygon with an interior angle of 120° has an exterior angle of ...

  180° -120° = 60°

The sum of exterior angles is 360°, so there must be 360°/60° = 6 of them. In the polygon with twice as many sides, there will be twice as many exterior angles, so each will measure 360°/12 = 30°.

The corresponding interior angle is ...

  180° -30° = 150°

The measure of each interior angle of the second polygon is 150°.

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Answer:

The similarities are

1) Both diagrams consists of an horizontal line l for the upper diagram and k for the lower diagram

2) Both diagrams have a vertical plane Z for the upper diagram and A for the lower diagram

3) Both diagrams have rays, which are C for the upper diagram and G and H for the lower diagram

The differences are

1) The upper diagram has only one plane, while the lower diagram has two planes, seemingly rotated at an angle of about 90° to each other

2) The upper diagram has only one line, l, while the lower diagram has two lines, l and GH

Step-by-step explanation:

Answer:

Part B: Calculate the range and interquartile range (IQR) for each group and interpret what they tell us about the data.

For Group A:

Range = 5 - 1 = 4

Q1 = 2

Q3 = 4

IQR = Q3 - Q1 = 2

For Group B:

Range = 5 - 2 = 3

Q1 = 2

Q3 = 4

IQR = Q3 - Q1 = 2

The range for Group A is larger than the range for Group B, indicating that there is more variability in the growth of the plants in Group A. However, both groups have the same IQR, indicating that the middle 50% of the data in each group is similar. This suggests that while there may be some variability in the growth of the plants, the overall distribution of growth is similar between the two fertilizers.

Answer:

Bh

Step-by-step explanation:

Gg