Use the line plot to answer the questions, and describe how you figured out the answer to each question. 80 POINTS IF ANSWERD AND GIVING BRAINLIEST



How many boxes did Lamar sell?

How many more boxes did John sell than Suzy?

How many more boxes would Lizzy have to sell to equal how many Mark sold?

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

d

Step-by-step explanation:

Answer:

ok some idiot mod deleted my answer but literally all i put was k=6

Step-by-step explanation:

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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Answer:

1. SSS

2. ASA

3. SAS

4. SSS

5. AAS

6. ASA

7. SSS

8. SAS

Step-by-step explanation:

The correct value of \($t^*$\) to be used to create a 90% confidence interval for the true mean number of calls is 1.676

In this scenario, the director of a customer service center wants to estimate the mean number of customer calls the center handles each day. To create a 90% confidence interval for the true mean number of calls, the director needs to use a confidence interval formula that takes into account the sample size, sample mean, and the standard error of the mean.

The standard error of the mean, denoted as \($SE_{\bar{x}}$\), represents the standard deviation of the sampling distribution of the mean. It can be calculated using the formula:

\($SE_{\bar{x}} = \frac{s}{\sqrt{n}}$\)

where\($s$\) is the sample standard deviation and \($n$\) is the sample size.

The director can use the t-distribution to create the confidence interval, as the sample size is relatively small (less than 30). The formula for the 90% confidence interval is:

\($\bar{x} \pm t^* \frac{s}{\sqrt{n}}$\)

where\($\bar{x}$\) is the sample mean, \($s$\) is the sample standard deviation,\($n$\) is the sample size, and \($t^*$\) is the critical value from the t-distribution with (n-1) degrees of freedom and a 90% confidence level.

To determine the value of \($t^*$\), the director needs to consult a t-distribution table or use a statistical software. For a 90% confidence interval and 47 degrees of freedom (48 - 1), the value of \($t^*$\) is approximately 1.676.

Therefore, the correct value of \($t^*$\) to be used to create a 90% confidence interval for the true mean number of calls is 1.676. Using this value, the director can calculate the confidence interval by plugging in the sample mean, sample standard deviation, and sample size into the formula. This will give an estimate of the range of values where the true population mean lies with 90% confidence.

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Answer:

1600$

Step-by-step explanation:

By using the SI formula,

\(SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$\)$

Option C) 1600$ is correct

Mark me brainliest

Try using the pythagorean theorem i think?

Answer:

The Base is Greater than the height

Step-by-step explanation:

So the answer has to be greater than eight.

Answer: To show that the number 52.470817081708 is rational, we need to express it as a ratio of two integers.

Let x = 52.470817081708. We can write x as a sum of its integer part and fractional part:

x = 52 + 0.470817081708

To convert the fractional part to a fraction, we can multiply both numerator and denominator by a power of 10 that will eliminate the decimal point. In this case, we can multiply by 10^12:

0.470817081708 = 470817081708 / 10^12

Therefore, we can write:

x = 52 + 470817081708 / 10^12

We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor:

x = 52 + 163717 / 3125000

So we have expressed x as a ratio of two integers, 163717 and 3125000. Therefore, 52.470817081708 is a rational number.

The number 52.470817081708 is rational because it can be expressed as a ratio of two integers: 52470817081708

To show that 52.470817081708 is rational, we need to write it as a ratio of two integers.

First, we can see that the number has a repeating pattern of digits after the decimal point, which tells us that it can be expressed as a fraction. To do this, we'll count the number of decimal places in the repeating pattern, which is 12 in this case.

Next, we'll use the following formula to convert the repeating decimal to a fraction:

x = a + b/(10^n - 1)

Where:

- x is the repeating decimal
- a is the non-repeating part of the decimal (in this case, it's just the whole number 52)
- b is the repeating part of the decimal (in this case, it's the digits 470817081708)
- n is the number of digits in the repeating pattern (in this case, it's 12)

So plugging in our values, we get:

52.470817081708 = 52 + 470817081708/(10^12 - 1)

Simplifying the denominator, we get:

52.470817081708 = 52 + 470817081708/999999999999

To write this as a ratio of two integers, we'll simplify the fraction:

52.470817081708 = 52 + 235408540854/499999999999

So the number 52.470817081708 can be written as the fraction 52 + 235408540854/499999999999, which is a ratio of two integers. Therefore, we have shown that 52.470817081708 is rational.

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Answer:

108 and 110

Step-by-step explanation:

because the pattern is multiply by 4, then add 2

Answer:

the answer you are looking for is 10.

Step-by-step explanation:

10

Answer:

x = 9

\(13x - 7 = 110 \\ 13x = 110 + 7 \\ 13x = 117 \\ \frac{13x}{13} = \frac{117}{7} \\ x = 9\)

Answer:

width equals fifteen times one hundred sixty five

is that right or is that ok or good enough?? sorry if i am wrong....

Answer:

W = 2475

Step-by-step explanation:

I am not sure if you want the answer or not but I hope this helps

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Punch made with 3 cups: 2 cups of cranberry juice

Divide the proportion's two sides by 5.

Ten glasses of cranberry juice in a 15-cup punch

The ratio has not changed; it has simply been scaled up to produce 15 cups of punch. Cranberry juice and pineapple juice are combined to produce punch by Yuan. He uses 2 cups of cranberry juice for every 3 cups of pineapple juice.

The pineapple juice just makes up the latter portion of the ratio. The appropriate quantity of each juice type is in the box to create 10 cups of yuan's punch.

2 cranberries, 1 pineapple, and 3 cups

10 cranberries, 5 pineapples, and 15 cups

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Answer: 4:6

Step-by-step explanation:

Answer:

BM = 7.5 cm

Step-by-step explanation:

A = (b x h)/2

A x 2 = b x h

h = A x 2 / b

A = 7.5 x 8 / 2

A = 7.5 x 4 = 30 cm^2

BM = 30 x 2 / 8

30 / 4 = 7.5 cm

The area of the segment of the circle is 13.9cm²

To calculate the area of segment of the circle, we can use the formula which is given as;

A = (1/2) * r² * [(π/180)θ - sinθ]

In the problem, our data given are;

Substituting the values into the formula;

A = (1/2) * 6² * [(π/180)45 - sin45]

A = 0.5 * 36 * [(3.14/180)45 - sin45]

A = 0.5 * 36 * 0.773

A = 13.9cm²

The segment area is 13.9 squared meters

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Answer:

300 ft^2

Step-by-step explanation:

Multiply 30 by 10

The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, I have 80 feet of fencing.

Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.

∴ 2(l + b) = 80.

l + b = 40.

So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.

We know the product of the sum of two numbers is maximum when the difference between them is minimum.

∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.

Area = 21×19 sq feet.

= 399 sq feet.

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6(8-2x)=4x

First, apply distributive property:

6 (8)+ 6 (-2x) = 4x

48-12x =4x

Move the "x" terms to the right:

48 = 4x+12x

Combine like terms

48 = 16 x

Divide both sides of the equation by 16:

48/16 = 16x/16

3 = x

x = 3

Answer:

c(p) = {0.2 p ⇒ p < 1000

          0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

          0.29 p - 140 ⇒ p > 2000}

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p =  = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

 commission rate is 20% of the first $1,000 and 24% of the remainder

 of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

 the reminder

∵ 20% of 1000 =  = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit =

 = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

  of profit,  24% of the next $1,000 of profit, and 29% of the amount

  of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

 next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 =  = 200

∵ 24% of 1000 =  = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   = 0.29(p - 2000)

  = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p =  = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

 commission rate is 20% of the first $1,000 and 24% of the remainder

 of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

 the reminder

∵ 20% of 1000 =  = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit =

 = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

  of profit,  24% of the next $1,000 of profit, and 29% of the amount

  of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

 next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 =  = 200

∵ 24% of 1000 =  = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   = 0.29(p - 2000)

  = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

Answer:

x=15

Step-by-step explanation:

The volume of the sphere, rounded to the nearest cubic unit, is 77,148 cubic units.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π is approximately 3.14.

Substituting the given value of the radius, we get:

V = (4/3)π(18³)

V = (4/3)π(5,832)

V = 24,544π

To round the answer to the nearest cubic unit, we need to find the value of V to the nearest whole number. Since π is approximately 3.14, we can use this value to estimate the value of V:

V ≈ 24,544 × 3.14

V ≈ 77,148.16

Rounding this value to the nearest whole number, we get:

V ≈ 77,148

Therefore, the volume of the sphere, rounded to the nearest cubic unit, is 77,148 cubic units.

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Answer:

240/2, 360/3

Step-by-step explanation:

240/2 and 360/3 both involve division and both of their answers are equal to 120, assuming these count as number sentences.

Answer:

Step-by-step explanation:

Answer:

B. 3≤x≤ 6

Step-by-step explanation:

When a question asks for the domain of a function, it is asking for all possible x-values. Look at the graph of the function- there are no points on the graph where x=1, so we know that C and D are definitely wrong since they include 1.  The two that are left look very similar, but A means "3 is greater than or equal to x, x is greater than or equal to 6." This has to be wrong because it says that 3 is greater than 6, which is obviously incorrect. The only answer left is B, which is correct because it includes all possible x-values.

lmk if this is incorrect or hard to understand, hope this helps!!!

(btw dont click on unknown links like the one in the other answer)

if an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the null hypothesis would be that the true population proportion would be equal to 0.5

This is further explained below.

Generally, The null hypothesis is a common kind of statistical theory that proposes there is no statistical link and significance between two sets of observed data and measurable phenomena in a set of provided single observable variables.

In conclusion, In the event that a company is interested in determining whether or not a subset of its workers are unsatisfied with the incentives they get, the null hypothesis would state that the actual population percentage would be equal to fifty percent.

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CQ

If an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the nult hypothesis would be that the true population proportion would be: less than 5 OOOO greater than 5 not equal to 5 .5