4) Victoria bought 50 beads. She paid $6 for
the beads. How much did each bead cost?
Define a variable and write an equation.
Solve the equation.

The correct answer is option (a) Not quite - it is a more complicated method than a SRS, but the data is representative of all American adults.

The General Social Survey (GSS) is a nationally representative survey of the adult population of the United States. The GSS uses a multistage area probability sample design, which means that the sample is selected in two or more stages, with the first stage being the selection of primary sampling units (PSUs) and the second stage being the selection of households or individuals within PSUs.

While the GSS does not use a simple random sampling method, the survey design is intended to provide a representative sample of the U.S. adult population. The GSS employs a complex sampling design that takes into account stratification, clustering, and oversampling of certain groups, such as African Americans, Hispanics, and Asian Americans. This design is intended to improve the precision of estimates for these groups, which may be small in number in the overall population.

Therefore, the correct option is (a) Not quite - it is a more complicated method than a SRS, but the data is representative of all American adults.

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Answer:

no

Step-by-step explanation:

Answer:

f(3) = - 18

Step-by-step explanation:

To evaluate f(3) , substitute x = 3 into f(x) , that is

f(3) = - 4(3 + 1) - 2 = - 4(4) - 2 = - 16 - 2 = - 18

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

14 = 15 - x

Step-by-step explanation:

14 = 15 - x

14 = 15 -1

14 = 14

Hope this helps!

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

1 2 5

Step-by-step explanation:

Answer:

A, D, E  are the correct ones    aka  1, 4 and 5

Step-by-step explanation:

16/27 is the value of quantity.

What is a linear equation in math?

\(\frac{3^{2} * 3^{-5} }{4^{2} } = \frac{3^{-3} }{4^{-2} }\)

\(\frac{1}{3^{3} }\)  ÷  \(\frac{1}{4^{2} }\)

\(\frac{1}{27} * 16 = \frac{16}{27}\)

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Answer:

4p + 5

Step-by-step explanation:

Add all like terms:

p + 2p + p = 4p

1 + 4 = 5

4p + 5

Hey there! I'm happy to help!

To find the volume of a cone, we multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find a circle, you square the radius and then multiply by pi (or 3.14 in our case).

Radius is half of the diameter.

3/2=1.5

We square this.

1.5²=2.25

We multiply by 3.14

2.25×3.14=7.065

Now, we multiply this base area by the height.

7.065×7=49.455

We divide by 3.

49.455/3=16.485

Therefore, if we round this, our answer is 16.49 in³.

Now you can find the volume of a cone! Have a wonderful day! :D

Answer:

16.49

Step-by-step explanation:

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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The Biased samples that are most likely to be biased are as follows;

The residents of every other house on her street.

The people at the computer store.

At the mall every 100th person from the town’s phone registry.

Every 10th person who walks down the main street in her town.

According to the statement

we have given that the:

Maria wants to take a survey to predict who will win the election for her town’s mayor.

So, For this purpose

Biased sample In epidemiology, a sample of a group that does not equally represent the members of the group.

The above people are selected randomly with no specific characteristics, so it is less likely to be biased.

These people are selected according to specific characteristics; Subscribing to the golf magazine (who tends to be rich and biased in politics).

So, it is more likely to be biased.

The Biased samples that are most likely to be biased are as follows

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Answer:

A: The residents of every house on her street

B: The subscribers to a golf magazine

C: The people at the computer store at the mall

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

Given that the line passes through the point (-6,8) and has a slope of -5/3.

We are required to find the equation of the line whose description is given.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.

We have been given slope be -5/3.

y=mx+c--------------1

Put m=-5/3 in equation 1.

y=-5/3x+c------------2

Put (-6,8) in equation 2.

8=-5/3 *(-6)+c

8=-5*(-2)+c

8=10+c

c=-2

Use the value of c in equation 2.

y=-5/3x-2

Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

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Answer:

30 is the volume

Step-by-step explanation:

Multiple 6x5 to get your answer

Step-by-step explanation:

x-5 < -3

or, x < -3 +5

or, x < 2

Now,

x +8 >2

or, x >2 - 8

or, x >-6

\((x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3\)

(a) The power of the test for this two-sided alternative, with the given sample sizes, is approximately 0.921. (b) the sample size needed to detect this difference with a probability of at least 0.9 and α = 0.05 is approximately 559 for each machine.

What is power of the test?
The power of a statistical test is the probability of correctly rejecting a null hypothesis when it is false. It measures the test's ability to detect an effect or difference if it truly exists. A higher power indicates a greater likelihood of detecting the alternative hypothesis and avoiding a Type II error.

To calculate the power of the test, we need to compute the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, the alternative hypothesis would be that the proportion of defective parts is not equal between the two machines.

Using the formula for the power of a two-sample proportion test, the power can be calculated as follows:

Power = 1 - β = 1 - P(Type II Error)

where β is the probability of a Type II Error, which is the probability of failing to reject the null hypothesis when it is false.

Given the sample sizes and the probabilities of defects (p₁ = 0.05 and p₂ = 0.01), we can calculate the standard errors for the proportions and then use those to calculate the test statistic and the power.

Using the formula for the standard error of a proportion (SE = sqrt((p * (1 - p)) / n)), we find:

SE₁ = sqrt((0.05 * (1 - 0.05)) / 300) ≈ 0.009082

SE₂ = sqrt((0.01 * (1 - 0.01)) / 300) ≈ 0.005774

The test statistic for comparing two proportions is given by:

Z = (p₁ - p₂) / sqrt(SE₁² + SE₂²)

Calculating the test statistic, we have:

Z = (0.05 - 0.01) / sqrt(0.009082² + 0.005774²) ≈ 13.218

Next, we calculate the power using the standard normal distribution:

Power = P(Z > Z_critical) = 1 - P(Z ≤ Z_critical)

Z_critical is the critical value corresponding to the desired significance level (α = 0.05).

Using a statistical software or a standard normal distribution table, we find:

Z_critical ≈ 1.96

Hence, the power of the test for this two-sided alternative is approximately 0.921.

(b) To determine the sample size needed to detect this difference with a probability of at least 0.9 and α = 0.05, we need to calculate the required sample size for each machine.

The formula for sample size calculation in comparing two proportions is given by:

n = [(Z₁ - Z₂) / (p₁ - p₂)]² * (p * (1 - p) / (p₁ - p₂)²

where Z₁ is the Z-value corresponding to the desired power (0.9), Z₂ is the Z-value corresponding to the desired significance level (α = 0.05), p₁ and p₂ are the probabilities of defects, and p is the expected value of the common proportion (taken as the average of p₁ and p₂).

Using the given probabilities of defects (p₁ = 0.05 and p₂ = 0.01), we can calculate the required sample sizes.

Taking p = (p₁ + p₂) / 2 = (0.05 + 0.01) / 2 = 0.03, and plugging in the values into the formula, we have:

n = [(Z₁ - Z₂) / (p₁ - p₂)]² * (p * (1 - p) / (p₁ - p₂)²

= [(Z₁ - Z₂) / (0.05 - 0.01)]² * (0.03 * (1 - 0.03) / (0.05 - 0.01)²

Using Z₁ ≈ 1.282 (corresponding to a power of 0.9) and Z₂ ≈ 1.96 (corresponding to α = 0.05), we can calculate the required sample size:

n = [(1.282 - 1.96) / (0.05 - 0.01)]² * (0.03 * (1 - 0.03) / (0.05 - 0.01)²

≈ 558.96

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Answer:

b=A/h

Step-by-step explanation:

In order to solve for b, we need to isolate b. We can do this by dividing both sides by h:

A = bh

A/h=b

b=A/h

Answer:

10

Step-by-step explanation:

I can't write it out, sorry!

Answer:

x = 10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

x = \(\sqrt{100}\) = 10

Answer:

88.6666...

Step-by-step explanation:

You get this by dividing 13.3 by 15 and then multiplying by 100

The length of the ladder is approximately `17.3` feet, rounded to the nearest tenth.

Let `x` be the length of the ladder. According to the problem, the ladder is leaning against the side of a house and the angle of elevation of the ladder is `60°`. Thus, we can draw a diagram of the situation: We can now use trigonometry to find the length of the ladder. In particular, we can use the fact that the tangent of an angle is equal to the opposite side over the adjacent side.

In this case, we want to find the length of the ladder, which is the opposite side, given the angle of elevation, which is the angle opposite the ladder, and the distance from the ground to the top of the ladder, which is the adjacent side. We know that the tangent of `60°` is `√(3)`. Thus, we have:```
tan(60°) = √(3) = x/h
```where `h` is the distance from the ground to the top of the ladder. Solving for `x`, we get:```
x = h × √(3)
```We are given that the distance from the ground to the top of the ladder is `10` feet. Thus, we have:```
x = 10 × √(3) ≈ 17.3
```Therefore, the length of the ladder is approximately `17.3` feet, rounded to the nearest tenth.

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In a case whereby Ken and Hamid run around a track where it take Ken 80 seconds to complete a lap It take Hamid 60 seconds to complete a lap. the number of  laps they will each have run when they next meet on the start line is that Ken will have run 3 laps and Hamid will have run 4.

The LCM of 80 nd 60 seconnds can be written as 240,  however when 240 seconds go then they will both be at the start line.

So the lap that  Ken will covered in 240s = 240/80 = 3laps

So the lap that  Hamid will covered in 240s = 240/60 = 4laps

Therefore, we can come into conclusion that Ken will have to run   3laps  where Hamid will have run  4Laps.

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Step-by-step explanation:

The only digit that is neither composite nor prime is 1, so the hundreds place is 1. Therefore, the digit in the ones place is twice 1, or 2. The only even prime number is 2, so the digit in the lakhs place is 2. We have 2 options for the tens thousands and tens places, 3 and 1 or 5 and 3 respectively. 7 and 5 does not work because 7 + 5 = 12, and 12 is not a digit. From this, the thousands place could be 4 or 8. Therefore, the number could be 234112 or 258132. Hope this helps!

Answer:234112 or 258132.

Step-by-step explanation:

(L2) A(n) inscribed circle is a circle that is contained within a polygon so that the circle intersects each side of the polygon at exactly one point.

An inscribed circle is also known as an incircle, and it is the largest circle that can be inscribed inside a polygon. In a polygon, if all sides are of equal length and all angles are of equal measure, then the inscribed circle will be a regular circle. The center of the inscribed circle is called the incenter, and it is the point of concurrency of the angle bisectors of the polygon. The incenter is equidistant from all sides of the polygon, and the radius of the inscribed circle is equal to the distance between the incenter and any side of the polygon.

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Answer:

66°

Step-by-step explanation:

Draw the figure to left on a piece of paper and rotate in to fit. I think ∠C = ∠M.

the figures are ≅ so corresponding sizes and angles are ≅.

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

Answer:

y=-4x-3

Step-by-step explanation:

For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:

(y-5)=-4(x+2)

y-5=-4x-8

y=-4x-3

hope this helps! :)

Step-by-step explanation:

17². + 144²=x²

289 + 20736=x²

x²=21025

x =√21025

x=145

145 miles apart

50 miles apart

hope this helps

In the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

Given that,
To write a true statement about the relationship between the line segments and angle measures when a translation is applied to a preimage.

The line is a curve showing the shortest distance between 2 points.

The angle can be defined as the one line inclined over another line.

Here,
The translation is a process, in which the same figure with the same orientation shifted its position which does not affect the orientation or size to the preimage,

Thus, in the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

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Answer:

\( \sf \: \frac{14}{3} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: \frac{7}{9} \times 6\)

Let's solve the problem,

\( \sf \rightarrow \: \frac{7}{9} \times 6\)

\( \sf \rightarrow \: \frac{(7 \times 6)}{9} \)

\( \sf \rightarrow \: \frac{42}{9} \)

\( \sf \rightarrow \: \frac{14}{3} \)

Hence, the product is 14/3.