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1 year ago

8

Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the

new laptop

1 answer:

Archy [21]1 year ago

7 0

He makes the minimum payment of $15 each month, it will take him 26 months

You might be interested in

Write the equation of a line that meets all the following requirements:

LuckyWell [14K]

9514 1404 393

Answer:

x + y = 5
y = -x + 5

Step-by-step explanation:

We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...

y -0 = -1(x -5)

Simplifying gives the slope-intercept form:

y = -x +5 . . . . . . . use the distributive property to eliminate parentheses

Adding x to both sides gives the standard form:

x + y = 5

__

<em>Explanation</em>

We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.

8 0

2 years ago

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

3 years ago

A grocery store sells 6 bottles of water for $4.00 ad 15 bottles of water for $10.00. Is the cost of the water proportional to t

barxatty [35]

Yes, the cost is proportional to the number of water bottles sold. 6 water bottles/$4.00 = 1.5 and 15 water bottles/$10.00 = 1.5.

7 0

3 years ago

X is all of the following except.<br> a constant<br> a varlable<br> an expression

DanielleElmas [232]

Answer:

a constant

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

ind the surface area of a sphere with a radius of 12 cm. Approximate as 3.14 and round your answer to the nearest hundredth

Bezzdna [24]

The surface area of a sphere is:

A=4πr^2, if r=12 and π is approximated as 3.14 then

A≈4(3.14)(12^2)

A≈4(3.14)(144)

A≈576(3.14)

A≈1808.64 cm^2

5 0

2 years ago