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3 years ago

Charlotte has 12 t-shirts .one fourth of her t-shirts are green. How many of Charlotte's t-shirts at are green?

Mathematics

1 answer:

irina1246 [14]3 years ago

7 0

We have an equation: ?/12= 1/4

Cross multiply:
4*?= 1*12
⇒ ?= 1*12/4= 3

3 of Charlotte's T-shirts are green~

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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range

maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, $\hat p$ .

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 150

$\hat p$ = 0.68

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)$

Thus, the reasonable range for the population mean is (61%, 75%).

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3 years ago

Peyton buys cookies and apples at the store.

Dmitrij [34]

Answer:

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Step-by-step explanation:

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2 years ago

On January 1st, the high temperature was 81 °F in kona, hawaii. the low temperatures was 29 °F in Barrow, Alaska. What was the d

Elena L [17]

Answer:

52 Degrees

Step-by-step explanation:

Subtract 29 (lower number) from 81 (higher number). This will often give you the difference (52) between the two measurements.

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3 years ago

A hot dog costs $1 at the ballpark. Which equation shows the total cost, C, of n hot dogs?

pochemuha

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1 year ago

Read 2 more answers

What is the inverse of x^2-4x+5

lisabon 2012 [21]

we are given

$f(x)=x^2-4x+5$

Since, we have to find inverse of this function

step-1: we set f(x)=y

$y=x^2-4x+5$

step-2: switch x and y

$x=y^2-4y+5$

step-3: Solve for y

$y^2-4y+(5-x)=0$

now, we can use quadratic formula

$y=\frac{4+\sqrt{4^2-4(5-x)} }{2}$

$f^{-1}(x)=\sqrt{x-1}+2$

$f^{-1}(x)=-\sqrt{x-1}+2$ ..............Answer

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3 years ago