The volume of a cone is 3,532.5 cm. The radius and height of the cone are equal. What is the radius of the cone?

A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true propo

Archy [21]

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 25, \pi = \frac{12}{25} = 0.48$

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 $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758$

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

8 0

3 years ago

Plz, Help me with this question.

UNO [17]

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

= 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

6 0

3 years ago

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In Monogram and other works, Robert Rauschenberg synthesized Abstract Expressionist painting and Neo-Dada assemblage to create w

mars1129 [50]

Answer:White Paintings

Step-by-step explanation:

In 1951, Robert Rauschenberg painted some stretched canvanses a plain, solid white, leaving minimal roller marks. Each of his works consist of different number of panel iterations ( one to seven panels) which are collectively known as 'the white paintings'.

7 0

3 years ago

the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.

never [62]

Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
$\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}$

So the length is equal to $\boxed{\sf{\frac{17}{2}}}$

4 0

3 years ago

Find the product<br> 876 greater or equal to 65 =

Salsk061 [2.6K]

Greater ..............

8 0

3 years ago

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