A massage costs $81.50 per hour. How much will a massage for 2.5 hours cost

Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides

Firdavs [7]

<span>D.if a polygon has four congruent sides, then it is a square. </span>

7 0

3 years ago

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

the pitch of a roof is the number of feet the roof rises for each 12 feet horizontally if a roof has a pitch of 8,what is the sl

Korolek [52]

So slope=rise/run
rise=8
run=12
8/12=4/6=2/3
the slope=2/3

8 0

3 years ago

At camp last summer the ratio of boys to girls was 3:5 if there was a total of 160 campers how many girls were there

IRISSAK [1]

I believe there is 100 girls or something close to that.

8 0

3 years ago

Shawna has 4/5 ounces of juice. She drinks 3/4 of it. How much is left

Bezzdna [24]

Answer:

0.05

Step-by-step explanation:

I turned the fractions into decimals. to do that your do exactly as it tells you!

4 divided by 5 = 0.8

so she has 0.8 ounces of juice (That not alot lol I would not be satisfied) now for how much she drank...

3 divided by 4 =0.75

0.80 - 0.75 = 0.05

She drank 0.05 ounces

Hope this helped! Please mark as brainliest! Thanks! If you need me to turn 0.05 in a fraction i can do that.

4 0

3 years ago