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igomit [66]
2 years ago
8

The height of an object launched into the air can be modeled by the graph shown.

Mathematics
1 answer:
wlad13 [49]2 years ago
3 0
12525241561255.4252626 i DOnT know I wish I could help
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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

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

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

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
2 years ago
What is 75% of 162? Show your work and/or explain your reasoning.
zhannawk [14.2K]

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

75 percent of 162 is 121.5

3 0
2 years ago
Read 2 more answers
3. Write the standard equation of the circle with the given center that passes through the given
bearhunter [10]

Answer:

D is  correct.

Step-by-step explanation:

(x + 2)^2 + (y - 6)^2 = r^2

(-2+2)^2 + (10 - 6)^2 = r^2

r^2= (10 - 6)^2

r^2=16

5 0
3 years ago
Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If
Degger [83]

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

  • 1/45 of all the potatoes

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

  • 1/30 of all the potatoes

Together, in 1 minute they can peel:

  • 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes

To peel all the potatoes they need:

  • 1 ÷ 1/18= 1 × 18= 18 minutes

So it will take them 18 minutes to peel all the potatoes

7 0
3 years ago
The graph shows the relationship between the number of gallons of water and time (in mins) g= gallons of water 12 10 8 6 4 2 and
alexandr1967 [171]

Answer:

Do you still need help??

Step-by-step explanation:

8 0
3 years ago
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