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Monica [59]
2 years ago
6

Out of a group of 250 pupils, 10 pupils could not join the school's excursion due to illness.

Mathematics
1 answer:
Arada [10]2 years ago
8 0

Answer:

out of 250 wala nagka crush sayo hshshs

charot lng

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10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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

The margin of error of the survey is:

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

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

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

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
Erin makes a paper chain. Each loop of the paper chain is about 3 inches long. Erin puts 8 loops of paper together. About how lo
prohojiy [21]
For eight loop, multiply it by 3 to get the whole length of loop
8 x 3 = 24 inches
Since 12 inches is equivalent to 1 feet, convert that
24 inches * (1 feet / 12 inches) = 2 feet

5 0
3 years ago
Please help me I would really appreciate it, If you can't that is okay but please try!
jeka57 [31]

Answer:

Either A or B

Step-by-step explanation:

Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?

8 0
2 years ago
A book sold 41,900 copies in its first month of release. Suppose this represents 8.1% of copies sold to date. How many copies ha
babymother [125]

517284 books have been sold to date.

Step-by-step explanation:

Given,

Copies sold in first month = 41900

This represents 8.1% of copies sold to date.

Let,

x be the number of copies that have been sold to date.

8.1% of x = 41900

\frac{8.1}{100}*x=41900\\0.081x=41900\\

Dividing both sides by 0.081

\frac{0.081x}{0.081}=\frac{41900}{0.081}\\x=517283.95

Rounding off to nearest whole number

x = 517284

517284 books have been sold to date.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/8540796
  • brainly.com/question/8618791

#LearnwithBrainly

3 0
3 years ago
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2
alisha [4.7K]

\Delta=5^2-4\cdot1\cdot7=25-28=-3

\Delta so 0 solutions.

5 0
3 years ago
Read 2 more answers
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