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PilotLPTM [1.2K]
3 years ago
5

At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from

South American countries? Construct a double number line if needed.
Mathematics
2 answers:
marysya [2.9K]3 years ago
4 0

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Olenka [21]3 years ago
4 0

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.

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The ratio of dogs to cats at a pet store is 2 to 3. Which of these she's the possible numbers of dogs and cats in the pet store?
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A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and
Artyom0805 [142]

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10 friends can go to the amusement park

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8 0
2 years ago
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=929 and x=523 who said "ye
77julia77 [94]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of people that feel vulnerable to identity theft in a sample of 929.

This variable is discrete and has a binomial distribution. X~Bi(n;p)

The parameter of interest is the population proportion of people that feel vulnerable to identity theft.

To calculate the 99% CI for the population proportion you have to use the approximate distribution to normal for the sample proportion p'≈N(p; \frac{p(1-p)}{n})

a. The best point estimate for p is the sample proportion p' you calculate it as:

p'= x/n= 523/929= 0.56

b. The formula for the confidence interval is

p' ± Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }

Where Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} } is the margin of error

In this case Z_{1-\alpha /2}= Z_{0.995}= 2.586

Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }= 2.586*\sqrt{\frac{0.56*0.44}{929} }= 0.04

c. Then the interval is

0.56 ± 0.04

[0.52;0.6]

d.

With a 99% confidence level, you can expect that the interval [0.52;0.6] will include the true value of the proportion of people that feel vulnerable to identity theft.

The correct answer is

3. there is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

I hope this helps!

5 0
3 years ago
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