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3 years ago

A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is?

Mathematics

2 answers:

RUDIKE [14]3 years ago

7 0

Answer:

60%

Step-by-step explanation:

3÷5= .6

.6 = 60%

leonid [27]3 years ago

6 0

Answer:

60%

Step-by-step explanation:

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There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

3 years ago

Help me with the work please if you can

timurjin [86]

Answer:

1/3

Step-by-step explanation:

48+32+16=96

numerator : 32

denominator : 96

32/96=1/3

6 0

3 years ago

Toys R us is having a 38% off sale on all of their backpacks.If a backpack normally cost 22.00 how much will it be on sale

vovangra [49]

Answer:

$13.64

Step-by-step explanation:

The backpack is originally priced at $22. During the sale, the price would be 38% off which means you pay 62% of the original price. We can find this by multiplying by the percent 62 (converted into a decimal).

22(0.62)=13.64

The sale price at the sale is $13.64.

4 0

4 years ago

M/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x

Nina [5.8K]

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

m∠HGI = 26x

m∠HGF = 161°

Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

135x + 26x = 161

Combine like terms:

(135x + 26x) = 161

161x = 161

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

x = 161/161 = 1

5 0

3 years ago

A cyclist rides 8 miles in 32 minutes. What is the speed of the cyclist in miles per hour?

Neko [114]

Well 32 minutes is half of an hour so 8 miles would be half of the full x miles
so 8 x 2 would be 16
16 miles per hour

0 0

3 years ago

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A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is?​

A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is?