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geniusboy [140]
3 years ago
6

Remainder of 42325/47=

Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0
The answer is 900 r25
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Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex
Nataly [62]

Answer:

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

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".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

5 0
3 years ago
A fair dice is rolled 3 times in a row. The outcomes are shown below.
maks197457 [2]

Answer:

1/3

Step-by-step explanation:

I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..

Ex. Rolling a 6 sided dice.. you roll a 5...  it would be 1/6.

Hope that makes sense.

8 0
3 years ago
A triangular prism has a height of 9 meters and a triangular base with the following dimensions
nadya68 [22]

Answer:

b 432m

Step-by-step explanation:

A triangular prism has a height of 9 meters and a triangular base with the following dimensions

What is the volume of the prism?

Answers: 420m, 432m, 288m 324m

7 0
2 years ago
Read 2 more answers
the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an eq
Oksanka [162]
So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000*1.02^{z}
8 0
3 years ago
Mary makes biws for floral arrangements she uses 1/8 yard of ribbon for each bow how many bows can she make from two spools that
olga2289 [7]
STEP 1:
Calculate total amount of ribbon
= 2 spools * 24 yards each
= 48 yards total

STEP 2:
Divide total yards (48 yards) by portion size (1/8 yard)

= 48 ÷ 1/8
to divide fractions, we multiply by the reciprocal/inverse of 1/8
= 48 * 8/1
= 48 * 8
= 384 bows

ANSWER: She can make 384 bows.

Hope this helps! :)
5 0
3 years ago
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