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kupik [55]
2 years ago
8

In a history class, students take a weekly multiple choice quiz consisting of 6 questions, each with 4 possible answers. if a st

udent randomly guesses at the answer to each question for every quiz, then what is the mean number of correct answers the student will get on each quiz?
Mathematics
1 answer:
Mademuasel [1]2 years ago
8 0
There are 24 possible answers, 6 are correct answers and 18 are incorrect answers. By use of the hypergeometric distribution the probabilities of each possible number of randomly selected correct answers can be found, as follows:
P(0) = 0.1379, P(1) = 0.3819, P(2) = 0.341, P(3) = 0.1213, P(4) = 0.017, P(5) = 0.0008, P(6) = 0.000007.
The expected or mean number of correct answers is found from:
E(X)=0\times0.1379+1\times0.3819+2\times0.341+3\times0.1213+4\times0.017+5\times0.0008+6\times0.000007=1.4998
The answer is: 1.4998

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Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container
Alecsey [184]

Answer:

2 5/12 cups

Step-by-step explanation:

Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

The amount of juice remaining in the measuring cup is calculated as:

3 2/3 - 1 1/4

= 3 - 1 + ( 2/3 - 1/4)

LCD = Lowest Common Denominator is 12

= 2 + (4 × 2 - 3 × 1/12)

= 2 + (8 - 3/12)

= 2 + 5/12

= 2 5/12 cups

Hence, the amount of juice remaining in the measuring cup = 2 5/12 cups of juice

7 0
3 years ago
Does going to a private university increase the chance that a student will graduate with student loan debt? A national poll by t
Snowcat [4.5K]

Answer:

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

Step-by-step explanation:

1) Data given and notation

n=1500 represent the random sample taken

X represent the number of graduates that had student loan debt in 2014

\hat p=0.71 estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

p_o=0.69 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that if there was a significant increase in the proportion of student loan debt for public and nonprofit colleges in 2014 respect to the value of 2013.:  

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.71 -0.69}{\sqrt{\frac{0.69(1-0.69)}{1500}}}=1.675  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>1.675)=0.047  

If we compare the p value obtained and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults that said that it is morally wrong to not report all income on tax returns  is not significantly higher than 0.69.  

5 0
3 years ago
given triangle abc is similar to triangle efg, with medians cd and gh respectively, ac=9, eg=6, cd=x+2, gh=2x-4. find the length
Leno4ka [110]

Answer:

X= 9//

Step-by-step explanation:

abc = efg

ac + cd = eg + gh

9 + (x+2) = 6 + (2x-4)

9 - 6 = 2x-4 - (x+2)

3 = x - 6

3+6 = x

9 = x//

3 0
2 years ago
I need help please?!!!!
Liula [17]

The answer is -5 all you have to do is divide -15 by 3

8 0
3 years ago
The measures of two angles are 4x and (2x+12). what is the measurement of each angle if x=13?
oksano4ka [1.4K]

Answer:

52 and  38

Step-by-step explanation:

If x = 13 then 4x = 4 * 13 so 52.  

Same for the next one.  2x = 2 * 13 so 26.  26+12 is 38.  

Done...

7 0
3 years ago
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