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polet [3.4K]
3 years ago
12

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics
1 answer:
MissTica3 years ago
4 0
Triangles MNP & MAB are similar (NP//AB & Angle A= Angle N (correspondent) Same for P & B

We know that MA = 67.2 -3.2 = 35.2
Since Triangles MNP & MAB are similar , then we can write the following ratio:

MN/MA=MP/MB or 67.2/35.2 =81.9/x
& x= 43 m
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Using traditional methods, it takes 94 hours to receive a basic flying license. A new license training method using Computer Aid
nikdorinn [45]

Answer:

z=\frac{95-94}{\frac{5}{\sqrt{210}}}=2.898    

p_v =2*P(Z>2.898)=0.0038    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 94 at 5% of signficance.  

Step-by-step explanation:

Data given and notation    

\bar X=95 represent the sample mean    

\sigma=5 represent the population standard deviation    

n=210 sample size    

\mu_o =94 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is different from 94, the system of hypothesis are :    

Null hypothesis:\mu = 94    

Alternative hypothesis:\mu \neq 94    

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:    

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

z=\frac{95-94}{\frac{5}{\sqrt{210}}}=2.898    

P-value    

Since is a two-sided test the p value would be:    

p_v =2*P(Z>2.898)=0.0038    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 94 at 5% of signficance.  

8 0
3 years ago
13,84,85 are the last ones please help
Margaret [11]

Answer:

49,36,85

Step-by-step explanation:

c in step 4 comes from step 3... 49+36

a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36

5 0
3 years ago
At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students
drek231 [11]

Answer:

4800

Step-by-step explanation:

x is the number of total students

x * 9/20 = number of female students

x * 9/20 = 2160

Multiply each side by 20/9

x * 9/20 * 20/9 = 2160 * 20/9

x =4800

8 0
3 years ago
A survey was conducted at Giant Supermarket where 50 students were randomly chosen and asked
Dima020 [189]

Answer:

The answer for both apples and bananas is 21

The answer for only apples or only bananas is 45

Step-by-step explanation:

36 plus 30 minus 45

50-5 is 45

only apples or bananas is 15 + 9

8 0
3 years ago
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
lukranit [14]

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

5 0
3 years ago
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