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Leviafan [203]
3 years ago
5

A plane rises from​ take-off and flies at an angle of 4° with the horizontal runway. When it has gained 450 ​feet, find the​ dis

tance, to the nearest​ foot, the plane has flown. An airplane is at vertex B of a right triangle that has a horizontal side A C, a vertical side B C of length 450 feet, and a dashed hypotenuse A B of unknown length c that rises from left to right. Angle C is the right angle and angle A measures 4°.

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer: a)6447feet

b) 6446.98feet

Step-by-step explanation:

For the first question, it is represented with figure 1 in the picture attached

For the second question, it is represented with figure 2 in the picture attached

You might be interested in
Finf the diffrence write your answer in simplest form 2/7+2/5
Fed [463]
The difference (the answer of a subtraction problem) is:
2/7 - 2/5  -->  10/35 - 14/35 = -4/35

The answer sum (the answer of an addition problem) is:
2/7 + 2/5  -->  10/35 + 14/35 = 24/35

Hope this helps.
4 0
3 years ago
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample
lana [24]

Answer:

z=\frac{0.579 -0.67}{\sqrt{\frac{0.67(1-0.67)}{38}}}=-1.193  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.1 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that  the proportion of women athletes graduated is not significantly lower than 0.67 or 67% at 10% of significance

Step-by-step explanation:

Data given and notation

n=38 represent the random sample taken

X=22 represent the number of women athletes graduated

\hat p=\frac{22}{38}=0.579 estimated proportion of women athletes graduated

p_o=0.67 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.67 or no:  

Null hypothesis:p \geq 0.67  

Alternative hypothesis:p < 0.67  

When we conduct a proportion test we need to use the z statisitc, 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.

Calculate the statistic  

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

z=\frac{0.579 -0.67}{\sqrt{\frac{0.67(1-0.67)}{38}}}=-1.193  

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 provided \alpha=0.1. The next step would be calculate the p value for this test.  

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

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.1 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that  the proportion of women athletes graduated is not significantly lower than 0.67 or 67% at 10% of significance

3 0
2 years ago
I need help please ​
emmainna [20.7K]

Answer:

1+1=2

Step-by-step explanation:

3 0
2 years ago
What is 2 and 2/3 mi in feet
Nina [5.8K]
14080 ft is the answer

hope this helps you
7 0
3 years ago
Read 2 more answers
Solve the equation: 2^3·2^2
torisob [31]

Answer:

32

Step-by-step explanation:

2^3 * 2^2\\8 * 4\\32

3 0
2 years ago
Read 2 more answers
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