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ddd [48]
2 years ago
5

Solve for x, and angle c

Mathematics
1 answer:
patriot [66]2 years ago
5 0

9514 1404 393

Answer:

  x = 12.75

  ∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

  (5x -12) +(3x) = 90

  8x = 102

  x = 102/8

  x = 12.75

__

C = (5x -12)° = (5(12.75) -12)°

  ∠C = 51.75°

__

<em>Check</em>

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

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Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

After replace we got:

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

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
What is the 93rd term of the arithmetic sequence -6, 13, 23 and how do I find it?​
e-lub [12.9K]

Answer:

Step-by-step explanation:

the formula for an arithmetic sequence is

a, a+d,a+3d,a+3d etc, where d is the common difference

we have the terms -6, 13,23

first term is -6

-6+19=13

however, 13+10=23

this is not an arithmetic sequence

7 0
2 years ago
Please show work <br><br> Thank uuuu :)
hjlf

2 boxes for $6.00 5 Bars each is 10 bars for $6.00 or $3.00 for 5 bars

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so the difference between 60 cents and 62 cents is

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3 0
3 years ago
A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

3 0
2 years ago
The heaviest 16% of all men in weight weigh more than how many pounds ?
Likurg_2 [28]

Answer: 205 lbs

here are all the answers http://washburn.mpls.k12.mn.us/uploads/normal_calculations_practice_key.pdf

Step-by-step explanation:


5 0
3 years ago
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