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Vladimir79 [104]
3 years ago
13

Amy has $800 saved but withdraws $80 per week for gas and groceries​

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Answer:

800-80w.

800-80(2)=800-160=640 left in 2 weeks.

800-80(3)=800-240=560

800-80(5)=800-400=400

800-80(7)=800-560=240

800-80(10)= 0. She has 10 weeks until all of her money is gone

Function: 800-80w

Range: 460

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(5x 4 – 3x 3 + 6x) – ( 3x 3 + 11x 2 – 8x)
BaLLatris [955]
5x⁴ - 3x³ + 6x) - (3x³ + 11x² - 8x)<span>

</span>Expand the second bracket by multiplying throughout by -1
5x⁴ - 3x³ + 6x - <span>3x³ - 11x² + 8x
</span>
Group like terms and simplify 
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3 years ago
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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

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3 years ago
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Ghella [55]

Answer:

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<em>Angle AOB and Angle BOC is equal to Angle AOC.</em>

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AOC = 2(5)+11

AOC = 21

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