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ollegr [7]
3 years ago
7

Solve for side AB, must show work

Mathematics
2 answers:
kozerog [31]3 years ago
7 0
We can solve for side AB using the trigonometric ratio cos, where cosA=adjacent/hypotenuse.

cos25= \frac{7}{x} = x= \frac{7}{cos25} = 7.7

:)
shutvik [7]3 years ago
6 0
Cos = adj/hyp
hyp = AB
cos(25) = 7/AB
AB = 7.7
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For every $5 that Micah saves, his parents give him $10.
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Answer:

The answer for the question "What is the constant of proportionality?" is 2.

The answer for the question "If Micah saves $150, How much money will his parents give him?" is $300.

Step-by-step explanation:

a. If for every $5, Micah will receive $10 more that means that he will receive the double of his initial saving. So, a number that multiplied by 5 is equal to 10 is 2. Therefore, the proportionality equation will be Y=2X, where Y is 10 and X is 5. In cunclusion, 2 is the constant of proportionality.

b. Having in mind that the equation is Y=2X, and that X is equal to Micah's savings, we need to replace that X with 150. Then, 150 is multiplied by 2 and the result is Y, in this case 300. So, Micah's parents will give him $300 if he saves $150.

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3 years ago
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When np and n(1-p) is greater than 5, then the sampling distribution is approximately normal and we can use standard normal methods.

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P(X\ \textless \ x)=P\left(z\ \textless \  \frac{\hat{p}_1-\hat{p}_2}{\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}} \right)</span>
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Step-by-step explanation:

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