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Nitella [24]
2 years ago
14

Help 15 points!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

∠ A = tan^{-1} (\frac{7}{8} ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

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nlexa [21]
Whats The Question ????
3 0
3 years ago
Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm
Vlad1618 [11]

Answer:

Confidence =1-\alpha=1-0.01=0.99

And then the confidence level would be given by 99%

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma)

The distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\bar x =512 represent the sample mean

\sigma=100 represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}   (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}

And we can find the critical value z_{\alpha/2} like this:

z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576

And we know that on the right tail of the z score =2.576 we have \alpha/2 of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998=\alpha/2, so then \alpha=0.00498*2=0.009995 \approx 0.01, and then we can find the confidence like this:

Confidence =1-\alpha=1-0.01=0.99

And then the confidence level would be given by 99%

8 0
3 years ago
Is 2 greater or less than or equal to -5?
Marina CMI [18]
2 is greater then -5.


2 is a positive number unlike -5 it is a negative which is less then 2.
5 0
2 years ago
Read 2 more answers
Express 0.032 as a fraction in lowest terms
SIZIF [17.4K]

Answer:

4/125

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If C is between A and B, then answer the following if AB=40, AC= 2x+10, CB= 3x-5
Marat540 [252]

If C is between A and B, then, we can write the equation

AB = AC + CB


Substitute the value of AB and the expressions for AC and CB in terms of x.


40 = (2x+10)+(3x-5)


We can now solve for x.



40-10+5= 2x+3x



35=5x


Dividing by 5.


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AC=2(7)+10



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AC=24




BC=3(7)-5



BC=21-5


BC=16



6 0
3 years ago
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