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3 years ago

PICKING BRAINIEST use the diagram to complete the statements (:

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

The measure of angle L
∠M + ∠L + ∠N = 180°
20° + ∠L + 90° = 180°
∠L = 180° - 20° - 90°
∠L = 70°

The trigonometric ratio for NM
tan M = LN/NM
tan 20° = 21/NM
NM = 21/tan 20°

Find the length of NM
NM = 21/tan 20°
NM = 21/0.36397
NM = 57.697
NM = 57.7

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In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:

Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. 

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

5 0

2 years ago

Multiply. −2(−5)(−3)

Dominik [7]

The multiplication of −2(−5)(−3) is -30

The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.

From the given question, we are to multiply:

= - 2 × (-5) × (-3)

= +10 × (-3)

= -30

Learn more about the multiplication of numbers here:

brainly.com/question/1755985

4 0

2 years ago

Read 2 more answers

Can someone pls help me . Thank you .

Pavel [41]

Answer:
1). 24
2). 8

Explanation:
1).

285$ - 45$ = 240$
240$/10 = 24$

Therefore, he pays 24$ a month.

2).
Let x be the number than triple:

3x - 5 = 19
3x = 19 + 5
3x = 24
x = 24/3
x = 8

5 0

3 years ago

What is the volume of the oblique cube

serious [3.7K]

Answer:

$\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}$