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Tju [1.3M]
2 years ago
6

Angles M and N are complementary. The measure of M is 27°. What is mN?

Mathematics
2 answers:
Vlad [161]2 years ago
5 0

Answer:

B.90

Step-by-step explanation:

The sum of the measures for complementary angles adds up to 90°

finlep [7]2 years ago
4 0

Answer:

A. 63 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. You can make an equation to solve for angle N:

27 + x = 90

rearrange the equation:

90 - 27 = x

63 = x

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There are 50 read beans and 50 white beans in a bag . The first bean selected is red . The red bean is returned to the bag . Wha
andrew11 [14]

Answer:

50% as there is 100 beans all together

4 0
2 years ago
What acronym is used for sine , cosine and tangent
sergejj [24]

Answer:

SOHCAHTOA.

Step-by-step explanation:

acronym is an abbreviation formed from the initial letters of other words and pronounced as a word

The acronym for sin cosine and tangent is

SOHCAHTOA

Sine =Opposite over Hypotenuse

Cosine= Adjacent over Hypotenuse

Tangent= Opposite over Adjacent

8 0
3 years ago
What is the length of the segment joining the points at (-6, 8) and (6, 3)?
melisa1 [442]

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

5^2 + 12^2 = 169

\sqrt{169} = 13 units

7 0
2 years ago
An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

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".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
Which rational number equals 0 point 2 with bar over 2? 1 over 10 1 over 9 2 over 10 2 over 9
Alja [10]

Answer:

0.\bar2=\frac{2}{9}

Step-by-step explanation:

We want to find the rational number which is equal to 0.\bar2.

Let y=0.\bar2....eqn(1)

Multiply both sides by 10

10y=2.\bar2.....eqn (2)

Subtract eqn (1) from eqn (2)

10y-y=2.\bar2-0.\bar2

\implies 9y=2

Divide both sides by 9.

\implies y=\frac{2}{9}

4 0
3 years ago
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