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aliina [53]
3 years ago
15

Using the right triangle below, find the cosine of angle A.

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

it would be the Adjacent side (8) over the Hypotenuse, or the longest side which is 10. an easy way to remember this is CAH or Cosine=Adjacent/Hypotenuse

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The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

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

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

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".

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 we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

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

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
3 years ago
What is the answer plz need help
slamgirl [31]

Answer:

Fraction Form: (-1/2)

Decimal Form: (-0.5)

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Anna007 [38]

Answer:

Segment EF is twice as long as segment AB.

The length of segment EH is 16 units.

Step-by-step explanation:

its

8 0
3 years ago
Can someone please help me?
docker41 [41]
THe answer is A.... 42.4 times 10.5 is 445.20
4 0
3 years ago
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Next odd number after 7006
Igoryamba
the\ odd\ numbers\ are\ those\ numbers\ that\ are\ not\ are\ divided\ by\ 2\\\\hte\ next\ odd\ number\ after\ 7006\ is\ 7006+1=7007
4 0
3 years ago
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