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Jet001 [13]
3 years ago
7

In the term -3k?mn, state the coefficient of a) k²mnb) -mnc) 3k²Help me please ​

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

a) -3

b) 3k²

c) -mn

hope this helps

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School a has 450 seniors, and 432 of them go to college. School B has 380 seniors, and 361 of them plan to go to college. In whi
Natasha_Volkova [10]

Answer:

School A.

Step-by-step explanation:

School A:  % who plan to go to college = (432/450) * 100

= 96%.

School B:  % who plan to go to college = (361/380) * 100

= 95%.

5 0
3 years ago
Calculate the angle of depression, x, if the boat is 750 ft. away from the light house and the light house is 300 ft high. Round
I am Lyosha [343]

Firstly , we need to draw diagram

we are given

opposite =300

adjacent =750

now, we can use tan formula

tan(x)=\frac{300}{750}

now, we can find x

x=tan^{-1}(\frac{300}{750})

we get

x=21.8  degree

so,

angle of depression is 21.8 degree.....Answer

8 0
3 years ago
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa
Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that \mu = 8.7, \sigma = 20.2

40 years:

This means that n = 40, s = \frac{20.2}{\sqrt{40}}

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = 1.35

Z = 1.35 has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

Z = \frac{X - \mu}{s}

Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = -0.22

Z = -0.22 has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

8 0
3 years ago
You roll a fair number cube and flip a coin at the same time. What is the probability that you roll a 5 and flip a heads?
Vikentia [17]

Answer:

probably of a head= 1/2

probably of a multiple of 3 (either 3 or 6)= 2ways*1/6 as 1/6 is the prob of any one side

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Why are the units of area squared? How does this help us remember the formula for area of a circle?
svp [43]

Answer:

Area is a size measurement of a two-dimensional surface. Those dimensions (x and y) are perpendicular to each other, and thats why it is squared.

8 0
3 years ago
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