MATHEMATICS COLLEGE

Will give brainliest!!! What is m

Answers

Answer 1

Answer:

Answer:

29°

Step-by-step explanation:

Since this a right triangle and the sum of interior angles in a triangle is 180° We can say

2x + 1 + 5x + 5 = 90°

7x + 6 = 90°

7x = 84°

x = 14 and m<A = 2x + 1 we replace x with the value we found m<A = 14 × 2 + 1 = 29°

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The sizes of houses in Kenton County are normally distributed with a mean of 1346square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.

Answers

Answer:

(a) The probability that the house size is over 1371 square feet is 0.4483.

(b) The probability that the house size is under 1296 square feet is 0.3974.

(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.

Step-by-step explanation:

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.

Let X = the sizes of houses in Kenton County

The z-score probability distribution for the normal distribution is given by;

Z = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean size of houses = 1346 square feet

$\sigma$ = standard deviation = 191 square feet

(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)

P(X > 1371) = P( $(X-\mu)/(\sigma)$ > $(1371-1346)/(191)$ ) = P(Z > 0.13) = 1 - P(Z $\leq$ 0.13)

= 1 - 0.5517 = 0.4483

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)

P(X < 1296) = P( $(X-\mu)/(\sigma)$ < $(1296-1346)/(191)$ ) = P(Z < -0.26) = 1 - P(Z $\leq$ 0.26)

= 1 - 0.6026 = 0.3974

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)

P(773 < X < 1637) = P(X < 1637) - P(X $\leq$ 773)

P(X < 1637) = P( $(X-\mu)/(\sigma)$ < $(1637-1346)/(191)$ ) = P(Z < 1.52) = 0.9357

P(X $\leq$ 773) = P( $(X-\mu)/(\sigma)$ $\leq$ $(773-1346)/(191)$ ) = P(Z $\leq$ -3) = 1 - P(Z $\leq$ 3)

= 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What raw score corresponds to the 70th percentile?

Answers

Answer:

82.62

Step-by-step explanation:

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

$z=(X-\mu)/(\sigma)$

For z = 0.525:

$0.525=(X-80)/(5)\n X=82.62$

A raw score of approximately 82.62 corresponds to the 70th percentile.

Answer: the raw score that corresponds to the 70th percentile is 82.625

Step-by-step explanation:

Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = aptitude test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 80

σ = 5

We want to find the raw score that corresponds to the 70th percentile.

70th percentile = 70/100 = 0.7

Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.

Therefore,

0.525 = (x - 80)/5

5 × 0.525 = x - 80

2.625 = x - 80

x = 2.625 + 80

x = 82.625

Is this one correct?

Answers

Answer:

do you expect me to flip sideways just to help you cheat on ur homework

Step-by-step explanation:

It’s f .................

The conclusion for a test statistic is either to reject the null hypothesis" or to "not reject the null hypothesis". A good statistician NEVER "accepts the alternate hypothesis". Explain the reason you either "reject the null hypothesis" or "do not reject the null hypothesis". Explanation should be at least 5-7 sentences."

Answers

Answer:

Step-by-step explanation:

Hello!

The null hypothesis is the commonly accepted fact, if you were to make an experiment, you'll state in the null hypothesis what is already known of your population, another way to see it is that the null hypothesis has the "no change" statement. When doing a statistic test you seek to nullify the null hypothesis to replace it with the alternative hypothesis, i.e., the objective of any hypothesis test is to invalidate this hypothesis not to prove the alternative hypothesis right.

In short words, you work to annulate what is accepted knowledge and not to prove what you think happens.

I hope it helps!

If x is not equal to zero, what is the value of 4(3x)^2/(2x)^2