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2 years ago

Find the inverse of the function y = (x - 4)3

Mathematics

1 answer:

nirvana33 [79]2 years ago

4 0

Step-by-step explanation:

$y = (x - 4)3$

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp

Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

$P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)$

$P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})$

$P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})$

From Z tables:

$P(31000 < X$

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0

2 years ago

EASE HELP The sum of two numbers is 23. One number is four less than twice the other. Find the numbers.

Dominik [7]

Answer:

Solve:

(x=44, y=21} I think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete

icang [17]

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine will be (x -4 +3) = x-1 years old

Also, In 3 years time

Christine = 2/3 Mark

such that

x-1 = 2/3(x+3)

x -1= 2x+6 / 3

3x -3= 2x+6

3X--2X = 6+3

=X=9

Mark Is 9 years old

Christine is x -4 = 9-4=5 years old

5 0

2 years ago

The scale drawing of a rectangular oty park measures 10.0 cm by 50 cm

satela [25.4K]

The answer is 2... I think idrk 2 second ago was I thinking abt Damon Salvatore bunt GOOD LUCK!!!

6 0

2 years ago

How many positive integers less than 500 are equal to 5 times an even integer?

arlik [135]

Answer:

490/10=49

Every 10 numbers is one number. I divided by 490 because it says less then 500

Step-by-step explanation:

4 0

2 years ago