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3 years ago

A school counselor heard that teenagers sleep an average of 9 hours per night on the weekend. The counselor

Mathematics

1 answer:

Katen [24]3 years ago

7 0

Answer:

H0:μ=9 hours Ha:μ not equal to 9 hours

Step-by-step explanation:

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Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v

nadezda [96]

Answer:

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

4 0

3 years ago

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Harry purchased 16 hinges for his kitchen project. They were each on sale for $3 off the regular price.

Zielflug [23.3K]

THE ANSWER IS 8 DOLLARS BCUZ 80/16 EQUALS 5, AND 5+3 EQUALS 8!!!!

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3 years ago

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Without further study, you forget things as time passes. A model of human memory gives the percentage, p, of acquired knowledge

PIT_PIT [208]

Answer:

42.69% of information is acquired by the student in two weeks.

Step-by-step explanation:

We are given the following in the question:

$p = (100 -a)e^{-bt} + a$

where a and b are constants.

$a = 18\\b = 0.6$

p tells us about the percentage of acquired knowledge that a person retains after t weeks.

We have to find the percentage of knowledge acquired in two week.

We put t = 2

$p = (100 -18)e^{-(0.6)(2)} + 18\\p = 42.69$

Thus, 42.69% of information is acquired by the student in two weeks.

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3 years ago

Q/7 + 1 > -5<br><br><br> Please help

Marrrta [24]

$\frac{q}{7} + 1 > - 5➡q > - 42$

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2 years ago

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If the two legs of an isosceles right triangle measure 7 in which of the following represents the length of its hypotenuse

anyanavicka [17]

Answer:

Hypotenuse would be 14

Step-by-step explanation:

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3 years ago

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