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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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Factor completely 4h2 + g.

stiv31 [10]

Answer:

8h + g

Step-by-step explanation

When you say "4h2", do you mean 4h multiplied by 2?

If so, then 4h2 = 8h, and 8h+g would be your answer.

Hope this helps :)

8 0

2 years ago

Read 2 more answers

If R = 25 cm and S = 7 cm, what is the length of T?

Levart [38]

Answer: 24cm

Step-by-step explanation:

R = 25 cm

S = 7 cm

T = ?

The square of equals to the addition of the square of S and the square of T.

R^2 = S^2 + T^2

25^2 = 7^2 + T^2

T^2 = 25^2 - 7^2

T^2 = 625 - 49

T =✓576

T = 24cm

8 0

3 years ago

Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g

Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

$a+b=30$

now, we can find 'a' and 'b' from triangle

Smaller triangle:

$a=\sqrt{x^2+11^2}$

Larger triangle:

$b=\sqrt{(16-x)^2+14^2}$

we know that

$a+b=30$

so, we can plug this value

and we get

$\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30$

now, we can solve for x

$\left(\sqrt{x^2+11^2}\right)^2=\left(30-\sqrt{\left(16-x\right)^2+14^2}\right)^2$

$32x-1231=-60\sqrt{x^2-32x+452}$

$1024x^2-78784x+1515361=3600x^2-115200x+1627200$

now, we can use quadratic formula

we get

$x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}$

$x=4.510,x=9.627$

so,

The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer

6 0

3 years ago

Use properties to find the sum or product 93 + (68+7)

-BARSIC- [3]

Use PEMDAS, Parenthesis and Exponents, then Multiplication and Division, then Addition and Subtraction, all from left to right in the line. So 68+7=75, and 93+75=168

6 0

3 years ago

Read 2 more answers

The equation of the line graph is y=__x+__

BigorU [14]

Answer:

Step-by-step explanation:

Formula is y= mx+b

b= slope intercept which is 3

m is the slope and it is 3/2 = 1.5

so...

y= __x+__

y= 1.5x+ 3

Hope this helped!

4 0

2 years ago