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2 years ago

13

In a survey at a local university, 61% of students say that they get less than the recommended eight hours of sleep per night. I

n a group of 2700 students, how many would you expect get eight
students get eight or more hours of sleep per night.

1 answer:

wolverine [178]2 years ago

7 0

Oggga bookgaaa shshsggazbzghshs

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Solve using quadratic formula pls show work

Temka [501]

Answer:

$x=\frac{3}{8},\:x=0$

Step-by-step explanation:

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}$

$\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}$

$=\sqrt{3^2-4\cdot \:8\cdot \:0}$

$\sqrt{3^2}$

3

$x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}$

Separate the solutions:

$x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}$

$x=\frac{3}{8},\:x=0$

4 0

2 years ago

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors

statuscvo [17]

Answer:

13

Step-by-step explanation:

Two factors of -48... that means two numbers which multiplied together give a result of -48, like -6 and 8 for example.

The difference of those two factors is -19. There not that many possible factors for -48, so if we list them we'll be able to spot a pair with a difference of 19.

A first list of factors for -48 is: -1 and 48, -2 and 24, -3 and 16, -4 and 12, -6 and 8.

We can create another list by inverting the signs: 1 and -48, 2 and -24, 3 and -16, 4 and -12, 6 and -8.

The question says the difference of the two factors is 19... can you spot in each list a pair of factors having a difference of 19? I see -3 and 16 and also 3 and -16.

The question also say the one of the greatest absolute value is positive... so that means it's a pair with +16, not -16.

The pair of factors we're looking for is then -3 and 16. They are factors of -18, they have a difference of 19, and the one with the greatest absolute value is positive.

The sum of -3 and 16 is 13.

7 0

3 years ago

HEELLLP LIKE RIGHT NOW! PLSSS

swat32

Do you have to multiply?

3 0

2 years ago

What is the value of x?

allsm [11]

First need to find the length of line LJ

Line LJ = 8sqrt2 * sin(30) = 5.6569

now use that to find x

x = 5.6569 * sin(45) = 4

6 0

3 years ago

Y intercept of y=2x-3

3241004551 [841]

Since the equation is in y = mx+b form you can easily determine the y intercept based on the b value present.

Y = mx + b
Y = 2x - 3
B = y intercept = (0,-3).

7 0

2 years ago