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nekit [7.7K]
3 years ago
15

F(x) has domain (-4,-2, 0, 2, 4) and range

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

1/2

Step-by-step explanation:

I just did the problem on edgenuity.

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A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the
Misha Larkins [42]

Answer:

Step-by-step explanation:

This is good!  The length of the metal is 20 inches longer than the width.  But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side).  Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width.  So the equations would be:

l = w + 20

vol = l x w x h = 1716 in3

1716 = (w + 20)(w)(4)

1716 = 4w2 + 80w

4w2 + 80w - 1716 = 0

4(w2 + 20w - 429) = 0

4(w + 33)(w - 13) = 0

w + 33 = 0, so w = -33

w - 13 = 0, so w = 13

Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).

But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.

7 0
3 years ago
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
lorasvet [3.4K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 2.35

x2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.82

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.075

Alpha = 5% = 0.05

Since alpha, 0.05 < than the p value, 0.075, then we would fail to reject the null hypothesis.

4 0
3 years ago
1. When John received his W2, he received several copies. Why was he sent multiple copies of this form?
Firlakuza [10]
<span>1. W2 is a form every empoyer send to his employees that reports the annual wagges of the employees and the amount of taxes. This W2 form is sent at the end of the year. The employees get at least two copies of this form. One copy is for the employee and the other is for IRS (Internal revenue Service) to report the wages. 2. John's employeer sent John the W-2 form. Every employer is obligated to deliver W2 form to all of his employees. John can get copy of the W-2 form for IRS (Internal Revenue Service). This is done for a fee. 3/ In order to know how much John did in wages in the 2014 we must have knowledge of John's salaty. Without this information we can not clculate the wages. </span>
7 0
3 years ago
Read 2 more answers
A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from a bag. What is the theo
alexandr1967 [171]

Answer:

⅓

Step-by-step explanation:

8+7+6

total= 21

blue= 7÷21

1/3

7 0
3 years ago
Read 2 more answers
Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.
ziro4ka [17]
Hello :
the line has same slope : y=3x       3 is the slope
<span> the point-slope form is : 
y-(-12) = 3(x-2)
y+12 = 3(x-2)</span>
8 0
3 years ago
Read 2 more answers
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