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liq [111]
3 years ago
10

What is 4(x2 – 3x) + 12x2 + x simplified? F 4x2–3x H 16x2–11x G13x2–2x I16x2–12x

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

H 16x2–11x

Step-by-step explanation:

4(x2 – 3x) + 12x2 + x

4x^2-12x + 12x^2+x=

16x^2-11x

H 16x2–11x

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the ratio of strawberry to banana batter is 2:3 we need 30 cups of batter total what percent of the cake is banana
motikmotik

60 percent.  I hope this was help for you

7 0
3 years ago
1/2 divided by 3/4 = 1/a times b/c = d/e
Vinvika [58]

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6

a = 2

b = 4

c = 3

d = 4

e = 6

6 0
3 years ago
The Rocky Mountain News (January 24, 1994) indicated that the 20-year mean snowfall in the Denver/Boulder region is 28.76 inches
ycow [4]

Answer:

The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.

Step-by-step explanation:

20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.

At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So

H_0: \mu = 28.76

At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So

H_1: \mu > 28.76

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

28.76 is tested at the null hypothesis:

This means that \mu = 28.76

Standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.

This means that \sigma = 7.5, X = 33, n = 32.

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}

z = 3.2

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level \alpha = 0.05.

Looking at the z-table, z = 3.2 has a p-value of 0.9993.

1 - 0.9993 = 0.0007

The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.

5 0
2 years ago
Karen has a square rug that covers 76.5^{2} of her living room floor. Which measurement is closest to the side length of thes ru
zloy xaker [14]

Answer:

76.5

Step-by-step explanation:

if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5

3 0
3 years ago
What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?
melamori03 [73]

Answer:

2 units

Step-by-step explanation:

none

8 0
3 years ago
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