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Novosadov [1.4K]
3 years ago
15

What is the missing constant term in the perfect square that starts with x2 – 12x ?

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

x^2 -12x+36

Step-by-step explanation:

x^2 – 12x

Take the coefficient of x

-12

Divide by 2

-12/2 = 6

Square it

6^2 = 36

We need to add 36 to make x^2 -12x a perfect square trinomial

x^2 -12x+36

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3 years ago
What is the volume of this prism?
Mandarinka [93]

Answer:

144 cm^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is <em>l x w x h. </em>

Here, the length is 4, the width is 4, and the height is 4.

4 x 4 x 9 =

16 x 9 =

144 cm^3

8 0
3 years ago
F(x) = x2. What is g(x)?
wolverine [178]

Answer:

A

Step-by-step explanation:

when x=2,g(x)=2

g(x)=(2)²/2=2

which is correct.

8 0
2 years ago
the third side of an isosceles triangle is 8 inches shorter than the other two sides the perimeter of the triangle is 70 inches
dezoksy [38]
Isosceles triangle has 2 sides that are the same length. So what you have is three sides that measure: x, x, and (x-8). 70 = x + x + (x-8).
70 = x + x + x - 8
78 = 3x
x = 26.
and 26 - 8 = 18.
So two of your sides are 26 inches and the last side is 18 inches. 
8 0
3 years ago
Read 2 more answers
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is
insens350 [35]

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

H_{0}: p \geq 0.16

Testing this hypothesis, means that the alternate hypothesis is:

H_{a}: p > 0.16

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.

0.16 is tested at the null hypothesis:

This means that \mu = 0.16, \sigma = \sqrt{0.16*0.84}

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that n = 200, X = \frac{24}{200} = 0.12

Value of the test statistic:

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

z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}

z = -1.54

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

6 0
3 years ago
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