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kari74 [83]
4 years ago
11

What is the lateral surface area of a cube with side length of 9 cm

Mathematics
1 answer:
Wittaler [7]4 years ago
3 0
S^2 = one face of a cube
S^2 × 6 = entire Surface Area (SA) of cube
One face = 9^2 = 81 cm^2
SA = 81 × 6 = 486 cm^2
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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros of -2, 3, and 6.
vovikov84 [41]
F(x)=(x+2)(x-3)(x-6)
8 0
3 years ago
An SAT coaching company claims it's course can raise SAT scores of high school students (thus, when they take it a second time a
Maru [420]

Answer:

Check the explanation

Step-by-step explanation:

(a) The appropriate test is the matched-pairs test because a student’s score on Try 1 is certainly correlated with his/her score on Try 2. Using the differences, we have xbar =  29 and s = 59.

(b) To test H0: mu=0 vs.  H1 mu > 0, we compute

t = (29-0)/((59/sqrt(427))=10.16

with df = 426. This is certainly significant, with P < 0.0005. Coached students do improve their scores on average

(a) H0: μ1 = μ2 vs. Ha: μ1 > μ2, where μ1 is the mean gain among all coached students and μ2 is the mean gain among uncoached students. H0 and Ha. Using the conservative approach, df = 426 is rounded down to df = 100 in  (t table) and we obtain 0.0025 < P < 0.005. Using software, df = 534.45 and P = 0.004. There is evidence that coached students had a greater average increase.

(b) 8 ± t*(3.0235) where t* equals 2.626 (using df = 100 with (t table) ) or 2.585 (df = 534.45 with software). This gives either 0.06 to 15.94 points, or 0.184 to 15.816 points, respectively.

(c) Increasing one’s score by 0 to 16 points is not likely to make a difference in being granted admission or scholarships from any colleges.

6 0
3 years ago
Which expression represents a number that is one fourth as great. as 10-2?
marshall27 [118]

Answer:

(10-2)÷4.

Step-by-step explanation:

We are to select the correct expression that represents a number that is one fourth as great as 10-2.

Let the required number be represented by x.

4 0
3 years ago
Solve the system by substitution.<br> 8x +y = 4<br> -23 – 8= y
JulijaS [17]

Answer:

<u>(2,-12)</u>

Step-by-step explanation:

Correct equations:

  8x+y=4

 -2x-8=y

------------------

Rearrange the first equation:

8x+y=4

y=4-8x

Now use this value of y in the second equation:

-2x-8=y

-2x-8=4-8x

6x = 12

x = 2

When x = 2:

y=4-8x

y=4-8(2)

y = -12

<u>(2,-12)</u>

<u>--</u>

<u></u>

One can also graph the two equations and find the point they intersect.  See the attached graph.

<u></u>

6 0
2 years ago
SSA (side-side-angle) guarantees congruence between two triangles.<br> OA. True<br> B. False
TiliK225 [7]

Answer: False

Step-by-step explanation:

There are only 5 ways to prove triangles congruent, which you can see in the attached image.

5 0
2 years ago
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