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Romashka-Z-Leto [24]
3 years ago
8

The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22. What is the score that is 3 sta

ndard deviations below the​ mean?
Mathematics
1 answer:
Alborosie3 years ago
7 0

Answer:

Step-by-step explanation:

If the mean is 110, and the standard devaition is 22,

1 standard dev. below the mean is 110-22

2  standard dev below the mean is 110-22-22

3 standard dev below the mean is 110-22-22-22

Hope that helps!

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Solve for x in the figure below
fredd [130]

Answer:

x = 35.4

Step-by-step explanation:

Sum of all interior angles in a triangle = 180°

Therefore:

(x + 2)° + (2x + 2)° + (2x - 1)° = 180°

x + 2 + 2x + 2 + 2x - 1 = 180

Collect like terms

x + 2x + 2x + 2 + 2 - 1 = 180

5x + 3 = 180

Subtract 3 from each side

5x + 3 - 3 = 180 - 3

5x = 177

Divide both sides by 5

5x/5 = 177/5

x = 35.4

3 0
2 years ago
A triangular prism has a volume of 2500 cubic feet. What is the length of the prism if its triangular bases are right triangles,
seraphim [82]

Answer:

25 ft

Step-by-step explanation:

V = AH, where A = area of the base, and H = height (length) of the prism

A = bh/2 for a triangle

V = bh/2 × H

2500 = (10)(20)/2 × H

2500 = 100H

H = 25

Answer: 25 ft

5 0
2 years ago
In which two of these numbers does the digit
monitta

Answer:

85.62

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

7 0
2 years ago
Read 2 more answers
Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

6 0
2 years ago
What is the best estimate for the volume of the pyramid?
laila [671]

<span>Volume of the pyramid = (1/3) * base area * height
Base area = 230</span>² = 52,900 m²
<span>Volume of the pyramid = (1/3) * 52,900 * 138 = 2,433,400 m</span>³
6 0
3 years ago
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