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jekas [21]
2 years ago
7

When Micaela runs the 400 meter dash, her finishing times are normally distributed with a mean of 81 seconds and a standard devi

ation of 1.5 seconds. What percentage of races will her finishing time be faster than 79.5 seconds, to the nearest tenth
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

Answer:

Step-by-step explanation:

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Solve for x -9<4x+3<27 enter your answer as one inequality in the box
ludmilkaskok [199]

If a< c< b then a<c and c<b

Separate the equation into 2 separate ones and solve them:

X-9 < 4x +3

Subtract 3 from both sides:

X-12 < 4x

Subtract x from both sides:

-12< 3x

Divide both sides by 3:

X > -4

4x+3 < 27

Subtract 3 from both sides

4x < 24

Divide both sides by 4

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Combine to get one inequality:

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6 0
3 years ago
Find the surface area of the triangular prism
melomori [17]

Answer:

608 ft²

Step-by-step explanation:

<u>1) Find the area of the bases</u>

A=\frac{1}{2} bh where b is the base length and h is the height

Plug in b and h

A=\frac{1}{2} (12)(8)\\A=48

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

<u>2) Find the area of the two sides facing up</u>

A=lw where l is the length and w is the width

Plug in l and w

A=10*16\\A=160

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

<u>3) Find the area of the bottom side</u>

A=lw where l is the length and w is the width

Plug in l and w

A=12*16\\A=192

Therefore, the area of this side is 192 ft².

<u>4) Add all the areas together</u>

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

5 0
3 years ago
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Answer:

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25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.

2. I expect the company to reject 11 of them because 25-36 = 11

Step-by-step explanation:

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3 years ago
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What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x
Nadya [2.5K]

Answer:

d

Step-by-step explanation:

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3 years ago
How to find solution to system of equations using substitution?
iris [78.8K]
Well u need to give me the equation and the substitutions for the variables then I can solve it
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