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marusya05 [52]
4 years ago
14

Which of the following is h(x) = f(g(x))?

Mathematics
1 answer:
expeople1 [14]4 years ago
4 0

Answer:

The very top one and the very bottom one.

Step-by-step explanation:

Since f(g(x)) means x goes into g and g goes into f..

If we plug in x+2 to the equation at the top, we would get 3/(x+2)^2

The bottom: (x+2)^2 gets plugged into x.. therefore, 3/(x+2)^2 will also occur.

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A fire department in a rural county reports that its response time to fires is approximately normally distributed with a mean of
Lilit [14]

<u>Answer-</u>

<em>In </em><em>25.15%</em><em> cases their response times is over 30 minutes.</em>

<u>Solution-</u>

Hint- Calculating the z-score (how much standard deviations away from the mean) and then getting the corresponding probability value from normal distribution table we can get solution.

Applying the formula for Z-score,

Z=\frac{X-\mu}{\sigma}

Here,

X = score = 30,

μ = mean = 22,

σ = standard deviation = 11.9

Putting the values,

\Rightarrow Z=\frac{30-22}{11.9}=0.67

\therefore P(x>30)=1-P(Z\leq 0.67)=1-0.7485=0.2515=25.15\%

(Subtracted from 1 as the values of area to the left of the Z score is given in table, but we need the area right to Z score as response times more than 30 minutes is asked)

4 0
3 years ago
A number cube has side lengths of 114 inches. What is the volume, in cubic inches, of the number cube?
gregori [183]

Answer:

V≈1.48×106in³

a Edge

114

in

Step-by-step explanation:

thank me later

8 0
3 years ago
Someone pls help I will mark brainliest
vekshin1
C is the answer!! I hope this helps!!!
4 0
3 years ago
HELP! USE EITHER LAW OF SINE OR LAW OF COSINE! HELP PLEASE! FIND THE MISSING SIDE AND MISSING ANGLES!​
Eva8 [605]

Answer:

∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036

Step-by-step explanation:

Law of sines:

13/sin Q = 19/sin 85°

=> sin Q = 13 × sin 85°/19

=> Q = sin^-1 (13 × sin 85°/19)

=> Q ≈ 42.969

∠P=> 180 - 85 - 42.969 ≈ 52.03

QR/sin 52.03° = 19/sin 85°

=> QR = sin 52.03° × 19/sin 85°

=> QR ≈ 15.036

5 0
3 years ago
Read 2 more answers
3/4 yard long and 1/2 yard tall what is the area of the poster frame
zmey [24]
The area is 3/8 yd².

Area = length x width

Given:
length = 3/4 yard
width = 1/2 yard

Area = 3/4 yd * 1/2 yd
Area = 3*1/4*2
Area = 3/8 yd²

In multiplying fractions, multiply the numerators, then, multiply the denominators. lastly, simplify the fraction. 3/8 yd² is already in its simplest form.
3 0
3 years ago
Read 2 more answers
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