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3 years ago

Which expression is equivalent to 24 + 30 A) 6(4+5) B 6(4+6) C 8(3+4) D 8(3+12)

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

3 0

A=54. And 24+30=54. So the answer is A

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What is the unit rate of 5/8 square foot in 1/4 hour

cluponka [151]

1. 5/8 square foot in ¼ hour. Find the unit rate.
Since the given numbers are fraction, let’s convert these into decimals to be able to get the correct unit rate.
=> 5/8 = 0.625 or 0.63 square foot.
=> ¼ = 0.25 hour or 15 minutes.
=> 0.625
now, let’s show the unit rate of 5/8 square foot in ¼ hour.
=> 0.63 square feet / 15 minutes
Divide the square feet value by 15
=> 0.042 square feet / minute

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4 years ago

Read 2 more answers

Solve for x.

Ilia_Sergeevich [38]

x = {-4, 4}

Divide each side by '5'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}

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4 years ago

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Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct

vladimir1956 [14]

Answer: A) 6x = 54; x = 9 times older

Step-by-step explanation:

9 x 6 = 54

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3 years ago

3y^2/9y^4 state restrictions and simplify

Elis [28]

Step 1. Take out the constants

3/9 y^2y^4

Step 2. Simplify 3/9 to 1/3

1/3 y^2y^4

Step 3. Simplify

y^2y^4/3

Step 4. Use the Product Rule

y^2 + 4/3

Step 5. Simplify 2 + 4 to 6

y^6/3

5 0

4 years ago

Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p

alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

$P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093$

As a consecuence, he wont foul out with probability 0.9093.

8 0

4 years ago