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OverLord2011 [107]
3 years ago
6

A shelf takes 3 1 /2 ft. of lumber. How many shelves can be made from 24 1 /2

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
5 0

Answer:

The answer is 7.

Step-by-step explanation:

3 1/2= 3.5

24 1/2= 24.5

Now you divide them.

24.5/3.5= 7

levacccp [35]3 years ago
3 0
Answer is 7

hope it helps

24 1/2 = 24.5
3 1/2 = 3.5

24.5/3.5 = 7
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The answer is 3!

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3 years ago
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5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.
Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \mu = 1511, \sigma = 312

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

1.645 = \frac{X - 1511}{312}

X - 1511 = 1.645*312

X = 2024

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

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

1.645 = \frac{X - 21.1}{5.1}

X - 21.1 = 1.645*5.1

X = 29.49

The equivalent ACT score is 29.49.

5 0
2 years ago
Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?
Hoochie [10]

Answer:

parallelogram

Step-by-step explanation:

slope of DE = (4-7) / (-4 - 2) = 1/2

slope of FT = (-3 - -6) / (11-5) = 1/2

DE // FT

slope of EF = (-6 - 4) / (5 - -4) = - 10/9

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EF // DT

7 0
2 years ago
I need help with this please
Ierofanga [76]
C is the correct answer


we should find the area of the square and then divide it by 24.
(360/15=24)


6 \times 6 \times \pi \times  \frac{1}{24}  = 36 \times \pi \times  \frac{1}{24}   \\  = 113.04 \times  \frac{1}{24}  = 4.71



good luck
8 0
3 years ago
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Solving for Y. Write the slope-intercept form of the equation of each line. Show work!
Alborosie

Answer:

y = x-4

Step-by-step explanation:

you can put it in a calculator to be sure

3 0
3 years ago
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