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MissTica
3 years ago
6

Which expression shows this number in expanded form 0.624

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
(6 x 1/10) + (2 x 1/100) + (4 x 1/1000)
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Suppose ACT Composite scores are normally distributed with a mean of 20.6 and a standard deviation of 5.2. A university plans to
zimovet [89]

Answer:

The minimum score required for admission is 21.9.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.6, \sigma = 5.2

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?

Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So

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

0.255 = \frac{X - 20.6}{5.2}

X - 20.6 = 0.255*5.2

X = 21.9

The minimum score required for admission is 21.9.

8 0
3 years ago
1/2+2/3 divided by 1/6
pentagon [3]

Answer:

4 1/2

Step-by-step explanation:

Just do the math work it out on paper and check it!

3 0
2 years ago
Read 2 more answers
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
Whitepunk [10]

Answer:

A=81\pi $ m^2

Step-by-step explanation:

Circumference of the column =18\pi $ meters

Circumference of a circle=2\pi r

Therefore:

2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters

Area of a Circle =\pi r^2

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

=\pi *9^2\\=81\pi $ m^2

5 0
3 years ago
Suppose you can ride a bike with 22” wheels (in diameter) so that the wheels rotate 159 revolutions per minute
maksim [4K]

Answer:

ffffffffffffffffffffffffffffffffffdd

Step-by-step explanation:

ddfefe

5 0
3 years ago
If a+11=20 what does a equal
luda_lava [24]

Answer:

a = 9

Step-by-step explanation:

a+11=20

Subtract 11 from each side

a+11-11 = 20-11

a = 9

3 0
3 years ago
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