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Leto [7]
2 years ago
15

The dimensions of prism B are 3 times the dimensions of prism A. The volume of prism A is 384cm cubed.

Mathematics
1 answer:
Anton [14]2 years ago
5 0
The volume of prism B is 1,152
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In triangles ABC and LMN, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N. Is this information sufficient to prove triangles ABC and LMN congruent
ipn [44]

Answer:

No

Step-by-step explanation:

No. We have 3 angles of triangle ABC congruent to 3 corresponding angles of triangle LMN. That is AAA. To use ASA, you need two angles and an included side. With three angles, you can prove the triangles similar, but not congruent.

5 0
2 years ago
A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

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

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

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

Z = \frac{25 - 22}{4}

Z = 0.75

Due to the higher z-score, he did better on the SAT.

8 0
3 years ago
Can someone answer this question?
Ber [7]
I hope this helps you

5 0
3 years ago
Read 2 more answers
Gary has a field on his property that he wants to sod. His field is 20 yards long and 40 yards wide.
Brilliant_brown [7]

Answer:

a) 800 square yards

b) 7200 square feet

Step-by-step explanation:

a) 40*20= 800 square yards

b) Each yard is 3 feet.

(40*3)*(20*3)=120*60=7200 square feet

5 0
2 years ago
Quiz 5:1 midsegments
Oksana_A [137]

Answer:

Step-by-step explanation:

7 0
3 years ago
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