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Leya [2.2K]
3 years ago
7

D.similar SSS similarity triangle TLM. Geometry math question no Guessing

Mathematics
2 answers:
Readme [11.4K]3 years ago
3 0
D. Similar SSS similarity triangle TLM
g100num [7]3 years ago
3 0

24/6 = 4

36/9 = 4

<UTV = <LTM

So triangle TUV is similar to triangle TLM by SAS

Answer is B.

Similar. SAS similarity; TLM

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A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8
Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

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.

Mean of 61 and a standard deviation of 8.

This means that \mu = 61, \sigma = 8

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

-0.675 = \frac{X - 61}{8}

X - 61 = -0.675*8

X = 55.6

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

2.96 = \frac{X - 61}{8}

X - 61 = 2.96*8

X = 84.68

The minimum score for an A is 84.68.

8 0
3 years ago
Use the quadratic formula to determine the exact solutions to the equation.
3241004551 [841]

Answer:

222- 50+1=0? 225 - 50 = 175 175+1 = 176 176+0 = 176

4 0
3 years ago
4. A video club costs $20 to join. Each video that is rented costs $2.25. Let v represent the number of videos.
shepuryov [24]

Answer:

B.

Step-by-step explanation:

$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.

$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.

So, we would have the equation:

f(v) = 2.25v + 20

f(v) is the total cost.

B is your answer because it is the only one with the correct equation.

Hope this helps!

8 0
2 years ago
Toni and Jade live on the same street as the Middle School. Toni lives 6.1
Nataly_w [17]

Answer:

Jade and Toni are 58.1 miles apart from each other.

Step-by-step explanation:

All you have to do is add the distances.

52 + 6.1 = 58.1

5 0
3 years ago
last year 80 students signed up for s summer trip to washington, D.C. This summer 50 students have signed up to go. What is the
andrew-mc [135]

Answer:

U can refer this.... but im not sure... hope it's help ya!

3 0
3 years ago
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