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Lunna [17]
3 years ago
9

True or False: (EXPLAIN your answer) If angle CEF is complementary to angle DCF,

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

True

Step-by-step explanation:

Givens:

From if part: m<CEF+m<DCF=90

From picture: m<CEF+m<FEG=90

Subtracting the equations we get:

m<DCF-m<FEG=0

Adding m<FEG on both sides:

m<DCF=m<FEG

So true.

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A display case of hat pins are marked 5 for $3. If Patty has $21, how many hat pins can Patty get? (assume no other taxes and fe
Nonamiya [84]
Answer: 35

Explanation: If patty has $21, and $3 is the price for 5 hat pins, then: 21/3=7, so she can buy 7 packages which cost $3 and contain 5 pins, and because the question asked the number of pins, we will multiply 7 • 5 and that equals 35
4 0
2 years ago
There is a 172 cm border triangle. One side is 54 cm long. The length of the other two sides must be in a ratio of 5:8. What are
Licemer1 [7]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

4 0
2 years ago
. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an
Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution

Problems of normally distributed samples can be 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 = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12

What is the probability that the average score of a random sample of 20 students exceeds 59.5?

This is 1 subtracted by the pvalue of Z when X = 59.5. So

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

Z = \frac{59.5 - 56}{1.12}

Z = 3.1

Z = 3.1 has a pvalue of 0.9990.

So there is a 1-0.9990 = 0.001 = 0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

3 0
3 years ago
Help quickly!!
qaws [65]

Answer:

2 x

— = —

25 700

700(2)= 25(x)

1400/25=x

x=56

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Changing the order of addends on a problem with more than two atoms always changes the answer
Temka [501]
True..... I think......
6 0
2 years ago
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