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2 years ago

22. Draw Conclusions lf two angles are complementary, each angle is called

Mathematics

2 answers:

stiks02 [169]2 years ago

7 0

A. A complementary angle is an angle that, with another angle, adds up to 360°. If m∡A = 77°, its complementary angle must be 283° because 360-77=283.

b. If two different angles are complementary to the same angle, they must have the same measure, because only one number can add with the one number to get the same answer.

Hope this helps!

Dennis_Churaev [7]2 years ago

5 0

It's the second a because iot has to be explain in one complete sentence.

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Suppose you have a pocketful of change. You have some pennies (p) and some quarters (q). One expression could be used to describ

faltersainse [42]

Answer:

1.57

Step-by-step explanation:

So we have two equations regarding the number of quarters q and the number of pennies p:

$p+q$

Which represents the total amount of coins and

$0.01p+0.25q$

Which represents the total amount of money in dollars.

So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for q and 7 in for p:

$p+q\\(7)+(6)=13$

This tells us that we have 16 coins in total.

$0.01(7)+0.25(6)\\=0.07+1.50\\=1.57$

This tells us that we have a total amount of $1.57.

5 0

3 years ago

Read 2 more answers

Multiply fractions is really hard for me because I hate fractions

earnstyle [38]

It’s not that hard all u need to do is when u multiply it just multiply it. For example what’s 2/3x4/3=8/3 and that is just 8/3 but when the denominator is different u just multiply it it’s not that hard

4 0

3 years ago

Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak

crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

$\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353$

We can calculate the z values for x1=0.47 and x2=0.51:

$z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28$

We can now calculate the probabilities:

$P(0.47$

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

$\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05$

We can calculate the z values for x1=0.47 and x2=0.51:

$z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2$

We can now calculate the probabilities:

$P(0.47$

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0

2 years ago

What is the answer please?

docker41 [41]

Answer: D (bottom option)

Not Congruent

Step-by-step explanation:

Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.

3 0

1 year ago

You have to work on Distributive property 14(5+4)

lukranit [14]

126

explanation: solved it

3 0

3 years ago