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3 years ago

What is the measure of AC?

Mathematics

1 answer:

Nadya [2.5K]3 years ago

4 0

Step-by-step explanation:

Since no other info is given, you would use a protractor, centered at O. Read off the degree measure, to the nearest degree (a high quality protractor may have divisions to a quarter of a degree). Arc AC has that many degrees.

If the angle is ABC, where B is also on the circle, this is called an inscribed angle, with vertex (its”point”) at B. Now, arc AC will have exactly twice the degree measure of angle ABC. That is a theorem in geometry textbooks, which has been known for about 2500 years!

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Suppose you roll a die two times. what is the probability of rolling a 3 both times?

Bond [772]

That would be 2/12, or 1/6 of a chance. As a percent, that would be roughly 16%.

6 0

3 years ago

Otto has some whipping cream that is 30%, butterfat, and some milk that is 2%, butterfat. He wants to make a 500 ML mixture of t

timofeeve [1]

The point J connote that the mixture has more than the expected volume and has the optimal butterfat percentage.

<h3>What is the point implying?</h3>

Note that in the question, it was supplied that Otto intended to make a mixture of 12% butter fat.

Since:

Milk = 2% butter fat

Whipping cream = 30% butter fat.

This implies that the milk contains the smallest of butter fat and it also implies that Otto would require a lot more milk than cream, to be able to attain the 12% mixture.

This is known to be when point J is said to meet, and by using that data from point J, Otto require more of milk than the cream to get what he wants.

Therefore, The point J connote that the mixture has more than the expected volume and has the optimal butterfat percentage.

Learn more about mixture from

brainly.com/question/14076470

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2 years ago

What is the substitution to 3x y=-16 5x y=-20?

erica [24]

The first one ,to substitute 3xy from -16 ...so divided both side by 3 .so, (xy =-5.33). the second one,5xy =-20. so,divided both sides by 5 so xy = -4....

5 0

3 years ago

Please help I need to get this done and I am confused

Leno4ka [110]

Answer:

Step-by-step explanati

7,5

6,8

2,4

1,3

8 0

3 years ago

Stay in school: In a recent school year in the state of Washington, there were 315000 high school students. Of these, were girls

garri49 [273]

Answer:

Step-by-step explanation:

Hello!

Since the data on the text is missing, I've found a similar exercise with the same questions so I'm going to use the data of that one to explain how to calculate the probabilities.

We have a sample of 323000 high school students

154000 are girls, of those 47700 dropped out

16900 are boys, of those 10300 dropped out

a) To calculate this probability you have to divide the total number of girls by the total number of students:

P(G)= 154000/323000= 0.476 ≅ 0.48

b) In this item you have to calculate the probability of dropouts, the total of students that dropped out are the girls + boys that dropped out:

Dropouts: 47700+10300= 58000

Now you divide it by the total of students to reach the probability:

P(D)= 58000/323000= 0.179≅ 0.18

c) Now you have to calculate the probability of the intersection between the events "female" and "dropped out", symbolically:

P(G∩D)= P(G)*P(D)= 0.48*0.18= 0.0864

d) The probability of the student dropping out given that it is female is a conditional probability and you can calculate using the following formula:

P(D/G)=<u> P(G∩D) </u>=<u> 0.0864 </u>= 0.18

P(G) 0.48

e) Now you have to calculate the probability of the student being a femal, given that she dropped out of school, symbolically:

P(G/D)=<u> P(G∩D) </u>=<u> 0.0864 </u>= 0.48

P(D) 0.88

Note:

As you can see in d) P(D/G)=P(D)=0.18 and in e) P(G/D)=P(G)=0.48, this means that both events "the student is a girl" and "the student dropped out" are independent.

Remember two events are not independent when the occurrence of one modifies the probability of occurrence of the other.

I hope it helps!

7 0

4 years ago