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3 years ago

Match the conditional statement p→q, the converse q→p, the inverse ~p→~q, and the contrapositive ~q→~p in words.

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

For the text answers:

conditional - If 2 lines are supplementary then the measure of the angles sum is 180

converse - If the measure if the angle sum is 180 then the 2 lines are supplementary

inverse - If 2 lines are not supplementary then the measure if the angle sum is not 180

contrapositive - If the measure if the angle sum is not 180 then 2 lines are not supplementary.

answer to the picture one:

conditional - If you do all your math homework then you will do well on the test.

converse - If you do well on the test then you do all your math homework

inverse - If you do not do all your math homework then you will not do well on the test.

contrapositive - If you do not well on the test then you did not do all your math homework

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g Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the prese

Marizza181 [45]

Answer:

The probability that the result is positive is P=0.04475=4.475%.

Step-by-step explanation:

We have the events:

D: disease present

ND: disease not present

P: test positive

F: test false

Then, the information we have is:

P(D)=0.005

P(P | D)=0.99

P(P | ND)=0.04

The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

$P(P)=P(P | D)*P(D)+P(P | ND)*(1-P(D))\\\\P(P)=0.99*0.005+0.04*0.995\\\\P(P)=0.00495+0.0398=0.04475$

The probability that the result is positive is P=0.04475.

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3 years ago

A car travelled at a<br> constant speedof 40m/s<br> for 4.5 s. Calculate the<br> distance covered

gregori [183]

Answer:

180m

Step-by-step explanation:

you multiply 40 by 4.5 and get 180m

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2 years ago

A self-tanning lotion advertises that a 4 -oz bottle will provide seven applications. Jen found a great deal on a 13 -oz bott

Alexxx [7]

4oz = 7 app
1oz = 1.75 app

13oz = 1.75 x 13
= 22.75 app

answer = the 13oz bottle should provide 22 application (as .75 does not count as one)

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3 years ago

Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6%

Andru [333]

The rule of 72 says to divide 72 over the interest rate without the percent sign attached to it. This means we divide 72 over 9.6 to get 72/9.6 = 7.5

So the money doubles every 7.5 years. When another 7.5 years rolls around, a total of 2*7.5 = 15 years has gone by. At this point the money is roughly 4 times that of the original amount deposited.

<h3>Answer: choice B</h3>

5 0

3 years ago

Read 2 more answers

Find the value of X in the triangle shown below

dedylja [7]

Answer:

102°

Step-by-step explanation:

This is an isosceles triangle

x = 180 - 39 - 39

x = 102°

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3 years ago