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Ahat [919]
3 years ago
6

Consuelo living room is in the shape of a rectangle and haa an area of 360 square feet. the width of the livingroom is 5/8 its l

enght. what is the lenght of the living room
Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
360=LW 
<span>W=5/8 L </span>

<span>360=L*5/8 L=5/8 L^2 </span>
<span>L^2=8*360/5=8*72 </span>
<span>L=sqrt(4*144)=24
The length is 24</span>
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A diagnostic test has a 95% probability of giving a positive result when given to a person who has a certain disease. It has a 1
stealth61 [152]

Answer:

a)0.2275   b)95/105=19/21    c)10/105= 2/21

Step-by-step explanation:

a) The case "The test result is positive" consists in 2 parts.

The 1st one is "The person has the desease (15%=0.15)  and the test's  result is positive (95%=0.95)

The probability of that is P(desease, positive) = 0.15*0.95=0.1425

The 2nd one is "The person has no the desease (100%-15%=85%=0.85). However the test result is positive (10%=0.1)

The probability of that is P(not desease, positive)=0.85*0.1=0.085

The total probability that test is positive is the sum of 1st and 2-nd parts of the case: P(pos) = 0.1425+0.085=0.2275

b) As it has been shown in a) The test result can be positive in case that the person is really has the desease (95%) and in case the person has no the desease (10%).  This actually means that 95 persons from 105  having positive test result are really has the desease.

So the probability that the test result is positive and person has the desease is P (desease/positive)= 95/105

c) It's clearly seen that the sum of  probabilities of b) and c)  equal 1.

Both events make full group of events.

If the test result is positive the person can have the desease or can have not the desease. So ( no desease/positive)= 1-95/105=10/105

6 0
2 years ago
Find the measure of angle A. This is for my math class, and I’ve been stuck on this for a while. Please help!
Kruka [31]

Answer:

20°

Step-by-step explanation:

The sum of angles in a ∆ = 180°

Therefore, (17x - 1) + (3x - 4) + 25 = 180

Use this expression to find the value of x, then find the measure of angle A.

17x - 1 + 3x - 4 + 25 = 180

17x + 3x - 1 - 4 + 25 = 180

20x + 20 = 180

Subtract 20 from both sides

20x + 20 - 20 = 180 - 20

20x = 160

Divide both sides by 20

\frac{20x} = \frac{160}{20}

x = 8

Find measure of angle A.

Angle A is given as 3x - 4

Plug in the value of x and solve

A = 3(8) - 4 = 24 - 4 = 20

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3 years ago
“Below are in standard form and explain why.” Who’s correct?
horrorfan [7]

Answer:

From my knowledge and my research the answer is B! Thank you

Step-by-step explanation:


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krok68 [10]
The first one because of you add 10 and 4 you get 14. And they both multiply 6 by 14.
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Answer:

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Step-by-step explanation:

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