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3 years ago

One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?

1 answer:

3 0

X + x + 24 = 58
x = (58-24)/2=17
the first number is 17 and the second number is the sum of 17 and 28. Finding it has been left as an exercise for the reader.

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Write the following equation in slope-intercept form: 2x + 3y = 6

Leokris [45]

Answer:

y=-2/3x+2

Step-by-step explanation:

2x+3y=6

3y=6-2x

3y=-2x+6 /:3

y=-2/3x+6/3

y=-2/3x+2

Slope=-2/3

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3 years ago

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Yd it in 8 10 15 +2 3 5

erik [133]

Step-by-step explanation:

I don't exactly know what you're trying to say, but I'm guessing it's an addition question, so...

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3 years ago

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A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect

Elodia [21]

Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

D = a person has the disease

X = the test is positive.

The information provided is:

$P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99$

Compute the probability that a person does not have the disease as follows:

$P(D^{c})=1-P(D)=1-0.88=0.12$

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

$P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264$

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

$P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188$

Compute the probability that a randomly selected person is tested negative as follows:

$P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})$

$=0.0264+0.1188\\=0.1452$

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

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3 years ago

125% of x is 60. What is x

Lunna [17]

Answer:

Step-by-step explanation:

1.put your percent over a 100 so

125%/100 then put 60 over x

2.then cross multiply 100x60=6000

3.then divide 6000 by 125 which is percent

4.your answer is-48

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3 years ago

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Which number line model represents the expression-1 1/2 + 1 1/2

Luba_88 [7]

Answer:

I can't see the other answers, but find the one that goes to 3. It will look like C, but only arrows going up.

Step-by-step explanation:

1 + 1 = 2

1/2 + 1/2 = 1

2 + 1 = 3

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3 years ago