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kodGreya [7K]
3 years ago
11

Jose has a mask collection. He keeps some in a display case and the rest on the wall. 153 of his masks are on the wall, and 49%

of his masks are in the display case. What is the total number of masks in Jose's collection?
Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

Answer: 49% of 153 is 74.97

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The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify c
masha68 [24]

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that P(B) = 0.0365

A mammogram can typically identify correctly 85% of cancer cases

This means that P(A|B) = 0.85

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

7 0
3 years ago
Mary spent half of her allowance going to the movies . She washed the family car and earned seven dollars . What is her weekly a
Debora [2.8K]
If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.

The equation you want to set up is

0.5x+7=18
Where, 18-7=11
0.5x=11
11/.5 = x
x = $22

Thus, Mary has a weekly allowance of 22 dollars.
4 0
2 years ago
There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S
Ksju [112]

Answer:

C

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

8 0
3 years ago
Read 2 more answers
X=3m/2-m <br><br>make m the subject of the formula<br>help me plss
wel

Answer:

2X/(3+X)

Step-by-step explanation:

X = 3m/2-m

Cross multiply both sides

X × (2-m)= 3m

2X-Xm= 3m

2X= 3m+Xm

2X= m(3+X)

Divide both sides by the coefficient of m which is (3+X)

m= 2X/(3+X)

8 0
3 years ago
These two prisms are similar. What is the value of y?
Andreas93 [3]

Answer:

y is equal to 7

Step-by-step explanation:

the ratios on each side are 2 to 14, 9 to 63, and if you divide 14 by 2 you get 7. and if you divide 63 by 9 you get 7

4 0
3 years ago
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