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2 years ago

How does the volume of a sphere with radius 2cm compare to the volume of a sphere with radius 1cm

1 answer:

5 0

if you take the radius of the first and second sphere you find that they are doubled there fore the volume changed at a rate of 2 squared because 2 is what the radius was multiplied by going from the second sphere to the first so you would square what the sphere was multiplied by there fore making your answer: the volume is compares with 2 squared

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A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?

boyakko [2]

Answer:

Step-by-step explanation:

$Original price = \$50\\Discount = 15\%\\\\\frac{15}{100} \times 50\\ = \$7.5\\$

3 0

2 years ago

The amount of carbon-14 in animal bones after t years is given by P(t)=P[0]e^(-0.00012097t). A bone has lost 37% of its carbon-1

Vesna [10]

63 years :) Hope this helps ;D

8 0

2 years ago

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

2 years ago

The product of two consecutive positive integers is 29 more than their sum. Find the integers

Rina8888 [55]

The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.

Answer: the numbers would be 6 and 7.

7 0

2 years ago

Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?

Alona [7]

Let’s make

P = Pamela
J = Jiri

J - 6 = P

P + J = 78

We can replace P with J - 6 because they are the same thing.

J - 6 + J = 78

2J - 6 = 78

2J = 84

J = 42

Jiri is 42 years old.

6 0

1 year ago

How does the volume of a sphere with radius 2cm compare to the volume of a sphere with radius 1cm​

How does the volume of a sphere with radius 2cm compare to the volume of a sphere with radius 1cm