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2 years ago

6

Jon rides his bike 5 miles in 40 minutes Paul rides his bike 8 miles in 40 minutes if they continue at this rate how far will ea

ch person ride in one hour?

1 answer:

Darina [25.2K]2 years ago

3 0

Answer:

6x² + 11x – 35 = 0, 2x²

– 4x – 2 = 0, 2x² – 64 = 0, x²

– 16 = 0, x² – 7x = 0, 2x² + 8x = 0

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50× 3/8 how to reduce answer to lowest te

hoa [83]

The lowest term is $\frac{75}{4}$ .

Solution:

Given expression is $50\times\frac{3}{8}$

<u>To reduce this term to the lowest term:</u>

$$50\times\frac{3}{8}=\frac{50}{1}\times\frac{3}{8}$

Multiply the numerator and denominator.

$$50\times\frac{3}{8}=\frac{150}{8}$

Now, divide the numerator and denominator by the greatest common factor.

Here 150 and 8 both have common factor 2.

So, divide numerator and denominator by 2.

$$=\frac{150\div2}{8\div2}$

$$=\frac{75}{4}$

$$50\times\frac{3}{8}=\frac{75}{4}$

Hence the lowest term is $\frac{75}{4}$ .

4 0

3 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

Write this statement as a conditional statement in the form “if p, then q.”

Nezavi [6.7K]

Answer:

if three points are all located on the same line, then, the points are collier points.

Step-by-step explanation:

the if or p statement is called the hypothesis.

the then or q statement is called the conclusion.

6 0

2 years ago

If you flip a coin or roll a 6-sided die, what is the probabilty that you will flip a tails and roll a 2?

telo118 [61]

Answer:

$\frac{1}{12}$

Step-by-step explanation:

P(tail) = $\frac{1}{2}$

P(2) = $\frac{1}{6}$

P(tail and 2 ) = $\frac{1}{2}$ × $\frac{1}{6}$ = $\frac{1}{12}$

3 0

2 years ago

This is on graphing cosine and sine functions!

yawa3891 [41]

Check the picture below.

5 is 1*5, or 5 times greater than 1.

4 0

2 years ago