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3 years ago

The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged.

Mathematics

2 answers:

-BARSIC- [3]3 years ago

5 0

Answer: 0.1 mile per minute

Step-by-step explanation:

I’ve just took the quiz and got it right

Option A

Ymorist [56]3 years ago

4 0

Answer:

option A

Step-by-step explanation:

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10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

A shoe store sold 340 pairs of shoes in one day. The number of pairs f athletic shoes sold was 4 more then twice the number of p

sp2606 [1]

344 pairs of athelic shoes were sold bc when f=688 double 344 bc its individual shoes

if u set up the equation f÷2 - 4 = 340 and u input f u get the answer.....hope this helped

5 0

3 years ago

Dafna1 [17]

Slope (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in any point
4 = 2/5(5) + b
4 = 2 + b, b= 2
Final equation: y = 2/5x + 2

3 0

3 years ago

Read 2 more answers

What is the quotient (2x3 − 15x2 − 10x + 16) ÷ (x − 8)?

lozanna [386]

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