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2 years ago

How many 1/2 cup servings are in a box of oatmeal that contains 6 3/4

Mathematics

1 answer:

anzhelika [568]2 years ago

7 0

6 and 3/4 divided by 1/2

27/4 divided by 1/2

27/4 * 2/1 = 27/2 = 13 and 1/2

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1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t

antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This 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 certain performer has an independent .04 probability of a crash in each race.

This means that $p = 0.04$

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

$P(X \geq 1) = 1 - P(X = 0)$

When $n = 30$

We have that:

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

$P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061$

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0

2 years ago

Which of the following represents the factorization of the trinomal below

Allisa [31]

I believe B. is your answer. If you use the ac method, you will multiply 8 and 3 which is 24. So now, what factors of 24 will give you 10?6 and 4

Now substitute

$8 {x}^{2} + 4x + 6x + 3$
Now do factorization by grouping.

$4x(2x + 1) + 3(2x + 1)$
Therefore, your answer is (4x+3)2x+1)

6 0

2 years ago

Witch of the following properties can be used to show that the expression 4^5/3 is equivalent to ^3√4^5

xz_007 [3.2K]

Step-by-step explanation:

I think so option b Is answer

8 0

2 years ago

Help me! Thanks a lot.

kari74 [83]

Answer:

Step-by-step explanation:

1 x 24

2 x 12

3 x 8

4 x 6

8 0

2 years ago

Find the slope and y intercept

RUDIKE [14]

Answer:

Slope: 1/2

y-intercept: -2

8 0

2 years ago