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Tju [1.3M]
4 years ago
10

12 minus b=-2 solve for b

Mathematics
2 answers:
ycow [4]4 years ago
5 0
12 - b = -2
12 + 2 = b
14 = b
Vika [28.1K]4 years ago
5 0

Answer:

\:  \:  \:  \:  \: \: 12 - b =  - 2 \\  =  >  - b =  - 2 - 12 \\  =  >  -  b =  - 14 \\   =  >  b = 14

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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
3 years ago
A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18
Rufina [12.5K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Use the algebraic expressions for the length and width of Marlene's living room found in the
krok68 [10]

Answer:

<em>The area of Marlien's living room is 420 square ft</em>

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

8 0
3 years ago
Which represents the number 16,807 in exponential form
Naya [18.7K]
7^5. Found by trial and error.
3 0
3 years ago
What is 859 under a thousand as a mixed number?
Semmy [17]
To convert the improper fraction \frac{1000}{859} into a mixed number, you first want to divide the numerator (1000) by the denominator (859):
1000 \div 859 = 1 R141

The quotient, which is 1, will be your whole number part of your mixed number. The remainder, 141, will become the numerator of the fraction part of your mixed number. The original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
\frac{1000}{859} = 1 \frac{141}{859}

Your answer is 1 \frac{141}{859}

6 0
3 years ago
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