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Nutka1998 [239]
4 years ago
11

Need help with this math

Mathematics
1 answer:
dybincka [34]4 years ago
7 0

It's negative four, you can see the line moves down by four. The y- intercept is 4 and the x- intercept is 1. Now to find the slope you use stardard form            y = mx + b. once substituting the values in the equation you find out that it's -4.

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A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not
castortr0y [4]

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

<em><u>Solution:</u></em>

<em><u>The probability is given as:</u></em>

Probability = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}

Given that,

A box contains four red balls and eight black balls

Red = 4

Black = 8

Total number of possible outcomes = 12

Let event B be choosing a black ball first and event R be choosing a red ball second.

<h3><u>Find P(B)</u></h3>

P(B) = \frac{8}{12}

<h3><u>Find P(B n R)</u></h3>

P(B n R) = P(B) \times P(R)\\\\P(B n R) = \frac{8}{12} \times \frac{4}{11}\\\\P(B n R) = \frac{8}{33}

<h3><u>Find </u><u> P(R | B)</u></h3><h3>P(R | B) = \frac{P(R n B)}{P(B)}\\\\P(R | B) = \frac{\frac{8}{33}}{\frac{8}{12}}\\\\P(R | B) = \frac{8}{33} \times \frac{12}{8}\\\\P(R | B) = \frac{4}{11}</h3>

<em><u>The probability that the first ball chosen is black and the second ball chosen is red is about percent</u></em>

\frac{8}{33} \times 100 = 0.24 \times 100 = 24 \%

Thus the probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

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If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
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Answer:

Number of cookies produced in 8 hour are 10,600 cookies.

Step-by-step explanation:

If the production rate of cookies in a bakery is 1325 cookies per hour, we need to tell how many cookies will be produced in 8 hour shift.

Number of cookies produced in 1 hour = 1325 cookies

Number of cookies produced in 8 hour = 1325 * 8

                                                                 = 10,600 cookies.

So, Number of cookies produced in 8 hour are 10,600 cookies.

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Answer:

Memes are amazing.

Step-by-step explanation:

They're also how I get my news.

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Answer:

120

Step-by-step explanation:

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