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Step2247
1 month ago
12

What is the solution to the system of equations graphed below? Please Help (:

Mathematics
1 answer:
Zina [12.3K]1 month ago
5 0
C. (1,5) The solution represents where two lines intersect.
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A(n)=a(1)+(n-1)d=
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Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the
zzz [12365]
Avoid repeating the question as it can be perplexing.

Given 100 cookies and 20 brownies,
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To find the greatest common factor,
Factor them:
100 = 2*2*5*5
20 = 2*2*5
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3 months ago
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop
lawyer [12517]

Answer:

a. \frac{1}{15}

b. \frac{2}{5}

c. \frac{14}{15}

d. \frac{8}{15}

Step-by-step explanation:

There are four desktop computers and two laptops.

On a specific day, we will set up 2 of these computers.

To find:

a. What is the probability that both selected computers are laptops?

b. What is the probability that both computers are desktops?

c. What is the probability that at least one computer is a desktop?

d. What is the probability that at least one of each type of computer is included?

Solution:

Using the probability formula for event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

a. The number of successful outcomes for both computers being laptops = _2C_2 = 1

Total possible outcomes = 15

The needed probability is \frac{1}{15}.

b. The successful outcomes for both being desktop computers = _4C_2=6

Total possible outcomes = 15

The required probability is \frac{6}{15} = \frac{2}{5}.

c. For at least one desktop:

Two scenarios exist:

1. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

2. Both are desktops:

Successful outcomes = _4C_2=6

Total successful outcomes = 8 + 6 = 14

The needed probability is \frac{14}{15}.

d. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

Total outcomes = 15

The required probability is \frac{8}{15}.

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3 months ago
Which expression can be used to convert 100 USD to Japanese yen
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As of 12:04 EST in the U.S.

$1=<span>112.624847 Yen

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Twenty percent of adults in a particular community have at least a​ bachelor's degree. Suppose x is a binomial random variable
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This scenario relates to binomial probability, where the results can either be a success or a failure. A success indicates that a selected adult possesses a bachelor's degree. Consequently, the success probability, denoted as p, is 20/100 = 0.2. The number of adults in the sample, represented as n, equals 100, and x, the count of successes, is 60. The probability of having more than 60 adults with a bachelor's degree, represented as P(x >60), can be noted internally as P(x < 60) = binomcdf (100, 0.20, 60). The function binompdf would indicate P(x = 60).
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