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weqwewe [10]
3 years ago
6

Suppose that 28.3% of all students took an accounting course 31.3 of all students took a statistics course and 49.1 of all stude

nts took in accounting and statistics course what is the probability that a randomly-selecte student took in accounting or statistics course
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

10.5%

Step-by-step explanation:

The probability that a student took an accounting course, P(A)= 28.3%

The probability that a student took a statistics course P(A)= 31.3%

The probability that a student took accounting and statistics course,

P(A \cap S)=49.1\%

We want to determine the probability that a randomly selected student took an accounting or statistics course, P(A \cup S)

In probability theory,

P(A \cup S)=P(A)+P(S)-P(A \cap S)\\P(A \cup S)=28.3\%+31.3\%-49.1\%\\P(A \cup S)=0.283+0.313-0.491\\P(A \cup S)=0.105

The probability that a randomly selected student took an accounting or statistics course is 0.105 or 10.5%.

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Abebe is 12 years old and his sister Aster is 2 years old. In how many
Nonamiya [84]

Answer:

Abebe will be exact twice as old as Aster in 8 years.

Step-by-step explanation:

Since Abebe is 12 years old, and his sister Aster is 2 years old, there is a difference of 10 years between them (12 - 2). Therefore, the difference between the two implies that Abebe is exactly twice as old as her sister when she is 10 years old, and she is 20 years old (10 x 2 = 20).

Therefore, since 20-12 equals 8, Abebe will be twice as old as her sister Aster hers in 8 years.

6 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria s
kobusy [5.1K]

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

5 0
3 years ago
Smoothing a time series of observations A. is a form of statistical cheating. B. allows statisticians to use less data than woul
DedPeter [7]

Answer:

D. is used to reveal an underlying pattern in the data.

Step-by-step explanation:

Smoothing a time series is achieved when a computer uses some pre-programmed calculation methods to remove noise from large volumes of data. Smoothing helps a user detect patterns in a set of data, thus making it possible to make future predictions. For example, smoothing can be used in the prediction of the rise and fall of stock prices. This helps the traders to have an idea of what to expect in the cost of trading.

Although smoothing reveals the patterns in a set of data, it provides no explanation as to why it is so. It is left to the researcher to draw conclusions as to the reasons for the patterns.

5 0
3 years ago
Antonio has $15 to spend on a set of colored pencils for his art class. Which number line represents the amount that he can spen
Mama L [17]
Answer: A
If he has 15$ then he could spend all of it on the colored pencils, so there has to be a black dot on 15, & if he could buy the colored pencils less than 15$ then it has to be a black dot on 15 & an arrow pointing to less than 15

I hope this answers your question
6 0
2 years ago
How do the average rates of change for f(x) = -0.5x² and g(x) = -1.5x² over the interval -5 ≤ x ≤ -2 compare?​
masha68 [24]
Pick an x-value between the interval givens. I’ll choose “1”. If you sub in one for both f(x) and g(x) you get that f(1) = -1.5 and g(1) = -0.5. Now you can divide f(1) by g(1) to get average rate of change. -1.5/-0.5 = 3.
8 0
2 years ago
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