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mojhsa [17]
3 years ago
8

Solve the following inequality: -20 < 4- 2x

Mathematics
2 answers:
Bas_tet [7]3 years ago
7 0

Answer: The answer is x < 12 but i don't see that as an option.

Lina20 [59]3 years ago
4 0

Answer: 12 > x

Step-by-step explanation:

-20 < 4 - 2x

(Turn the sign into an equal sign.)

-20 = 4 - 2x

(Subtract four.)

- 24 = -2x

(Divide -2.)

12 = x

(Replace the equal sign with an inequality sign.)

12 > x

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Consider the system of equations. y = 3x + 2       y = − 2 3 x − 4 Explain why these particular equations can be graphed immedia
inessss [21]

Answer:

These equations are in slope-intercept form. I can use the y-intercept and slope to graph both lines. I plot the y-intercept and use rise over run to locate another point on the line. Then, I can draw a line through the two points.

Step-by-step explanation:

3 0
3 years ago
In an anthropology class there are 77 anthropology majors and 1414 non-anthropology majors. 55 students are randomly selected to
Nata [24]

Answer:

P = 0.9989

Step-by-step explanation:

In order to do this, I will use the following numbers to make the calculations easier. In this case, We'll say that we have 7 majors and 14 non majors anthopology to present a topic.

This means that in the class we have 21 students.

Now, we choose 5 of them, and we want to know the probability that 1 of them is non major.

First, we need to calculate the number of ways we can select the students in all cases, and then, the probability.

First, we'll use the combination formula, to calculate the number of ways we can select the 5 students out of the 21. We use combination, because it does not matter the order that the students are selected.

C = m! / n!(m - n)!

Where:

m: number of students

n: number of selected students out of m.

With this expression we will calculate first, how many ways we can choose the 5 students out of 21:

C1 = 21! / 5!(21-5)! = 20,349

Now let's calculate the number of ways you can get the all 5 students are non majors:

C2 = 14! / 5!(14 - 5)! = 2002

Now we need to know the number of ways we can get 4 non majors and 1 major:

C3 = C3' * C3''

C3' represents the number of ways we can get 4 non majors and the C3'' represents the number of ways we can get 1 major.

C3' = 14! / 4!(14 - 4)! = 1,001

C3'' = 7! / 1!(7 - 1)! = 7

C3 = 1001 * 7 = 7,007 ways to get 4 non majors and 1 major

Now the way to get 3 non majors and 2 majors, we do the same thing we do to get 4 non majors and 1 major, but changing the numbers. Then the way to get 2 non majors and 3 majors, and finally 1 non major and 4 majors:

3 non majors and 2 majors:

C4 = C4' * C4'' = [14! / 3!(14 - 3)!] * [7! / 2!(7 - 2)!] = 7,644

2 non majors and 3 majors:

C5 = C5' * C5'' = [14! / 2!(14 - 2)!] * [7! / 3!(7 - 3)!] = 3,185

1 non major and 4 majors:

C6 = C6' * C6'' = [14! / 1!(14 - 1)!] * [7! / 4!(7 - 4)!] = 490

Finally to know the probability of getting 1 out of the 5 to be non major, we have to sum all the previous results, and divide them by the ways we can choose the 5 students (C1):

P = 2,002 + 7,007 + 7,644 + 3,185 + 490 / 20,349

P = 0.9989

5 0
3 years ago
Annual salary plus bonus data for chief executive officers are presented in the BusinessWeek Annual Pay Survey. A preliminary sa
Anuta_ua [19.1K]

Answer:

175

Step-by-step explanation:

The sample size n in<em> Simple Random Sampling</em> is given by

\bf n=\frac{z^2s^2}{e^2}

<em> where z = 1.96 is the z-score associated with a 95% confidence level ans s the standard deviation. </em>

Replacing values

\bf n=\frac{(1.96)^2(675)^2}{(100)^2}=175

So, there should be 175 chief executive officers in a sample if we want to estimate the population mean annual salary plus bonus with a margin of error of $100,000

7 0
3 years ago
Can someone tell me if it’s correct?
mart [117]
Yes yes it is correct
8 0
3 years ago
Read 2 more answers
How to calculate the decimal form of a given fraction. Please help ASAP mam/sir.​
kow [346]

In a fraction, the fraction bar means divided by. So to find the decimal form equivalent of a fraction like 1/4 you need to solve the math problem 1 dived by 4.

1 ÷ 4= 0.25

8 0
3 years ago
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