What is the median of the following 7 scores?42, 67, 33, 79, 33, 89, 21
Can someone explain me how to make this one step by step?

Answers

Answer 1

Answer:

The median of the data set 42, 67, 33, 79, 33, 89, 21 is 42 after arranging the data set in ascending order.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

It is given that:

The data set is:

42, 67, 33, 79, 33, 89, 21

First, arrange the number in ascending order:

21, 33, 33, 42, 67, 79, 89

From the definitionof the middle term representing the median of the data set 42, 67, 33, 79, 33, 89, 21

The middle term = 42

The median of the data set = 42

First, you want to put all the numbers in order from least to greatest.

Thus, the median of the data set 42, 67, 33, 79, 33, 89, 21 is 42 after arranging the data set in ascending order.

Learn more about the median here:

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Answer 2

Answer: First, you want to put all the numbers in order from least to greatest.

21, 33, 33, 42, 67, 79, 89

Now, you can use this song to help remember how to do these problems.

Cross off the sides till you get to the center. 1 is good, 2 is bad. (If you get two numbers in the middle) add then divide by two.

Cross off 21, then 89, then 33, then 79, then 33, then 67. Now, you're left with 42 in the middle. That is your median. Hope this helps! :)

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To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz of graytone, and 5/8 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of
each dye color is needed

Answers

Answer:

We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:

1 1/8x + 3/4x + 5/8x = 20

2 1/2x = 20

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A family spends 1/10 of its annual income for housing, 1/4 for food and clothes, 1/5 for general expenses, and 2/15 for entertainment. What fractional part of their income is spent on these items altogether? A. 1/7
B. 6/41
C. 41/60
D. 11/12

Answers

Add all the fractions together:
to do this find the lcd:
which is 60
1/10 = 6/60
1/4= 15/60
1/5= 12/60
2/15= 8/60
add them together
(6+15+12+8)/60
41/60 or C is the answer

C is the right answer
Thank you

Simplify 8a-b + 4a-2b

Answers

Combine like terms meaning the ones that have the same variable.
8a + 4a = 12a
-1b - 2b = -3b
Answer: 12a - 3b

How do you simply 2x+8=-6

Answers

To simplify 2x + 8 = -6, the easiest way is to manipulate the equation one step at a time:

2x + 8 = -6
2x = -14 (subtract 8 from both sides)
x = -7 (divide both sides by 2)

1) Which BEST describes the number of solutions for the given equation?Consider the equation 7x-6 + 3 = 5x + 2x +
5
A)
one solution
B)
two solutions
infinitely many solutions
D)
no solution
2) Which equation has infinitely many solutions?
A) 9x - 3 = 3x + 6x + 2 + 3
B) 12(X + 8) - 11x - 5
11x - 2x + 15 = 8 + 7 + 9x
D) 5x - 8 - 11 - 7x + 12x

Answers

Answer:

number one is D no solution

number two is B 12(x+8)-11x-5

Step-by-step explanation:

Final answer:

The given equation 7x - 6 + 3 = 5x + 2x + 5 has no solution. The equation with infinitely many solutions is 11x - 2x + 15 = 8 + 7 + 9x.

Explanation:

For the first part of your question, let's begin by simplifying the given equation 7x - 6 + 3 = 5x + 2x + 5.

When simplified, it becomes 7x - 3 = 7x + 5, and further simplifying will give us -3 = 5, which is not correct.

Hence, this equation has no solution. So the option is D) No solution.

For the second question, let's simplify each equation and see which one results in a true statement that doesn't involve 'x'. The equation A) 9x - 3 = 3x + 6x + 2 + 3 simplifies to 9x - 3 = 9x + 5, which also gives us a false statement -3 = 5. So, the answer is not A).

If we do the same for the remaining options, we'll find that the equation with infinitely many solutions is C) 11x - 2x + 15 = 8 + 7 + 9x, simplifying it gives 9x + 15 = 15 + 9x which is a true statement for any x.

So, the equation with infinitely many solutions is option C).