What is the solution set of {x | x 2} ∪ {x | x ≥ 2}

Answers

Answer 1

Answer: the solution to this sets union is:

{x | x = 2} ∪ {x | x ≥ 2}
= { x | x >= 2 }

that is the total solution of the union., the second set is a superset of the first, so the total solution is the second set itself.

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Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.

Answers

The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.

It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.

Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:

= 32 + 115 + 33

= 180°

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Answer:

Step-by-step explanation:

It's B

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

15. Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs?
A. 3 1/2yards
B. 4 yards
C. 4 3/8 yards
D. 3 2/3 yards

Answers

14. C, 41/60
15. also C, 4 3/8 Yards

The following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9 5 2 22 10 3 3 5 After removing the outlier, what does the mean absolute deviation of this data set represent?

Answers

The outlier is the obviously different data among the whole group of data points. In this case, the outlier is 22. When you find the mean, you only use the data points without the outlier. Therefore,

Mean = (9+4+10+9+5+2+10+3+3+5)/10 = 6

Then, the mean absolute deviation is

∑(x-mean)^2/n, where x is every single data point and n is the number of data points which is equal to 10

|9-6|+|4-6|+|10-6|+|9-6|+|5-6|+|2-6|+|10-6|+|3-6|+|3-6|+|5-6| = 28

Then,

Mean Absolute Deviation (MAD) = 28/10 = 2.8

This is the average distance of the data from the mean.

Answer:

I took the test, it is On average, the height of a plant varies 2.8 inches from the mean of 6 inches.

Step-by-step explanation:

Evaluate the expression when x=10, y=−2, and z=−5. −x2+6z/y=

Answers

- (10)2 + 6(-5)/(-2)

- 20 + -30/-2

- 20 + 16

4 ( I think)

Final answer:

The value of the expression −x2+6z/y when x=10, y=−2, and z=−5 is -85.

Explanation:

To evaluate the expression when x=10, y=−2, and z=−5, we substitute these values into the expression:

−x2+6z/y

−(10)2+6(-5)/(-2)

−100+(-30)/(-2)

−100+15

= -85

Therefore, when x=10, y=−2, and z=−5, the value of the expression −x2+6z/y is -85.

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A quadratic equation x^2-8x+9=0 is rewritten in the form (x-p)^2=q. What are the values of p and q?

Answers

x^2-(2)(x)(4)+16-7=0
x^2-(2)(x)(4)+4^2 =7
(x-4)^2=7

So value of p is 4 and q is 7

(2^6 x 9^6 ) divided 18^14

Answers

Answer:

324

Step-by-step explanation:

Answer:

(2^6)(x^9^6) / 1814

Simplifies to:

1 / 5856458868470016^x531441

Step-by-step explanation:

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