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schepotkina [342]
2 years ago
10

64 less than y is no less than −128 Written in interval notation

Mathematics
1 answer:
Vilka [71]2 years ago
4 0

Answer:

y\in [-64,\infty) .

Step-by-step explanation:

The given statement is "64 less than y is no less than −128". It means 64 less than y is greater than or equal to −128.

y-64\geq -128

Add 64 both sides.

y-64+64\geq -128+64

y\geq -64

It means possible value of y is greater than or equal to -64.

y\in [-64,\infty)

Therefore, the required interval is [-64,\infty).

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Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m
tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
2 years ago
james has a piece of construction paper with an area of 65 1/4 inches is 9 2/3 inches long. What is the width of a piece of cons
Aneli [31]
  • divide 65 1/4  with 9 2/3 you will get 6 3/4.
  • so width is 6 3/4
3 0
3 years ago
Read 2 more answers
Please solve 3x≤−5/4
frosja888 [35]
I think it is x ≤ -5/12
6 0
3 years ago
Solve the system of equations
Brums [2.3K]
5x+4y = 73
-4x + 4y = -8

5x + 4y -(-4x+4y) = 73 -(-8)
5x + 4y + 4x - 4y = 81
5x + 4x + 4y - 4y = 81
9x = 81
x = 81÷9
x = 9

Substitute x = 9 into any of the equations to find y.

5(9) + 4y = 73
45 + 4y = 73
4y = 73 - 45
4y = 28
y = 28÷4
y=7

Answers :
x = 9
y = 7
8 0
2 years ago
Read 2 more answers
Is the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer.
Lilit [14]
Any line y=m is horizontal. The y-coordinate of any point lying on such line is m, only x-coordinates change.

If y=1, then two points on the line are (x₁,1) and (x₂,1).

\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-1}{x_2-x_1}=\frac{0}{x_2-x_1}=0

So, the slope of this and any horizontal line is 0.

The answer is a.
6 0
2 years ago
Read 2 more answers
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