Answer:
z = 7
Step-by-step explanation:
4z - 8 = 20
Add 8 to each side
4z - 8+8 = 20+8
4z = 28
Divide each side by 4
4z/4 = 28/4
z = 7
in the figure, the first number line goes with x 5
the second number line goes with x 5
the third number line goes with x > 5
the fourth number line goes with x < 5
Two less than 3/2 of a number x is no more than 5/2 is shown as:
3/2 x- 2 5 1/2
3/2 x 11/2 + 2
3/2 x 15/2
3x 15
x 5
The sum of two times a number (x) and -2 is at least 8 is shown as :
2x+(-2) 8
2x - 2 8
2x 8+2
2x 10
x 5
Seven subtracted from 4 times a number (x) is more than 13 is shown as
4x -7 > 13
4x > 13+7
4x > 20
x > 20 ÷ 4
x > 5
Four added to 3 times a number (x) is less than 19 is shown as
3x + 4 < 19
3x < 19-4
3x < 15
x < 15 ÷ 3
x< 5
to learn more about number line inequalities visit brainly.com/question/27916124
# SPJ9
Answer:
A dilation is a type of transformation that changes the size of the image. The scale factor, measures how much larger or smaller the image is. Each type of dilation (one that gets larger and one that gets smaller).
Step-by-step explanation:
I don't know if this'll be enough help, but it's a brief definition.
Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
<u>First population:</u>
Sample size = 49
Population standard deviation = 3
Sample mean = 10
<u>Second population:</u>
Sample size = 64
Population standard deviation = 4
Sample mean = 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:
Level of significance = 0.01
Using the Z-test statistics;
Z = - 3.037
Z - 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses
Answer:
63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area
Step-by-step explanation: