<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>Point Y is the midpoint of segment XZ</u></em>
XY = 2(3x +1)
YZ = 5x + 22
To find: Value of x
Since, Point Y is the midpoint of segment XZ,
Therefore,
XY = YZ
2(3x + 1) = 5x + 22
6x + 2 = 5x + 22
6x - 5x = 22 - 2
<h3>x = 20</h3>
Thus, value of x is 20
Answer:
The answer is a: Number of items in several classes.
Step-by-step explanation:
Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data
2,2,4,4,6,6,6,8,8,10
The frequency distributions is
Number frequency
2 2
4 2
6 3
8 2
10 1
The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)
Number Fraction/%
2 2/10 or 20%
4 2/10 or 20%
6 3/10 or 30%
8 2/10 or 20%
10 1/10 or 10%
The cost of the tuitions will if you round off 43:000 it would $43
Note that (5π)/6 radians = 150°. Therefore the given angle is in quadrant 2.
Refer to the figure shown below.
Reference angles are measured relative to the horizontal axis.
Therefore the reference angle in each quadrant is π/6 radians or 30°.
Denote the reference angle as θ'.
Then, in quadrant 1,
cos θ' = √3/2, sin θ' = 1/2, tan θ' = √3.
Because we are in quadrant 2,
sin θ' = π/6;
sin(5π/6) is positive, but cos (5π/6) and tan (5π/6) are negative.
Answer:
5π/6 is in quadrant 2.
The reference angle, θ' = π/6.
sin(5π/6) is positive, cosine and tangent are negative.
Answer:
Since p value <0.1 accept the claim that oven I repair costs are more
Step-by-step explanation:
The data given for two types of ovens are summarised below:
Group Group One Group Two
Mean 85.7900 78.6700
SD 15.1300 17.8400
SEM 1.9533 2.3840
N 60 56
Alpha = 10%

(Right tailed test)
The mean of Group One minus Group Two equals 7.1200
df = 114
standard error of difference = 3.065
t = 2.3234
p value = 0.0219
If p value <0.10 reject null hypothesis
4) Since p value <0.1 accept the claim that oven I repair costs are more