Answer:
Hope i helped :)
Step-by-step explanation:
8) T-V =24
24 -6 =18
2x-18 =18
2x=0
x= 0/2
x=0
9)
*LMK
*L-K=x+3
*L-M=6x-10
*M-K= 3x-3
L-M + M-K = 6x -10 + 3x -3 = 9x -13
10 and 11)
Both lines are horizontal
both lines consist of intervals due to having 2 points on one line making it a distance between 2 points.
they are also concurrent lines because more then 3 lines pass through one point
they are also intersecting lines because they cross over each other
Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- Mean of 4.1 years, thus
. - Standard deviation of 1.3 years, thus
.
Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the <u>p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8</u>, thus:
X = 7:



has a p-value of 0.9871.
X = 2.8:



has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:

A similar problem is given at brainly.com/question/25151638
The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6
<h3>Calculating the length of the sides of a kite </h3>
From the question, we are to determine the values of a and b
From the given kite diagram, we can conclude that
/FG/ = /HG/
Thus,
30 = 2a - 4
∴ 2a - 4 = 30
2a = 30 + 4
2a = 34
a = 34 / 2
a = 17
Also,
/FJ/ = /HJ/
3b + 6 = 24
3b = 24 - 6
3b = 18
b = 18/3
b = 6
Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6
Learn more on Calculating the sides of a kite here: brainly.com/question/21133066
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