Answer:
x = 96
Step-by-step explanation:
x + x - 5 + x - 11 + x - 8 = 360
4x - 24 = 360
4x = 360 + 24
4x = 384
x = 96
Ok, so here, we need to use the slope formula which is:
(y2 - y1)/(x2-x1)
y2 = 9
y1 = 5
x2 = x
x1 = 10
So:
(9-5)/(x-10) = -2
Now, we just solve for x,
9-5 = -2(x-10)
4 = -2x+20
2x = 16
x = 8
Using the normal distribution, it is found that the correct option is:
In a <em>normal distribution</em> 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.
In this problem:
- The mean on the Wechsler Scale is of 100, hence .
- The standard deviation is of 17, hence .
- Brianna had an score of 117, hence
Then:
Hence, the option d is correct.
To learn more about the normal distribution, you can check brainly.com/question/24663213
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
Putting , we get
Therefore, the measure of angle RQP is 33 degrees.
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
__
<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
__
<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.