Answer:
1,280
Step-by-step explanation:
<h2>You multiply 20 and 16 then, divide 0.25 then you get 1,280 </h2>
Answer:
The mean of this distribution is 36 years.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
![\sigma = 7](https://tex.z-dn.net/?f=%5Csigma%20%3D%207)
There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22
This means that when X = 22, Z has a pvalue of 0.02275. So when X = 22, Z = -2. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-2 = \frac{22 - \mu}{7}](https://tex.z-dn.net/?f=-2%20%3D%20%5Cfrac%7B22%20-%20%5Cmu%7D%7B7%7D)
![22 - \mu = -2*7](https://tex.z-dn.net/?f=22%20-%20%5Cmu%20%3D%20-2%2A7)
![\mu = 22 + 2*7](https://tex.z-dn.net/?f=%5Cmu%20%3D%2022%20%2B%202%2A7)
![\mu = 36](https://tex.z-dn.net/?f=%5Cmu%20%3D%2036)
The mean of this distribution is 36 years.
7/4x is the answer to your question
Since the two triangles are similar with the following equalities
BL/FJ = JF/FK
(x+6)/4 = (3x+2)/6
Cross-multiplying,
6(x+6) = 4(3x+3)
Distibuting,
6x+36 = 12x+8
Solving for x,
6x - 12x = 8 - 36
-6x = -28
x = 4 2/3
The answer is (2) 4 2/3
Answer:
y = -
x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (- 2, 3) ← 2 points on the line
m =
= - ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
note the line crosses the y- axis at (0, - 2) ⇒ c = - 2
y = -
x - 2 ← equation of line