Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.


![=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10-%5B-2%5D%7D%7B-3-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B10%2B2%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B12%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%20-%203)
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
Got you fam. or whatever you kids say these days....
Reflect the rectangle across the y axis
Move +3 units x (3 units to the right _)
Rotate -90°
Move -3 units y (3 units down)
Answer
1. f - 3/4
2. 62 + h
Step-by-step explanation:
1. 1/4 of the fish are angelfish, all fish are one whole, one whole - 3/4's = 1/4
2. we dont have the value of H so we in turn have to figure out the equation and 62 + h is the only answer we can come to
Answer:
a) 0.216
b) 0.1587
c) 0.369
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.2 grams
Standard Deviation, σ = 2.8 grams
We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.
Formula:
a) P(contains less than 10 grams of impurities)
P(x < 10)
Calculation the value from standard normal z table, we have,

b) P(contains more than 15 grams of impurities)
P(x > 15)
Calculation the value from standard normal z table, we have,

c) P(contains between 12 and 15 grams of impurities)

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).
Answer:
The total amount of students in the class would be 30. The total amount of girls would be 12.
Step-by-step explanation:
60% * x = 18
(60/100) * x = 18
6x/10 = 186x = 18 * 10
6x = 180x = 180/6 = 30
The total number of students in the class is 30.
Number of girls in the class = 30 - 18 = 12
So there are 12 girls in the class.