Answer:
StartRoot 58 EndRoot cm
THE ANSWER IS D
Step-by-step explanation:
Use the distance formula, AB=√[(1-(-9)]²+[(-1-(-3)]=√[100+4]=√104
use the same formula, AC=√52, BC=√52
AC²+BC²=52+52=104=AB²
Yes, it is a right triangle.
Answer: Number one would be 3x+2y+-14 and x+y=-4, second one is x=-3, y=7
Step-by-step explanation:
The first one is solved by inputting the x and y in each one and finding which one comes out true, the second on is solved by substitution. to find x you would subtract x in the first equation and make it y=4-x then input that equation in the y in the second equation.
flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means
⌊ 2.5 ⌋ = 2
⌊ 2.00000001 ⌋ = 2
⌊ 2.999999999999⌋ = 2
⌊ -2.0000000001⌋ = -3
⌊ -2.999999999999⌋ = -3
let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.
⌊ -5.2 ⌋ = -6.
Answer:
y = 7.8x + 26
Step-by-step explanation:
Given the following :
Pearson's r = 0.78
Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams
Average weight = 65 kg with standard deviation of 15kg
Formular for the regression line :
General regression formula :
y = mx + c
y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept
Gradient (m) = change in y / change in x
m = (sd y / sd x) * r
m = (sd weight / sd ice cream) × r
m = (15 / 1.5) × r
m = 10 × 0.78 = 7.8
Intercept:
mean of weight(y) - [Slope×mean of icecream(x)]
65 - [7.8 × 5]
65 - 39 = 26
Hence,
y = 7.8x + 26
