Answer:
The solution to that inequality is (-2,2).
Step-by-step explanation:
Given the inequality |x|<2, we have two possibilities
1) x<2 or
2) -x<2 ⇒ x> -2.
Then the intersection between solutions is (-2, 2).
I am pretty sure the correct answer is $146.75. Hope this helps!!!!!!!
Answer:t= 9
Step-by-step explanation: 10t =90
divide 10 on both sides
so 10t /10 and 90/10
which means t=9
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
Answer:
2/5.
Step-by-step explanation:
The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19.
A total of 8.
So the probability of rolling a prime number is 8/20
= 2/5.