Answer:
The answer to your question is:
a) Letter B
b) Letter D
Step-by-step explanation:
a) | x | + 3 < 10
Formula
| x | < a ⇒ - a < x < a
| x | + 3 < 10
| x | < 10 - 3
|x | < 7 solution - 7 < x < 7
or -7 < x and x < 7 Letter B
b) it must be letter D x < 4 and x < 1
Plug in 2 for x, and -4 for y
2(2)² + 3(2)(-4) - (-4)²
2² = 4(2) = 8
3(2) = 6(-4) = -24
-4² = 16
8 - 24 - 16 = answer
Simplify.
answer = 8 - 40
answer = -32
-32 is your answer
hope this helps
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
Answer:
7
Step-by-step explanation:
σ = 4 ; μ =?
8.52 to the left of X
.
P(X < 8.52) = 64.8%
P(X < 8.52) = 0.648
Using the Z relation :
(x - μ) / σ
P(Z < (8.52 - μ) / 4)) = 0.648
The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)
Z = 8.52 - μ / 4
0.38 = 8.52 - μ / 4
0.38 * 4 = 8.52 - μ
1.52 = 8.52 - μ
μ = 8.52 - 1.52
μ = 7
Answer:
x- 3y - 7=0
Step-by-step explanation:
the line in the slope-intercept form:
m= 1/3 and point given (1, -2) by using which we find y-intercept:
- b= y-1/3x
- b= -2- 1/3*1= - 7/3
General form of a line is: ax+by+c= 0
converting:
- y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0
