Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
Practically anything above -8
Such as -7, 2, 15600, anything not under -7.9
Answer:
No, the following expression is not a difference of squares. Binomial can not be factored as the difference of two perfect squares. 3 is not a square.
Step-by-step explanation:
Factor
15x^2 - 25
(15x)^2(-5)^5
Divide by 3 and factor
5(3x^2-5)
"Theory:
A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression."
I put a picture to help u understand.
9514 1404 393
Answer:
7 7/8
Step-by-step explanation:
There are several ways to get there.
2.25×3.5 = 7.875 = 7 7/8
(2 1/4)(3 1/2) = (9/4)(7/2) = 63/8 = 7 7/8
(2 1/4)(3.5) = 2(3.5) +(1/4)(3.5) = 7 + (2·3.5)/(2·4) = 7 +7/8 = 7 7/8
A typical graphing calculator will let you enter this problem directly, giving you a result either as a decimal, improper fraction, or a mixed number.
The graph is below the dark pink is where both equations overlap