Answer:
A. 25.14%
B. 0.99%
C. 100%
D. 86.07%
Step-by-step explanation:
μ = 52, σ = 3
Each problem gives you an x value and asks you to find a probability. First calculate the z score(s), then look up in a table or use a calculator.
z = (x − μ) / σ
A. Find P(x < 50)
z = (50 − 52) / 3
z = -0.67
P(z < -0.67) = 0.2514
B. Find P(x > 59)
z = (59 − 52) / 3
z = 2.33
P(z > 2.33) = 1 − 0.9901 = 0.0099
C. Find P(x > 40)
z = (40 − 52) / 3
z = -4
P(z > -4) = 1 − 0 = 1
D. Find P(48 < x < 57)
z₁ = (48 − 52) / 3
z₁ = -1.33
z₂ = (57 − 52) / 3
z₂ = 1.67
P(-1.33 < z < 1.67) = 0.9525 − 0.0918 = 0.8607
I used a z score table. For more accurate answers, use a calculator.
Answer:
Irene had $3744 at first.
Step-by-step explanation:
Let Angie and Irene had the money initially = $a
At a shopping mall Angie spent money = $2595
Money left with Angie = $(a - 2595)
Similarly, Irene spent the money = $297
Money left with Irene = $(a - 297)
Money left with Irene was thrice as much as Angie,
(a - 297) = 3(a - 2595)
a - 297 = 3a - 7785
3a - a = 7785 - 297
2a = 7488
a = 
a = $3744
Therefore, Irene had $3744 at first.
Keisha would have to walk 3520 yards to complete the 2 miles.
I hope this helps!
Answer:
282 ft
Step-by-step explanation:
Area of 2 triangles = 6+6
= 12 ft
Area of 3 rectangles = 90+90+90
= 270 ft
therefore
the surface area = 12 + 270
= <u>282 ft</u>
I think that I am right