Answer: a. 0.14085
b. 3.826 x 
c. 0.5437
d. 0.0811
Step-by-step explanation:
Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , 
= $527
Given standard deviation , 
= $160
Let X = amount spent on a randomly selected child
Also Z = 
a. Probability(X>$700) = P( > 
) = P(Z>1.08125) = 0.14085 {Using Z % table}
b. P(X<100) = P( Z < 
) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x
c. P(450<X<700) = P(X<700) - P(X<=450)
P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592
P(X<=450) = P(Z<= 
) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155
So final P(450<X<700) = 0.8592 - 0.3155 = 0.5437
d. P(X<=300) = P(Z<= 
) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811
All the above probabilities are calculated using Z % table along with interpolation between two values.
Answer:
-14.5
Step-by-step explanation:
6.5 * -3 = -14.5
- * + = -
Answer:
1. 44 + 3x
2. 2y - 8
3. x - 6
15. 
16. 
17. 
Step-by-step explanation:
1. 7² + 2² - 5 - 4 + 3x
49 + 4 - 5 - 4 + 3x
53 - 5 - 4 + 3x
48 - 4 + 3x
44 + 3x
2. - y - 5 + y + 2(2y-y) - 3
-y - 5 + y + 4y - 2y -3
-y - 5 + 5y - 2y - 3
4y - 2y - 5 - 3
2y - 8
3. 5x -3 - x - 3(x + 1²)
5x - 3 - x - 3x - 3
4x - 3x - 3 -3
x - 3 -3
x - 6
15. 
= 
= 
= 
→
16. 
= 
= 
= 
→ 
→
17. 
= 
= 
= 
→
Hope this helps.
(3 1/2+8 2/3)-3 5/6
= 1.898717
(10 1/4 - 5 5/8)-1 3/8
= -5.221721
(2 2/3+ 4 5/6)+3 3/8
= 9.795734
Answer:
4:1 or 4/1
Step-by-step explanation:
Original surface area: Each side is 1 * 1 = 1 and there are 6 sides, so 1 * 6 = 6.
New surface area: Each side is 2*2 = 4, and there are 6 sides, so 4 * 6 = 24
The ratio would be 24:6, or 4:1. As a fraction, this would be 4/1
