Answer:
a. 81.5%
Step-by-step explanation:
The z-score for 400 is ...
Z = (X -μ)/σ = (400 -500)/100 = -1
The z-score for 700 is ...
Z = (700 -500)/100 = 2
The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...
(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A
Answer:
$1095
Step-by-step explanation:
15/100×7300
cancel the two zeros after the number 100 and 73= 15/1×73=1095
Answer:
The type of transformation that is used here is translation. Translation is when one shape slides to another location. According to the picutre, the shape is the same size and not rotated. Therefore, it is a translation.
(25 - 10.81) - 1.38p = 10
p = package of peanuts
25 - 10.81 = 14.19
14.19 - 1.38p = 10
Subtract 14.19 from each side
10 - 14.19 = -4.19
-1.38p = -4.19
Divide both sides by -1.38
p = 3 (roughly, but because you can only buy the whole package, this is the amount you can buy)
He can buy a maximum of 3 packages of peanuts.
2y=29+3
2y=32
Y=32/2
Y=16
Hope that is right
