Answer:
The probability that the man is greater than 74 inches is 0.1587
Step-by-step explanation:
The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values
The standard normal variate factor (Z) is given by

where
is mean of the data
is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals
0.1587
Answer:
Keisha has 1/8th of the sandwich that she brings back.
Step-by-step explanation:
To start, take a whole sandwich and subtract the 1/2 she left at home and the 3/8 that her family ate.
1 - 1/2 - 3/8 = Leftover
We also need to give them common denominators to complete the action.
8/8 - 4/8 - 3/8 = Leftover
1/8 = Leftover
Answer:
- $85,000 at 6.25%
- $65,000 at 6.00%
Step-by-step explanation:
Let x represent the amount invested at 6.25%. Then the total interest earned is ...
0.0625x + 0.0600(150,000 -x) = 9212.50
0.0025x = 212.50 . . . . . . subtract 9000, collect terms
x = 212.50/0.0025 = 85,000
150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate
$85,000 is invested at 6.25%; $65,000 is invested at 6%.
Answer:
$4200
Step-by-step explanation:
12% of 35000, because it's between 9,526 and 38,700.
That is .12 * 35000 = $4200