<u>Answer</u>: If 15% of the customer's total is $22.05, then the customer's total is <u>$147</u>.
<u>Step-by-step explanation</u>:
Let x be the customer's total amount.
It is given that 15% of the customer's total = $22.05
⇒15% of x= $22.05

Therefore, If 15% of the customer's total is $22.05, then the customer's total is <u>$147</u>.
When the ball will hit the ground, the height will be zero. So we need to replace

with 0 in our equation, and solve for

:


To solve this equation we are going to use the quadratic formula:

.
From our height equation, we can infer that

,

, and

. So lets replace those values in our quadratic formula to find



or


or

Since time cannot be negative,

is the solution of our equation.
We can conclude that the ball will hit the ground after
2.71 seconds.
Answer:
Each unit cost $800
Step-by-step explanation:
Annual compensation = $48,000
Annual number of units sold = 2000
Commission on each item sold = 3%
Compensation for 2000 units = $48,000
Compensation for 1 unit = $48,000/2000 = $24
Cost of one unit = compensation for one unit ÷ commission on one unit = $24 ÷ 3% = $24 ÷ 0.03 = $800
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.