You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.
S=16t^2
if t=3
So you would plug it in
16(3)^2
Then you multipy
16*3^2
=144
It is easier if you use a calculator just type in ti 30 calculator online that should help
Answer:
Test statistic = -2.25
P-value = 0.0199
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 450 gram
Sample mean,
= 441 grams
Sample size, n = 16
Alpha, α = 0.05
Sample variance = 256

First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Degree of freedom =

We can calculate the p-value from the table as:
P-value = 0.0199
Conclusion:
Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support the claim that the machine is under filling the bags .
Answer:
$1.5b - $32.76 = $292.74
Step-by-step explanation:
Profit = total revenue - total cost
total revenue = price per unit x total unit of bracelet sold
total revenue = $1.50 x b = $1.50b
b = total units of bracelets sold
total cost = $32.76
$1.5b - $32.76 = $292.74
Answer:
32.8
Step-by-step explanation:
Since the angles given are 90 degrees and 57.2 you can add those together then subtract them from 180 to find the answer 32.8.
180 - 90 + 57.2 = 32.8