Answer:
G
Step-by-step explanation:
Red marble probably currently: 12/32 = 3/8
Guess and check (using the multiple choice answers):
F: 12 + 13 / 32 + 13 = 25/45 = 5/6; does not equal 3/5
G: 12 + 18 / 32 + 18 = 30/50 = 3/5; does equal 3/5
H: 12 + 28 / 32 + 28 = 40/60 = 2/3; does not equal 3/5
J: 12 + 32 / 32 + 32 = 44/64 = 11/16; does not equal 3/5
K: 12 + 40 / 32 + 40 = 52/72 = 13/18; does not equal 3/5
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:
(a) The continuously compounding account
(b) $1.39
Step-by-step explanation:
(a) At identical interest rates, continuous compounding will yield the greatest account balance when compared to periodic forms of compounding (i.e., yearly, quarterly, monthly, weekly, etc.).
(b) By compounding interest monthly, Gregory's account balance will be $6,291.61 after 10 years. By compounding interest continuously, his balance will be $6,293.00. Therefore, by choosing the continuously compounding account, he will earn $1.39 more over 10 years.
The first part is addition.
45+m
If she spend a third of it, you could multiply by 1/3 or divide by 3.
Multiply: 45+m x 1/3
Divide: 45+m/3
I can help you if you want.
