Answer:
C. He should run a T-test, and approximating it with a normal distribution would be inappropriate.
Step-by-step explanation:
We are told that the standard deviation is unknown.
Now in statistics, when we know the standard deviation, then we use a Z-test but when we don't know the standard deviation, then we will use a t-test.
Now, the t-test assumes a normal distribution for difference in mean of samples but it doesn't assume so for population.
Thus, we will run a t-test and doesn't need to approximate with a normal distribution.
Multiply both sides by 3 to cancel out the 3 in the denominator of the left side of the equal sign. You get:
x + 4 = 18
Now subtract 4 from both sides to get variables one side, constants on the other.
x = 18 - 4
x = 14
Your answer is x = 14
Top:
36 + 2(3)
36 + 6
☆42
bottom:
36 - 4(2)(3)
36 - 24
☆12
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15
÷
This problem is hard to do with mixed numbers, so we need to turn 15
into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra
.
(15×6)+1
90+1
91
So, our improper fraction would be
, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D