Answer:
The loan was for 9 months only
Step-by-step explanation:
In this question, we are concerned with calculating the time taken for a loan om an interest to be paid back
To calculate this, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the principal which is the amount borrowed and that is $500 according to the question
R is the rate which is 8% according to the question
Interest can be calculated by subtracting the principal from the amount paid back = 530-500 = 30$
We now plug these values into the equation
30 = (500 × 8× T)/100
100 × 30 = 4000T
T = 3000/4000
T = 0.75 (same as 0.75 × 12 months = 9 months)
Answer:
The owner makes $2 in sales per customer
Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.
Step-by-step explanation:
If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.
i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.
Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean,
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
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,
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
<span>To find out what percent 7 out of 20 is, we
need to ask: 7 out of 20 is how many out of 100? 5 groups of 20 make
100, so 7 out of 20 is 35 out of 100 (5 x 7 out of 5 x 20). Therefore 7/20 equals 35%, or 0.35 if we represent it as a decimal. I hope this helps</span>
J is correct. the scale is balanced, so x = 1. there are 9 1’s on the right, and 6 1’s on the left. there are 3 more blocks, and they would have to each be 1.