Answer: t=13
Step-by-step explanation:
Answer:
29.2
Step-by-step explanation:
Mean = 21.4
Standard deviation = 5.9%
The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.
The Z- score formula is given as:
z = x - μ /σ
Z score ( z) is determined by checking the z score percentile of the normal distribution
In the question we are told that it is the students who scores are in the top 9%
The top 9% is determined by finding the z score of the 91st percentile on the normal distribution
z score of the 91st percentile = 1.341
Using the formula
z = x - μ /σ
Where
z = z score of the 91st percentile = 1.341
μ = mean = 21.4
σ = Standard deviation = 5.9
1.341= x - 21.4 / 5.9
Cross multiply
1.341 × 5.9 = x - 21.4
7.7526 = x -21.4
x = 7.7526 + 21.4
x = 29.1526
The 91st percentile is at the score of 29.1526.
We were asked in the question to round up to the nearest tenth.
Approximately, = 29.2
Step-by-step explanation:
You can clearly eliminate 0.79d as an answer, because that is less than the amount that Ron's class donated. The last answer is also incorrect, because it states that Danny's class donated 21 more cents than Ron's class. The problem says that Danny's class donated 21% more than Ron's. The only way that d + 0.21 would be correct is if Ron's class donated $1. The problem does not say that. Therefore, we are left with two possibilities. The first choice is the correct one. Why?
21% more than Ron's class' donation would be the amount that Ron's class donated + an additional 21%. If Ron's class donated d dollars, then an additional 21% would be 0.21 * d = 0.21d. Hence, Danny's class donated a total of:
d + 0.21d = d(1 + 0.21) = 1.21d
Three hundred nine million ninety nine thousand nine hundred and ninety.
Answer:
There are twelve 12 bottles in one full box.
Step-by-step explanation:
From the given information:
suppose there are 9 water bottles in the refrigerator,
and 3 full boxes of water are being added, we do not know the total number of bottles in a box, so let's represent it by b
i.e. 3b
However, two more boxes are being added which had 1 fewer bottle than the full box.
i.e. 2(b-1)
Now to determine the number of bottles in a full box, we have:
9 + 3b +2(b-1) = 67
9 + 3b + 2b - 2 = 67
5b + 7 = 67
5b = 67 - 7
5b = 60
b = 60/5
b = 12
Hence, there are twelve 12 bottles in one full box.
