B) 7
C) 8
D) 9
The question is an illustration of divisions.
Cindy needs to buy (c) 8 packs
The given parameters are:
The number of packs is calculated by dividing the total number of invitation by the number of invitations in each pack.
So, we have:
Cindy needs 7.5 packs.
Since the packs cannot be split, Cindy must buy the closest number of packs greater than 7.5
So, we have:
Hence, Cindy needs to buy (c) 8 packs
Read more about divisions at:
The expression can be written as in terms of x after making the subject as y the expression is y = 36x + 12.
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
6 + 1/3y = 10 + 12x
To solve the above expression in terms of x make the subject y
Subtract 6 on both sides:
1/3y = 10 + 12x - 6
1/3y = 12x + 4
y = 36x + 12
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Thus, the expression can be written as in terms of x after making the subject as y the expression is y = 36x + 12.
Learn more about the expression here:
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Answer:
The percentage of the women have size shoes that are greater than
9.94 is 16%
Step-by-step explanation:
* Lets revise the empirical rule
- The Empirical Rule states that almost all data lies within 3 standard
deviations of the mean for a normal distribution.
- 68% of the data falls within one standard deviation.
- 95% of the data lies within two standard deviations.
- 99.7% of the data lies Within three standard deviations
* The empirical rule shows that
# 68% falls within the first standard deviation (µ ± σ)
# 95% within the first two standard deviations (µ ± 2σ)
# 99.7% within the first three standard deviations (µ ± 3σ).
* Lets solve the problem
- The shoe sizes of American women have a bell-shaped distribution
with a mean of 8.42 and a standard deviation of 1.52
∴ μ = 8.42
- The standard deviation is 1.52
∴ σ = 1.52
- One standard deviation (µ ± σ):
∵ (8.42 - 1.52) = 6.9
∵ (8.42 + 1.52) = 9.94
- Two standard deviations (µ ± 2σ):
∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38
∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46
- Three standard deviations (µ ± 3σ):
∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86
∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98
- We need to find the percent of American women have shoe sizes
that are greater than 9.94
∵ The empirical rule shows that 68% of the distribution lies
within one standard deviation in this case, from 6.9 to 9.94
∵ We need the percentage of greater than 9.94
- That means we need the area under the cure which represents more
than one standard deviation (more than 68%)
∵ The total area of the curve is 100% and the area within one standard
deviation is 68%
∴ The area greater than one standard deviation = (100 - 68)/2 = 16
∴ The percentage of the women have size shoes that are greater
than 9.94 is 16%
Less than 5% of American women have shoe sizes greater than 9.94.
The empirical rule states that for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations of the mean, and more than 99% falls within three standard deviations of the mean.
In this case, the mean shoe size for American women is 8.42 and the standard deviation is 1.52. To calculate the percentage of American women with shoe sizes greater than 9.94, we need to find the proportion of the data that falls above this value.
First, we calculate the number of standard deviations that 9.94 is away from the mean: (9.94 - 8.42) / 1.52 = 0.9895 standard deviations.
Based on the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since 9.94 is less than two standard deviations away from the mean, we can estimate that less than 5% of American women have shoe sizes greater than 9.94. Therefore, the percentage of American women with shoe sizes greater than 9.94 is less than 5%.
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Answer:
Step-by-step explanation:
Let find the middle point between both rationals. That is to say:
B 36 ft 10
C 12 yd 3 in.
D 12 ft 3 in.