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Mkey [24]
3 years ago
7

Julie has 3 1 3 3 1 3 yards of fabric to make doll outfits. Each outfit requires 5 6 5 6 yard of fabric. What is the maximum num

ber of outfits Julie can make with her fabric?
Mathematics
1 answer:
slega [8]3 years ago
8 0
55
Ghgvybhb( I needed 20 characters)
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Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{225}{15} = 15

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

S.D = \sqrt{\dfrac{128}{14}} = 3.02

Empirical rule:

  • According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
  • About 68% of data lies within one standard deviation of the mean.
  • About 95% of data lies within two standard deviations of mean.
  • Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0
3 years ago
A water tank holds 18000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at anaver
kkurt [141]
It should take approximately 27 days using the water at an average of. 450 gallons per day
5 0
3 years ago
Evaluate 3x+6y when x= -3, y=6
sesenic [268]

Hey there!!!

Given equation - 3x+6y

x is given as -3

y is given as 6

Plugin these values to get the final answer

3 ( -3 ) + 6 ( 6 )

-9 + 36

= 27

27 is the final and the required answer

Hope my answer helps!

3 0
3 years ago
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A number increased by 10 is 114 answer in an equation
enyata [817]
We have to make an equation: a number increased by 10 is 114.
An equation is:
x + 10 = 114
x = 114 - 10
x = 104.

7 0
3 years ago
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Consider the graph of f(x) below.
Phantasy [73]
I've searched online on what a graph look like in each given function and based on my online search, the given image of of the equation f(x) is a CUBIC FUNCTION.

A cubic function is like this: f(x) = ax³ + bx² + cx + d

The given graph can have this equation:

y = (x + 1) (x - 1) (x - 3)
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3 years ago
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