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tankabanditka [31]
2 years ago
5

Solve for the missing side. 4) 12 mi X 15 mi

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
5 0
The equation is a^2 + b^2 = c^2 and the long slanted side is always c so
12 + b^2 = 15
So using the equation a^2 + b^2 = c^2 and the transverse property the answer is 1.732
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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52.
Roman55 [17]

Answer:

The percentage of the women have size shoes that are greater than

9.94 is 16%

Step-by-step explanation:

* <em>Lets revise the empirical rule</em>

- 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  

* <em>The empirical rule shows that</em>

# 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).

* <em>Lets solve the problem</em>

- 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

- <u><em>One standard deviation (µ ± σ):</em></u>

∵ (8.42 - 1.52) = 6.9

∵ (8.42 + 1.52) = 9.94

- <u><em>Two standard deviations (µ ± 2σ):</em></u>

∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38

∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46

- <u><em>Three standard deviations (µ ± 3σ):  </em></u>

∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86

∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98

- <em>We need to find the percent of American women have shoe sizes </em>

<em>   that are greater than 9.94</em>

∵ 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

- <em>That means we need the area under the cure which represents more</em>

<em>   than one standard deviation (more than 68%)</em>

∵ 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%

8 0
3 years ago
A construction company needs to remove 2 1/6 tons of dirt from a construction site. They can remove 7/8 tons of dirt each hour.
raketka [301]
The answer is 4.

Hope I helped :)
3 0
3 years ago
1. Find the area of the parallelogram.
I am Lyosha [343]

Answer:

Step-by-step explanation:

Formula

Area = B * h

Givens

Base = 2.5

height = 5.25

Solution

You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.

Area =  2.5 * 5.25

Area = 13.125

Answer: Area = 13.125 or 13 1/8

5 0
2 years ago
Jerome's rain gauge showed 13 9/10 centimeters at the end of last month. At the end of this month, the rain gauge showed 15 3/10
nexus9112 [7]
<span>Jerome’s rain gauge shows that there’s 13 9/10 centimeter at the end of last month.
=> for the end of this month, it shows 15 3/10 centimeters.
The question is, how manu centimeter of rain added for this month according to Jerome’s gauge.
=> 15 3/10 cm (this month’s rain measurement)
=> 13 9/10 cm (last month’s rain measurement)
Subtract both numbers.
=> 15 3/10 – 13 9/10
=> convert this first to improper fraction
=> 153/10 – 139/10
=> 14/10
=> 1 4/10 the rain added to for this month

</span>



3 0
3 years ago
Read 2 more answers
Simplify 4j+7+2j-2+3j
Dmitriy789 [7]

Answer:

6j+7-2+3j= 3j and 5

Step-by-step explanation:

fnxhjxjxjxhdhdhxhsh

7 0
3 years ago
Read 2 more answers
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