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jonny [76]
3 years ago
15

Find the perimeter of this figure. Please show work. ​

Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

Answer:

  40.56 ft

Step-by-step explanation:

The perimeter is the sum of the lengths of the "sides" of this figure. Starting from the left side and working clockwise, the sum is ...

  P = left side (8 ft) + top side (10 ft) + semicircle (1/2×8 ft×π) + bottom side (10 ft)

  = 28 ft + 4π ft

  = (28 +12.56) ft

  P = 40.56 ft

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The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution
ankoles [38]

Answer:

a) Normal Distribution

b) 0.146

c) 0.070

Step-by-step explanation:

We are given the following information in the question:

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4

a) \bar{x}: mean number of accidents per week at the intersection during a year (52 weeks)

According to central limit theorem, as the sample size becomes larger, the distribution of mean approaches a normal distribution.

Since we have a large sample, the approximate distribution of \bar{x} is a normal distribution with

\text{Mean} = 2.2\\\text{Standard Deviation} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1.4}{\sqrt{52}} = 0.19

b) P(mean is less than 2)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(x > 610)

P( \bar{x} < 2) = P( z < \displaystyle\frac{2 - 2.2}{0.19}) = P(z < -1.052)

Calculation the value from standard normal z table, we have,  

P(\bar{x} < 2) = 0.146

c) P(fewer than 100 accidents at the intersection in a year)

P(x < 100)

P( \bar{x} < \frac{100}{52}) =P(\bar{x} < 1.92) =P(z < \displaystyle\frac{1.92 - 2.2}{0.19}) = P(z < -1.473)

Calculation the value from standard normal z table, we have,  

P(x

7 0
3 years ago
The population of bald eagles is decreasing 4% each year. In 2015, there were 2800 bald eagles.
Vladimir [108]

Answer:

1120 Eagles

Step-by-step explanation:

If the population of Eagles decreases by 4% percent each year, then in 2030 (which is 15 years later), the population would decrease by (4 × 15)%

that is 60%

This indicates that the population of bald eagles in the year 2030 would be 60% less of what it was in the year 2015.

so we have, \frac{60}{100} × 2800

which gives us 1680

this means that the number of bald eagles in the year 2030 would be 1680 less than the number of bald eagles in the year 2015

hence 2800 - 1680

then the answer is 1120 Bald Eagles

7 0
3 years ago
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Dont really know this. Anyone wanna help.​
lord [1]

Answer:

25 degrees

Step-by-step explanation:

angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,

90 degrees - 65 degrees =  25 degrees

3 0
3 years ago
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Likurg_2 [28]

Answer:

no

Step-by-step explanation:

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Angle C would equal 59 degrees
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