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Vaselesa [24]
4 years ago
11

Please Answer full question below thanks

Mathematics
1 answer:
sladkih [1.3K]4 years ago
5 0

Answer:

45*

Step-by-step explanation:

180-115=65

65=angle 2

180-110=70

70=angle 1

70+65=135

180-135=45

45=angle 7

angle 7 and 6 are vertical angles so angle 6=45

angle 6 and angle 5 are an example of alternate interior angles soo

angle 5=45*

Hope I helped!

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Step-by-step explanation:

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3 years ago
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
CAN SOMEONE HELP ME WITH THIS????????????????
Lerok [7]

\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\

A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}

4 0
3 years ago
You have 1300 dollars to invest on mugs. Each mug is 2 dollars each after you put the logo you resell it for 7. Find the equatio
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Answer:

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Step-by-step explanation:

m=mugs

8 0
3 years ago
Use graph to help you answer questions 6-10. Each unit on the graph represents 0.75 miles. Round answers to the nearest tenth wh
givi [52]

Answer:

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9.   6.37 miles

10.   No, it is 7.77 miles away from his home.

Step-by-step explanation:

5 0
4 years ago
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