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maks197457 [2]
4 years ago
12

Evaluate the expression 14C2

Mathematics
1 answer:
lisabon 2012 [21]4 years ago
5 0
\bf _nC_r= \cfrac{n!}{r!(n-r)!}\qquad \qquad _{14}C_2=\cfrac{14!}{2!(14-2)!}
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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
8) Sumeya bought 2 packs of scrunchies for $31.75. How much
frutty [35]
Divide $31.75 by 2 to find out the cost for 1 pack. Then multiply that total times 3 to get the total for 3 packs.

31.75/2 = 15.875

15.875 x 3 = 47.625, rounded to $47.63
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3 years ago
What is the value of the 6 in the number 346 094?​
Anuta_ua [19.1K]

Answer:

<h3>The place value of 6 in the number 346 094 is Thousand.</h3>

Step-by-step explanation:

<h3>I hope it helps ❤❤</h3>
8 0
3 years ago
Read 2 more answers
What is 5*5<br> Please explain thank you
raketka [301]

Answer:

25

Step-by-step explanation:

you count by 5, 5 times

1. 5 +

2. 5 +

3. 5 +

4. 5 +

5. 5 +

= 25

8 0
4 years ago
Read 2 more answers
Triangle ABC has the following angle measures:
s2008m [1.1K]

The measure of angle A in the triangle is 18°

<h3>How to determine the measure of angle A?</h3>

The angles in the triangle are given as:

m∠A = (2x − 24)°, m∠B = (x + 8)°, m∠C = (4x + 49)°

The sum of angles in a triangle is 180

So, we have

m∠A + m∠B + m∠C = 180

Substitute the known values in the above equation

So, we have:

2x − 24 + x + 8 + 4x + 49 = 180

Evaluate the like terms

7x = 147

Divide both sides by 7

x = 21

Substitute x = 21 in m∠A = (2x − 24)°

m∠A = (2 * 21 − 24)°

Evaluate

m∠A = 18°

Hence, the measure of angle A in the triangle is 18°

Read more about triangles at:

brainly.com/question/1675117

#SPJ1

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2 years ago
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