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denis-greek [22]
3 years ago
5

6. Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random vari

able with a mean of 180 and a standard deviation of 20. a) With what probability can we assert that there will be between 120 and 240 passengers
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

99.7%

Step-by-step explanation:

Mean number of passengers (μ) = 180 passengers

Standard deviation (σ) = 20 passengers

The number of standard deviation from the mean for the lower and upper bounds of the 120 to 240 passengers intervals are:

L = \frac{180-120}{20} =3\\U = \frac{240-180}{20} =3

Therefore, all of the data is within 3 standard deviations from the mean. According to the empirical rule, 99.7% of the data is within 3 standard deviations from the mean. Therefore, we can assert with a 99.7% probability  that there will be between 120 and 240 passengers.

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25 is what percent less than 35
mars1129 [50]
Difference between 25 and 35 = 35 -25
                                                 = 10
Then
percentage by which 25 is less than 35 =(10/35) * 100
                                                                 = (2/7) * 100
                                                                 = 200/7
                                                                 = 28.57 percent
So 25 is 28.57% less than 35.This is the only clear way of solving these kind of problems. I hope you have understood the method used to solve this problem. Hopefully you can do such type of problems without needing any help.
8 0
3 years ago
Read 2 more answers
Mr. Deveney bought 4 DVDs for $25.20. What was the price per DVD?
ollegr [7]

Answer:

$6.30 per DVD

Step-by-step explanation:

25.20/4= 6.3

7 0
3 years ago
You have to pay $32.75 for an item after a 25% markup. What was the original price?
stepan [7]
It should be around 24.56 i rounded tho
7 0
3 years ago
The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

Ratio = 3 : 10 : 7

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

S_1 = \frac{3}{3 + 10 + 7} *180

S_1 = \frac{3 *180}{20}

S_1 = \frac{540}{20}

S_1 = 27

The side with ratio 10 is:

S_2 = \frac{10}{3 + 10 + 7} *180

S_2 = \frac{10 *180}{20}

S_2 = \frac{1800}{20}

S_2 = 90

Lastly:

The side with 7 as its ratio

S_3 = \frac{7}{3 + 10 + 7} *180

S_3 = \frac{7 *180}{20}

S_3 = \frac{1260}{20}

S_3 = 63

Hence, the angles are: 27, 90 and 63

5 0
3 years ago
1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang
lana66690 [7]

Answer:

h=\frac{\sqrt{3}}{2}b\ units    

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)

see the attached figure to better understand tyhe problem

Let

h ----> the height of an equilateral triangle

b ---> the length side of an equilateral triangle

In the right triangle ABD

Applying the Pythagorean Theorem

AB^2=AD^2+BD^2

substitute the given values

b^2=(\frac{b}{2})^2+h^2  

b^2=\frac{b^2}{4}+h^2

h^2=b^2-\frac{b^2}{4}

h^2=\frac{3}{4}b^2

square root both sides

h=\frac{\sqrt{3}}{2}b\ units      

7 0
3 years ago
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