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kodGreya [7K]
3 years ago
9

A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selecte

d from the distribution, determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.
Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0
<span>A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selected from the distribution, determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.</span>
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How many solutions does a triangle with side lengths a = 6, a equals 110 degree , and b = 10 have?
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The Answer is 0. No solution
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4 years ago
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In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha
siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95,  P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

8 0
4 years ago
a 10-foot ladder leans against a wall with its foot braced 3 feet from wall's base. how far up the wall does the ladder reach? r
andrezito [222]
Use pythagoras teorem

10^2 = 3^2 + x^2

x^2 = 100 - 9 = 91

x =  9.54 feet  to nearest hundredth
8 0
3 years ago
Keith decided to do pushups everyday as part of his exercise routine. He started to do 10 pushups today and he will be adding 3
dezoksy [38]

Answer:

55 push ups

Step-by-step explanation:

Given that:

Starting count = 10

Additional count = 3

Starting count + (additional count * number of days)

Exactly on the 3rd week = on the 15th day

10 + (3 * 15)

10 + 45

= 55 push ups

4 0
3 years ago
If gasoline costs 1.50 euros per liter it will cost how much to drive 220 kilometers
jok3333 [9.3K]

Answer:

11.79\ euros

Step-by-step explanation:

<u><em>The complete question is</em></u>

Suppose that a new​ fuel-efficient European car travels an average of 28 kilometers on 1 liter of gasoline. If gasoline costs 1.50 euros per​ liter, how much will it cost to drive 220 kilometers ?

step 1

using proportion

Find out the number of liters of gasoline needed for 220 kilometers

so

\frac{28}{1}\ \frac{Km}{L}=\frac{220}{x}\ \frac{Km}{L}\\\\x=220/28\\\\x=7.86\ L

step 2

Find the cost to drive 220 kilometers

Multiply the cost of one liter of gasoline by the total liters of gasoline needed to travel 220 Km

so

1.50(7.86)=11.79\ euros

6 0
3 years ago
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