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2 years ago

HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!

1 answer:

5 0

Since Paula left home an hour ago driving at 40mph, it means she has already gone 40 miles by the time Dan left. Dan is driving at 50mph, which is 10 greater than 40. This means that every hour, Dan will drive 10 more miles than Paula, lessening their difference by 10. 40 divided by 10 is 4, so iit will take Dan 4 hours to catch up to Paula:)

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Assume that the engine component of a spacecraft consists of two engines in parallel. If the main engine is 95% reliable, the ba

rodikova [14]

Answer:

a) 0.04

b) 0.19

c) 0.01

d) 0.8

Step-by-step explanation:

Hi,

Let's make our data, considering two rules of probability:

The total probability of any event is 1.
Percentages are converted to decimal.

P(M) = 0.95
P(M')=0.05
P(B)=0.80
P(B')=0.20

- where M → Main Engine works, B → Back Up Engine works, M' → Main Engine will not work and B' → Back Up Engine will not work.

<em>Remember for cases with </em><em>and, </em><em>we multiply; for cases with </em><em>or</em><em>, we use addition.</em>

<em />

a) For this part, we know that Main Engine will work and Back-up engine will not work:

P(M' and B): 0.05 x 0.80 = 0.04

b) Back up will not work and Main will work:

P(M and B') = 0.20 x 0.95 = 0.19

c) We know the probability of entire component working, which is 0.99.

So to find the probability of entire component failing, we need to subtract 0.99 from 1. <em>(Since the total probability is always 1)</em>

P(Entire component will fail) = 1 - 0.99 = 0.01

d) This is a typical case of conditional probability, to calculate a conditional probability we use the following formula: $P(A|B) = \frac{P(A\ and\ B)}{P(B)}$

Where, $P(A|B)$ means the probability of A, given B.

Simply using this, we calculate the $P(B|M')$ :

$P( B\ and\ M') = 0.04$ <em>(as calculated in part a)</em>

<em /> $P(M')=0.05$ <em> (as calculated for the data)</em>

<em />

Modifying the formula to our needs:<em> </em> $P(B|M') = \frac{P(B\ and\ M')}{P(M')}$ <em />

⇒ $P(B|M') = \frac{0.04}{0.05} = 0.80$ Ans.

I hope this answers all your queries.

8 0

2 years ago

A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at

Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100 taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and $\sigma =15$

For N=100

<h3>The formula for standard error is $SE_{mean}=\frac{\sigma}{\sqrt{N}}$ </h3>

Substitute the values in the above formula we get

$SE_{mean}=\frac{15}{\sqrt{100}}$

$=\frac{15}{10}$

$=1.50$

∴ $SE_{mean}=1.50$

<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>

7 0

2 years ago

Least to greatest 1/5 2/3 5/8

DanielleElmas [232]

To order these, it's easiest to find their decimal to better understand their value:

1/5 = 0.2
2/3 = 0.66666...
5/8 = 0.625

now order them from least to greatest. 0.2 is your smallest decimal here, followed by 0.625, and 0.66666 is last. change them back to fraction form: 1/5, 5/8, 2/3. this is the order from least to greatest.

8 0

2 years ago

What is 3.81704*10^5?

myrzilka [38]

Answer: 381704, because math

5 0

2 months ago

. Classify each random variable as either discrete or continuous. a. The time between customers entering a checkout lane at a re

Artemon [7]

Answer:

a. The time between customers entering a checkout lane at a retail store - Continuous

b. The weight of refuse on a truck arriving at a landfill - Discrete

c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous

d. The number of clerical errors on a medical chart - Continuous

e. The number of accident-free days in one month at a factory - Discrete

Step-by-step explanation:

A discrete variable is one whose value can be counted or it is a countable variable while continuous variable is not countable and hence it is measured.

a. The time between customers entering a checkout lane at a retail store - Continuous

b. The weight of refuse on a truck arriving at a landfill - Discrete

c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous

d. The number of clerical errors on a medical chart - Continuous

e. The number of accident-free days in one month at a factory - Discrete

8 0

2 years ago