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IRINA_888 [86]
3 years ago
11

Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

Step-by-step explanation:

a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569

b. <em>P(Z S-2.35)</em>  => P(Z <= 2.35) = 0.009386706

(please check interpretation of question b)

c. <em>POSZ s 1.34)</em> => P(0 <= Z <= 1.34) =  0.9098773 - 0.5 = 0.4098773

(please check interpretation of question c)

d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801

(please check interpretation of question d)

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A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 ite
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Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

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C_{n,x} = \frac{n!}{x!(n-x)!}

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N is the answer to this question
6 0
3 years ago
For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.
Contact [7]

The expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's  speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

\rm Distance = Speed \times Time

For the first part of the journey:

Distance = 80 miles

Time = \rm t_1

And Speed = s

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = \rm t_2

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}

Therefore,

Adding both the time to represent the total time of her trip in hours,

\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}

Hence, The required expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

For more details refer to the link given below.

brainly.com/question/21043759

6 0
2 years ago
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