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sergey [27]
4 years ago
13

Need help with easy/quick probability problems. Do 1-6 and explain how to do one of them

Mathematics
1 answer:
alexandr1967 [171]4 years ago
8 0

Answer:

P(algebra, then statistics) = 7/80

Step-by-step explanation:

The total number of books is 7 + 8 + 5 = 20.

1. P(algebra, then statistics)

The probability that the first book is an algebra book is 7/20.

Carlos then replaces the book, so the total is still 20.

The probability that the second book is a statistics book is 5/20.

Therefore, the total probability is:

P(algebra, then statistics) = 7/20 × 5/20

P(algebra, then statistics) = 7/80

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The time taken to prepare the envelopes to mail a weekly report to all executives in a company has a normal distribution, with a
telo118 [61]

Answer:

Mailing preparation takes 38.29 min max time to prepare the mails.

Step-by-step explanation:

Given:

Mean:35 min

standard deviation:2 min

and 95%  confidence interval.

To Find:

In normal distribution mailing preparation time  taken less than.

i.eP(t<x)=?

Solution:

Here t -time and x -required time

mean time 35 min

5 % will not have true mean value . with 95 % confidence.

Question is asked as ,preparation takes less than  time means what is max time that preparation will take to prepare mails.

No mail take more time than that time .

by Z-score or by confidence interval is

Z=(X-mean)/standard deviation.

Z=1.96 at  95 % confidence interval.

1.96=(X-35)/2

3.92=(x-35)

X=38.29 min

or

Confidence interval =35±Z*standard deviation

=35±1.96*2

=35±3.92

=38.29 or 31.71 min

But we require the max time i.e 38.29 min

And by observation we can also conclude the max time from options as 38.29 min.

4 0
3 years ago
-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
blagie [28]

Answer:

From least to greatest, the correct order is: -\frac{157}{20}; -7.666....; -7.64; and \sqrt{50}.

Step-by-step explanation:

Since \sqrt{50} is the only positive number, that means that it will be the greatest number on the list. -\frac{157}{20} is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is -\frac{157}{20}; -7.666...; -7.64; and \sqrt{50}.

4 0
3 years ago
If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
Svetradugi [14.3K]

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

8 0
3 years ago
A toy rocket was launched from the ground. The function f(x) = -16x² + 160x shows the height of the rocket f(x), in feet, from t
Harman [31]
The answer is D. All you have to do is graph the equation, and you will have the vertex and the roots. By the way, you can rule out B and C because those two do not follow the rules of a quadratic. Also, A and B have the wrong axis of symmetry, because the rocket lands after 10 seconds.
6 0
3 years ago
What is the y-intercept and slope of 3x-5y=15
vlada-n [284]

Answer:

Slope= 3/5

y-intercept= -3

Step-by-step explanation:

3 0
3 years ago
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