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VARVARA [1.3K]
2 years ago
10

This year June 1 is a Friday, and June has 30 days. If there will be exactly one hail storm in June, but we have no idea on whic

h day it will happen, what is the probability it will happenon a Saturday, and ruin your day off?
Mathematics
1 answer:
Ratling [72]2 years ago
8 0

Answer:

The probability that the hail storm will happen on a Saturday is 0.1667.

Step-by-step explanation:

The month of June started on Friday.

Then June 2 is a Saturday.

Remaining 28 days.

Each week has 7 days.

There will be 4 full weeks for the month of June.

So there will be 4 more Saturdays.

Thus, there are a total of 5 Saturdays in the month of June.

Compute the probability that the hail storm will happen on a Saturday as follows:

P(hail-storm)=\frac{n(Saturdays)}{Total\ no.\ of\ days} =\frac{5}{30}= 0.1667

Thus, the probability that the hail storm will happen on a Saturday is 0.1667.

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A textbook costs $65.49 before tax. The tax on the textbook is 6.5%. What is the total cost of the textbook? Round your answer t
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65.49*0.065 = 4.26
65.49+4.26 = $69.75
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A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
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Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375
 or 37.5\%

Therefore, the option D. 37.5% is correct

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2 years ago
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Miguel ran for 850 meters and then walked for 2.75 kilometers.
olga55 [171]

Answer:

1900 meters

Step-by-step explanation:

He ran for 850 meters

Walked for 2.75 kilometers, and that's 2.75 * 1000 meters, which is 2750 meters

The total he walked more than he ran is 2750 - 850 = 1900 meters

4 0
2 years ago
How do I do this problem?
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For this problem, here’s how you do it.
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2 years ago
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During the 2015-16 NBA season, J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 . Assume th
ser-zykov [4K]

Answer: 0.5898

Step-by-step explanation:

Given :  J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 .

We assume that,

The probability that .J. Redick makes any given free throw =0.901  (1)

Free throws are independent.

So it is a binomial distribution .

Using binomial probability formula, the probability of getting success in x trials :

P(X=x)^nC_xp^x(1-p)^{n-x}

, where n= total trials

p= probability of getting in each trial.

Let x be binomial variable that represents the number of a=makes.

n= 14

p= 0.901     (from (1))

The probability that he makes at least 13 of them will be :-

P(x\geq13)=P(x=13)+P(x=14)

=^{14}C_{13}(0.901)^{13}(1-0.901)^1+^{14}C_{14}(0.901)^{14}(1-0.901)^0\\\\=(14)(0.901)^{13}(0.099)+(1)(0.901)^{14}\ \ [\because\ ^nC_n=1\ \&\ ^nC_{n-1}=n ]\\\\\approx0.3574+0.2324=0.5898

∴ The required probability = 0.5898

5 0
2 years ago
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