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bija089 [108]
2 years ago
5

a family has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity

that the mom is at the front of the line
Mathematics
2 answers:
AysviL [449]2 years ago
4 0
The probability is 1/5 or a 20% chance.
Zolol [24]2 years ago
4 0

Answer: \dfrac{1}{5}

Step-by-step explanation:

Given : A family has five members: a mom, a dad, two sisters, & a brother.

If the family lines up single file, then the number of persons can be at the front of the line = 5

Now, the probability that the mom is at the front of the line :-

\dfrac{\text{desired outcomes}}{\text{total outcomes}}\\\\=\dfrac{1}{5}

Hence, the probability that the mom is at the front of the line= \dfrac{1}{5}

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James is the manager at an entertainment arena that draws an average 7,000 patrons per event. Each ticket taker can process 350
Elina [12.6K]

Answer:

No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.

He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.

Step-by-step explanation:

Given:

Average amount of patron per event= 7000

Each ticket taker can process = 350

Number of ticket takers hired = 18

We need to find the whether he hire enough to process the average number of patrons that usually attend the events.

Solution:

We will find the Average amount of patron ticket takers can process.

Now we can say that

Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.

framing in equation form we get;

Average amount of patron ticket takers can process = 350 \times 18 = 6300\ patrons

Hence With the required hires James cannot fully process the patrons usually attending the event.

To find how many ticket takers required we will divide average number of patrons with  Each ticket taker can process.

framing in equation form we get;

ticket takers required = \frac{7000}{350}=20

hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.

6 0
2 years ago
Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square y
svetoff [14.1K]
Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.

We find the angle made at the opposite of the 45 yd side using the sine rule as follows.
\frac{\sin{A}}{a} =  \frac{\sin{B}}{b}  \\  \frac{\sin{25^o}}{20} = \frac{\sin{B}}{45}  \\ \sin{B}= \frac{45\sin{25^o}}{20} = \frac{19.0178}{20} =0.9509 \\ B=\arcsin{(0.9509)}=71.97^o

Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.

We also use the sine rule to find the third side of the triangle as follows.
\frac{\sin{A}}{a} = \frac{\sin{C}}{c} \\ \frac{\sin{25^o}}{20} = \frac{\sin{83.03^o}}{c} \\ c= \frac{20\sin{83.03^o}}{\sin{25^o}} = \frac{19.8522}{\sin{25^o}} =46.97 yds

Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds
6 0
2 years ago
Read 2 more answers
The product of three integers is −5. Determine all of the possible values for the three factors.
tensa zangetsu [6.8K]
-1,1,5
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1,1,-5
6 0
2 years ago
Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot
patriot [66]

Answer:

  8r^4

Step-by-step explanation:

  \sqrt{64r^8} =\sqrt{(8r^4)^2}=\boxed{8r^4}

5 0
2 years ago
Angela drove 82 miles on Monday. She drove 94 on Tuesday. To the nearest hundred, how many miles did Angela drive over the two d
inessss [21]
You just simply add
82+94= 166
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2 years ago
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