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Svetlanka [38]
2 years ago
13

In a hockey club there are 5% more boys than there are girls. If there is a total of

Mathematics
1 answer:
Degger [83]2 years ago
5 0
Determine the percentage of boys and the percentage of girls in the club.
For an instance, pb stands for percentage of boys, and pg stands for percentage of girls.
pb + pg = 100%

There are 5% more boys, pb = pg + 5%
Input to the previous equation to find the percentage of the girls
pb + pg = 100%
pg + 5% + pg = 100%
2pg + 5% = 100%
2pg = 100% - 5%
2pg = 95%
--------------- divide each side by 2
pg = 47.5%

Substitute the percentage of girls to either equations to find the percentage of the boys
pb = pg + 5%
pb = 47.5% + 5%
pb = 52.5%

Find the number of the boys and the girls
The boys
b = pb × total members
b = 52.5% × 246
b = 0.525 × 246
b = 129.15
Because the number of people couldn't be a fraction, round to the nearest whole number
b = 129

The girls
g = total - b
g = 246 - 129
g = 117

There are 129 of boys, and 117 of girls
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<span>A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
***
let x=original speed
x+5=increased speed
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..
lcd:x(x+5)
150(x+5)-150x=x(x+5)
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What is the train’s original speed? 25 mph</span>
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List 3 rational numbers between 3 and 3.9
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Answer:

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Step-by-step explanation:

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Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression rep
gregori [183]

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

<em><u>Solution:</u></em>

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x

Thus amount earned in second week = 1.05x dollars

<em><u>The total amount earned in both weeks:</u></em>

Total amount = Amount earned in first week + Amount earned in second week

Total\ Amount = x + 1.05x = 2.05x

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

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Maria is on a hike if she hikes to the scenic lookout on the following map first
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1.8

Step-by-step explanation:

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The number of people that enter a drugstore in a given hour is a Poisson random variable with parameter λ = 10. Compute the cond
Nonamiya [84]

Answer:

The probability is 0.2650

Step-by-step explanation:

Let's start assuming that men and women come in at the same rate.

Let's define the following random variables :

X : ''Number of people that enter a drugstore''

M : ''Number of men that enter a drugstore''

W : ''Number of women that enter a drugstore''

The number of people will be the number of men plus the number of women

⇒

X = M + W

We are also assuming that M and W are independent random variables.

X ~ Po (10)

M ~ Po (λ1)

W ~ Po (λ2)

λ1 = λ2 because we assumed that men and women come in at the same rate.

λ1 = λ2 = λ

λ1 + λ2 = λ + λ ⇒ 2λ = 10 ⇒ λ = 5

M ~ Po (5)

W ~ Po (5)

Because X is the sum of two independent Poisson random variables.

We are looking for :

P(M\leq 3/W=10)=P(M\leq 3)

Because we assume independence.

P(M\leq 3)= P(M=0)+P(M=1)+P(M=2)+P(M=3)

P(M=m)=\frac{5^{m}}{m!}e^{-5} because is a Poisson random variable with λ = 5

P(M\leq 3)=\frac{5^{0}}{0!}e^{-5}+\frac{5^{1}}{1!}e^{-5}+\frac{5^{2}}{2!}e^{-5}}+\frac{5^{3}}{3!}e^{-5}

P(M\leq 3)=e^{-5}+5e^{-5} +(\frac{25}{2})e^{-5} +\frac{125}{6}e^{-5}=0.2650

P(M\leq 3)=0.2650

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