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Lady bird [3.3K]
2 years ago
11

A company is planning to hire 12 new employees a simulation is run to determine 12 random birthdays using numbers to represent t

he days of the year (january 1 = 1 through december 31 = 365) based on the simulation what is the probability that a randomly selected employee will have a birthday in the first 100 days of the year?
344 180 274 358 64 121 32 96 151 275 93 49
(Please help and tell me how I do this)
Answers are
0.417
0.583
0.333
0.120
Mathematics
2 answers:
miss Akunina [59]2 years ago
7 0
In order to do this problem and solve it efficiently we need to recognize out of these 12 employees how many have a birthday in the first 100 days of the year

after calculating you should get that 5 out of the 12 of these employees have birthdays in the first hundred days of the year

the rest is simple

simply divide 5/12 and you should get 0.41
16 (with a bunch of sixes)

go ahead and round up to 0.417 and that should lead you to your answer

so the correct answer is a: 0.417
Andre45 [30]2 years ago
4 0

344 180 274 358 64 121 32 96 151 275 93 49

Out of the 12 numbers above, 5 (in bold type) are 100 or less.

5/12 = 0.41666...

Answer: 0.417

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An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c
Gnoma [55]

Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

   and 50 cents each

3. x represent the number of light fixtures and y represent her

  total profit

Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents =  dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

∵ Her profit is $y

∴ y = 100 - 2.5 x

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

4 0
2 years ago
A ball is thrown from a height of 43 meters
AveGali [126]
When the ball will hit the ground, the height will be zero. So we need to replace h with 0 in our equation, and solve for t:
0=43-4t-5t^{2}
-5t^{2}-4t+43=0
To solve this equation we are going to use the quadratic formula: t= \frac{-b(+/-) \sqrt{b^{2}-4ac} }{2a}.
From our height equation, we can infer that a=-5, b=-4, and c=43. So lets replace those values in our quadratic formula to find t
t= \frac{-(-4)(+/-) \sqrt{(-4)^{2}-4(-5)(43)} }{2(-5)}
t=- \frac{5}{8} - \frac{ \sqrt{713} }{8} or t=- \frac{5}{8} + \frac{ \sqrt{713} }{8}
t=-3.96 or t=2.71
Since time cannot be negative, t=2.71 is the solution of our equation.

We can conclude that the ball will hit the ground after 2.71 seconds.
4 0
2 years ago
A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample
8090 [49]

Answer:

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first random sample size n₁ = 500</em>

Given  Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

<em>First sample proportion </em>

<em>                              </em>p^{-} _{1} = \frac{65}{500} = 0.13

<em>Given second sample size n₂ = 700</em>

<em>Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.</em>

<em>second sample proportion </em>

<em>                              </em>p^{-} _{2} = \frac{133}{700} = 0.19

<em>Level of significance = α = 0.05</em>

<em>critical value = 1.96</em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Null hypothesis : H₀: There  is no significance difference between these proportions</em>

<em>Alternative Hypothesis :H₁: There  is significance difference between these proportions</em>

<em>Test statistic </em>

<em></em>Z = \frac{p_{1} ^{-}-p^{-} _{2}  }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<em></em>

<em>where </em>

<em>         </em>P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2}  }{n_{1}+ n_{2}  } = \frac{500 X 0.13+700 X0.19  }{500 + 700 } = 0.165<em></em>

<em>        Q = 1 - P = 1 - 0.165 = 0.835</em>

<em></em>Z = \frac{0.13-0.19  }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }<em></em>

<em>Z =  -2.76</em>

<em>|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected at 0.05 level of significance</em>

<em>Alternative hypothesis is accepted at 0.05 level of significance</em>

<u><em>Conclusion:</em></u><em>-</em>

<em>There is there is a difference between these proportions at α = 0.05</em>

3 0
2 years ago
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
Write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3
Vitek1552 [10]
<h2>Answer with explanation:</h2>

To write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3

Let n be the number, then -3 < n ≤3 .

On number line we mark open circle at -3 (since it has a strictly less than sign) and a closed circle at 3  (since it has a less than and equal to sign) .

To the required inequality that shows all the numbers greater than (−3) but less than or equal to 3 : -3 < n ≤3 and the number line is represented below.

8 0
2 years ago
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