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puteri [66]
3 years ago
15

Solve the problem.

Mathematics
2 answers:
Alika [10]3 years ago
7 0

.00003509

Hope this helps :)


Dafna11 [192]3 years ago
3 0

Answer:

Step-by-step explanation:

Combination question

Generally

nCr = n! / (n-r)!r!

The organizer want to select 5 people from 30 people

Then, the total possible selection is

30C5 = 30! / (30-5)!5!

30C5 = 30•29•28•27•26•25!/25! ×5!

30C5 = 17,100,720 /5•4•3•2

30C5 = 142,506 ways

So, there are 142,506 numbers of ways to selected them.

The group of 5 youngest persons of 30 is UNIQUE such group of 5 persons from 30, under given conditions..

if there are exactly 5 youngest people and if they were all selected, the probability is

5 / 142,506 = 0.000035086

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Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 skat
alisha [4.7K]

Answer:

This can be solved by using the empirical rule for a normal distribution.

Step-by-step explanation:

A. The number of skateboards given is one standard deviation above the mean. Approximately 68% of the data points lie within the range plus and minus one standard deviation of the mean. Therefore the required percentage is:

68 + 16 = 84%.

B. The given number of skateboards is two standard deviations above the mean. Approximately 95% of the data points lie within the range plus and minus two standard deviations of the mean. Therefore the required percentage is:

5/2 = 2.5%

C.The given number of skateboards is one standard deviations below the mean. Therefore the required percentage is:

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8 0
3 years ago
What is the 60th term of the sequence 2, -3, -8, -13?
aleksandrvk [35]

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

  an = a1 +d(n -1)

  an = 2 -5(n -1)

The 60th term is ...

  a60 = 2 -5(60 -1) = -293

4 0
3 years ago
From a point p on level ground, the angle of elevation of the top of a tree is 60°. If the tree is 39m high, how far is its base
zzz [600]
Hello,

tan 60°=√3
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5 0
4 years ago
For which value(s) of x will the rational expression below equal zero? Check all that apply.
Ivahew [28]

Answer: D.-6 and F.3

Step-by-step explanation:

The given rational number : \dfrac{(x-3)(x+6)}{(x+7)}

To find : The value of x  , where the  rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7  , \dfrac{(7-3)(7+6)}{(7+7)}=\dfrac{26}{7}\neq0

B. -7

At x= 7 ,  \dfrac{(-7-3)(-7+6)}{(-7+7)}=\dfrac{10}{0}=\infty\neq0

C. 6

At x= 6 ,  \dfrac{(6-3)(6+6)}{(6+7)}=\dfrac{36}{13}\neq0

D. -6

At x= -6 , \dfrac{(-6-3)(-6+6)}{(-6+7)}=\dfrac{0}{1}=0

E. -3

At x= -3 ,   \dfrac{(-3-3)(-3+6)}{(-3+7)}=\dfrac{-9}{2}\neq0

F. 3

At x= 3 , \dfrac{(3-3)(3+6)}{(3+7)}=0

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

8 0
3 years ago
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What is the slope of y=2+3.5
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Answer:

=

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5

Step-by-step explanation:

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