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labwork [276]
3 years ago
10

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i

s 130. What is the theoretical
probability of 5 students from your school being selected as contestants out of 10 possible contestant spots?
Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots?

17.9%

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What is the missing reason in the proof? Statement Reason 1. m || n and p is a transversal 1. given 2. ∠2 ≅ ∠3 2. ver. ∠s theore
Dahasolnce [82]

Answer:

See below for answer.

Step-by-step explanation:

m ∠3 = m∠ 7       If ║ then cor. ∠s are =

m ∠2 = m∠7        Transitive     ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7

8 0
3 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
3 years ago
Find the area of a circle in terms of pi with a radius of 7.4 cm.
Anit [1.1K]
A= \pi  r^{2} =\\A=\pi (7.4)^{2}=\\A=\pi (54.76)=\\A=54.76\pi
4 0
3 years ago
Read 2 more answers
a cell phone company charges an initial price of $400 for a new phone and then $50 each month after the purchase. if c (t) is a
Fed [463]

The range of the function, c(t), where the fixed cost is $400 and the monthly charge is $50 is <u>{$450, $250, ... }</u>.

<h3>What is the range of a function?</h3>

The range of a function is the complete set of all possible resulting values of the dependent variable (y) after substituting the domain.

Thus, the range is the resulting y-values after substituting all the possible x-values (domain).

In this instance, the range of the function tells us the monthly average cost.  We can see that as the months increase, the monthly average cost continues to reduce.

<h3>Data and Calculations:</h3>

Fixed initial cost = $400

Monthly charge = $50

C(t) = 400 + 50x

Domain, x = 1 to 12 (months)

Range, y = {(400 + 50), (400 + 50 x 2)/2,  (400 + 50 x 3)/3,  (400 + 50 x 4)/4, ...  (400 + 50 x 12)/12}

=  {$450, $250, ... }.

In conclusion, the range of the function, c(t) is <u>{$450, $250, ... }</u>.

Learn more about the range of a function at brainly.com/question/7954282 and brainly.com/question/1466393

#SPJ1

8 0
1 year ago
your employer pays 85 of your health insurance premium. if your premium is 5236 annually how much is your share of the premium?
Ainat [17]
The answer would be $785.40

6 0
4 years ago
Read 2 more answers
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