Answer:
100 mins
Step-by-step explanation:
total no of gallons pool can hold=4500
gallons pool already holds=1500
rate of adding water= 30 gallons per min
time he can continue filing= 4500-1500/30
=3000/30
=100 minutes (m value)
correct me if I'm wrong appreciate me if I'm good
Answer: C) 0.112
Step-by-step explanation:
In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

Given : The probability of drawing a heart from a standard deck of cards is 0.25
Here , getting heart is the success.
Then p= 0.25
For n= 20
The probability that you will draw a heart seven times i.e. x= 7:

![P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]](https://tex.z-dn.net/?f=P%28X%3D7%29%3D%5Cdfrac%7B20%21%7D%7B7%21%2820-7%29%21%7D%280.25%29%5E7%281-0.25%29%5E%7B20-7%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D)

Hence, the probability that you will draw a heart seven times = 0.112
Thus , the correct answer is C) 0.112 .
(A) Vertical angles are congruent
Write it in y= mx+b form. Subtract 5x from both sides to get 4y = -5x + 100. Divide by 4 so the answer would be y= -5/4x + 25.
Answer:
This type of transformation is a horizontal stretch.
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Step-by-step explanation:
Given


Required
Determine the type of transformation
The first function can be expressed as:

While the second function is:

Solving f(0.5x), we have to substitute 0.5x for x in 

So:
The second function is:

<em>This type of transformation is a horizontal stretch.</em>
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<em>i.e. f(x) stretched to g(x)</em>