Our goal is to fit the given information into the slope-intercept form.
y=mx+b
We can place the slope in 'm.'
y= -7x+b
Then, input the values for the x and y.
2= -7(-5)+b
2=35+b
b=2-35
b= -33
'b' is the intercept, so now that we know that, we can plug in all the values and find our final equation.
y= -7x -33
Answer:
D is correct
Step-by-step explanation:
A graph of that sort will make a perfectly mirrored "V" shape, and with no offset, the bottom point will be on the y axis. This means that the first equation will intercept the y axis at zero, the second will intercept the y-axis at -15.
"A" may seem correct also, as the second graph will intercept the x-axis at -15, but it is not complete, as it will intercept that axis at +15 as well.
Answer:
8x !
Step-by-step explanation:
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 .
14 = 31.7 - 3x
-17.7 = -3x
x = 5.9
