Answer:
y=-1 x=26 (26,-1)
Step-by-step explanation:
We know that Mr. Garcia drives 26 miles per gallon, this means that the slope will be (26,-1)
Slope-intercept form:
y = mx + b "m" is the slope
First i would isolate the "y" in the equation.
2x + y = 4 Subtract 2x on both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x or y = -2x + 4
The given line's slope is -2.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
The 3rd option is your answer
Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:
![P(x) = nCx*p^{x} *(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28x%29%20%3D%20nCx%2Ap%5E%7Bx%7D%20%2A%281-p%29%5E%7Bn-x%7D)
nCx is calculated as:
![nCx=\frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=nCx%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:
![P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}](https://tex.z-dn.net/?f=P%284%29%20%3D%205C4%2A0.6%5E%7B4%7D%20%2A%281-0.6%29%5E%7B5-4%7D)
P(4)=0.2592
And P(5) is:
![P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}](https://tex.z-dn.net/?f=P%285%29%20%3D%205C5%2A0.6%5E%7B5%7D%20%2A%281-0.6%29%5E%7B5-5%7D)
P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
Answer:
divide 5.125 by 1
Step-by-step explanation:
done bye
Answer:
c
Step-by-step explanation: