Answer:
(D)y ≤ 3x − 1 y ≥ −x + 4
Step-by-step explanation:
The line f(x) is solid and goes through the points (0, 4) and (4, 0) and is shaded above the line.
The line that satisfies the point (0,4) and (4,0) is y=-x+4
Since it is shaded above the line, we have the inequality sign ≥.
Therefore, one of the lines is y≥-x+4
In the equation of the line y=3x-1
When x=0, y=3(0)-1=-1
When x=2, y=3(2)-1=5
Since it is shaded below the line, we have the inequality sign ≤ .
Therefore, the other line is y≤3x-1.
The correct option is D.
Answer:
Mperpendicular=6
Step-by-step explanation:
pls mark me plsssssssssssss
Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that ![p = 0.07](https://tex.z-dn.net/?f=p%20%3D%200.07)
A day care program has capacity for 8 children in that age range.
This means that ![n = 8](https://tex.z-dn.net/?f=n%20%3D%208)
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B8%2C1%7D.%280.07%29%5E%7B1%7D.%280.93%29%5E%7B7%7D%20%3D%200.337)
0.337 = 33.7% probability that one of the eight children has a food allergy.
She would need to make an 89 on her last test. I hope this helped ^^
What I did is I put a made a list in ascending order (Least to greatest). Next, I added a number starting from 80 and then counted up. I added every number together and divided it by 5 every time I changed the number. Finally I got to the number 89 and it totaled to be 85.
Answer:
Option C - (-28p⁵-21p⁴+7p³)
Step-by-step explanation:
=> -7p³×4p²= -28p⁵---- 1
=> -7p³×3p= -21p⁴------ 2
=> -7p× (-1)= 7p³---- 3p
Add 1+2+3
=> (-28p⁵-21p⁴+7p³)
Hope this helps you.