Answer: y = mx + b
Step-by-step explanation:
i think this is what ur asking but “y” is the coordinate of the y-axis with “x” being the coordinate of the x-axis. m is the slope of the graph
The equations given are parallel lines wherein they never meet however you extend the lines formed. Just by looking, you can say they are parallel since they have the same slope. Also, the second equation is a translated equation of the first one. The y-intercept of the first is moved from zero to negative 3.
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
Answer:
A. 12.3%
Step-by-step explanation:
Model this as a binomial distribution
where X is the random variable, n is the number of trials, and p is the probability of success.
Therefore,
- X = lambs born male
- n = 60
- p = 0.5
(If the probability of lambs being male and female is equal, then the probability of males being born = 0.5)
![X \sim B(60,0.5)](https://tex.z-dn.net/?f=X%20%5Csim%20B%2860%2C0.5%29)
The probability that at least 35 lambs will be born male:
![\ \ \ \ \ \ \ P(X\geq 35)=1-P(X\leq 34)\\\\\implies P(X\geq 35)=1-0.8774695851...\\\\\implies P(X\geq 35)=0.1225304149\\\\\implies P(X\geq 35)=12.3 \%](https://tex.z-dn.net/?f=%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20P%28X%5Cgeq%2035%29%3D1-P%28X%5Cleq%2034%29%5C%5C%5C%5C%5Cimplies%20P%28X%5Cgeq%2035%29%3D1-0.8774695851...%5C%5C%5C%5C%5Cimplies%20P%28X%5Cgeq%2035%29%3D0.1225304149%5C%5C%5C%5C%5Cimplies%20P%28X%5Cgeq%2035%29%3D12.3%20%5C%25)
Answer:
Infinitely many solutions.
Step-by-step explanation:
12(x+3)=4(2x+9)+4x
12x+36=8x+36+4x
12x+36=12x+36
infinitely many solutions