Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
x = 42º
Step-by-step explanation:
We know that m < UVY is equal to 84º (Given)
We know that < UVY = < SVW (Vertical Angles Theorem)
By substituting in the known values for the anges, we know that:
< UVY = < SVW
84º = 2x
Simplify the equation by dividing by 2 on both sides.
x = 42º
Hope this helps! Let me know if you have any questions!
Answer:

Step-by-step explanation:
We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).
Note that x=1 is a <em>vertical line </em>since x is 1 no matter what y is.
This means that if our new line is perpendicular to the old, then it must be a <em>horizontal line</em>.
So, since we have a horizontal line, then our equation must be our y-value of our point.
Our y-coordinate of our point (8,-9) is -9.
Therefore, our equation is:

And this is in standard form.
And we're done!
Answer:
Plot at (8,2)
Step-by-step explanation: