Answer:
P(4) =p(x=4) = 0.205078
Step-by-step explanation:
<u>Explanation</u>:-
The probability of x successes in the n independent trials of the experiment.
Given n=10, p=0.5,
By using Binomial distribution

Given the p = 0.5
q=1-p =1-0.5=0.5

we will use formula




on calculation, we get
P(X=4) = 0.205078
To solve this system of equations, start by plugging your equation for x wherever x appears in your second equation, giving you (y-3)+3y=13. Now, combine like terms, (y-3)+3y=13 => 4y-3=13, solve for y by adding 3, 4y-3=12 => 4y=16, divide by 4, 4y=16 => y=4. Now that you have your y value, plug it into the equation for x to get the x value, x=y-3=4-3=1. This makes your solution (1,4), answer choice A
Answer:
45
Explanation:
<u>Given</u>:
f(x)= 6x+9
g(x)=3x
<u>Go from right to left in such function questions</u>
⇒ f(g(2))
⇒ f(3(2))
⇒ f(6)
⇒ 6(6) +9
⇒ 36 + 9
⇒ 45
Step-by-step explanation:
As we can see, the line on the bottom is a perfectly straight 180º line, so the two angles, a and 50º are supplementary angles. Remember: Supplementary angles = 180º, and complementary angles = 90º.
Since this is a 180º line, all we have to do is to subtract 50 from 180 to get our angle a.
180-50 = 130º
Our answer: a = 130º
I think it's the first choice. T and F = F. hope this helps :D