Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m =
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m =
=
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer:
6
Step-by-step explanation:
2x + 7 = 19
-7 -7
2x = 12
12/2 = x
6 = x
No.
If the Den is 547.35 Square feet, and one side length is 26.7, you divide the Area by one side length to get the other. 547.35/26.7= 20.5
20.5 is less than <span>23.5. Therefore the rug will not fit.</span>
Ok this might be wrong but you don’t have much time so I will give my best
I’m pretty sure the of the x and y thing you do this you see the box with the number in it do this the top two says 2 and 4 the left side is x and the right side is y so you see at the bottom of the number Line thing on the right is a little x that where you start so the box of numbers the fist one says 2 so go to the bottom number line and there is the number two now the top right box with numbers says 4 so go up 4 squares from the number 2 and make a dot where they come together
Let X be the number of boys in n selected births. Let p be the probability of getting baby boy on selected birth.
Here n=10. Also the male and female births are equally likely it means chance of baby boy or girl is 1/2
P(Boy) = P(girl) =0.5
p =0.5
From given information we have n =10 fixed number of trials, p is probability of success which is constant for each trial . And each trial is independent of each other.
So X follows Binomial distribution with n=10 and p=0.5
The probability function of Binomial distribution for k number of success, x=k is given as
P(X=k) = 
We have to find probability of getting 8 boys in n=10 births
P(X=8) = 
= 45 * 0.0039 * 0.25
P(X = 8) = 0.0438
The probability of getting exactly 8 boys in selected 10 births is 0.044