Answer:
(3,2)
Step-by-step explanation:
y = −2x + 8
y = x − 1
Substitute the second equation into the first equation for y
y = -2x+8
x-1 = -2x+8
Add 2x to each side
x-1+2x = -2x+8+2x
3x -1 = 8
Add 1 to each side
3x-1+1 = 8+1
3x =9
Divide by 3
3x/3 = 9/3
x=3
Now find y
y = x-1
y =3-1
y=2
(3,2)
Answer:
0.938
Step-by-step explanation:
From the question :
p = 0.14
Number of children, n = 7
P(x ≤ 2) = P(2) + P(1) + P(0)
Using binomial probability :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
We could also use the binomial probability calculator :
P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936
P(x ≤ 2) = 0.938
Answer:
X=17.5
Step-by-step explanation:
The solution is in the image
Answer:
The measure of angle x is 50 degrees
Step-by-step explanation:
we know that
----> equation A
----> equation B
solve the system by substitution
substitute equation B in equation A
solve for y
Find the measure of angle x
therefore
The measure of angle x is 50 degrees
I'll focus on problem 19 and problem 22
============================================================
Problem 19
Answers:
-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
============================================================
Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
