Answer:
P = 1.214
Step-by-step explanation:
Draw a normal probability curve.
Find the z score which comes out to be 0.18 (0.181578947)
look for the probability in the table.
look across 0.1 and under 8.
Get the probability and add 0.5 to it
so rhats:
0.714 + 0.5 = 1.214
Answer:
x = -43
y = -4
Step-by-step explanation:
In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.
Let's assume the numbers x and y, now we write the expressions.
x + y = -47
x - y = -39
Take the second equation and find x.
<u>Calculations:</u>
x - y = -39 (Add y on both sides)
x = -39 + y
Now that you got the value of x in terms of y, we can substitute.
<u>Calculations:</u>
(-39 + y ) + y = -47
2y - 39 = -47
2y = -8
y = -8/2 = -4
y = -4
Now that we got y, we can substitute that value in any of the equations to find x.
x - 4 = -47 or x + 4 = -39
x = -43
1+3/4+4
4/8
1/2
y-3=-2(x+4)
y - 3 = -2(x + 4)
The 3 inside angles of a triangle need to equal 180 degrees. Looking at the larger outside triangle the top angle is 30 and the lower right angle is 60.
30 + 60 = 90
The lower left angle needs to be 180 - 90 = 90 degrees.
That angle is split into two angles with one given as 70.
This means X needs to be 90 - 70 = 20 degrees.
x = 20
Answer:
70 degrees
Step-by-step explanation:
Since the angles of a triangle have to add up to 180 degrees, you know that the third angle of the triangle on the left would be 180 - 60 - 65 = 55 degrees. Then, since the angles on a straight line have to add up to 180 degrees you could find one of the two missing angles of the second triangle by doing
180 - 55 - 50 = 75.
Then, you have 2 out of the 3 angles of the triangle on the right and you can find the third, the ?, by doing 180 - 75 - 35 = 70 degrees