Answer: i hope this is correct take care
Step-by-step explanation:
There are 8 small sides that measure 3 units each; so that'd be a total of 24 units
There are 2 sides that measure 4x; so they'd equal a total of 8x
& Finally there're 2 long sides that measure (2x-1) each; equal a total of (4x-2)
Add all these up:
(24) + (8x) + (4x-2)
Your answer is:
12x-22
Hey there!
To use the substitution method in order to solve the system of equations,
y=7x+8
y=x+20 , first notice that both equations are set equal to the same value, y.
Knowing this, 7x+8 and x+20 both equal the same value so you would set them equal to one another:
7x+8=x+20.
This would be substitution as you are substituting one of the equations in place of y.
Now, solve for x:
7x+8=x+20
6x+8=20
6x=12
x=2
Now that you know x equals the value of 2, you can substitute the value into one of the equations to find y:
y=x+20
y=2+20
y=22
Now that you have x=2 and y=22, you can conclude that your answer would be (2,22) or choice B.
Hope this helps and have a wonderful day! :)
Answer:
a) P(z<-0.66) = 0.2546
b) P(-1<z<1) = 0.6826
c) P(z>1.33) = 0.9082
Step-by-step explanation:
Mean = 300
Standard Deviation = 75
a) Less than 250 hours
P(X<250)=?
z = x - mean/ standard deviation
z = 250 - 300 / 75
z = -50/75
z = -0.66
P(X<250) = P(z<-0.66)
Looking for value of z = -0.66 from z score table
P(z<-0.66) = 0.2546
b. Between 225 and 375 hours
P(225<X<375)=?
z = x - mean/ standard deviation
z = 225-300/75
z = -75/75
z = -1
z = x - mean/ standard deviation
z = 375-300/75
z = 75/75
z = 1
P(225<X<375) = P(-1<z<1)
Looking for values from z score table
P(-1<z<1) = P(z<1) - P(z<-1)
P(-1<z<1) = 0.8413 - 0.1587
P(-1<z<1) = 0.6826
c. More than 400 hours
P(X>400) =?
z = x - mean/ standard deviation
z = 400-300/75
z = 100/75
z = 1.33
P(X>400) = P(z>1.33)
Looking for value of z = 1.33 from z-score table
P(z>1.33) = 0.9082
