Answer:
x≤ −96
/23
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 1/8x from both sides.
Step 3: Subtract 12 from both sides.
Step 4: Multiply both sides by 8/23.
Answer:
0.98732
Step-by-step explanation:
Given that :
Mean = 10 minutes
Variance = 2 minutes
For less than equal 40 jobs
Mean (m) = 40 * 10 = 400 minutes
Variance = 2 * 40 = 80 minutes
Standard deviation (s) = √variance = √80
Converting hours to minutes
X = 60 * 7 = 420 minutes
P(X≤ 420) :
Z = (x - m) / s
P(X≤ 420) :
Z = (420 - 400) / √80
Z = 20 / √80 = 20 / 8.9442 = 2.236
P(Z ≤ 2.236) = 0.98732
To work out the estimate cost you need do 200 * 5=$1000
then I used a calculator and the actual answer is $895
Answer:
1/4
Step-by-step explanation:
2/3 multiply top and bottom of fraction by 2
4/6 is the capacity of the container
1/6 is filled
so 1/4 of the container is filled
<em><u>Question:</u></em>
The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3
Options:
x = negative 3
x = negative 1
x = 1
x = 3
<em><u>Answer:</u></em>
The value of x is 1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-2x + y = 8 ------- eqn 1
5x - y = -5 ------- eqn 2
The above equations are added to solve for "x"
Add eqn 1 and eqn 2
-2x + y + 5x - y = 8 - 5
Combine the like terms
-2x + 5x + y - y = 3
Add the like terms
3x + 0 = 3
3x = 3
Divide both sides of equation by 3
x = 1
Thus the value of x is 1