Answer:
y=4,x=1
Step-by-step explanation:
4x+y=8
x+y=5
subtract equation 2 from equation 1
3x + 0=3
3x=3
divide both sides by 3
x=1
substitute for x=1 in equation 2
x+y=5
1+y=5
y=5-1(collecting like terms)
y=4
Answer:
Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.
Step-by-step explanation:
We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.
<em>Firstly, Let X = diameters of ball bearings</em>
The z score probability distribution for is given by;
Z =
~ N(0,1)
where,
= mean diameter = 106 millimeters
= standard deviation = 4 millimeter
Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)
P(X > 111) = P(
>
) = P(Z > 1.25) = 1 - P(Z
1.25)
= 1 - 0.89435 = 0.1056
Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.
Answer:
x = 113
Step-by-step explanation:
( 5x + 685 ) + ( 12x - 106 ) = 2500 ( 685 - 106 = 579)
17x + 579 = 2500
17x = 2500 - 579
17x = 1921
x = 1921 / 17
x = 113
Answer:
to find the weight in pounds, <u>divide</u> the number of ounces by the unit rate, <u>16</u> ounces per pound.