Answer:
None of the above.........
7x+5y is the answer
yepyep
Given, IJ = 3x + 3, HI = 3x - 1, and HJ = 3x + 8.
Since I is a point on line segment HJ, we can write


Put x=2 in HJ=3x+8.

Therefore, the numerical length of HJ is 14.
Answer:
Dog is 2 years old
Step-by-step explanation:
Let dog's age = d
Let friend's age = f
Your dog is 8 years younger than your friend:
d +8 = f
In 2 years, your friend will be three times as old as your dog:
3(d+2) = (f+2)
3d+6 = f+2
3d = f - 4
(sub in f=d+8 from above)
3d = f - 4
3d = d+8 - 4
2d = 4
d = 2
Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.