The volume of a right circular cone is pie *r square* h/3
Answer:
x=4
Step-by-step explanation:
8x - 7 =2(2x +7) - 5
8x - 7 =4x +14 - 5
8x - 7 =4x +9
8x - 4x =9 +7
4x =16
x=16 :4
x=4
Answer:
T = 530N + 250
Step-by-step explanation:
For the first plan, Heather will deposit $250 and then save $135 per month.
So, that is 250 + (135 x N) where N is the number of months she saves the $135.
So if it is for 3months,
We will have:
t¹ = 135N + 250
= 250 + (135 x 3)
= 250 + 405
= $655
For the second plan, there is no initial deposit, but she will save $395 per month.
That is 395 x N
t² = 395N
For 3months, we have 395 x 3 = $1185
Therefore the total for both plans in 3months = 655 + 1185 = $1840
Equation relating T to N
T = t¹ + t²
T = (135N + 250) + 395N
T = 135N + 250 + 395N
T = 530N + 250
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.
We have an object measured in <u>Meters</u>, and we want to cut sections of it off in <u>Centimeters</u>, a different unit of measurement.
Because we're subtracting sections of the pipe, we want to make the units the same, this will make our calculations easier.
1 Meter = 100 Centimeters, so, <u>2.5 Meters = 250 Centimeters</u>
We're cutting ( 60 Cm + 35 Cm + 90 Cm ) off, which totals <u>185 Cm</u>.
250 Cm Pipe - 185 Cm Cuts = 65 Cm Pipe Left
