Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is
, and its volume is
. We also know that the area of the larger figure is
; since we don't now its volume, lets represent it with
:
We can conclude that the volume of the larger figure is
; therefore, the correct answer is
a.
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.
The number X is placed somewhere between 9 and 10. That's because 9 squared is 81 and 10 squared is 100.
Answer:
I think it would be x÷6-9 or x/6-9
Step-by-step explanation:
Quotient means to divide so you are dividing x by 6. Decreased by 9 means subtract by 9. I hope this helps you! :)
<span>✡ Answer: 9000 </span><span>✡
- - Solve:
If your 3 numbers to the right (in this problem its 3) are 499 or less, you round down, if its 500 or up, you round up.
In this case, round up.
- - Solve furthermore:
9000
</span>
✡Hope this helps<span>✡</span>
