A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
Given that the scale factor is 3:14. Therefore, the ratios can be written as,
(a) The ratio of the surface area of the model to the surface area of the original is,
Surface area Ratio = (3/14)² = 9/196
(b) The ratio of the volume of the model to the volume of the original.
Volume Ratio = (3/14)³ = 27/2744
(c) The ratio of the width of the model to the width of the original.
Width Ratio = 3/14
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Answer:
8
Step-by-step explanation:
24/3 = 8
Answer:
The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

93% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).
Answer:
$880,000
Step-by-step explanation:
First note that the full meaning of EBIT is earning before interest and tax.
When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:
Step 1. Calculation of VU
VU = [EBIT × (1 - tax rate)] ÷ cost of equity
= [$100,000 × (1 - 0.20)] ÷ 0.10
= [$100,000 × 0.80] ÷ 0.10
= $80,000 ÷ 0.10
= $800,000
Step 2. Calculation of VL
VL = VBC + (tax rate × conversion rate × VU)
= $800,000 + (0.20 × 0.5 × $800,000)
= $800,00 + $80,000
= $880,000
Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.
Answer:
The entire volume would be 60m, but if it's talking only about the little rectangle on top then the answer is 6m.
Step-by-step explanation:
The length of the smaller object is 1m, the height is 2m, and the width is 3m (as seen to the right side near the bigger block).
Multiply all those numbers together (1×2=2, 2×3=6 or just simply 1×2×3=6)