Answer:
The sample size required is 910.
Step-by-step explanation:
The confidence interval for population proportion is:

The margin of error is:

Given:

The critical value of <em>z</em> for 90% confidence level is:
*Use a standard normal table.
Compute the sample size required as follows:

Thus, the sample size required is 910.
Answer:
The support is 41 inches long.
Step-by-step explanation:
There's two ways we can do this: one with the diagonal formula and one without.
Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is
. Let's put in those numbers:

Therefore, the support is 41 inches long.
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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

Again, the support is 41 inches long.
The different type of discount effected on the prices of two similar products having the same unit price may either increase or decrease the total unit price on the discounted sale price of the items.
Taking an hypothetical scenario :
50 ml of Product A = $100
60 ml of product A = $100
<u>Discount on sale of 60ml size on purchase of two or more units </u> : 10% off
Discounted price of 60 ml size :
Initial product cost on purchase of 3 units = ($100 × 3) = $300
Discounted price = (100 - 10)% × $300 = $270
<u>Discount on sale for 50ml size on purchase of two or more units</u> : $20 off
Discounted price of 50ml size :
This means $20 is deducted from any purchase of two or more units ;
Hence, purchasing 2 units of the 50 ml product will cost ; (
($100 × 2) - $20
$200 - $20 = $180
Therefore, the discount effected on the cost of product which has the same unit price may either decrease or increase the total cost of one product relative to the other.
Learn more :brainly.com/question/20418815
Answer:
<em>The fraction of the beads that are red is</em>
Step-by-step explanation:
<u>Algebraic Expressions</u>
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
![\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%20%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B1%5D)
Knowing that:
![\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7By%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B2%5D)

Multiplying the equations above:

Simplifying:
![\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Bb%7D%3D%5Cfrac%7B5%7D%7B6%7D%20%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B3%5D)
Dividing [1] by r:

Substituting from [2] and [3]:

Operating:



The fraction of the beads that are red is 
2 units, 3 units, 6 units
36 units, 1 unit, 1 unit
9 units, 2 units, 2 units
12 units, 3 units, 1 unit
All options stated above would result in a volume of 36 cubic units.