A carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton by using unit cubes

Answers

Answer 1

Answer: A 10-inch cube. (10 x 10 x 10 = 1000)

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Explain why P(A|D) and P(D|A) from the table below are not equal.

Answers

Answer:

The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Other part is:

different given events

P(A|D) equals 2/10

P(D|A) equals 2/8

because they are in different positions which make them different answers/number

A twelve pack of juice costs $3.90. An eighteen pack costs $5.49. Which is the better buy?

Answers

The better buy is the one that costs the least per pack of juice. If there are twelve packs of juice in the $3.90 package, then you would divide 3.90 by 12 to see how much each pack costs. If there are eighteen packs of juice in the $5.49 package, then you would divide 5.49 by eighteen.
After I did the math, I found out each pack in the 12-pack costs 33 cents, and each pack in the 18-pack costs 31 cents. So the 18-pack would be the better buy.

the answer is the first one, because if you divide 12 by 3.90, and 18 by 3.28, you get $3.08 for the first one and $3.28 for the second one

How do I solve this proportion?

Answers

$(3)/(x)=(7)/(10);\ \ \ \ D:x\neq0\n\ncross\ multiply:\n\n7\cdot x=3\cdot10\n\n7x=30\ \ \ \ /:7\n\nx=(30)/(7)\n\nx=4(2)/(7)$

Okay this should be simple. So take 10 times 3. Because those are diagnal to eachother. 10*3 = 30. Now take 30 divided by 7. 30/7 = 4.28 and rounded would be just 4.2. That's your answer! Hope i helped!

How many 1/4 teaspoon doses are in 7/8 teaspoon of medicine

Answers

The correct answer is:

3 1/2.

Explanation:

To find out how many 1/4 tsp doses are in 7/8 tsp of medicine, we divide:

7/8 ÷ 1/4

To divide fractions, flip the second fraction and multiply:

7/8 × 4/1

Multiply straight across:

7/8 × 4/1 = (7×4)/(8×1) = 28/8

To simplify this, we see how many times 8 will divide into 28. It divides evenly 3 times; this is our whole number.

After 8 goes into 28 3 times, there are 4 left over. This is the numerator of our fraction (8 is the denominator):

3 4/8 = 3 1/2

What is the sum of the arithmetic sequence 8, 14, 20 ..., if there are 22 terms?

Answers

Answer:

The sum of 22 terms of given AP = 1562

Step-by-step explanation:

Formula:-

Sum of n terms of AP,

Sₙ= (n/2)[2a + (n - 1)d]

To find the sum of 22 terms

Here. a = 8, d = 6 and n = 22

Sₙ= (n/2)[2a + (n - 1)d]

S₂₂ = (22/2)[2*8 + (22 - 1)*6]

= 11[16 + 126] = 11 * 142 = 1562

Answer: I'm pretty sure its 1562

Sammy had 30 minutes to do a three problem quiz. She spent 101/3 minutes on problem 1 and 54/5 minutes on problem 2. How much time did she have time for problem 3? Write your answer as a mixed number.