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2 years ago

Find the volume of the rectangular solid shown below

Mathematics

1 answer:

mina [271]2 years ago

7 0

Answer:

Step-by-step explanation:

The volume is the product of the 3 dimensions. We have

V = 24(a^4)(b^6)

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U.S. Postal Service regulations state that a package can be mailed using Parcel Post rates if it weighs no more than 80 pounds.

Citrus2011 [14]

5 because 80/14 is 5.714

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3 years ago

The table shows a direct variation.

lakkis [162]

2.4 because 4.8/2 is 2.4. 14.4/4 is also 2.4. Constant of variation is the unit rate

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3 years ago

Find numerical value if x=1 and y=5<br>4(x+y)

Len [333]

Answer:

Step-by-step explanation:

4(x+y)

4(1+5)

4*6

6 0

2 years ago

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Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

A marble is selected at random from a jar containing 4 red marbles, 2 yellow marbles, and 3 green marbles.

s344n2d4d5 [400]

Answer:

4 / 9 probability of getting a red

Step-by-step explanation:

How many marbles are there total?

4 red + 2 yellow + 3 green = 9 marbles total

P( red marble) = 4 red / 9 total = 4/9

7 0

3 years ago

Read 2 more answers