Water makes up about 71% of Earth's surface, while the other 29% consists of continents

Select the correct answer from each drop-down menu. ronald is buying a rectangular chest to store his carpentry tools. the heigh

shepuryov [24]

The function that represents the volume of the chest is 40.

What is a volume simple definition?

The amount of space occupied by a three-dimensional figure as measured in cubic units (as inches, quarts, or centimeters) cubic capacity.
The amount of a substance occupying a particular volume.

When the Area of rectangular chest:

A(x) = 20√x /3

⇒ Volume of chest = Base area x Height

Therefore:

(X + 6) × 20√x /3

(20x√x /3 ) + (20 × 6√x/3)

(20x√x /3 ) + (20 × 2 × 3√x/3)

(20x√x/3) + 40√x

Therefore, the correct answer for the drop-down menu is that the first blank is multiply and the second blank is 40.

Learn more about Volume

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8 0

2 years ago

Solve the inequality |* +31 < |2x + 1. |x+3|<|2x+1|

Kisachek [45]

Answer:

Step-by-step explanation:

Here are the steps to follow when solving absolute value inequalities:

Isolate the absolute value expression on the left side of the inequality.

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:

(quantity inside absolute value) < -(number on other side)

OR

(quantity inside absolute value) > (number on other side)

The same setup is used for a ³ sign.

If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:

-(number on other side) < (quantity inside absolute value) < (number on other side)

The same setup is used for a £ sign

7 0

4 years ago

According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn

Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that $p = 0.07$

A day care program has capacity for 8 children in that age range.

This means that $n = 8$

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337$

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0

3 years ago

A rectangular piece of cloth has an area of 1/12 square yard. If the cloth is 2 yards wide, what is the length of the cloth? A.

SVETLANKA909090 [29]

1/12 = 2x
(1/12)/2=x
1/24=x

6 0

3 years ago

X2+ 1 = 9

Aleks04 [339]

Answer:

X = 4

Step-by-step explanation:

x2 + 1 = 9

We have to cross 1 over to the other side so that x becomes a value on its own. Because we are it over, the addition sign changes to subtraction which makes the expression,

x2 = 9- 1

x2 = 8

For x to stand alone we have to divide both sides by 2

x 2/2 = x

and 8/2 = 4

Therefore x=4 (Answer)

3 0

3 years ago