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Anna [14]
3 years ago
10

Which expression is equivalent to

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Answer:

24h+6

Step-by-step explanation:

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A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet
kykrilka [37]

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

7 0
2 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
Colt1911 [192]

Answer: 34%

Step-by-step explanation:

According to the Empirical rule,

About 68% of the population lies with in one standard deviation from the mean.

i.e. About  34% of the population lies above one standard deviation from the mean .

and About 34% of the population lies below one standard deviation from the mean.

Given : The distribution of the number of daily requests is bell-shaped ( i.e. Normally distribution) and has a mean of 60 and a standard deviation of 11.

i.e. \mu=60\ \ \sigma=11

Using the Empirical Rule rule,  34% of the population of lightbulb replacement requests lies above one standard deviation from the mean .

i.e. About 34% of the population of lightbulb replacement requests lies between \mu and \mu+\sigma

i.e. About   34% of the population of lightbulb replacement requests lies between 60 and 60+11

i.e. About  34% of the population of lightbulb replacement requests lies between 60 and 71

Hence, the approximate percentage of lightbulb replacement requests numbering between 60 and 71 = 34%

4 0
3 years ago
(A) find F(x) for the indicated values of x, if possible
dem82 [27]

Answer:

A) The indicated values of F(x) for x=-3 and x=5 are F(-3)=-27  and F(5)=125

B) The domain of f is the set of all real numbers

Step-by-step explanation:

Given that the function F is defined by

F(x)=x^3 for x=-3,5

A) To find F(x) for the indicated values of x :

Given F(x)=x^3 for x=-3,5

  • Put x=-3 in the given function

F(-3)=(-3)^3

=(-3)\times (-3)\times (-3)

=-27

Therefore F(-3)=-27

  • Put x=5 in the given function

F(5)=(5)^3

=(5)\times (5)\times (5)

=125

Therefore F(5)=125

The indicated values of F(x) for x=-3 and x=5 are F(-3)=-27  and F(5)=125

B) To find the domain of f :

The domain of the f in the given expression is the set of all real numbers except where the expression x^3 is undefined. In this case, there is no real number that makes the expression undefined.

The domain of f is the set of all real numbers

8 0
3 years ago
Suppose a student visited 81 websites while conducting research. If 9 of the websites were "us.gov" websites, what percentage of
rjkz [21]

Answer:

9/81 or 1/9 = .1111111111R

Step-by-step explanation:

It is that because that is the decimal and 9 goes into 9 once and 9 goes into 81 nine times

3 0
3 years ago
I need to know how to put the following word problem in an explicit formula to solve: I know the answer is 6 minutes but I'm str
kodGreya [7K]

Answer:

Step-by-step explanation:

210 total minutes / 18 = 11.66 (round up to 12)

so 18 * 12  = 216

216 - 210 = 6 minutes

8 0
3 years ago
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