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3 years ago

The figure shows a carpeted room. How many square feet of the room are carpeted?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

3 0

Split the figure into two shapes.

Top rectangle would be 6 feet x 5 feet ( 8-3)

The bottom rectangle would be 2 feet x 3 feet.

Calculate the area of both and add them together:

6 x 5 = 30

2 x 3 = 6

Total area = 30 + 6 = 36 square feet.

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If the nucleus of an atom contains 12 protons, how many electrons are there in a neutral atom?

Cloud [144]

Answer:

An atom of sodium has 11 proton, 11 electrons, and 12 neutrons.

3 0

3 years ago

Read 2 more answers

A boy jogs 250 meters in 110 seconds. What is his average speed in m/s?

babunello [35]

His average speed is 2.27 meters per second

8 0

3 years ago

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

3 years ago

Write the following in simplified radical form.

REY [17]

Step-by-step explanation:

I think the answer is like this

7 0

3 years ago

Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63.

Colt1911 [192]

Answer:

Jake is incorrect with his methodology for solving these problems

Step-by-step explanation:

Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27

4 0

2 years ago