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1 year ago

Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?

Mathematics

2 answers:

olasank [31]1 year ago

6 0

Answer:

Step-by-step explanation:

$\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}$

erik [133]1 year ago

3 0

Answer:

Step-by-step explanation:

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Conor has a roll of fence that is 25 feet long. He needs 8 yards of fence to go around a flower bed. Does he have enough fence t

vlabodo [156]

Answer:

Yes he has enough fence to go round the flower bed.

Step-by-step explanation:

1 yard = 3 feet

25 feet = 25/3 = 8.33 yards

Yes he has enough fence to go round the flower bed.

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2 years ago

What is 1.532 rounded to the nearest hundredth

Anni [7]

Answer:

1.53 would be the answer

Step-by-step explanation:

If you are rounding to the nearest hundredth you are rounding to the 2nd decimal place. Since the next number is under 5, we would just drop it.

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1 year ago

The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random

egoroff_w [7]

Answer:

The mean is 4.5 and the standard deviation is 1.44.

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 probability distribution is:

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

Uniformly distributed random variable ranging from 2 to 7.

This means that $a = 2, b = 7$ .

$M = \frac{(2 + 7)}{2} = 4.5$

$S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(7 - 2)^{2}}{12}} = 1.44$

The mean is 4.5 and the standard deviation is 1.44.

7 0

1 year ago

It costs 20 cents to receive a photo and 30 cents to send a photo from a cellphone. C is the cost of one photo (either sent or r

ddd [48]

Answer:

(a) PC(C)= $\left \{ {{0.6 \ \ \ \ x=20} \atop 0.4 \ \ \ \ {x=30}} \right. \\\ 0 \ \ \ \ \ \ \ else$

(b) E[C] = 24 cents

Step-by-step explanation:

Given:

Cost to receive a photo = 20 cents

Cost to send a photo = 30 cents

Probability of receiving a photo = 0.6

Probability of sending a photo = 0.4

We need to find

(a) PC(c)

(b) E[C]

Solution:

(a)

PC(C)= $\left \{ {{0.6 \ \ \ \ c=20} \atop 0.4 \ \ \ \ {c=30}} \right. \\\ 0 \ \ \ \ \ \ \ else$

(b)

Expected value can be calculated by multiplying probability with cost.

E[C] = Probability × cost

E[C] = $0.6\times20 +0.4 \times 30 = 12 + 12 = 24\ cents$

3 0

1 year ago

Find the inverse of y=x2-10x

anzhelika [568]

this is pretty hard but here is your answer

y = x^2 - 10x + 25 - 25

y = (x-5)^2 - 25

y+25 = (x-5)^2

x-5 = +/-sqrt(y+25)

And you get TWO inverses:

x = 5 + sqrt(y+25), for x>=5

x = 5 - sqrt(y+25), for x<=5

5 0

2 years ago

Read 2 more answers