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Basile [38]
2 years ago
8

Simplify 3.31 l : 900 ml

Mathematics
2 answers:
Deffense [45]2 years ago
4 0
Hi,
3.31l=3310 ml
3310 ml:900ml
331ml:90ml,
Hope it helps you.
Paul [167]2 years ago
3 0

We can take the ratio of two same quantities.

Quantities must have the volume in the same units.

We know 1 liter is equal to 1000 milliliters

We have here 3.31 liters

We need to multiply this by 1000 to convert it to milliliters.

We get

3.31 × 1000 = 3310 milliliters

So

3.31 L : 900 ml

= 3310 : 900

Dividing by 10 we get

= 331 : 9

Now the factors of 9 are 3 × 3.

But 331 is not divisible by 3

Hence this ratio cannot be simplified further.

The simplified answer is 331 : 9

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Recall that distance = speed times time. Thus, time = distance / speed.

Here:

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Note that 1/15 hr = 1/15 (60 min) = 4 minutes

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velikii [3]

Answer:

a) 0.1829

b) 0.6823

c) 0.0413

Step-by-step explanation:

We are given the following information:

We treat adult having little confidence in the newspaper as a success.

P(Adult have little confidence) = 62% = 0.62

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) exactly 5

P(x =5)\\\\=\binom{10}{5}(0.62)^5(1-0.62)^5\\\\=0.1829

0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.

b) atleast six

P(x \geq 6)\\\\ = P(x = 6) + P(x = 7)+P(x = 8)+P(x = 9)+P(x=10)\\\\= \displaystyle\sum \binom{10}{n}(0.62)^n(1-0.62)^{10-n}, n =6,7,8,9,10\\\\= 0.6823

0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.

c) less than four

P(x

0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.

8 0
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.

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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.

So

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

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

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1 year ago
The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
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Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

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x -----> the length of the Boston Marathon in meters

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we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

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therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

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2 years ago
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