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Dafna11 [192]
1 year ago
9

Mr Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover

1,800 square feet
Mathematics
1 answer:
taurus [48]1 year ago
6 0

<span>This problem is solved using a rule of three</span>

we know that
<span>Mr Savage used 3 gallons of paint to cover-------------->  1,350 square feet
X--------------------------------------------------------------------> </span><span>1,800 square feet
X=1800*3/1350=4 gallons

the answer is 4 gallons</span>
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The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?
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In this question, we're trying to find cost of one sandwich.

To find this, we must make a systems of equation from the given information:

We would represent sandwiches as "s" and drinks as "d".

Systems of equations:

6s + 4d = 53

4s + 6d = 47

Solve for s:

6(6s + 4d = 53)

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36s + 24d = 318

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$6.50

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1 year ago
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu
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Answer:

Mean = 3.4

Variance = 1.088

Standard deviation = 1.0431

Step-by-step explanation:

P=0.68\\ \\N=5

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is m=N\cdot p

Thus,

m=5\cdot 0.68=3.4

The variance of the binomial distribution is s^2=Np(1-p), where s^2​​ is the variance of the binomial distribution, so

s^2=5\cdot 0.68\cdot (1-0.68)=3.4\cdot 0.32=1.088

The standard deviation s is the square root of the variance s^2, so

s=\sqrt{1.088}\approx 1.0431

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1 year ago
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