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stepladder [879]
2 years ago
14

A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?

Mathematics
1 answer:
Dominik [7]2 years ago
6 0

Answer:

6 and 10

Step-by-step explanation:

xy=60

2(x+y)=32

x+y=16

y=16-x

Substitute y into area equation

x(16-x)=60

16x-x^2=60

x^2-16x+60=0

(x-10)(x-6)=0

x=10, 6

y=6, 10

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A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.0
Agata [3.3K]

Answer:

Approximately 68%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1, standard deviation = 0.05.

Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.

0.95 = 1 - 0.05

1.05 = 1 + 0.05

So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.

5 0
3 years ago
What is the prime factorization if 6400 using exponents
katovenus [111]

So prime factorization is as it seems, finding the prime factors for a number. With this number, break it down as such:

\underbrace{6400}_{\underbrace{64}_{\underbrace{8}_{\underbrace{4}_{\boxed{2*2}} \boxed{2}}*\underbrace{8}_{\underbrace{4}_{\boxed{2*2}}\boxed{2}}}*\underbrace{100}_{\underbrace{10}_{\boxed{5*2}}*\underbrace{10}_{\boxed{5*2}}}}

<u>Looking at our factors, the prime factorization of 6400 is 2^8*5^2</u>

5 0
4 years ago
Please help ASAP! 7th grade
mario62 [17]

Since their were no numbers to the questions i had to write it by the problem

Circle with 9 feet question

C=2(pi)r or C=(pi)d

Circular table question

A=(pi)r^2

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I=Prt

Volume of a rectangular prism

V=Bh

Triangular pyramid

V=1/3Bh

7 0
3 years ago
How would you write 1 17/20 as a percent
Over [174]
1 17/20

the 1 is ur whole number....it stays ur whole number
17/20 = 0.85

so we have 1.85.....to turn it into a percent, move the decimal 2 spaces to the right = 185%
5 0
3 years ago
The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect t
Usimov [2.4K]
\frac{20}{100} = \frac{x}{50}
Let's solve for x:
100x=1000
Divide by 100
x=10
You should expect to win 10 times.
3 0
4 years ago
Read 2 more answers
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