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3 years ago

The perimeter of rectangle living room is 40 m the living room is 10 m wide what is the length of the living room

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

Width of the room = 5 meters

Step-by-step explanation:

the rectangular living room is calculated as length * width

The area is given to be equal to 40 sq. meters (area = 40 sq. meters)

Let the width = x meters

Length = X+3 meters

Area = Length * Width

40 = X * (X+3)

40 = X^2 + 3X

We solve this quadratic equation

So x = 5 or x= -8

Width cannot be negative, so we reject x =-8

So x = 5 is the answer

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What 17 multiply and adds to get -2

Marrrta [24]

17 * 0 + -2.

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Suppose you work in the quality assurance department of a chemical processing plant and it is your responsibility to ascertain w

aleksandrvk [35]

Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

Given the data:

Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50

Number of samples (n) = 10

α = 95% = 0.05

Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

True mean = μ

Confidence interval :

m ± t(α/2 ; df) * s/√n

m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n

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Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

m = 56 ; s = 10.25

m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n

From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262

56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)

48.668 ≤ μ ≤ 63.332

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3 years ago

Tamiami turned in 6 homework assignments. if she turned in 75 percent of the homework assignments that were due how many homewor

vivado [14]

Percemt means parts out of 100
75%=75/100=15/20=3/4

turned in 6
if she turned in 3/4 of total assignments due then how many total?
6=3/4 times total
multily both sides by 4/3 to clear fraction
24/3=total
8=total
answer is 8 homeworks were assigned

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3 years ago

Which expression is equivalent to 2^4 ⋅ 2^−7?

yaroslaw [1]

Remember
$(x^m)(x^n)=x^{m+n}$
and
$x^{-m}=\frac{1}{x^m}$

so
$(2^4)(2^{-7})=$
$2^{4-7}=$
$2^{-3}=$
$\frac{1}{2^3}=$
$\frac{1}{8}$

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Novay_Z [31]

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Step-by-step explanation:

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