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Nataliya [291]
4 years ago
15

Translate the phrase to an algebraic expression. (Use l for length and w for width.)

Mathematics
1 answer:
damaskus [11]4 years ago
5 0
Answer:
\frac{l + w}{6}
Explanation:
The sum of two numbers is the result of when they are added up. So the "sum of the length and width" is the length + width or l + w. One-sixth of the sum of the length and width is l+w divided by 6. so you get:

\frac{l + w}{6}

Hope this helps!
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The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude f
Finger [1]

Answer:

The percentage of adults in the town whose heights are between 60.1 and 74.1​ inches

P( 60.1≤X≤74.1) = 2.26 %

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the heights of the adults in one town have a mean of 67.1 inches

Mean of the Population = 67.1 inches

The standard deviation of the Population = 3.5inches

Let X₁ =60.1

Z = \frac{x-mean}{S.D} = \frac{60.1-67.1}{3.5} = -2

Let X₂ = 74.1

Z = \frac{x-mean}{S.D} = \frac{60.1-74.1}{3.5} = -4

<u><em>Step(ii):- </em></u>

The probability of adults in the town whose heights are between 60.1 and 74.1​ inches

P( X₁ ≤X≤X₂) = P(Z₁≤Z≤Z₂)

                    = P( -2≤ Z≤-4)

                   = |A(-4) -A(-2)|

                   = A(4) - A(2)|     (∵ A(-Z) =A(Z))

                  = 0.4998 - 0.4772

                 = 0.0226

<u><em>Final answer:-</em></u>

The probability of adults in the town whose heights are between 60.1 and 74.1​ inches

P( X₁ ≤X≤X₂) = 0.0226

The percentage of adults in the town whose heights are between 60.1 and 74.1​ inches

P( 60.1≤X≤74.1) = 2.26%

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3 years ago
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Answer:

The required equation of line is y=-6x-57.

Step-by-step explanation:

The point slope form of a line is

y-y_1=m(x-x_1)

Where m is slope of the line.

It is given that a line that passes through (–9, –3) and has a slope of –6.

Substitute m=-6, x₁=-9 and y₁=-3 in the above equation.

y-(-3)=-6(x-(-9))

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Subtract 3 from both the sides.

y=-6x-54-3

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