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Sauron [17]
3 years ago
7

There are two functions that can be used to describe the percent of people 25 years and older who have completed at least high s

chool. For both functions f(x)=0.44x + 87.5 and g(x)=0.008x^2 + 0.42x + 87.5 is the number of years since 2008, and any y (or f(x) or g(x)) is the percent of people 25 and older completing at least high school. Assume that the trend of g(x) continues. Find g(15) and describe in words what this means.
g(15)=
Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Answer:

g(15)=93.8\%

see the explanation

Step-by-step explanation:

Let

x ----> the number of years since 2008,

g(x) ----> the percent of people 25 years and older who have completed at least high school

we know that

g(x)=0.008x^2+0.42x+87.5

so

For x=15 years since 2008

substitute

g(15)=0.008(15)^2+0.42(15)+87.5=93.8\%

That means

In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%

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UkoKoshka [18]

Answer:

a) 61.2, b) 38.4 and c) 4.98

Step-by-step explanation:

Given:

The mean width of 12 I-Pads is 5.1 inches.

The mean width of 8 Kindles is 4.8 inches.

Question asked:

a. What is the total width of the I-Pads?

b. What is the total width of the Kindles?

c. What is the mean width of the 12 I-Pads and 8 Kindles?

Solution:

<u>As we know:</u>

<u />Mean =\frac{Sum\ of\ observations}{Number\ of\ observations}\\ \\ Mean\ width =\frac{Sum\ of\ width\ of\ all \ I-pad}{Number \  of\ I-pad}

5.1=\frac{Sum\ of\ width\ of\ all\ I-pad}{12} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all\ I-pad}=5.1\times1 2\\ \\ Sum\ of\ width\ of\ all\ I-pad}= 61.2

a) Thus, the total width of the I-Pads are 61.2 inches.

Mean\ width =\frac{Sum\ of\ width\ of\ all\ Kindles}{Number \  of\ Kindles}

4.8=\frac{Sum\ of\ width\ of\ all\Kindles}{8} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all \ Kindles=4.8\times8\\ \\ Sum\ of\ width\ of \ all\ Kindles}=38.4

b) Thus, total width of the Kindles are 38.4 inches.

Combined width of both I-pad and Kindles = 61.2 + 38.4 = 99.6 inches

Combined number of observations = 12 + 8 =20

Combined mean of width of the 12 I-Pads and 8 Kindles = Combined width of both I-pad and Kindles \div Combined number of observations

Combined mean of width of the 12 I-Pads and 8 Kindles = \frac{99.6}{20} =4.98\ inches

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5 0
3 years ago
The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of
lilavasa [31]

Answer:

1.\boxed{\text{400 ft}^{2}}; 2. \boxed{\frac{1}{3716}}

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is  

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is  

A = l² = (20 ft)² = \boxed{\text{400 ft}^{2}}\\

Step 2. Calculate the area ratios

We must express both areas in the same units.  

Let's express the area of the room in square centimetres.

l = 20 ft ×  (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

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The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\

The ratio of the area in the drawing to the actual area is \boxed{\frac{1}{3716}}

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Step-by-step explanation:

<u>explanation</u>:-

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so -2 ( -3+7) = -2(-3) + (-2)(7)

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give data we will use distributive property of multiplication

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3 years ago
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Answer:

Step-by-step explanation:

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6 0
3 years ago
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