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Alenkasestr [34]
3 years ago
15

The population of the United States is aging, though less rapidly than in other developed countries. Here is a stemplot of the p

ercents of residents aged 65 and over in the 50 states, according to the 2000 census. The stems are whole percents and the leaves are tenths of a percent.
5 7
6
7
8 5
9 679
10 6
11 02233677
12 0011113445789
13 00012233345568
14 034579
15 36
16
17 6
(a) There are two outliers: Alaska has the lowest percent of older residents, and Florida has the highest. What are the percents for Florida?
A. 17.6%
B. 176%
C. 5.7%
Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

Option A. 17.6%

Step-by-step explanation:

Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;

it means that 5 is whole percent and 7 will be written as  \frac{7}{10} = 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.

Now the highest percent of older residents for Florida will be the last stem leaf in the data given as 17 + 0.6 will represent 17.6% which is the highest among all others.

5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.

Therefore option A id correct with 17.6% percent as of Florida.

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A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num
yKpoI14uk [10]

Answer: hypotenuse = c^{2} + b^{2}

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (s_{1},s_{2}) of the right triangle, .i.e.:

h^{2} = s_{1}^{2} + s_{2}^{2}

In this question:

s_{1} = c^{2}-b^{2}

s_{2} = 2bc

Substituing and taking square root to find hypotenuse:

h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}

Calculating:

h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}

h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}

c^{4}+b^{4}+2b^{2}c^{2} = (c^{2}+b^{2})^{2}, then:

h=\sqrt{(c^{2}+b^{2})^{2}}

h=(c^{2}+b^{2})

Hypotenuse for the right-angled triangle is h=(c^{2}+b^{2}) units

3 0
3 years ago
The length of a rectangle is 4 cm longer than the width of the rectangle. The perimeter of the rectangle is 88 Centimeters.What
Tcecarenko [31]
Im not sure but I think the answer is 9.4cm2
8 0
3 years ago
ASAP WHO EVER ANSWER THESE WILL BE MARKED BRANLIEST
valentinak56 [21]

Answer:

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Step-by-step explanation:

3 0
3 years ago
The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
Which has the greatest value
jok3333 [9.3K]
C has the greatest value
6 0
3 years ago
Read 2 more answers
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