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Marat540 [252]
1 year ago
8

Which of these groups of relative frequencies would be best represented by a pie chart?

Mathematics
1 answer:
SVETLANKA909090 [29]1 year ago
7 0

All of these would be perfectly fine represented by a pie chart except A, which doesn't add to 100%.

The question seems to be getting at the idea that a pie chart might be better when the slices are all visually different sizes. I don't really think that's right; a pie chart for D say, where the two slices are about the same, gives the correct impression of the relative frequencies, which are about the same.

Answer they're looking for: C

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JulsSmile [24]
You might want to stick to at most five questions at once, makes it easier for the rest of us. :)

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21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
23. It can be determined to be B just by tracking where point C would end up through the transformation.
24. A 180° rotation flips the signs on both components to give you (-1, 6).
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26. This is a reflection.

Need clarification on anything?
4 0
2 years ago
Read 2 more answers
g A sailing ship stopped at several islands, releasing one mating pair of goats onto each one. On the large island, the goats' g
PSYCHO15rus [73]

Answer:

The goat population reaches 1000 in 12.4 years

Step-by-step explanation:

After <em>t </em>years, the number of goats is given by

N = N_0e^{bt}

where N_0 is the initial number of goats and <em>b</em> is the per capita growth rate.

From the question,

  • N_0 = 2
  • <em>b</em> = 0.5
  • <em>N</em> = 1000

1000 = 2e^{0.5t}

e^{0.5t} = 500

0.5t = \ln 500 = 6.214

t = \dfrac{6.2}{0.5} = 12.4

5 0
1 year ago
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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T
Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample. In this problem, \sigma = 0.25

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

M = z*\frac{\sigma}{\sqrt{n}}

0.1 = 1.96*\frac{0.25}{\sqrt{n}}

0.1\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.1}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}

n = 24.01

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

M = z*\frac{\sigma}{\sqrt{n}}

0.06 = 1.96*\frac{0.25}{\sqrt{n}}

0.06\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.06}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}

n = 66.7

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

M = z*\frac{\sigma}{\sqrt{n}}

0.05 = 1.96*\frac{0.25}{\sqrt{n}}

0.05\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.05}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}

n = 96.04

Rounding up, 97

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1 year ago
A city determines that a planned community must have at least 4 acres of developed and open space, and the difference
FinnZ [79.3K]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----->  the number of open acres

y ---->  the number of developed acres

we know that

x+y \geq 4 -----> inequality A

x\leq 1 ----> inequality B

Remember that

if the number of open acres, x, can be no more than 1. then the number of open acres, x must be less than or equal to 1

Solve the system of equations by graphing

The solution is the shaded area (Note The number of acres cannot be a negative number)

The graph in the attached figure

3 0
1 year ago
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laiz [17]
<span>7x-6y=14
6x-y=-17
x = -4  y = -7 (SOLUTION) ; in ordered pair form (x,y) = (-4,-7)

</span><span>3x+8y=16
-9x-24y=-48
INFINITE SOLUTIONS: general form = (x,y) = ( x, -(3x/8)+2 )


Edited later:
</span>7x-6y=14
6x-y=-17
From second equation 6x - y = -17, we have y = 6x +17. Substitute this in the first equation to get
7x-6y=14
>> 7x-6(6x+17)=14
>> 7x-36x-102=14
>> 7x-36x=102+14
>> -29x=116
>> x=116/(-29)
>> x=-4

Now plug this value in y = 6x +17, to get
y = 6(-4) + 17 = -24 +17 = -7

So x = -4, y = -7 is the solution.
5 0
1 year ago
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