A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points.
Which one would be a true statement?
A. The statement indicates that the study is 100%−3​%=97​% confident that the true population percentage of people that prefer chocolate pie is 11​%
B. The statement indicates that the interval 11​%+3​% is likely to contain the true population percentage of people that prefer chocolate pie.
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%±3​%.
D. The statement indicates that the study is only 3​% confident that the true population percentage of people that prefer chocolate pie is exactly 11​%.

Answer:

a^5.

Step-by-step explanation:

a^12 / a^7 = a^(12 - 7) = a^5.

Hope this helps!

Answer:

8

Step-by-step explanation:

the one that the number has are the same is the data

The standard deviation of the data set is 1.6

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

Here, given data

data(x)      frequency(f)                     xf                 d² = (x-mean)²       fd²

6                       2                               12                       4                       8

8                       3                               24                      0                       0

9                       1                                9                         1                       1

11                       1                                11                        9                      9

mean = ∑xf / ∑f

          = (12+24+9+11)/(2+3+1+1)

          = 56 / 7

mean = 8

Variance = ∑fd²/∑f

               = 18 / 7

              = 2.57

Standard Deviation = √variance

                                = √2.57

                               = 1.6

Thus, the standard deviation of the data set is 1.6

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Answer:

72 inch²

Step-by-step explanation:

Rectangular classroom

Length=36ft

Width=32ft

scale drawing length = 9 inches

Scale drawing width=x

Ratio of the length to the scale drawing length = 36/9

Ratio of the width to the scale drawing width=32/x

To find x

36/9=32/x

Cross product

36x=32*9

x=288/36

=8

x=8

Area of a rectangle= length × width

Length=9 inches

Width=8 inches

Area of the rectangular classroom= 9 inches × 8 inches

=72 inch²

Answer:

x = 5.4

Step-by-step explanation:

Multiply 7.2 by 3/4 to find the equivalent ratio.

Answer:

Step-by-step explanation:

[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]

Apply cross product property

[tex]4x = 7.2 \times 3[/tex]

Multiply the numbers

[tex]4x = 21.6[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]

Calculate

[tex]x = 5.4[/tex]

Hope this helps..

best regards!!

Answer:

[tex]a^2+2ab+b^2[/tex]

Step-by-step explanation:

If we have [tex](a+b)^2[/tex] we can calculate this as:

[tex](a+b)*(a+b)[/tex]

So, applying distribution property, we get:

[tex](a+b)*(a+b)=a*a+a*b+b*a+b*b[/tex]

Where:

[tex]a*a=a^{2}[/tex]

 [tex]b*b=b^2[/tex]

[tex]a*b=b*a=ab[/tex]

so:

[tex](a+b)*(a+b)=a^2-ab+ab+b^2\\(a+b)*(a+b)=a^2+2ab+b^2[/tex]

Answer:

Step-by-step explanation:

The equation of a linear function:

y = mx + b

m - slope

b - y-intercept

x = 3 - it's a vertical line. It's not equation of a linear function

y = 16 - it's a horizontal line. It's an equation of a linear function

where m = 0, b = 16

y = -3x + 10 - it's an equation of a linear function

where m = -3, b = 10

y = 3x² + 1 - it's a quadratic function ( x² ).

Answer:

y = 16 and y = -3x + 10

Step-by-step explanation:

hello

Answer:  n< 3

Step-by-step explanation:

5n - 14 < 1 .  add 14 to both sides

5n -14 +14 < 1 + 14

5n +0 < 15

5n < 15   divide both sides by 5 .5n/5 = 15/5

n < 3

Answer:

provide a valid passport

Step-by-step explanation:

Answer:

be a us citizen

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.

Answer:

Step-by-step explanation:

9-5=4

8*4*10=320

5*10*3=150

320+150=470

470 cm³

Answer:

A

Step-by-step explanation:

If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.

Hope this helps!! <3

The price of a senior citizen and child ticket is required.

The correct option is A) senior citizen ticket: $13, child ticket: $5

Let [tex]x[/tex] be the price of senior citizen ticket

[tex]y[/tex] be the price of child ticket

The equations will be

[tex]10x+8y=170[/tex]

[tex]10x+11y=185[/tex]

Subtracting the equations

[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]

Finding [tex]x[/tex]

[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]

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Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

The largest x that satisfies

[tex]3x^2+17x+15=5[/tex]

is the largest solution to

[tex]3x^2+17x+10=0[/tex]

We have

[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]

[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]

and so the largest value of x we want is -2/3.

Answer:

Step-by-step explanation:

The length is 3 × width.

l = 3w

The perimeter is 24 centimeters.

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

3 = w

The width is 3 centimeters.

l = 3(3)

l = 9

The length is 9 centimeters.

Area is l × w.

A = l × w

A = 9 × 3

A = 27

The area is 27 squared centimeters.

Answer:

27

Width= x

Length= x × 3 =3x

so, 3x+3x+x+x=24

8x=24

x=24/8

x=3

so, length=3(3)=9

width=3

therefore,

Area=9×3

=27

try this answer good luck

Answer:

Answer:  1/2

Step-by-step explanation:

Given : Figure B is a scaled copy of Figure A.

We know that the scale factor is the ratio of the corresponding sides of two similar figures.

From , the graph we assume that that one point = one unit of length.

Then, the dimension of one side of figure A = 4 units and the  dimension of  corresponding side of Figure B = 2.

Then, the scale factor is given by:

k = 2/4 = 1/2

Hence, the  scale factor is 1/2

Answer:

[tex]x + 0.05x = 15[/tex], solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.

Hope this helped!

Answer:

x + 0.05x = 15; x = $14.29

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

Answer:

$8

Step-by-step explanation:

Answer:

B∠119°

Step-by-step explanation:

Well first we need c.

And c + 112 = 180

So -112 is c = 68

68 + 51 + a = 180

68+51 = 119 + a = 180

a = 61

b + 61 = 180

b = 119

Answer: C. 71,224,900

Based on the power, move the decimal point that many spaces to the right. (e.g., If it's 7.9 × 10^3, then move the decimal three spaces to the right, and you'd get 7900.)

3.14159 × 10^7 = 31415900

9.897752 × 10^6 = 9897752

2.468 × 10^7 = 24680000

Out of all the numbers mentioned in the question, 71,224,900 is the only one that's greater than 3.14159 × 10^7 = 31415900.

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

Answer:

60%

Step-by-step explanation:

LETS MAKE IT INTO A FRACTION

FIRST LETS CALCULATE HOW MUCH SHE SPENT

=240/600

WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10

=24/60

LETS DIVIDE BY 6

=4/10

DIVIDE BY 2

=2/5

NOW LETS CALCULATE HOW MUCH SHE HAS LEFT

THE EASIEST WAY IS TO SUBTRACT

5/5-2/5=3/5

3/5 IS ALSO EQUAL TO 60/100

SO KAREN HAS 60% OF HER MONEY LEFT

HOPE I HELPED

PLS MARK BRAINLIST

(DESPERATELY TRYING TO LEVEL UP)

        ✌

Answer:

6n or 6 x n

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

It adds 3 every time and starts with -38. Our equation is:

a52 = -38+3(52-1);

a52 = -38 + 153

a52 = 115

Answer:

115

Step-by-step explanation:

→ First we need to work out the nth term. First we find the difference between each term

-38, -35, -32, -29... ⇔ +3

→ We know the first bit is 3n now we have to find the other section. We need to write the 3 times tables on top of each corresponding term

3 ,   6   ,  9  , 12

-38, -35, -32, -29...

→ We can see the to get from 3 to -38 we minus 41. So the nth term is

3n - 41

→ Now we substitute in 52 for n

3 × 52 - 41

→ Simplify

115

Answer:

Step-by-step explanation:

[tex] \mathrm{9 \div \frac{2}{3} }[/tex]

To divide by a fraction, multiply by the reciprocal of that fraction

[tex] \mathrm{ = 9 \times \frac{2}{3} }[/tex]

Calculate the product

[tex] \mathrm{ = \frac{27}{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\boxed{13\frac{1}{2} }[/tex]

Step-by-step explanation:

[tex]9 / \frac{2}{3}[/tex]

Changing "division" into "multiplication" and inverting the term after it:

[tex]9 * \frac{3}{2}[/tex]

[tex]\frac{9*3}{2}[/tex]

[tex]\frac{27}{2}[/tex]

=> [tex]13\frac{1}{2}[/tex]

Answer:

73 degrees

Step-by-step explanation:

Given

A Shaped Frame of two congruent sides

Required

Determine the angle made with the ground

Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;

Let the two angles made with the ground be represented by x

Angles in a triangle when added equals 180;

Hence;

[tex]x + x + 34 = 180[/tex]

[tex]2x + 34 = 180[/tex]

Subtract 34 from both sides

[tex]2x + 34 - 34 = 180 - 34[/tex]

[tex]2x = 180 - 34[/tex]

[tex]2x = 146[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{146}{2}[/tex]

[tex]x = \frac{146}{2}[/tex]

[tex]x = 73[/tex]

Hence, the angle with the ground is 73 degrees

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of a line from given a Slope and a point is

y - y1 = m(x - x1)

Where ( x1 , y1) is the point

Equation of the line using point (-6 , -5) and slope 6 is

Hope this helps you

Answer:

The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.

Step-by-step explanation:

Answer:

Mode:The number whose repetaed the most is the set (there can be multiple)

Range: The largest number minus the smallest = The range

Answer:

A. 25°

Hope it helped

Answer:

The answer is 1.514571894×10^21.

Step-by-step explanation:

Here, the divisors of 288 are,

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.

now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288

=1.514571894×10^21.

is answer.

Hope it helps...

Answer:

Step-by-step explanation:

2 * 3 * 4 * 6 * 8 * 9 * 12 * 16* 18 * 24 * 32 * 36 * 48 * 96 * 144

Some teachers would include 288. I would not.

You can get the actual answer by using the calculator that came with your computer. An ordinary calculator will not work because the answer will come out in scientific notation.

657,366,253,849,018,368 is the answer.

Answer:

4.5%

Step-by-step explanation:

Simple interest:

I = Prt

112.5 = 1250(r)(2)

1250r = 56.25

r = 0.045 = 4.5%

Answer: 4.5%