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."

Step-by-step explanation:

We have (x + y)² = (x + y)(x + y) = x² + 2xy + y².

Let x be 3a and y be 2.5b.

Therefore (3a + 2.5b)²

= (3a)² + 2(3a)(2.5b) + (2.5b)²

= 9a² + 15ab + 6.25b².

Hence the '*' sign should be replaced with 15ab.

Answer:

Given that, ( 3a + 2.5b )² = 9a² + 6.25b² + *

We know that, ( x + y )² = x² + y² + 2xy

According to the above problem, we get

( 3a + 2.5b )² = (3a)² + (2.5b)² + (2×3a×2.5b)

( 3a + 2.5b )² = 9a² + 6.25b² + 15ab

Therefore,

The sign " * " should be 15ab.

Answer:

98

Step-by-step explanation:

Given: The ratio of dimes to quarters in a money bag is 12.2

Also, there are 8 quarters.

To find: Number of dimes

Solution:

Number of dimes : Number of quarters = 12.2

Number of dimes : 8 = 12.2

Therefore,

Number of dimes = 12.2 × 8 = 97.6 ≈ 98

Answer:

Step-by-step explanation:

To divide fractions, multiply by the reciprocal.

So we have:

2/3 x 12/6 = 24/18 = 4/3 = 1 1/3

Answer:

6623 AU

Step-by-step explanation:

I assume the angle measure 0.000302 is in radians.

Draw a segment from the Sun to the Star.

Use the upper small triangle.

The angle at the Star measures 0.000151 radians.

The opposite leg measures 1 AU.

We need the hypotenuse which is the distance from the Star to Earth.

sin A = opp/hyp

sin 0.000151 rad = 1/x

x sin 0.000151 rad = 1

x = 1/(sin 0.000151 rad)

x = 6623

Answer: 6623 AU

Answer:

y = 1

Step-by-step explanation:

Substitute -10 for x so the equation would be y=2/5-10-3

that would then be y=4-3

which would equal 1

Answer:

jhg hstu35kk4t6ek

3tnk63e6oktelrt

Step-by-step explanation:

4n5kdti3eo5

Answer:

Step-by-step explanation:

Since we are given the starting position of the line segment and the length we can simply add or subtract the total length of the line segment to the x or y starting position. This would give us all the possible endpoints that are exactly 5 units away from the starting position in every direction. We can either add or subtract because this would give us the left, right, up, and down directions from the starting position. After making these changes we are left with the following four possible endpoints.

(-1 , -12)

(9 , -12)

(4, -17)

(4, -7)

Answer:

19,000 pa.

Step-by-step explanation:

I hope this helps

Answer:

1/250

Step-by-step explanation:

0.4% in fraction form is 0.004

or 4/1000

4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)

Answer:

(x)4

Step-by-step explanation:

(x) is the amount of weeks and 4 is the amount of money that is saved every week.

Answer:

The third option

Step-by-step explanation:

60+y=180

y=120

Answer:

y = 120

Step-by-step explanation:

Answer:

y=6x-8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

Cost of a bag popcorn = $6.5

Step-by-step explanation:

Given:

Number of popcorn bags sold by Troy = 28

Number of candy bar sold by Troy = 40

Number of popcorn bags sold by Jake = 17

Number of candy bar sold by Jake = 20

Amount Troy earn = $282

Amount Jake earn = $160.5

Find:

Cost of a bag popcorn

Computation:

Assume;

Cost of a bag popcorn = a

Cost of a candy bar = b

28a + 40b = 282..........eq1

17a + 20b = 160.5...............eq2

eq2 x 2

34a + 40b = 321.........eq3

eq3 - eq1

6a = 39

a = 6.5

Cost of a bag popcorn = $6.5

Answer:

3 3/5 meters (B)

Step-by-step explanation:

Since this is perimeter, you must find the "outside".

The top side: 1/4 * 4 = 1

Left side: 1/5 * 4 = 4/5

Bottom: 1

Right side: 4/5

Add them up!

1 + 1 + 4/5 + 4/5

2 8/5

3 3/5

B!

Answer:

35,.......,..............

Answer:

$10000 Total cost to transport 14 tons

Step-by-step explanation:

The total cost C(S) = $6500 + ($250/ton)S.  This is a linear function with initial value $6500 and slope $250/ton.

C(14) = $6500 + ($250/ton)(14) = $10000 = Total cost to transport 14 tons

Answer:

hello! the answer is below!

Step-by-step explanation:

Let's write the equation.

6500 + 250s = c

Now put in our value for s.

6500 + 250 · 19 = 4750

The answers are

6500 + 250s = c

And

4750

Hope this helps! :)

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

the answer is x= 4

AB and CD are the same length

8x-1 =31

8x=32

x=4

Answer:

1310

Step-by-step explanation:

Answer:

7.63

(Hope this helps! Btw, I am the first to answer.)

Step-by-step explanation:

you have to add 5 and 2 which is 7 and decide by 3 or estimate

Answer:D

Step-by-step explanation:

Answer:

1,73205

Step-by-step explanation:

First, count out the five decimal places, and then look at the sixth place:

[tex]\sqrt{3}[/tex] ≈ 1,73205 | 0807...

The sixth decimal is less than 5, so we round to the smaller side.

9514 1404 393

Answer:

  2310

Step-by-step explanation:

Assuming "this particular sale" totals 33000 in its entirety, the commission is ...

  20% × 33000 = 6600

The amount of that going to the savings account is ...

  35% × 6600 = 2310

The amount invested is 2310.

Answer:

2

Step-by-step explanation:

√(-8-8)^2 +(10+4)^2=

✓-32+28

✓4

=2

Answer:

missing length is 6x - 1

Step-by-step explanation:

To find missing length, add two known sides and subtract from perimeter

(15x - 2) - (4x + 4 + 5x - 5)

(15x - 2) - (9x - 1) = 6x - 1

Answer:

D because non of them work lol

Step-by-step explanation:

Hope this Helped

Answer:

B. linear equation

Step-by-step explanation:

How can you tell that whether the equation is linear or nonlinear?

Using an Equation

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

y = -5x + 12 has no exponents that's why it is a linear equation.

Hope this helps:)

Answer:

Step-by-step explanation:

[tex]A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2[/tex]

Answer:

150 ft

Step-by-step explanation:

You use Pythagoras theorem to work out the base of the triangle.

<3

Answer:

See below.

Step-by-step explanation:

It is similar because the order of operations is the same for fractions and for whole numbers.

It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.