A recent Gallop poll showed that 672 of 1019 adults nationwide think that marijuana should be legalized. a) Find the margin of error that corresponds to a 95% confidence interval.

Answer:

x=5

Step-by-step explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

Answer:

symmetric

Step-by-step explanation:

its correct.

Answer:

B symmetric

Step-by-step explanation:

Answer:

answer is c Find the optimum production quantity maximize profit

Answer:

120

Step-by-step explanation:

entree has 6 letters so 6! in numerator and e repeated 3 times so 3! in denominator.

Answer:

The missing length is 8

Step-by-step explanation:

Represent the missing length with x

The non-parallel sides of the given shape are directly proportional.

Mathematically:

3 to 6 and 4 to x

Represent as a ratio:

[tex]3 : 6 = 4 : x[/tex]

Convert to fraction

[tex]\frac{3}{6} = \frac{4}{x}[/tex]

Cross Multiply:

[tex]3 * x = 6 * 4[/tex]

[tex]3x = 24[/tex]

Divide through by 3

[tex]x = \frac{24}{3}[/tex]

[tex]x = 8[/tex]

The length of the missing side is 8

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]

Required

To rationalize

To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

This gives:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]

[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]

Express [tex]\sqrt{121[/tex] as 11

[tex]\frac{2\sqrt{110}}{3*11}[/tex]

[tex]\frac{2\sqrt{110}}{33}[/tex]

Hence:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]

area

i took the test and got a 100                                          

Answer:

area, 244.4

Step-by-step explanation:

sorry it late

Answer:

21 meters

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

9514 1404 393

Answer:

  -11/2x -5/12

Step-by-step explanation:

Eliminate parentheses and collect terms.

  9/4 -2(4x +4/3) +5/2x . . . . given

  = 9/4 -8x -8/3 +5/2x

  = (-16/2 +5/2)x +27/12 -32/12 . . . . use common denominators

  = -11/2x -5/12

Answer:

what is value of f in given function

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x - 2) = 12

Step 2: Solve for x

Answer:

4 bags of purple beads and 3 bags of indigo beads.

Step-by-step explanation:

Total number of beads = 21 beads'

Total bags of beads = 4 bags

Purple beads = 3 purple beads

Indigo beads = 6

Let x be each bags of purple beads

Let y be each bags of indigo beads

Since there are 4 bags of bead then;

x + y = 4 ....1

If some of the bags contain 3 purple beads and the rest contain 6 indigo beads, then;

3x + 6y = 21

x + 2y = 7.....2

Subtract 1 from 2

y - 2y = 4 - 7

-y = -3

y = 3

Sunce x + y =7

x = 7-y

x = 7-3

x = 4

Hence there are 4 bags of purple beads and 3 bags of indigo beads.

Answer:

The probability answer is 69/100

Step-by-step explanation:

The probability of waiting 2 minutes or longer = 0.3= (3/10)

The probability of not waiting longer = 1 - (3/10) = (7/10)

For the man,

P(waiting 2 mins or longer) = 3/10

For the woman,

P(waiting 2 mins or longer) = 3/10

Therefore,

The probability that one or the other or both will wait 2 minutes or longer

= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)

= (3/10) or (3/10) or ( (3/10) and (3/10) )

= (3/10) + (3/10) + ( (3/10) X (3/10) )

= (6/10) + (9/100)

= (69/100)

Answer:

$60

Step-by-step explanation:

so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets

Answer:

this number 6

Step-by-step explanation:

yes self 4

Answer:

yes

Step-by-step explanation:

because if you add correctly you will get the answer

Answer: 49cm squared *tiney 2 above cm*

Step-by-step explanation:

Answer:

nine and two fifths(  9 2/5 )

Step-by-step explanation:

i used a fraction calclulator

Answer:9.4

Step-by-step explanation:

Answer:

With what? there is nothing here

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

They do not have an amplitude.

Step-by-step explanation:

x²/(x²-9) + 1/(x-3) = 1/(4x-12)

4x² + 4(x+3) = 1

4x² + 4x + 11 = 0

Since the discriminant is negative, there are no real solutions.

Answer:

x=-5

Step-by-step explanation:

f(x)=-8x

f(x)=40

substitute f(x) with 40 in the first equation

40=-8x

s=-5 (slove)

Answer:

44

Step-by-step explanation:

Well if you see the picture

triangle 1 has an area of

[tex]\frac{3*4}{2}=6[/tex]

triangle 2 has an area of

[tex]\frac{3*4}{2}=6[/tex]

rectangle 3 has an area of

[tex]8*3=24[/tex]

and triangle 4 has an area of

[tex]\frac{2*8}{2}=8[/tex]

if we add then up

[tex]6+6+24+8=44[/tex]

Answer:

∠F = 80

Step-by-step explanation:

Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:

40 + 60 + ∠F = 180

100 +∠D = 180

subtract 100 from both sides

∠F = 80

Answer:

Step-by-step explanation:

(a)

From the given information:

Let An denote the amount in the account at the end of n month

Thus,

[tex]A_o[/tex] =1000

After the first month ends, interest = [tex]=A_o \times \dfrac{3}{100} \times \dfrac{1}{12}[/tex]

= [tex]0.0025A_o[/tex]

Additional deposit = $200

Now,

[tex]A_1 = A_o + 0.0025A_o + 200[/tex]

[tex]=1.0025A_o + 200 --- eqn(1)[/tex]

Interest after 2nd month, = [tex]A_1 \times \dfrac{3}{100} \times \dfrac{1}{2}[/tex]

Additional deposit = $200

[tex]A_2 = A_1 + 0.0025A_1 + 200[/tex]

[tex]=1.0025A_1 + 200 --- eqn(2)[/tex]

Thus:

[tex]A_n = 1.0025A_{n-1} +200[/tex]

(b)

From above;

[tex]A_1 = 1.0025A_ 0+ 200[/tex]

Thus;

[tex]A _2 = 1.0025A_ 1+ 200[/tex]

[tex]A_2 = 1.0025( 1.0025A_ 0+ 200)+ 200[/tex]

[tex]A_2 = 1.0025^2A_o +200 ( 1+1.0025)[/tex]

[tex]A _3 = 1.0025A_ 2+ 200[/tex]

[tex]A _3 = 1.0025( 1.0025^2A_o +200 ( 1+1.0025))+ 200[/tex]

[tex]A _3 = 11.0025^3A_o +200 ( 1+1.0025 + 1.0025^2)[/tex]

To continuity...

[tex]A_n = 1.0025^n A_o + 200 (1+1.0025 +1.0025^2 +...+ 1.0025^{n-1} ) ---- (3)[/tex]

Thus, we have a geometric term [tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1}[/tex]

where:

a = 1 (first term)

r = 1.0025>1 (common ratio)

Thus;

[tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1} = \dfrac{a(r^n -1)}{r-1}[/tex]

[tex]= \dfrac{1(1.0025^n -1)}{1.0025-1}[/tex]

[tex]= 400(1.0025^n -1)[/tex]

From equation(3)

[tex]A_n = (1.0025^n \times 1000) + 80000(1.0025^n -1)[/tex]

[tex]A_n = 1.0025^n \times 81000-80000[/tex]

Answer:

8 = f (13-2)

8=13f-2f

8=11f

8 / 11 = 11f / 11

8/11=f

f=8/11

Step-by-step explanation:

Answer:

Simplifying

8 = F + -1(13 + -2)

Combine like terms: 13 + -2 = 11

8 = F + -1(11)

Multiply -1 * 11

8 = F + -11

Reorder the terms:

8 = -11 + F

Solving

8 = -11 + F

Solving for variable 'F'.

Move all terms containing F to the left, all other terms to the right.

Add '-1F' to each side of the equation.

8 + -1F = -11 + F + -1F

Combine like terms: F + -1F = 0

8 + -1F = -11 + 0

8 + -1F = -11

Add '-8' to each side of the equation.

8 + -8 + -1F = -11 + -8

Combine like terms: 8 + -8 = 0

0 + -1F = -11 + -8

-1F = -11 + -8

Combine like terms: -11 + -8 = -19

-1F = -19

Divide each side by '-1'.

F = 19

Simplifying

F = 19

You would multiply each number by 20

Step-by-step explanation:

It says that right there

Answer:

The Perimeter of a rectangle will be:

P = 252 in

Hence, option (E) is true.

Step-by-step explanation:

Given the rectangle with the sides

We know that the Perimeter of a rectangle can be calculated using the formula

where l is the length, and w is the width

substituting  [tex]l[/tex] = 14-5, [tex]w[/tex] = 7×4

P = (14-5) × (7×4)

P = 9 × 28

P = 252 in

Therefore, the Perimeter of a rectangle will be:

P = 252 in

Hence, option (E) is true.

Answer:

There is no function since there is no association between all the numbers

Step-by-step explanation:

If you were to put them in a graph they would be every where and make there be no function.