A polling firm wants to use a one-sample z interval to estimate what proportion of voters in a country plan on
voting for a certain candidate. They want the margin of error to be no more than £3% at 99% confidence.
What is the smallest sample size required to obtain the desired margin of error?

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

Answer:

C. 2 [tex]\frac{4}{5}[/tex] cups

Step-by-step explanation:

We want 3.5 (3 1/2) cups of sugar that serves 60 people to serve 48 people instead. So we use proportions. Set it up:

[tex]\frac{x}{3.5} = \frac{48}{60}[/tex]

60x = 168 (48 x 3.5)

/60     /60

x = 2.8 cups of sugar serves 48 people.

Change 2.8 into fractions: 2 [tex]\frac{4}{5}[/tex]

Answer:

D

Step-by-step explanation:

[tex] \sin(30) = \frac{n}{ \frac{10 \sqrt{3} }{3} } \\ 0.5 = \frac{n}{5.77} \\ n = 2.88 = \frac{5 \sqrt{3} }{3} [/tex]

[tex] \cos(30) = \frac{m}{ \frac{10 \sqrt{3} }{3} } \\ 0.866 = \frac{m}{5.77} \\ m = 5[/tex]

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

60%

Step-by-step explanation:

Answer:

385 yards

Step-by-step explanation:

From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.

220 yards + 165 yards = 385 yards

Answer:

1. 14x

2. 5x + 3x

Step-by-step explanation:

1) 4x + 10x = 14x

2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.

Answer:

32

Brainiest plz?  :)

Answer:

Um...

Step-by-step explanation:

Hai

Answer:

Step-by-step explanation:

A dollar is 100 cents

3/8 = .375

0.375 * 100 = 37.5

Rounded it is 38 cents.

Answer:

(3, 2 )

Step-by-step explanation:

Given the 2 equations

4x + y = 14 → (1)

5x + 2y = 19 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 8x - 2y = - 28 → (3)

Add (2) and (3) term by term to eliminate y

- 3x + 0 = - 9

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

4(3) + y = 14

12 + y = 14 ( subtract 12 from both sides )

y = 2

solution is (3, 2 )

Step-by-step explanation:

[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]

[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]

Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.

[tex] \text{5x + 2y = 19}[/tex]

[tex] \text{ - 8x - 2y = - 28}[/tex]

_____________________

[tex] \text{ - 3x = - 9}[/tex]

Solve for x :

⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]

⤑ [tex] \tt{x = 3}[/tex]

Now , substitute the value of x in equation ( ii ) :

⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]

⟼ [tex] \text{15 + 2y = 19} [/tex]

⟼ [tex] \text{2y = 19 - 15}[/tex]

⟼ [tex] \text{2y = 4}[/tex]

⟼ [tex] \text{y = 2}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

2.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/4 :10=1/40

1/40=x/4

x=4/40=1/10

Answer:

x = 16

Step-by-step explanation:

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

Answer:

(8,5)

Step-by-step explanation:

quadratic formula

Answer:

[tex]1) y=2x\\2) y=x+3[/tex]

Step-by-step explanation:

[tex]1) y=2x\\2) y=x+3[/tex]

Hope I helped!

Check out my profile for more answers!

Answer:

28

Step-by-step explanation:

Ratios are like fractions. Since you're finding an equivalent ratio, u can set them up like equivalent fractions and put an x where the missing number would go:

[tex]\frac{1}{7} = \frac{4}{x}[/tex]

You can either cross multiply and then solve for x, but it's easier to just think about it. The fractions are equivalent, right? So for them to be the same you'd have to do to the bottom what u do to the top.

To get from 1 to 4, you multiply by 4. By that logic, to get from 7 to x you'd have to multiply by 4 as well. Therefore x = 7x4, which is 28.

So x = 28

Answer:

Yes

Step-by-step explanation:

g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)

(1) × 4

4y = - x + 1

x = - 4y + 1

y = - 4x + 1

f(x) = - 4x + 1

∴ f(x) and g(x) are inverses

$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.

equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.

Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -

P x R x (1+R)^N / [(1+R)^N-1] where-

P = Principal loan amount.

N = Loan tenure in months.

R = Monthly interest rate.

R = Annual Rate of interest/12/100.

Putting these values in above equation

EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]

EMI = 9436

Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%

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Answer:

djdjfjfjfhfhfhd ch fmdknfrus M dnqjw

Answer:

a. $73.50

b. $1298.45

Step-by-step explanation:

6% of $1224.95 is $73.50

add them and it's $1298.45 total

Answer:

x= 8.5, 2x=17, (9x+5)=81.5

Step-by-step explanation:

since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:

[tex]2x + 2(9x+5) = 180[/tex]

next distribute the 2 to 9x + 5.

[tex]2x + 18x + 10 = 180[/tex]

next combine like terms (2x and 18x) and subtract 10 from 180.

[tex]20x = 170[/tex]

finally, divide 170 by twenty.

[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]

the final answer is x=8.5

once x is determined, you can solve 2x and 9x+5.

[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]

Answer:

[tex]y = 3(7)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (4,7203)[/tex]

Required

Determine an exponential function

Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]

[tex]3 = ab^0[/tex]

[tex]3 = a*1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]

[tex]7203= ab^4[/tex]

Substitute 3 for a

[tex]7203= 3*b^4[/tex]

Divide both sides by 3

[tex]2401= b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{2401} = b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]

[tex]y = 3(7)^x[/tex]

The nearest hundredth is  1.45.

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.

Find −2.45−(−3.9)

Remove the parenthes:

-2.45+3.9

calculate the sum or diffrerece

1.45

round the number 1.45

The answer is 1.45

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The decimal point is the dot that separates the whole number from the fractional part of the number.

The decimal to the nearest hundredth exists 1.45.

Integer and non-integer numbers are often expressed using the decimal numeral system.

Decimals are a type of number in algebra that have a whole number and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional part of the number.

The term "decimal" refers to the base-10 number system, which is arguably the most widely used. The ten single-digit numbers that make up the decimal number system are 0 through 9, or just 1, 2, 3, 4, 5, 6, and 7. 10 is the number that follows 9. 20 comes follows the number 19, and so on.

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.

Let the given equation be −2.45 − (−3.9)

= -2.45+3.9

simplifying the above equation, we get

= 1.45

Therefore, the decimal to the nearest hundredth exists 1.45.

The complete question is:

Find -2.45-(-3.9). Write your answer as a decimal to the nearest hundredth.

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Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y