The regular admission price to an amusement park is $28. You have a
coupon for 25% off the regular admission. Find the total cost of admission
to the park when the sales tax is 6% of the reduced price.

Answer:

Check the last answer...

Step-by-step explanation:

Look at image above...

Answer:

4,650.

Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate is of [tex]\pi = 0.61[/tex], while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2[/tex]

[tex]n = 1015.5[/tex]

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

a)  0.905 (3 dp)

Step-by-step explanation:

Binomial distribution X ~ B(n, p)

where n is the the number of trials and p is the probability of success

Binomial formula:

[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]

Given:  X ~ B(100, 0.001)

Therefore, n = 100 and p = 0.001

Substituting these values into the binomial formula and solving for x = 0:

[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]

[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]

[tex]\implies P(X=0)=0.9047921471...[/tex]

[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]

Step-by-step explanation:

the ratio that relates two given values in what is known as a proportional relationship.

self explainatory

Answer:270

Step-by-step explanation:

Length:

U = 3 inches

W = 7 inches

Y = 8 inches

Add them up: 18 inches all together.

Width:

V = 4 inches

X = 7 inches
Z = 4 inches

Add them up: 15

A= L x W —>  15 x 18 = 270

Answer:

angle 1=angle 4 ( vertical opposite angle)

Answer:

The mass of the ring is 12 grams.

Step-by-step explanation:

Total 20 parts

Gold 3/4 total mass (15/20)

3/4=9g

1/4=3g

4/4=12g

Answer:

mass of the ring = 12 g

Step-by-step explanation:

Given ratio

gold : palladium : nickel : zinc = 15 : 2 : 2 : 1

Add the ratios:  15 + 2 + 2 + 1 = 20

Therefore, as a fraction, gold is [tex]\sf \dfrac{15}{20}=\dfrac34[/tex] of the total mass of the ring.

Let the mass of the ring = x

As the ring containts 9 g of gold

[tex]\sf \implies \dfrac34x=9[/tex]

[tex]\sf \implies x=9 \cdot \dfrac43[/tex]

[tex]\sf \implies x=12[/tex]

Therefore, the mass of the ring is 12 g

comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.

Answer:

 2a2 • (a + 1) • (a - 3)

Step-by-step explanation:

The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.

The equation provided in the problem is,

[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Let the simplified form of the above expression is n. Thus,

[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Rewrite the equation to solve it further as,

[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]

The square of the term cancel out the square root of it. Thus,

[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]

Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

Learn more about the simplified form here;

https://brainly.com/question/1597694

Answer:

4.8 ounces

Step-by-step explanation:

X= number of ounces for the $3.00 mixture of seasoning

$3.00/OZ + $1.75/ OZ = $2.00/ OZ We are adding the seasonings together to produce the 24 OZ mixture

X + 24-X = 24OZ To get the missing term we will subtract what we have from X

100 [(3.00)(X) + (1.75)(24-X)] = [(2.00)(24)] 100 to get rid of the decimals multiply both sides by 100

(300)(X) + (175)(24-X) = (200)(24) Multiply on each side, removing the parenthesis

300X + 4,200 - 175x = 4,800 Get all of the X's on one side of the equation remember to change the sign of 4,200

300X - 175X = 4,800 - 4,200 Combine Like Terms

125X = 600 Get X alone

125 125 To get X, we will divide both sides by 125

X = 4.8 OZ

The chef used 4.8 ounces of the $3.00 seasoning

Answer:

3.0625[tex]\pi[/tex] ft^2

Step-by-step explanation:

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]1.75^2

A=3.0625[tex]\pi[/tex]

3.0625[tex]\pi[/tex] ft^2

Answer:

Just substitute the values in!
(-5/9) + (-4/3) - 2/3 = - 5/9 - 12/9 - 6/9 = -23/9.

t = 180 - 66 - 57 = 57°

The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.

Contract profit,   (P)* of profit, (P)* to break even loss, (P)* of loss

The company which will give the maximum profit probability and minimum loss probability will be the best investment.

In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.

Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

It's A. Southeast

Step-by-step explanation:

Answer:

(0, 0) : traveling 0 inches in 0 seconds

(1, 1.5) : traveling 1.5 inches in 1 second

(3, 4.5) : traveling 4.5 inches in 3 seconds

The unit rate is

1.5 inches a second

1.5 / 1 i think thats how you write it

Answer: 31

Step-by-step explanation:

25+6 which equals the answer 31!

Answer:

101828.833333

Step-by-step explanation:

you have to multiply the two numbers then divide by 12

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

Read more about Speed

https://brainly.com/question/4931057

This refers to the tax paid to a governing body for the sales of certain goods and services.

In  Williamson County, the sales tax rate is 9.75% = 9.75% × $1,000 = $1,097.5

In Davidson County , the sales tax rate is 9.25% =  9.25%  × $1,000 = $1,092.5

The amount saved will therefore be $1,097.5 - $1,092.5 = $5.

Read more about Sales tax here https://brainly.com/question/9437038

Answer:

given ,

number of coins in bag A = 5x

number of coins in bag B = 3x

_____________________________________

According to Question ,

8 coins are taken from Bag B and put into Bag A

The ratio of coins in Bag A to Bag B is now 11 : 5

therefore ,

[tex] \frac{5x + 8}{3x - 8} = \frac{11}{5} \\ \\ 5(5x + 8) = 11(3x - 8) \\ \\ 25x + 40 = 33x - 88 \\ \\ 33x - 25x = 40 + 88 \\ \\ 8x = 128 \\ \\ x = \cancel\frac{128}{8} \\ \\ \fbox{x =16} [/tex]

now ,

[tex]no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}[/tex]

[tex]number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}[/tex]

[tex]total \: number \: of \:coins = 80 + 48 \\ \dashrightarrow{ 128 \: coins}[/tex]

hope helpful :D

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

The height is 36, but since the units are feet, it is 36 feet.

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

Here,

To calculate :

We have :

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,

Check the picture below.

Answer:

?????

Step-by-step explanation:

Based on the amount that London deposited every month and the number of years involved, London would have $57,515.16.

The amount that London deposits every month is an annuity because it is a fixed amount.

The value in 11 years is therefore the future value of an annuity which can be found as:

= Amount x ( (1 + rate) ^ number of periods - 1) / rate

The number of periods is:

= 11 years x 12 months

= 132 months

Future value is:
= 320 x ( ( 1 + 0.45%)¹³² - 1) / 0.45%

= $57,515.16

Find out more on annuities at https://brainly.com/question/9293270.

Answer:

The highest common factor of 30 and 45 is 15.

Step-by-step explanation:

factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)

Greatest common factor is 15

Answer:

15.

Step-by-step explanation:

HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.

     3    30         45

      5    10          15

            2             3

3 × 5 = 15

The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).

Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.

An example of equivalent statement besides the one given already is:

A cat is an animal.

A pet is an animal you own.

Therefore owning a cat is the same as owning a pet.

Therefore:

If Jake owns a cat then he owns a pet.

If Jake doesn't own a pet then he doesn't own a cat.

Learn more about Equivalent Statement at:
https://brainly.com/question/24797020

Answer:

I need to know the dimensions to solve

Answer: c-3

Step-by-step explanation:

it is wanting you to take c minus 3