The cost of Samantha's 15th birthday party depends on the number guest. The hall charges $250 for the use of the hall plus $12 per guest. Write an equation for the total cost (y) for x number of guest.


If Samantha has 25 guest what is her total cost?

Answer:

D. (8,7)

Step-by-step explanation:

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that [tex]p = 0.95[/tex]

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135[/tex]

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Answer:

31/20 is already in the simplest form.

Step-by-step explanation:

It can be written as 1.55 in decimal form (rounded to 6 decimal places).

Answer:

500 - 20x = 220

Step-by-step explanation:

$500 is the base cost, and she withdraws $20 per week. $220 would be the final cost, so x represents the amount of weeks.

Answer:

500-20w=220

Step-by-step explanation:

w=14

it will take 14 weeks to have her balance at 220

-20w=220-500

-20w=-280

divide both sides by -20

w=14

Answer:

You need to the value of the letter "variable."

Step-by-step explanation:

Answer:

Huh? Can I get more details?

Step-by-step explanation:

Answer:

it equals =÷×{[lldelwlsllalao

First problem:

C

Second:

A

Third:

C

Answer:

42. 2

6.496

Step-by-step explanation:

Given the data :

21, 12, 3, 9, 11

Variance :

S² = Σ(x - m)² ÷ (n - 1)

n = sample size = 5

m = sample mean = Σx / n

m = (21 + 12 + 3 + 9 + 11) / 5

m = 11. 2

(21-11.2)² + (12 -11.2)² + (3 - 11.2)² + (9-11.2)²

+ (11-11.2)² / (5 - 1)

S² = 42.2

Standard deviation, s = sqrt(42.2) = 6.496

Answer:

Third one is

9.5

Step-by-step explanation:

Answer:

We always need an equation relating the given information to what is to be found. With this problem, we must assume that the giant model is proportional to the standard pencil.

3 m: 18 cm :: Vg:9 cm^3 where Vg is the volume of the giant pencil.

Before any calculations are performed all units must be the same.

The 3 m large pencil must be converted to cm. Each meter is 100 centimeters. Therefore: the proportion must be adjusted to:

300 cm : 18 cm :: Vg : 9 vm^3

300/18 = Vg/9 Now solve.

300 x 9 = 18 Vg By cross multiple

2700 = 18 Vg Divide both sides by 18

Vg = 2700/18 = 150 cm^3 = 0.00015 m^3

Conversion Factor: 1 cm^3 = 10^-6 m^3 Divide by 10^6.

Now Double Check

Step-by-step explanation:

Answer:

[tex]x=i[/tex]

(i.e., [tex]x[/tex] is a complex number)

Step-by-step explanation:

We have

[tex]wx^2+w=w(x^2+1)=0[/tex]

Then it must be that

[tex]x^2+1=0[/tex]

as we are told [tex]w[/tex] is a positive integer (i.e., [tex]w\neq 0[/tex]), then it follows that

[tex]x^2=-1[/tex]

which is the definition of the unit imaginary number ([tex]i^2=-1[/tex]), so we may conclude:

[tex]x=i[/tex]

Answer: it might be something like, descending slope, or declining slope, are there answer choices

Answer:

7200

Step-by-step explanation:

{1800× (90)} ÷ 495 ÷ -(-22)

= 162000÷ 495÷ 22

= 162000×22÷ 495

= 7200

Answer: a=15

Step-by-step explanation:

Answer: $120

Step-by-step explanation:

This is fairly easy if you use this solution to solve it

Take the $150 and multiply by 0.8

You multiply by 0.8 because you do

1-0.20 (20% off) to get 0.8

The equation will look like

$150(0.8)=$120

Answer:

17.5%

Step-by-step explanation:

Convert fraction (ratio) 17.5 / 100 Answer: 17.5%

Answer:

[tex] \boxed{\theta = 40 \degree}[/tex]

Step-by-step explanation:

[tex] \tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4[/tex]

Answer:

the letter " a " because uts just making the sentence a run on

9514 1404 393

Answer:

Step-by-step explanation:

Using the transformation ...

  (x,y) ⇒ (y, -x) . . . . . . rotation 90° CW

we have ...

  A(-4, 4) ⇒ A'(4, 4)

  B(-2, 4) ⇒ B'(4, 2)

  C( -2, 1) ⇒ C'(1, 2)

Answer:

$30.76

Step-by-step explanation:

Subtract the costs of her purchases from her total of 50:

50 - (14.99 + 3(4) + 2.25)

50 - (14.99 + 12 + 2.25)

50 - 29.24

= 20.76

Now, add the $10 that she found to this:

20.76 + 10

= 30.76

So, when she left the store, Lucy had $30.76

Answer:

Dividing and Subtracting by a negative number will reverse the inequality sign, Addign and Multiplying by a positive number will stay the same. Please tell me if I am wrong.

Answer:

28.917

Step-by-step explanation:

i multiplied the two numbers

Answer:

$2.13

Step-by-step explanation:

20-9.95=10.05

10.05-5.95=4.26

2.13+2.13=4.26