To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.​

Answer: -7 This may be wrong. Sorry if it is.

Answer:

79.81% probability of winning.

Step-by-step explanation:

For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution 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.

The odds of winning the prize is 1 : 53

This means that [tex]p = \frac{1}{53}[/tex]

If I purchased 84 tickets what are the odds of winning in percentage.

To win, at least one of the tickets must have the prize, of 84 tickets, so [tex]n = 84[/tex].

We have to find [tex]P(X \geq 0)[/tex], which is given by:

[tex]P(X \geq 0) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = C_{84,0}.(\frac{1}{53})^{0}.(\frac{52}{53})^{84} = 0.2019[/tex]

[tex]P(X \geq 0) = 1 - P(X = 0) = 1 - 0.2019 = 0.7981[/tex]

79.81% probability of winning.

Answer:

10 mph

Step-by-step explanation:

So speed is usually written in miles per hour (mph) so I'm assuming that's how you want it.

90 minutes is 1.5 hours

15/1.5=10

Answer:

to what?

Step-by-step explanation:

Answer:

x+y=z

Step-by-step explanation:

Answer:

2x^2 - 7x - 4

Step-by-step explanation:

Given the expression f(x) = (2x+1)(x – 4)

To write it in standard form, we need to factorize it

(2x+1)(x – 4)

= 2x(x) - 2x(4) + x - 4

= 2x^2 - 8x + x - 4

= 2x^2 - 7x - 4

hence the expression in standard form is 2x^2 - 7x - 4

Answer:

-10

Step-by-step explanation:

12-30

3z+12-30=-48

3z=-30

z=-10

Answer:

$21,038.28

Step-by-step explanation:

Use the equation 15000(1.07)^5 since 1.07 equals to 7% and you are loaning more money to Tony's account for 5 years.  You should get $21,038.28 as your result.

Answer: 21286

Step-by-step explanation:

Step-by-step explanation:

Given

(5y - 12 ) + ( -5y - 1)

= 5y - 12 - 5y - 1

= 5y - 5y - 13

= - 13

Hope it will help):)❤

Answer:

55% is ur answer :)

Convert fraction (ratio) 16.5 / 30

Answer:

i think is A

Step-by-step explanation:

Answer: probability of won=

no. of won match=21

no. of total match=28

so they cut and made 3/4

probability of lost match=

no. of lost match=7

no. of total match=28

so they cut and made 1/4

HOPE THIS HELPS

Step-by-step explanation:

done.....

............I got doubt about last answer...

Answer:

(B)

Step-by-step explanation:

Let  us denote rectangular tiles by R and square tile by S, then

According to figure.

3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles

∴3R+2S+2R=2R+4S+R+4S

⇒5R+2S=3R+8S

⇒5R-3R=8S-2S

⇒2R=6S

⇒R=3S

Hence, 0ne rectangle =3 square

Answer:

number = 0.011

Step-by-step explanation:

Decimal Representation

The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.

Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:

[tex]number= \frac{11}{1,000}[/tex]

Dividing:

number = 0.011

Answer:

It b

Step-by-step explanation:

All 3 sides of the shape is parallel as well as A so therefore is b

Answer:

No, because AB is not parallel to CD

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:

A) 1/5

Step-by-step explanation:

There are 25 candies total, and you want to choose the 5 orange candies there.

That's 5/25.

Simplifying, we divide both sides by 5.

Thus, we get:

1/5.

Answer:

Step-by-step explanation:

B

Answer:

i tink its 46 yhhhhh

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]

[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]

[tex] \frac{2x - 2}{13} = 2 [/tex]

Cross multiply

[tex] 2x - 2 = 2(13) [/tex]

[tex] 2x - 2 = 26 [/tex]

Add 2 to both sides

[tex] 2x = 26 + 2 [/tex]

[tex] 2x = 28 [/tex]

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77

Answer:

12 muffins for $9.60

Step-by-step explanation:

Answer: Are exactly like credit cards

Step-by-step explanation:

Answer:

x = 48° and y = 70°

Step-by-step explanation:

As it is an isosceles triangle so base angles of isosceles triangle are equal

x +7° = 55°

x = 55° - 7°

Therefore x = 48°

Now

x + 7 = (48 + 7)°= 55°

Calculating the value of y as sum of angles of triangle is equal to 180°

y + 55° + 55° = 180°

y + 110° = 180°

y = 180° - 110°

Y = 70°

Hope it will help :)

Answer:

x=48

y=70

Step-by-step explanation:

Key skills required are triangles, isosceles triangles, one variable equations, interior angle sums

1) You have to start with the fact that the triangle is isosceles. This means that the 2 base angles (x+7 and 55) are equal to each other.

An isosceles triangle has 2 sides equal and 2 angles equal.

2) With the explanation above --> x+7=55

3) Subtract 7 from both sides and you will get x=48

4) The sum of all the angles in a triangle is 180 degrees. The two bottom angles are 55 degrees each, making their sum 55+ 55= 110 degrees.

5) 110 degrees + y degrees = 180

6) subtract 110 from both sides and y would equal 70.

Hope you understood and have a nice day!! :D

Answer:

$7.225

Step-by-step explanation:

Answer:

D) 28.90

Step-by-step explanation:

28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)

Answer:

7 inches..............

Answer:

8

Step-by-step explanation:

Volume = Length * Width * Height

512 = 8*8*Height

Height = 512/64=8

you have a 4/15 chance of getting red and a 5/14 chance of getting yellow staight after.