8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will cat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. a) What is the probability that none of the meals will exceed the cost covered by your company

Answer:

3^7

Step-by-step explanation:

27 = 3^3

81 = 3^4

3+4 = 7

Answer:

The surface area of the log including the ends and the inside is 80424.8 cm²

Step-by-step explanation:

To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.

From the question,

Diameter of log = 60 cm

Length of log = 3 m = 300 cm

Diameter of hollow center = 20 cm

For the surface area of the outer part,

Area of the outer part = Circumference of the outer part × length

Circumference = 2πr = πd

∴ Area of the outer part = πd × l

(NOTE: d here is the diameter of the log)

d = 60 cm and l = 300 cm

Area of the outer part = 60π × 300 = 18000π cm²

For the surface area of the inner part,

Area of the inner part = Circumference of the inner part × length = πd × l

(NOTE: d here is the diameter of the hollow center)

d = 20 cm and l = 300 cm

Area of the inner part = 20π × 300 = 6000π cm²

For the surface area of one end

This is the difference between the area of the outer end and the area of the inner end

Here, we can determine the area by using

Area = πr², where r is the radius

Radius = Diameter / 2

Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm

Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm

∴ Surface area of one end = πR² - πr² = π(R²-r²)

= π (30²-10²)

= π (900 - 100)

= 800π cm²

This is the area of one end

For the two ends,

Area of the two ends = 2 × 800π cm² = 1600π cm²

Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²

Surface area of the log = 25600π cm²

Putting the value of π (π = 3.141592654)

Surface area of the log = 25600 × 3.141592654 cm²

Surface area of the log = 80424.77193 cm²

Surface area of the log = 80424.8 cm²

Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)

Answer:

The answer is 8

Step-by-step explanation:

Because 4x12 is 48 and so is 6x8

Answer:

C. 8

Step-by-step explanation:

4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)

Multiply 4 ⋅ 12.

48 = 6n

Divide both sides by 6

n = 8

Hope I helped :)

Please consider Brainliest :)

Answer:

The answer is 19.

Step-by-step explanation:

3x+1+12=9x+1

3x+13=9x+1

13=6x+1

12=6x

x=2

3(2)+1+12=19

Answer:

CA = 19

Step-by-step explanation:

3x + 1 + 12 = 9x + 1

combine like terms

3x + 13 = 9x + 1

Subtraction property of equality

3x - 3x + 13 = 9x - 3x + 1

13 = 6x + 1

Subtraction property of equality

13 - 1 = 6x + 1 - 1

12 = 6x

Division property of equality

12/6 = 6x/6

2 = x

Symmetric property of equality

x = 2

Substitute x for 2

9(2) + 1 = 19

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

Answer:

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144

Answer:

Step-by-step explanation:

sea level means negative so it have to be C -0.5 foot

problem solved

Answer:

[tex](18x-8)(4x+16)=72x^2+256x-128[/tex]

That's really all you can do to that equation, I think.

Hope this helps!

Answer:

I need points lol well I kinda have no idea what ur taking abt

Answer:

the calculator i used was called calculator soup this is a website all u gotta do is search up factor calculator and it will pop up this website always helps if u want u can search up what u calculator u want at the top where it says search

Answer:

Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped

Answer:

Step-by-step explanation:

answen

Answer:

7/20

Step-by-step explanation:

Answer:

f(x) is always 5.

Step-by-step explanation:

The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.

By "limit definition", I assume you mean the derivative. We have

[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]

For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]

The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation

y - 1 = - (x - 2)

y = - x + 3

Answer:

Step-by-step explanation:

Thank you ☺️☺️☺️

Answer:

yes for the first one

because if you take number one for an example and use it for y

1^7*1^7*1^7=1 and 1^7*7*7=1

they both equal one

2.) [tex]\sqrt{x}[/tex]

[tex]\sqrt[3]{x}\sqrt[6]{x}=\:x^{\frac{1}{3}}x^{\frac{1}{6}}=\:x^{\frac{1}{3}+\frac{1}{6}}[/tex]

[tex]=x^{\frac{1}{3}+\frac{1}{6}}[/tex]

join 1/3+1/6= 1/2

then you get the answer

[tex]\sqrt{x}[/tex]

Step-by-step explanation:

brainlist pls:>

Answer:

there are 30 boys

Step-by-step explanation:

If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.

A ratio of 4:5 means that for every 4 girls, there are 5 boys.

24 girls / 4 girls = 6

5 * 6 = 30 boys

There are 30 boys if there are 24 girls

Answer:

i think it's the second one

Step-by-step explanation:

i am not sure if it is correct or not. i hope it helps!

Answer:

Step-by-step explanation:

132 / 4 = 33

Therefore,

The answer is,

Answer:

5x-y +42=0

Step-by-step explanation:

Using m=Y2- Y1

X2- X1

the slope of the line is found .

Put your answer in Y - Y1 = m( X - X1)

to get the equation

Answer:

I really think that (3 , -3 , -3) is the answer but I could be wrong.

Step-by-step explanation:

I'm taking the quiz right now and from the graph it looks like point E is in the position (3 , -3 , -3).

Once again, sorry if I'm wrong.

Answer:

D. 58

Step-by-step explanation:

pretty easy clap

bisecting is midpoint which makes the two angles congruent

Answer:

2

Step-by-step explanation:

I can't exactly explain my thinking but I estimates and the closet i got was answer 2 hoped this helped

Answer:

Step-by-step explanation:

Find the question attached.

Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors

Multiplying the factors together we have;

= x((x-(5+3i))

= x(x-5-3i)

= x²-5x-3xi

Hence the polynomial expression of the zeros is x²-5x-3xi

Answer:

hope it helps you

Step-by-step explanation:

The right polar decomposition of a matrix A ∈ Cm×n m ≥ n has the form A = UP where U ∈ Cm×n is a matrix with orthonormal columns and P ∈ Cn×n is positive semi-definite. Definition 2.2 (Left Polar Decomposition).

Answer:

Option A. is correct

Step-by-step explanation:

Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.

For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.

Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]

Like terms need to be combined to write the polynomial in standard form

Here, like terms are [tex]3x^3,2x^3[/tex]

Option A. is correct.