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zheka24 [161]
3 years ago
5

Jim and Mark left a 20% tip after having lunch at a restaurant. The amount of the tip was $12. Mark's lunch cost $16. Write an e

quation to find x, the cost of Jim's lunch. Hint- 20 % = 0.2
Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

$44

Step-by-step explanation:

Use formula

% out of 100/100% = part/whole

20%/100 = 12/16+x

Cross multiply

(12)(100) = (20)(16+x)

1200=320+20x

Solve for x

1200-320 = 20x

880 = 20x

880/20 = x

44 = x

Jim's lunch was $44.

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Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia
lidiya [134]

Answer:

a) 0.30327

b) 0.07582

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution probability function is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 3 power surges per hour

x = variable whose probability is required

a) If a single disturbance in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of a single disturbance (power surge) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 1 disturbance per 10 minutes

P(X = 1) = (e^-0.5)(0.5¹)/1! = (e⁻⁰•⁵)(0.5)/1!

= 0.30327

b) If two disturbances in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of two disturbances (power surges) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 2 disturbance per 10 minutes

P(X = 2) = (e^-0.5)(0.5²)/2! = (e⁻⁰•⁵)(0.25)/2!

= 0.07582

Hope this Helps!!!

3 0
3 years ago
A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5      1/8
gayaneshka [121]
Let x be the number of hours that the waitress works in the evening.

We know for our problem that she works 5 \frac{1}{8} in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>x=5 \frac{1}{8} -1.75
<span>Since </span>\frac{1}{8} =0.125, we can rewrite our expression:
x=5.125-1.75
x=3.375

We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: 3 \frac{3}{8} hours.
3 0
3 years ago
An amusement park charges $5 for admission and $.80 for each ride. You go to the park with $13. Which inequality represents this
RSB [31]

Answer:

Answer Placeholder (I'm going to solve it and answer when I'm done)

Step-by-step explanation:

7 0
3 years ago
Rksheet
VLD [36.1K]

See below for the terms, coefficients, and constants in the variable expressions

<h3>How to determine the terms, coefficients, and constants in the variable expressions?</h3>

To determine the terms, coefficients, and constants, we use the following instance:

ax + by + c

Where the variables are x and y

  • Then the terms are ax, by and c
  • The coefficients are a and b
  • The constant is c

Using the above as guide, we have:

A) 2b + 2ac+5

  • Terms: 2b, 2ac, 5
  • Coefficient: 2, 2 and 5
  • Constant 5

B) 34abx + 16y +1

  • Terms: 34abx, 16y, 1
  • Coefficient: 34ab, 16
  • Constant: 1

C) st +4u + v

  • Terms: st, 4u, v
  • Coefficient: 4

D) 14xy + 6

  • Terms: 14xy, 6
  • Coefficient: 14, 6
  • Constant 6

E) 14x + 12y

  • Terms: 14x, 12y
  • Coefficient: 14, 12

F) 3+ 6-7+a

  • Terms: 3, 6, -7, a
  • Coefficient: 1
  • Constant: 3, 6, -7

Read more about terms, coefficients, and constants at:

brainly.com/question/14625487

#SPJ1

5 0
1 year ago
A large concrete block is used for the cornerstone
marin [14]

Answer:

The volume of the concrete needed to make the block is 5054 ft³

Step-by-step explanation:

The question relate to the calculation of the volume of a shape

The dimensions of the block are;

The depth of the block, d = 19 ft.

The width of the block, w = 19 ft.

The length of the block, l = 14 ft.

The volume of a cube, V = Length, l × Width, w × Depth, d

Therefore, the volume, 'V' of a cubic block is given as follows;

V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³

The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.

8 0
3 years ago
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