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vladimir1956 [14]

2 years ago

14

at a restaurant, Trevor decides to tip the server 16% of the bill. If he leaves $4.00 tip, which proportion could be used to fin

d how much the bill was for?

2 answers:

Kazeer [188]2 years ago

5 0

4\25 is the proportion of the percentage

Molodets [167]2 years ago

5 0

Answer:

16/100 = 4/x

Step-by-step explanation:

You might be interested in

You have four socks in your drawer, 2 blue and 2 brown. You get up early in the morning while it's dark, reach into your drawer,

Vikentia [17]

Answer:

First Case: 1/3

Second Case: 12/25

Step-by-step explanation:

The first case

Number of Blue Socks: 2

Number of Brown Socks: 2

Note that the first sock is guaranteed to be of the same color as those chosen. It is the only second sock that has to match the color of the first sock

Probability of picking socks of same colour = Probability of picking 2 blue socks or Probability of 2 brown socks

Mathematically,

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Blue Socks) = P(1st blue socks) * P(2nd blue socks)

P(Blue Socks) = 2/4 * 1/3 = 1/6

P(Brown Socks) = P(1st brown socks) * P(2nd brown socks)

P(Brown Socks) = 2/4 * 1/3 = 1/6

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Same Color) = 1/6 + 1/6

P(Same Color) = 1/3

The second case

Number of Blue Socks: 13

Number of Brown Socks: 13

Note that the first sock is guaranteed to be of the same color as those chosen. It is the only second sock that has to match the color of the first sock

Probability of picking socks of same colour = Probability of picking 2 blue socks or Probability of 2 brown socks

Mathematically,

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Blue Socks) = P(1st blue socks) * P(2nd blue socks)

P(Blue Socks) = 13/26 " 12/25 = 6/25

P(Brown Socks) = P(1st brown socks) * P(2nd brown socks)

P(Brown Socks) = 13/26 " 12/25 = 6/25

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Same Color) = 6/25 + 6/25

P(Same Color) = 12/25

7 0

2 years ago

A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.15.

mariarad [96]

Answer:

a. the probability that any one of the computers will require repair on a given day is constant

Step-by-step explanation:

The following properties must be true in order for a distribution to be binomial:

- A fixed number of trials (125 computers)

- Each trial is independent of the others (one computer requiring repair does not interfere with the likelihood of another requiring repair).

There are only two outcomes (requires repair or do not require repair)

The probability of each outcome remains constant from trial to trial (All computers have the same likelihood of requiring repair, 0.15).

Therefore, the alternative that better fits those properties is alternative a. the probability that any one of the computers will require repair on a given day is constant

8 0

2 years ago

A parallelogram has sides 24m and 5m. The height corresponding to a 24m base is 4m. What is the height corresponding to a 5m bas

inessss [21]

To solve this problem, you simply have to do base 1 * height 1 = base 2 * height 2. Plugging our numbers in gives us 24 * 4 = 5 * height 2. Solving it out, we get 19.2 as our missing height.

3 0

3 years ago

On two investments totaling $6,000, Brian lost 7% on one and earned 8% on the other. If his net annual receipts were $420, how m

lianna [129]

Answer:

the amount of money invested at the rate of 7% is $400

the amount of money invested at the rate of 8%. Is $5600

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 7%.

Let y represent the amount of money invested at the rate of 8%.

The total amount of money that Brian invested is $6000. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate at 7%,

P = x

R = 7%

T = 1

I = (x × 7 × 1)/100 = 0.07x

Considering the investment at the rate of 8%,

P = y

R = 8

T = 1

I = (y × 8 × 1)/100 = 0.08y

If his net annual receipts were $420, it means that

0.08y - 0.07x = 420 - - - - - - - - -1

Substituting x = 6000 - y into equation 1, it becomes

0.08y - 0.07(6000 - y) = 420

0.08y - 420 + 0.07y = 420

0.08y + 0.07y = 420 + 420

0.15y = 840

y = 840/0.15 = 5600

x = 6000 - y = 6000 - 5600

x = 400

8 0

2 years ago

A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincol

9966 [12]

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

Step-by-step explanation:

- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.

P (A & B) = P (B & C) = P (A & C) = 0

- In our case these events A,B, and C can be defined as:

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

4 0

2 years ago