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3 years ago

14

Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequ

alities to represent this situation.

1 answer:

Sloan [31]3 years ago

3 0

The answer is :

x + y ≤ 14

2x + 3y ≤ 18

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(1 point) Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red

anygoal [31]

Complete question:

Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.

a)How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all the possibilities in (a) are equally likely.

b)What is the probability that the sum on the two dice comes out to be 11?

c)What is the probability that the sum on the two dice comes out to be 7?

d)What is the probability that the numbers on the two dice are equal?

Answer:

Kindly check explanation

Step-by-step explanation:

Total probabilities :

Total possible outcomes on each dice = 6

Total probabilities = 6² = 36

b)What is the probability that the sum on the two dice comes out to be 11?

Total required outcome = 2

Total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum on both dice = 11) = 2 / 36 = 1/18

c)What is the probability that the sum on the two dice comes out to be 7?

Required outcome = 6

Possible outcomes = 36

P(obtaining a sum of 7) = 6/36 = 1/6

d)What is the probability that the numbers on the two dice are equal

= required outcome / possible outcomes

Required outcome = 1,1 ; 2,2; 3,3; 4,4 ; 5,5 ; 6,6

= 6/36 = 1/6

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3 years ago

The police department uses a formula to determine the

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9514 1404 393

Answer:

78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

d = 88

0.0015r^2 +r = 88

0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077

The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

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3 years ago

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has

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3 years ago

What is 96 multiplied by 72

Wewaii [24]

Question: What is 96 multiplied by 72.

Answer:6912

Steps:Multiple 96 x 72.

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3 years ago

MA_775_DIABLO [31]

Mean: $620, Mode: $600

Let's sort the rank stats.

First quartile: $580

Median: $610

Third quartile: $645

85th percentile: $685

OK, we're ready. What happened to a and b?

c. $645 is the third quartile, 75th percentile. That means 25% of the salaries are higher.

Answer: 25%

d. $685 is the 85th percentile, 15% greater.

Answer: 15%

e. The mean is the sum of all the salaries divided by the count.

Mean = Sum / Count

So the sum is the count times the mean,

Sum = Count × Mean = 100 × $620 = $62,000

Big payroll.

Answer: $62,000

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3 years ago