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Alinara [238K]
2 years ago
9

1.

Mathematics
2 answers:
solong [7]2 years ago
8 0
1. The answer is 76.

If the group all together is only being charged once per ride, and the whole group is going twice, then you will double the cost of each ride:

4.50 x 2 = 9
4 x 2 = 8
3.50 x 2 = 7

In total, the rides will cost $24. So, if you're paying with a $100 bill, you will receive $76 in change.

2.2 The answer is 58.

You will do the same procedure as the first question, but this time multiply the costs by 3. 

5.50 x 3 = 16.5
2 x 3 = 6
6.50 x 3 = 19.5 

The total will be 42. Subtracted from 100, you will get 58.

3.3 The answer is 2. 

If you have 15 dollars and the coaster costs 5.50, the first time you ride it you will have 9.50 left. The second time, you will have 4 dollars left, and then you will not be able to pay for a third time.

4.4 The answer is 23.25

If you add up all the correlating costs of the tickets (6.75 + 4.50 + 4.50 + 10.50 + 10.50), you will get 36.75. Then you must subtract that from 60, which will give you 23.25 dollars in change.

5.5 The answer is 54.75

You will do the same procedure here as you did above. Add the corresponding costs together (you're done after this part, because the question isn't asking for how much change you'll receive). 

6.6 The answer is 7.

If the tickets cost $10.50 and you have $80, then you want to divide 80 by 10.50. You will get 7.6. Since you can't buy a sixth of a ticket, your answer will be 7.

7.7 The answer is to pay separately.

In this question, you will add all the costs together (except the day pass) and compare it to the cost of the day pass. Once you add all the costs together, you will get 17.50. This is cheaper than the day pass, which is 19.95.



zheka24 [161]2 years ago
3 0

I took the test

1. 4

2. 168

3. 2

4. 23.25

5. 54.75

6. 7

7. Pay separately

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Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
MakcuM [25]

Answer:

The cost is $9.70 per kilogram.

Step-by-step explanation:

This can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.

Solution:

The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:

1 pound - xkg

2.2 pound - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45kg

Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?

$4.40 - 0.45kg

$x - 1kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The cost is $9.70 per kilogram.

6 0
2 years ago
Assuming a binomial distribution, a production process produces 2% defective parts. A sample of five parts from the production p
Murrr4er [49]

Answer:

0.38% probability that the sample contains exactly two defective parts.

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.02

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038

0.38% probability that the sample contains exactly two defective parts.

3 0
2 years ago
Suppose that A, B, C, are independent random variables, each being uniformly distributed over (0, 1). (a) What is the joint cumu
Gekata [30.6K]

Answer:

a)  F (A , B,C)(a,b,c) = abc

b) Answer is in derivative

Step-by-step explanation:

Hence area is maximum x=6

For ( a,b,c) ∈ (0,1)

We have that      

F A, B,C (a,b,c) = A≤ a , B≤ b , C≤c

                        =P (A≤a) P (B≤b) P (C≤c)

A , B, C ≈ unit  (0,1) we have that

  P (A≤a) =a

 P (B≤b) =b

   P (C≤c)=c

Thus

F (A , B,C)(a,b,c) = abc

b) Answer is in derivative

5 0
2 years ago
How is a calculation of net worth different from a day-to-day or month-to-month tallying of expenses?
alina1380 [7]
The difference in tallying of expenses from a day to day and month to month is the consistency. in a day to day basis it is consistent the time for a day is 24 hrs it will not change, so you will really know why the expenses goes up or down/ unlike for a month to month it is inconsistent,, some months have 30, 31 or 28 days in a month.
8 0
2 years ago
Round 3659 to the nearest thousand
Kryger [21]
It is 4,000. :P
The 6 in the hundreds tells you to round up. 4 and under, keep it. 5 and up, raise it by one. :)
5 0
2 years ago
Read 2 more answers
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