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PIT_PIT [208]
3 years ago
9

Max's bill at a restaurant is $8.67. He uses the following method to figure out a tip of about 15%. Round the amount of the bill

to the nearest ten cents. Move the decimal point one place to the left. Then find half of the result. Add the last two answers and round to the nearest five cents. How much will the tip be for the bill? Why does Max's method work?
Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
X=1.30 is the answer! hope its not too late to help
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Divide 5x2 − 7x − 6 by x − 2.
Luba_88 [7]

Answer:

5x+3

Step-by-step explanation:

3 0
3 years ago
Suppose that two defective refrigerators have been included in a shipment of six refrigerators. the buyer begins to test the six
Verdich [7]

a) Answer: 0.2 <span>

consider the 4 refrigerators that waschosen out of the 6. There are 6*5*4*3 ways to choose these refrigerators (not 6choose4, since refrigerators are distinguishable). Therefore the denominator of our probability is 360. 

The numerator is a bit harder. Consider the first 3 refrigerators that was chosen. 2 were good, 1 was bad. There are 3choose1 = 3 places that the bad refrigerator can go. In each of these places, we count the number of ways to pick these 3 out of the 6. Since one is good, there are 4 ways (b/c there are 4 good refrigerators) to select the first. Another is also good, so the number of ways becomes 4*3. The last is bad, and there are 2 bad ones, so the number of ways to select these 3 becomes 4*3*2. Do not be confused by the fact that I ordered the above, this is taken care of by multiplying by the 3choose1 from above. Think of it like 4*3*2 + 4*2*3 + 2*4*3. Regardless, there is only one choice for the 4th refrigerator: bad. Thus the number of ways of being able to find the last bad fridge on the 4th test is 3*4*3*2 = 72. 

The probability is then 72/360 = 0.2 

I did the same method for the probability of searching the last bad fridge on the nth trial, and they all added to 1, so I'm pretty sure this is right. 

b) Answer: 0.4 

This probability is equal to: 
P(find on 2nd) + P(find on 3rd) + P(find on 4th) 

You know the third term, and the first two you can find in the same way as I did above. They are 0.06666... and 0.1333333... 

c) Answer: 0.5 

This is P(find on 3rd) + P(find on 4th) 

You know that of the 4 refrigerators left, 3 are good and 1 is bad. So, P(3) = 1/4, because there is a 1 in 4 chance that you choose the bad one right away 

P(4) = 3/4 * 1/3 = 0.5, since there is a 3 in 4 shot you select a good one, then a 1 in 3 that you select a bad one. </span>

<span>So P(3) + P(4) = 0.5</span>

4 0
4 years ago
Jacob’s classroom is on the second floor of his high school building. He’s sitting at his desk and trying to solve a quadratic e
svp [43]

The constant term in the equation is 24.

This is the height of the paper passing through the window at t=0.


This can be proven by replacing t with 0 in the equation, anything multiplied by 0 equals 0, so when t = 0 the height would be 24.


So the paper is 24 feet above the ground.

6 0
3 years ago
Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
dusya [7]

Answer:

(40-2)^2

Step-by-step explanation:

Given: (38)^2

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial (x-y) to itself, a perfect square trinomial (x-y)^2 is obtained.

Here, 38=40-2

So, (38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2

Here, (40-2) is a binomial and it is multiplied to (40-2) to get a perfect square trinomial (40-2)^2

7 0
3 years ago
Sarah would like to hire a clown for her daughter‘s birthday party. Clown A is offering his services for an initial fee of $100
photoshop1234 [79]
It will be equal in 9 hours
4 0
4 years ago
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