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klemol [59]
3 years ago
6

A group of students were surveyed to find out if they like bike riding and/or roller skating as a hobby. The results of the surv

ey are shown below: 80 students like bike riding 20 students like bike riding but do not like skating 90 students like skating 40 students do not like bike riding Make a two-way table to represent the data and use the table to answer the following questions. Part A: What percentage of the total students surveyed like both bike riding and skating? Show your work. (5 points) Part B: What is the probability that a student who does not like bike riding also does not like skating? Explain your answer. (5 points)
Mathematics
1 answer:
777dan777 [17]3 years ago
8 0
(Part A:) approximately 73.91% of the students 
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How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?
ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform  f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform  f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function f(x)=x^3 has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

5 0
3 years ago
John wants to buy a DVD player. The price is $100, and the sales tax is 5 percent. Store A is offering a 10 percent discount and
exis [7]

Answer:

Price of DVD at Store A = $ 94.5

Price of DVD at Store B = $ 95

Step-by-step explanation:

Given that

Price of DVD player = $ 100

Sales Tax = 5%

Now, lets calculate price of of DVD player at store A

The price of DVD player at store A after 10% discount = 100 - 10% of 100

The price of DVD player at store A after 10% discount= 100 - 0.1x100

The price of DVD player at store A after 10% discount= 100 - 10 = $90

Price of DVD player at store A after sales tax = 90 + 5% of 90

Price of DVD player at store A after sales tax = 90 + 0.05x90

Price of DVD player at store A after sales tax = 90 + 4.5

Price of DVD player at store A after sales tax = $94.5

Now, lets calculate price of of DVD player at store B.

The price of DVD player at store B= 100

Price of DVD player at store B after sales tax = 100 + 5% of 100

Price of DVD player at store B after sales tax = 100 + 0.05x100

Price of DVD player at store B after sales tax = 100 + 5

Price of DVD player at store B after sales tax = $ 105

Price of DVD player at store B $10 rebate = 105 - 10

Price of DVD player at store B $10 rebate = $95

4 0
3 years ago
Read 2 more answers
Am I correct if I am not please give me the right answer and I’ll give points. Thank you
STatiana [176]

the first two are correct, but the answer for c should be 125

3 0
3 years ago
Read 2 more answers
Which has the same sum as 67+14
yaroslaw [1]
46 + 35 same sum by 81
5 0
3 years ago
What is the value of x in A and what is the value of y in B?
Assoli18 [71]

there is no B i see A and -5A unless its for -5A??


6 0
3 years ago
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