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Triss [41]
3 years ago
5

Kayla has taken an online boating safety course and is completing her end-of-course exam. As she answers each question, the prog

ress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed Question 12, and the progress bar shows she is 40% complete. How many total questions are on the test?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0
Hey there :),Good question!
If question 12=40%
Lets determine how many questions fill 20% of the progress bar
Take 12 and divide by 2 to get half of the questions
12/2=6
6 questions equal 20% progress bar
100/20= 5
Next multiply 6 and 5 to find the total number of questions:
6×5=30
The answer is 30 Total Questions are on the test

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Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable X relresent Nick's age
Ronch [10]

Answer:

Let X represent Nick's age and Y represent Sara's age.

Then, it is given that: Nick is four years older than Sara.

We write the statement as:

X=4+Y

or Y=X-4

The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.

In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.



6 0
3 years ago
Solve the exponential equation: 4x – 2 = 2x
qaws [65]

Answer:

(c)

Step-by-step explanation:

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5 0
3 years ago
How can you determine if you need to use a combination or permutation to count the number of outcomes? Which will usually have m
Nadya [2.5K]

Answer with Step-by-step explanation:

Permutation : It is an arrangement of r elements out of n elements.

Combination : it is a selection of r element out of n elements .

Suppose we have a set

S={1,2,3}

If two elements are taken at a time then

Using permutation formula

Total number of outcomes=3P_2

Total number of outcomes=\frac{3!}{(3-2)!}

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Using combination formula

\binom{n}{r}=\frac{n!}{r!(n-r)!}

Total number of outcomes=\binom{3}{2}=\frac{3!}{2!1!}

Total number of outcomes=\frac{3\times2!}{2!}

Hence, total number of outcomes=3

Total number of outcomes determined by permutation have more outcomes.

Because permutation is an arrangement of elements  therefore, it consider order of arrangement of element   but combination is a selection of elements it does no consider order of elements

Arrangements of two elements out of 3 elements

{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}

By using combination if two elements taken at a time then combination

{1,2},{2,3},{1,3}

4 0
3 years ago
Use the graph to determine the input value for
musickatia [10]

Answer: x=1.5

Step-by-step explanation:

8 0
3 years ago
Please help! 5 points! Will give Brainliest.
Olegator [25]
170 and 60 is the answer is that want you are asking for
3 0
3 years ago
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