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iogann1982 [59]
3 years ago
9

N is prime given that it has 2 digits

Mathematics
1 answer:
rjkz [21]3 years ago
8 0
Minimum 11, Maximum 97
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A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questio
nadezda [96]

There are total 500 ways in which Caroline can answer the exam.

Step-by-step explanation:

Here, the total number of questions in the test  = 5

The total number of multiple choice questions = 3

The total number of True/False question = 2

Let the numbers of the given question be 1,2 ,3,4, and 5.

Now, the total number of options available to answer question 1 = 5 options

Similarly,  number of options available to answer question 2 = 5 options

The number of options available to answer question 3 = 5 options

The number of options available to answer question 4 = 2 options ( T or F)

The number of options available to answer question 5 = 2 options ( T or F)

So, here the total available options to answer all 5 questions

= The total option available for  question ( 1 x 2 x 3 x 4 x 5)

= ( 5 ways  x 5 ways x 5 ways x 2 ways x 2 ways)

= 500 ways

Hence, there are total 500 ways in which Caroline can answer the exam.

8 0
3 years ago
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates ar
Sunny_sXe [5.5K]

Answer:

Range[4,24,44,64,84,104,124]

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs

20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in

pounds can be represented by f x( ) = 20x + 4.

What is the range of the function for this situation?

The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6

The given function is

f(x) = 20x + 4 =

f(0) = 20(0) + 4

= 4

f(6) = 20(6) + 4

= 124

Which means the range is within 4 and 124.

But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24

Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)

3 0
3 years ago
Clarissa sold five-sixths of the bracelets she made at a craft fair. If she sold 60 bracelets, how many bracelets did she make?
Nadusha1986 [10]

Answer:

50 Bracelets

Step-by-step explanation:

5/6 = 50/60 that simple

5 0
3 years ago
What is the length of bc? AC = 8 AB = 17
padilas [110]

Using Pythagoras theorem,

17^2=8^2+(BC)^2\implies BC=\sqrt{17^2-8^2}=15.

Hope this helps.

5 0
3 years ago
92ft long and 48 wide resurface 2.75$
Murljashka [212]
2.75$ is a wider surface because if you put it in present than you will get a larger number than 92ft long and 48 wide
5 0
3 years ago
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