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lara31 [8.8K]
3 years ago
13

500 reduced by 4 times my age is 100 what is my age

Mathematics
1 answer:
Ganezh [65]3 years ago
3 0
Your age would be 25
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Find the circumference of the circle.
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Circumference is π*diameter. since we're given a diameter of 14, the circumference is 14π
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There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz how many ways can t
beks73 [17]

Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.  

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways =(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

3 0
3 years ago
Find the distance between the points ( - 9, - 12) and (18, - 12)
ANTONII [103]

Hello from MrBillDoesMath!

Answer:

27



Discussion:

By the distance formula (or Pythagorean theorem)

distance =   sqrt ( (change in x)^2 + (change in y)^2)


In our case this becomes

distance =   sqrt (   (18 - (-9) )^2 + (-12 - ( -12))^2)

               =  sqrt (    ( 18 + 9) ^2   + ( -12 + 12) ^ 2)

               =  sqrt (  ( 18 + 9) ^2 + 0^2 )

               = sqrt ( 27^2)

               = 27

 

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before



Thank you,

MrB

4 0
3 years ago
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Answer:

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