a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6​

Answers

Answer 1
Answer:    1/3

===================================================

Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3


Related Questions

Does the data for Amit’s puppy show a function? Why or why not?

Answers

Answer:

no its not a function

Step-by-step explanation:

because the lines on the graph are not equal\in a straight line(the puppy is not gaining the same amount each week)

Solve the system of linear equations.

13x+y=1
2x+6y=6

Answers

Answer:

x = 0 and y = 1                 Solution: (0, 1)      

Step-by-step explanation:

13x +  y = 1       multiply by -6  ⇔      -78x  - 6y = -6

2x + 6y = 6     do not change  ⇔    +  2x + 6y =   6    

                                                           -76x  = 0

                                                                  x = 0

Use the second equation to solve for y if x = 0

2x + 6y =  6

2(0) + 6y = 6

 0 + 6y = 6

     6y = 6

       y = 1       Solution (0,1)

Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?

Answers

Billy has 3,618 cards
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together

P^2 x 2p^4 x q x q^2

(m^2 x m^4) ÷ m^5 x m^2

Answers

Answer:

[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]

[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]

What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?

Answers

Answer:

y = x + 7

Step-by-step explanation:

If the slope is 1, the original equation is y = mx + b, with m being 1.

Now substitute -6 and 1 for x and y and solve for b

1 = 1(-6) + b

1 = -6 + b

7 = b

Put it all together:

y = x + 7

i need help on this assignment

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….
a2+b2=c2
6^2+8^2=c^2
36+64=c^2
C^2=100
C=10

2x - y = 1
3x + y = 9

Answers

Answer:s

Step-by-step explanation:

Answer:

x=2  y=3

Step-by-step explanation:

plz answer!!!!!!!!!!!!!!​

Answers

Answer:

7

Step-by-step explanation:

i know

Use the table to work out the values of
a
,
b
,
c
, and
d
.

x
y
=
3
x

x
2
+
6

3
a

2

4

1
b
0
6
1
8
2
c
3
d

Answers

Answer:

Here is your answer

Step-by-step explanation:

50

Giving branliest to correct

Answers

Answer:

2/3

Step-by-step explanation:

In the problem the question is How much longer so that means subtract.

10/12 - 1/6 =2/3

Answer:

maybe 2/3 inches

let me know if its wrong..

​What is the slope of a line that passes through the points (5, 6) and (−11, 14)

Answers

Answer:

m = -1/2

Step-by-step explanation:

let me know if it helped

(too lazy to write a explanation)

Please answer number 1 and 2.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

The common difference between two consecutive terms is 3.And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

im in school rn and i dont understand this!

Answers

Answer:

[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]

Step-by-step explanation:

[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]

Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!

Answers

1. At the very top is 2 pairs of equal adjacent sides. In top left corner
I hope I helped somewhat!!

HELP ME WITH THIS TWO PROBLEMS
1. When I add 6 to five times my number I get 36. My mystery number is ....

2. When I add 7 to three times my number I get 43. My mystery number is....

Answers

Answer:

1) 6 & 2)12

Step-by-step explanation:

Solve the equations backwards-

1) Subtract 6 from 36, and then divide by 5.

36 = 6 + 5x

(36 - 6)/5 = x

x = 6

2) Subtract 7 from 43, and then divide by 3.

43 = 7 + 3y

(43 - 7)/3 = y

y = 12

solve the following equation ​

Answers

Answer:

X= -1/3 or 4

Step-by-step explanation:

Answer:

x =-1/3 and x=4

Step-by-step explanation:

solve by factoring:

separate into two equations:

3x+1=0

8-2x=0

(when the products of factors equals zero, at least one factor is zero)

3x=-1

x=-1/3

-2x=-8

x=4

Will give BRAINLIEST

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Answer:

3rd quadrant

Step-by-step explanation:

it has the pentagon

If i watch a movie at 7:00 pm and the movie lasts 1h 49m what time will it be when it finishes?

Answers

Answer:

it would finish at 8:49

Step-by-step explanation:

Have  a nice day :)

Answer:

it's really simple seriously, but it will end at 8:49m

Step-by-step explanation:

Are the equations m+3=-5 and m-4=-12$ equivalent?

Answers

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

Please solve the equation below.

2x+4=3(x-4)

Answers

Answer:

x=16

Step-by-step explanation:

[tex]\sf 2x+4=3(x-4)[/tex]

[tex]\sf 2x+4=3x-12[/tex]

[tex]\sf 2x+4-4=3x-12-4[/tex]

[tex]\sf 2x=3x-16[/tex]

[tex]\sf 2x-3x=3x-16-3x[/tex]

[tex]\sf -x=-16[/tex]

[tex]\sf \cfrac{-x}{-1}=\cfrac{-16}{-1}[/tex]

[tex]\sf x=16[/tex]

Question:-

solve the equation below :-

2x+4=3(x-4)

Answer:-

x = 16

Explanation:-

=> 2x+4 = 3(x-4)

=> 2x+4 = 3x-12

=> 2x+4 - 4 = 3x-12 - 4 (Subtract 4 on both the sides)

=> 2x = 3x-16

=> 2x-3x = -16

=> -x = -16

=> -x/-1 = -16/-1

=> x = 16

Mr. Jones bought a piece of land for 60 000. The land increased in value by 20% in a year. The new value of the land is​

Answers

Answer:

$72,000

Step-by-step explanation:

If we take 60,000 and then take 20 percent of it, we get 12,000. Then we add 12,000 to 60,000 and it gives us 72,000.

Given the scatter plot below, write the equation for the line of best
fit in slope-intercept form.

Answers

Answer:

y = 5x + 6

Step-by-step explanation:

lmk if you want an explanation

help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?

Answers

Answer: 60%

Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%

A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?

2b
5b
5b − 3
2b + 7

Answers

Answer:

25452664637378381234

Answer:

2b+7

Step-by-step explanation:

sorry for the dimwit who typed random numbers

Help help help math

Answers

area of the circle is 12 inches ²

5/6+3/4+2/3 answer please

Answers

Answer:

2.25

Explanation

2/3 can be made into 4/6 then added to 5/6

Grab 5/6 and add it to 3/4, we do this by making them have the same bottom number (denominator) so we multiply 9/6 (4/6 + 5/6) by 2 (both top and bottom number) so now we have 18/12 + 4/6 so now we can make 4 be 12 by multiplying it by 3, but we need to do that to the top number as well to make it balanced, so now we have 18/12 + 9/12 and we get 27/12 or 2.25.

$20, $15,$10,$5. What is the range of allowance amounts?

Answers

Answer:

$15

Step-by-step explanation:

20-5= 15

Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.

Hope this helps :)

Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7

Answers

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

(4)(-27)

=-108

Option C

(-7)(14)

=-98

Option D

(-9)(11)

=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!

Last month, there were `4` sunny days for every rainy day. If there were `30` days

Answers

Answer:

6 rainy days

Step-by-step explanation:

Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)

Answers

Answer:

y= 2/3x+8

Step-by-step explanation:

you add 10 to both sides then combine -2 with 10 to get 8

then 1x times 2/3 is 2/3x and -3 times 2/3 is -2

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