Tarek reaches into a can that contains 30 25-fils coins, 25 10-fils coins, 40
5-fils coins and 15 1-fils coins. What is the probability that the first coin
he picks is a 25-fils coin or a 1-fils coin?

Answers

Answer 1

Answer:

9/22

Step-by-step explanation:

They are 30 25-fils coins, 25 10-fils coins, 40  5-fils coins and 15 1-fils coins.

The total number of fils coins = 30 + 25 + 40 + 15 = 110 coins

The probability of picking n-fils coin = number of n fils coin /  total number of fils coins.

Therefore:

The probability of picking 25-fils coin = number of 25 fils coin /  total number of fils coins = 30/110 = 3/11

The probability of picking 10-fils coin = number of 10 fils coin /  total number of fils coins = 25/110 = 5/22

The probability of picking 5-fils coin = number of 5 fils coin /  total number of fils coins = 40/110 = 4/11

The probability of picking 1-fils coin = number of 1 fils coin /  total number of fils coins = 15/110 = 3/22

The probability that the first coin  he picks is a 25-fils coin or a 1-fils coin = The probability of picking 25-fils coin + The probability of picking 1-fils coin = 3/11 + 3/22 = 9/22


Related Questions

Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22

Answers

Answer:

-8y = 6

Step-by-step explanation:

-6x+4y = -8

6x -12y = 14

Add the equations

-6x+4y = -8

6x -12y = 14

--------------------

0x -8y = 6

Answer:

Negative 8 y = 6

Step-by-step explanation:

6x + 4y = - 8.... (1)

6x -12y = 14....... (2)

Adding (1) & (2)

- 6x + 4y = - 8

6x - 12y = 14

--------------------

0x -8y = 6

= - 8y = 6

Hope this helps!

Write the equation of the line that contains the
points (4, -7) and (1,5).

Answers

Answer:

y=-4x+9

Step-by-step explanation:

y=-4x+9

m=y2-y1/x2-x1

m= 5-(-7)/1-4

m=12/-3=-4

y=-7   m=-4   x=4 find b

y=mx+b

-7=4*4 +b

b=-7+16 = 9

i would appreciate if you do a step by step work pls !!

Answers

Answer:

A. 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

cos 60° = y / 4[tex]\sqrt{3}[/tex]

cos 60° = 1/2

y = 2[tex]\sqrt{3}[/tex]

What is the largest possible value
could take given that it must be an integer?
x<5

Answers

An integer is a whole number, so 4 is the answer. This is because it is only less than, not less than or equal too.

please help me with this question!

A​ cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small​ packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase​ overflow?

Answers

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

Answer:

87.97 packs

Step-by-step explanation:

 This problem bothers on the mensuration of solid shapes, a cone

the expression for the volume of a cone is

[tex]v=\frac{1}{3} \pi r^2h[/tex]

Given data

height h= 28cM

radius r= 9cm

substituting the data the data into the expression for the volume we can solve for the volume

[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]

we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm

the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]

now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,

[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]

Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?

Answers

Answer:

170$

Step-by-step explanation:

If 2x + y = 32 and 3x + 4y =68 find the value of x/y

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!

Answers

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?​

Answers

Answer:

The number of sweets in the 10th bag is 53

Step-by-step explanation:

Given

Let the Number of sweets in a bag  be represented by x and frequency be represented by f

The table is as follows

x   F

39 1

40 2

41 5

42 0

43 1

Mean = 42

Required

How many sweets are in the 10th bag?​

Represent the number of sweets in the 10th bag by y;

The table becomes

x   F

39 1

40 2

41 5

42 0

43 1

y   1

The mean of observation is calculated using the following formula;

Mean = ∑fx/∑f

Where ∑ means summation

fx means f * x; i.e. product of frequency and number of sweets

f represents frequency;

Calculating ∑fx

∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1

∑fx = 39 + 80+ 205 + 0 + 43 + y

∑fx = 367 + y

Calcuating ∑f

∑f = 1 + 2 + 5 + 0 + 1 + 1

∑f =  10

Recall that

Mean = ∑fx/∑f and Mean = 42;

So, Mean = ∑fx/∑f becomes

[tex]42 = \frac{367 + y}{10}[/tex]

Multiply both sides by 10

[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]

[tex]420 = 367 + y[/tex]

Subtract 367 from both sides

[tex]420 - 367= 367 -367 + y[/tex]

[tex]53 = y[/tex]

[tex]y = 53[/tex]

Hence, the number of sweets in the 10th bag is 53

The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.

Given :

The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.

The following steps can be used in order to determine the total number of sweets in the 10th bag:

Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.

Step 2 - The formula of mean is given below:

[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]

Step 3 - Now, substitute the values of the known terms from the given table in the above expression.

[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]

Step 4 - Simplify the above expression.

[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]

So, the total number of sweets in the 10th bag is 53.

For more information, refer to the link given below:

https://brainly.com/question/521501

7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)​

Answers

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

Please mark brainiest

A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?

Answers

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

True or false: the set of whole numbers is equal to the set of natural numbers

Answers

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

Answer:

false

brainliest to me!

Step-by-step explanation:

0 is a whole number but not a natural number so its false!

PLZ HELP 15 PTS
If [tex]A=\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]and [tex]AB=\left[\begin{array}{ccc}24\\-46\\-2\end{array}\right][/tex], what is the value of matrix B?

Answers

Answer:

C ) B = [tex]\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]

Step-by-step explanation:

gbhujiklbvnhjkml dxfcgvhj

Answers

Answer:

C.  2 1/2

Step-by-step explanation:

Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.

-4 - 6 1/2 = -10 1/2

-4 + 6 1/2 = 2 1/2

Looking at the answer choices, 2 1/2 can represent point Q.

During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?

Answers

Answer:

26miles

Step-by-step explanation:

Let Nina's husband's (Ed) mileage = x miles

Nina = (x + 6) miles

Combined mileage = 46

Nina's miles + Ed's miles = 46

x + (x+6) = 46

x+x+6 = 46

2x +6 = 46

2x = 46-6

2x = 40

x = 40/2 = 20miles

Nina's husband covered 20miles

Nina covered = x+6 = 20+6 = 26miles

Nina walked 26miles

YEAR 9 MATHS- SEQUENCES
Here are the first five terms of a linear sequence.
9 15 21 27 33 ...
Work out the nth term

Answers

Answer:

see below

Step-by-step explanation:

This is an arithmetic sequence. The explicit formula for an arithmetic sequence is aₙ = a₁ + (n - 1)d where a₁ is the first term and d is the common difference. In this case a₁ = 9 and d = 6 so we have:

aₙ = 9 + (n - 1) * 6

aₙ = 9 + 6n - 6

aₙ 6n + 3

Can anybody help with this one?

Answers

Answer: (-2,2)

see below

Step-by-step explanation:

Which point is between points c and e

Answers

Answer:

the answer is D

Step-by-step explanation:

Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]m-6(n+2)=-8\\6n+m=16[/tex]

Rearrange the second equation and substitute it into the first equation.

[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]

Now we can use our value of n, and substitute it into the second equation to solve for m.

[tex]6(1)+m=16\\6+m=16\\m=10[/tex]

Now we can divide our values.

[tex]\frac{n}{m}=\frac{1}{10}[/tex]

what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2

Answers

Answer:

Step-by-step explanation:

Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.

To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:

1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.

The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.

The prime factorization for each of the coefficients is as follows.

8: 2³

6: 2 · 3

4: 2²

We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.

Now, we look at our x variables and y variables.

For x, we have x³ and x². So, our GCF is x².

Our GCF is now 2x². Now, let's look at our y-variables.

We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².

Need help with this question plz

Answers

Answer:

28.26 inches

Step-by-step explanation:

The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26

In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?

Answers

Answer:

100 : 20 : 60 Making the total number of cookies 180

Step-by-step explanation:

Looking at the basic information given we know:

If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.

So, we have equations like this:

[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]

So, if we plug in 60 for butter cookies we will have something like this:

[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60

Solving:

[tex](5/3b) : (1/3b) : b[/tex]

[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]

Then add the amounts of together to get 180.

I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.

Expand and simplify ( √2 + 3)to the power of 2

Answers

Answer:

Step-by-step explanation:

[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]

hope this helps

Over winter break, Raymond worked 12.5 hours at the library and 20.5 hours at a café. The library paid him $13 per hour. If he earned a total of $459.75 from both jobs, how much did the café pay Raymond per hour?

Answers

Answer: the correct answers is $14.50

Step-by-step explanation:

The amount that the cafe pays per hour will be $14.50 per hour.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given,

The rate of the library = $13 per hour.

For 12.5 hours.

Earning from library = 13 x 12.5 = $162.5

Cafe pay per hour = x

For 20.5 hours.

Earning from cafe = 20.5x

Total earning = 162.5 + 20.5x

20.5x = 459.75 - 162.5

x = 14.5

Hence "The amount that the cafe pays per hour will be $14.50 per hour".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

If the measure of angle 1 is (3x-4)º and the measure of angle 2 is (4x+10), what is the measure of angle 2 in degrees?
HELP !!!!!!!!!!!!!!!!!!!! Plz !!!!!!

Answers

Answer:

Angle 2 measures 58°

Step-by-step explanation:

Sum of all three angles formed = 180

Because the sum of angles on a straight line is always 180

Angle 1 =3x-4

Angle 2 = 4x+10

Angle 3= 90° (given)

So,

90+3x-4+4x+10=180

(4x+3x)+(90+10-4)= 180

7x+96=180

Bring 96 to the other side, making it negative,

7x = 180-96 = 84

x = 12

Therefore angle 2

= 4x+10

= (4)(12)+10

=48+10

=58°

M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

Answers

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).

Answers

Answer:

A = 57,600 feet

Step-by-step explanation:

Area = length x width

A = 360 x 160

What represents the inverse of the function f(x)=4x?

Answers

Answer:

Dear user,

Answer to your query is provided below

The inverse of the function f(x)=4x is y=(x/4)

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=4x becomes x=4y.

Now, solve the equation x=4y for y.

y=(x/4)

You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?

Answers

Answer:

-10 because you lost twice more than you won.

Hope this helps!

the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner

Answers

Answer:

(1,1)

This is the answer

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