A tile is drawn from a bag at random and then replaced. the probability of
drawing a blue tile is 80% and the probability of drawing a red tile is 20%.
what is the expected number of blue tiles in 25 draws?

Answers

Answer 1

Answer:

The expected number of blue tiles is 20 blue tiles.

Step-by-step explanation:

You can easily do 80% x 25 or

0.8 x 25 = 20

OR (other method)
Turn the 80% into a fraction
80        x
----  =  -----
100     25

100 / 4 gives us 25, so 80 / 4 will give 20.

So the answer is 20 blue tiles.


Related Questions

A triangle has one angle that measures 50° and one angle that measures 40°.

What kind of triangle is it?

A.isosceles triangle
B.obtuse triangle
C.right triangle
D.equiangular triangle

Answers

Answer:

Right triangle

Step-by-step explanation:

If the triangle has one angle that measures 50 degrees and another angle that measures 40 degrees, then the last angle must measure 90 degrees because the 3 angles of any triangle add up to 180, so we can set up the following:

180 - (50 + 40) = 90 degrees.

Any triangle that has a 90 degree angle is automatically a right triangle.

Hope this helps!

________________________________________________________

Option A

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as an isoceles triangle, two angles must be of same measure. Thus, there are two possibilities.

⇒ 50 + 40 + 40 = 180                                                   [Angle 2 = Angle 3]

-------------- Or -------------

⇒ 50 + 40 + 50 = 180                                                   [Angle 1 = Angle 3]

Possibility-1:

⇒ 50 + 40 + 40 = 180⇒ 50 + 80 = 180⇒ 130 = 180 (False)

Possibility-2:

⇒ 50 + 40 + 50 = 180    ⇒ 100 + 40 = 180   ⇒ 140 = 180 (False)

Therefore, the triangle cannot be an isoceles triangle.

________________________________________________________

Option B

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as an obtuse triangle, the third angle must be a measure greater than 90°. Therefore,

⇒ 50 + 40 + (x > 90) = 180⇒ 90 + (x > 90) = 180⇒ (x > 90) = 180 - 90⇒ (x > 90) = 90 (False)

This is false because 90 is not greater than 90. Therefore, the triangle is not an obtuse triangle.

________________________________________________________

Option C

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as a right triangle, the third angle must be a measure equivalent to 90°. Therefore,

⇒ 50 + 40 + 90 = 180⇒ 90 + 90 = 180⇒ 180 = 180 (True)

Therefore, this triangle is a right triangle.

________________________________________________________

Option D

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as an equiangular triangle, all the angles must be equivalent (60°). Therefore,

⇒ 1st angle = 2nd angle = 3rd angle⇒ 50 = 40 = 3rd angle (False, because 50 is not equivalent to 40)

Therefore, this triangle is not an equiangular triangle.

________________________________________________________

In conclusion, we can conclude that Option C (Right triangle) is correct.

Help me please im like so desperate rn

Answers

Gcf = 7

42 + 35 = 7 x (6 + 5)

It’s 4 this is so people can find it easier

A figure can be broken into a rectangle and triangle. The rectangle has a base of 10 inches and height of 7 inches. The triangle has a baes of 4 inches and height of 5 inches.
What is the measure of the base of the triangle?
The base of the triangle b has a measure of inches.

Answers

Answer:

4 inches

Step-by-step explanation:

finding base of rectangle

area- 10x7= 70

base- 70/10= 7

finding base of triangle:

area- 4x5= 25

base- 25/5= 4

Answer:

4 in

Step-by-step explanation:

4

I don’t know what letters go in what order, an explanation would be appreciated

Answers

Answer:

Step-by-step explanation:

Congruent triangles:

   8) AC = DC              Given

       BC  = EC              Given

      ∠ACB ≅ ∠DCB    Vertically opposite angles are congruent

ΔACB ≅ ΔDCB       SAS congruent

9)  RS = TS                              Given

     SU =SU                              Reflexive property

     ∠RSU = ∠TSU                    Given

ΔRSU ≅ ΔTSU                  SAS congruent

A polar curve is represented by the equation r1 = 7 + 4cos θ.

Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.

Part B: Is the curve symmetrical to the polar axis or the line theta equals pi/2 Justify your answer algebraically.

Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?

Answers

R1=67
Curve=27
R1=7*4cos0 and r2=4+4cos9

Answer:

  a. dimpled: 4 < 7 < 2·4

  b. not symmetrical about θ = π/2

  c. r2: smaller, cardioid

Step-by-step explanation:

The general form of the equation for a limaçon can be written ...

  r = a·cos(θ) +b

This equation gives rise to 4 types of limaçon based on the relationship between a and b:

looped: b < acardioid: a = bdimpled: a < b < 2aconvex: 2a ≤ b

__

A.

We have a=4, b=7, so a < b < 2a. The limaçon is dimpled.

B.

The equation is not the same if θ is replaced by π/2 -θ. The curve is not symmetrical about θ = π/2.

C.

The equation for r2 ...

gives a cardioid limaçongives a limaçon with a smaller diameter (radial extent)

In parallelogram M NOP, PK = 5x and K N = n2 – 14.
What is PN?
A. 7
B. 36
C. 70
D. 100

Answers

Answer:

C.) 70

Step-by-step explanation:

The line PN is made up of PK and KN (PN = PK + KN). We also know that PK must equal KN (definition of a parallelogram). Therefore, you can set the value of both lines equal to each other, solve for x, then add them together to find PN.

PN = ?    
PK = 5x    
KN = n² - 14

PK = KN                                  <----- Both lines must equal one another

5x = n² - 14                             <----- Substitute values in

0 = n² - 5x - 14                        <----- Subtract 5x from both sides

0 = (x - 7)(x + 2)                      <----- Factor

x = 7    x = -2                          <----- Set both parentheses equal to 0

The value for "x" can be 7 and -2. However, it does not make sense to use a negative value in this situation. If we were to plug -2 into the equations, it would result in lines with a negative value. Therefore,  "x" must be 7. Next, plug this value in for "x" to find the numerical value of PK and KN.

PK = 5x  ----->  5(7) = 35

KN = n² - 14  ----->  (7)² - 14 = 35

The fact that these are equal makes sense. Now, add these two numbers to find the value of the overall line.

PK + KN = PN

35 + 35 = 70

Therefore, C.) 70 is the value of PN.

Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8
and BD = 4, what is the length of DC?

Answers

Answer: 2

Step-by-step explanation:

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C. 1/4

Step-by-step explanation:

Step 1

Make the fraction denominators the same!

1/2 will become 4/8 over here, and 2/8 is already good!

Step 2

Subtract the new fractions!

4/8 - 2/8 is easy! It's 2/8

Step 3

Simplify the answer (2/8)

2/8 will become 1/4 when simplified

Hence, the final answer is 1/4

or C

Please help me on this!

Answers

Answer:

A. The initial amount of medicine.

Step-by-step explanation:

Same explanation as the one I answered before. The 250 is the original value.

how do you do this question

Answers

Step-by-step explanation:

Given,

[tex]x = {3}^{m} [/tex]

[tex]y = {3}^{n} [/tex]

Now

Consider

[tex] {3}^{4m - 1} [/tex]

We know that

[tex] \frac{ {a}^{p} }{ {a}^{q} } = {a}^{p- q} [/tex]

Using this we can write

[tex] {3}^{4m - 1} = \frac{ {3}^{4m} }{ {3}^{1} } [/tex]

[tex] = \frac{ {3}^{4m} }{3} [/tex]

We know that

[tex] ({a}^{p}) ^{q} = {a}^{pq} [/tex]

Using this we get

[tex] \frac{ {3}^{4m} }{3} = \frac{ ({3}^{m})^{4} }{3} [/tex]

Since we know that

[tex] {3}^{m} =x [/tex]

We get

[tex]= \frac{ {x}^{4} }{3} [/tex]

Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3

Answers

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]

   = 30 × 5[tex]\sqrt{3}[/tex]

   = 150[tex]\sqrt{3}[/tex]

   ≈ 259.8 cm² ( to the nearest tenth )

A square piece of confetti has sides that are 20 millimeters long. What is the piece of confetti’s area

Answers

Square has 4 sides

20 mill for each side

we mutiply all four corners

=80 mill

Anybody want to help with math? :)
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Ty :)

Answers

Attached images. :)

-

Comment if it's confusing, I would love to explain. <3

please #3 is wrong i need help i only need the answer to it

Answers

3x² + 4

3.-3.-3 + 4

27 + 4

31

hope it helps...!!!

Answer:

31

EXPLANATION

[tex] = 3 \times { - 3}^{2} + 4 \\ = 3 \times 9 + 4 \\ = 27 + 4 \\ = 31[/tex]

Having trouble with this. Find the measure of the following arcs or angles.

Answers

The missing angle ∠APB, angle ∠CPD, and angle ∠EPA will be 65°, 77°, and 77° respectively.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The diagram is given below.

The angle ∠BPC is 38° and the angle ∠DPE is 103°.

Then the missing angle will be

Angle ∠CPD and angle ∠DPE are linear angles. Then we have

∠CPD + ∠DPE = 180°

  ∠CPD + 103° = 180°

             ∠CPD = 77°

Similarly, angle ∠APB, angle ∠BPC, and angle ∠CPD are linear angles. Then we have

∠APB + ∠BPC + ∠CPD = 180°

         ∠APB + 38° + 77° = 180°

                           ∠APB = 65°

Then the complete circle makes 360°. Then we have

∠APB = 360° - 65° - 38° - 77° - 103°

∠APB = 77°

More about the angled link is given below.

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The four small circles are identical. The total area of the small circles is 64pi square inches. What is the area of the larger circle? Write your answer in terms of pi .

Answers

Answer:

64 in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A=\frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A=\frac{16\pi }{4}=\frac{4\pi }{1}=4\pi[/tex]

Now lets get it back to  by square rooting the 4

[tex]A=\sqrt4\pi =2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² which simplifies to 64

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

How do I match these?

Answers

Step-by-step explanation:

fgx= x+6

g(f(x)=√x²+6

am not sure about the rest

no links, will be reported

Answers

Answer:

(1,0)

Step-by-step explanation:

This is because a system of equations is when two lines cross to form a point that they share. (1,0) is the point where the two lines cross/intersect.

Answer:

(1,0)

Step-by-step explanation:

The answer is where the ines intersect to form a point.

What is the surface area of the cylinder with a raidus of 4 and a high of 10 square meters? Use 3.14 for pi.

Answers

Answer:

351.68 m²

Step-by-step explanation:

surface area of cylinder = 2πrh + 2πr²

r = 4m

h = 10m

2πrh + 2πr² = 2*π*4m*10m + 2*π*(4m)² = 2*3.14*4m*10m + 2*3.14*4m*4m = 351.68 m²

Can anyone help please, Thanks.

Answers

Your going to want to take 34 pounds and subtract 2.6 pounds. If you need help with the division, check out a website called Calculator Soup. It’s very helpful. Good luck!

Sam is using the expression M/8n in class. What is the value of this expression when m = 4 and n = 1/2

Answers

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

Given: a→ = (5,-4) and b→ = (2,3) Find 3a→ - b→

A. (3,- 7)
B. (13,- 15)
C. (13,- 1)
D. (15, 4)

Answers

[tex]< 5,-4 > - < 2,3 > \implies < 5-2~~,~~-4-3 > \implies < 3~~,~~-7 >[/tex]

50 points!! help asap pls

Write the equation of a circle with a radius of length 10 and a center at (-4, -9).

Answer choices in attached image

Answers

Answer:

(x+4)² + (y+9)² = 100

Step-by-step explanation:

We want to find the equation of a circle with a radius of length 10 and a center at (-4, -9).

general equation of circle : (x-h)² + (y-k)² = r²

where (h,k) is at center and r = radius

the center is at (-4,-9) so h = -4 and k = -9 and the circle has a radius of 10 so r = 10

so we have (x-h)² + (y-k)² = r²

h = -4 , k = -9  and r = 10

(x-(-4))² + (y-(-9))² = 10²

==> apply double negative sign rule and remove parenthesis for -(-4) and -(-9)

(x+4)² + (y+9)² = 10²

==> simplify exponent

(x+4)² + (y+9)² = 100

and we are done!

Answer:

Option D

Step-by-step explanation:

Given:

Radius = 10 unitsCenter point = (h, k) = (-4, -9)

∴ x coordinate of center point: (h, k) ⇒ (-4, -9)

∴ y coordinate of center point: (h, k) ⇒ (-4, -9)

Equation of circle formula:

⇒ (x - h)² + (y - k)² = r²

Substitute the radius in the formula;

⇒ (x - h)² + (y - k)² = r²⇒ (x - h)² + (y - k)² = (10)²

Substitute the x and y coordinate in the formula;

⇒ [x - (-4)]² + [y - (-9)]² = (10)²      [x coordinate (h): -4; y coordinate (k): -9]⇒ [x + 4]² + [y + 9]² = 100   (Option D)

Therefore, Option D is correct.

a company is considering designing a new and better can opener. the company estimates the probability that the new can opener will be will be successful is 5/8. if it is successful, it would be able to make $200,000. of course, the company would make nothing if it were unsuccessful. the development costs for the can opener are $76,000 what is the expected value ?

a) $49,000
b)$75,000
c)-49,000
d)$125,000

Answers

Answer:

The answer is a.) $49,000

Step-by-step explanation:

i just took the test!!

Given that  the company estimates the probability that the new can opener will be will be successful is 5/8. If it is successful, it would be able to make $200,000. The company would make nothing if it were unsuccessful. The development costs for the can opener are $76,000. The expected value is $49000.

What is expected value?

Expected value is the return you can expect for some kind of action.

The formula for the Expected Value is: ΣX.P(X) .

The amount earned by the company if the new can opener is successful = Revenue of the company - amount invested = $200,000 - $76,000 = $124,000

Probability that the new can opener will be successful = 5/8

Amount earned/ lost if the new can opener is not successful = $0

Probability that the new can opener will not be successful = 1 – 5/8 = 3/8

Expected value = amount earned if the new can opener is successful * Probability that the new can opener will be successful + Amount earned/ lost if the new can opener is not successful * Probability that the new can opener will not be successful

= 124,000 * 5/8 + 0 * 3/8

= $49000

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If you do these 2 problems you get 100 points

Answers

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14)  Can't see the question :(

#1

x-4y≤-12-4y≤-x-124y≥x+12y≥1/4x+3

Put (0,0)

0≥0+3 is false

Shading will be away from origin.

y inetercept

y=3(when x=0)

Check the direction of line by taking 4 and -4

y=4/4+3=y=4y=-4/4+3=-1+3=2

The graph should bend down on left side while rise up in right side

Option A

#2

5x-4y>4-4y>-5x+44y<5x-4y<5/4x-1

Putting origin in it

0>-1

Shading away from origin

And

x+y<2y<2-x

Putting origin

0<2

Shading towards origin

Option B as shading should be downwards here

Question
Find the whole

140% of what number is 35?

Answers

The 140% of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Here we need to find out 140% of what number is 35

Suppose that number is x so the equation will be

[tex]140\%\times x=35\\\\\\\dfrac{140}{100}\times x=35\\\\\\x=\dfrac{35\times 100}{140}\\\\\\x=25[/tex]

Hence % of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

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Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Equation:

j(x) = -3x² - 5

Which part of the equation tell us that the graph opens downward?

Solution:

Here see that the leading coefficient of x² which is (-3) is less than 0, meaning negative. a < 0 Hence, the graph will open from downwards.

Answer:

The coefficient of x²

Step-by-step explanation:

The part of the function j(x) which shows the graph opens downward is the coefficient of x². Depending on whether the value is positive or negative, we will understand if it opens upward or downward.

can someone please help me answer this question??? help me please due in 15 min!!!

Answers

Answer:

c. 69

Step-by-step explanation:

Part 1: What is the mean score, rounded to the nearest whole number?

Part 2: What is the median score?

Part 3: What is the mode score?

THIS IS NOT A QUIZ DONT REMOVE

Answers

Mean : 16
Median : 17
Mode : 18




Explanation :

Mean :

8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20 = 383

383 divided by 24 = 15.95

Rounded : 16


Median :


8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20

There are 24 numbers here, the two middle numbers are 17 and 17.

17+17 = 34
34 divided by 2 = 17

Mode :


8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20

We see here 18 is repeated 5x, thus making it the number repeated the most.


The ratio of red sweets to sweets that are not red is 2:3
The ratio of green sweets to sweets that are not green is 6:19
Work out the ratio of red sweets to blue sweets to green sweets

I saw an answer but assuming that the total is 50 doesn't make any sense.
I also saw an answer that didn't put any method/calculations. I NEED to put the method there otherwise my teacher will think I cheated and I will not be able answer questions like this in the future.

Answers

Answer:

Extremely sorry if my answer is wrong or doesn't make sense! Also sorry that I couldn't solve it farther, I solved it using sense and haven't made it this far in math!

Step-by-step explanation:

If red is 2:3 then that means red to green is either 2:2 or 2:1. Same goes with blue.

If green is 6:19 then we can figure out the 2 possibilities for red to green.

First Possibility:

If the red to green ratio is 2:2, then the red to green to blue is 6:6:13 because 6 + 19 - 12 = 13.

Second Possibility:

If the red to green ratio is 2:3, then the red to green to blue ratio is 4:6:15 because 6 + 19 - 10 = 15.

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