Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.

Find the expected number of red counters selected.

Answers

Answer 1

Answer:

1.4

Step-by-step explanation:

Probability of selecting a red counter :

Number of red counter / total number of counters

5 / (5 + 3) = 5 /8 = 0.625

Probability of selecting a blue counter = 0.375

Let number of red counters :

0, 1 or 2

0 red counters :

Expected value = x * p(x)

0 + (0.625*1) + (0.390625 * 2)

0 + 0.625 + 0.78125 = 1.40625

Expected number of red counters = 1.4


Related Questions

Can someone please help me with this questions please help me I really need help please.

Answers

Answer:

C) Line A does not intersect Line B.

Step-by-step explanation:

Line A passes through (6 ,-30) & (-2 , 10)

Line B passes through (-4 , 28) & (2 , -2)

Find the slopes for each line. To find the slope, use the slope formula:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Line 1:

Let:

[tex](x_1 , y_1) = (6 , -30) \\(x_2 , y_2) = (-2 , 10)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{10 - (-30)}{-2 - 6} = \frac{10 + 30}{-8} = \frac{40}{-8} = \frac{-5}{1}[/tex]

Line 2:

Let:

[tex](x_1 , y_1) = (2 , -2)\\(x_2 , y_2) = (-4 , 28)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{28 - (-2)}{-4 - (2)} = \frac{28 + 2}{-4 - 2} = \frac{30}{-6} = \frac{-5}{1}[/tex]

The two lines share the same slope, therefore, they are parallel to each other. This means that they do not intersect at any given point.

please help due in a few hours!

Answers

Answer:

54 cm²

Step-by-step explanation:

1 cm= 3 m

2 cm= 6 m

3 cm= 9 m

9×6=54

Area of bedroom= 54 cm²

198cm^2 is the correct answer

What is the slope of the line passing through the points (-9,-3) and (7,-7)

Answers

Answer:

The slope is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{Y_{2} -Y_{1} }{X_{2}-X_{1} }[/tex]

-7-(-3)= -7+3= 4

4/?

7-(-9)= 7+9 = 16

4/16=1/4

I hope this helps :-)

John buys 6 shirts. For every shirt you purchase, you get one for 30% off. If the normal
price for each shirt is $20.00, how much money did John spend on his shopping trip? (Tax is not being calculated.)

Answers

Answer:

$36

Step-by-step explanation:

Basically, every shirt is $6 because 30% of 20 is 6. If he buys 6 shirts, then 6 times 6 is 36 dollars spent, tax not included.

Rachel makes $38.25 in 3 hours.
How much money did she make
per hour?
4
HELPPPPP 10 points
I NEED IT NOW

Answers

Answer:

1 hour: $12.75

Step-by-step explanation:

Easy divide 38.25 by 3 which is 12.75

she made $12.75 . just divide 38.25 by 3 !!

Puzzle One
Determine the correct vocabulary word(s) in the questions below. To break the code of puzzle
one you will need to determine the third letter of the word in EACH space and then put those
letters in alphabetical order to break the code. For example, if the first blank was MODE the
letter you would use to help you break out would be D.
*Hint: Use the word bank to help you, some words may be used more than once and some may
not be used at all.
1) The
tells you how the data is spread out
of the data.
for
2) The might be a better representation of the data if there are
outliers that skew the data.
3) To find the
of
you add the numbers and
by the quantity
distance between
4) The Mean Absolute Deviation (MAD) is the
each
point and the
MODE
MEDIAN
MEAN
RANGE
NUMBERS
QUARTILE
Word Bank:
MULTIPLY
AVERAGE
DIVIDE
SUBTRACT
INNER
DATA
FIFTY
TWENTY
PERCENT
Code:
Math in the Mid 2019
MI

Answers

Answer:

Ошйжй Щ отдйдй шубу Ц дцдць о о

Step-by-step explanation:

help please! :)) ill do whatever it is that gets you guys points!!! please help!

Answers

Answer:

7.5 in.

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

using pythagorean theorem

Hyp²= Opp² + Adj ²

where 9= hyp

5= adj

and x = opp

9²=x²+5²

81=x² + 25

collect like terms

81-25=X²

56=X²

since we're looking for X and not X²

we square root both sides

√x²=√56

x=7.483 approximately 7.5

Lynn is trying to determine how far away Student B is from the balloon. He decides to use the

equation shown below. Is his equation correct? Why or why not?

5

cos 60º =

BIV x

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the image that illustrates the scenario is not given.

However, I can deduce that the question is about a right-angled triangle.

So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.

For triangle A (solve for b)

Using cosine formula.

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos 60= \frac{5}{b}[/tex]

Make b the subject

[tex]b= \frac{5}{\cos 60}[/tex]

For triangle B (solve for b)

Using cosine formula.

[tex]\sin \theta = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin 60= \frac{b}{5}[/tex]

Make b the subject

[tex]b = 5\sin 60[/tex]

For triangle C (solve for b)

Using cosine formula.

[tex]\tan \theta = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan 60= \frac{b}{5}[/tex]

Make b the subject

[tex]b = 5\tan 60[/tex]

Answer:

Did you get the answer If so please give it to me.

Step-by-step explanation:

what is the measure of ∠x?

Answers

Answer:

58

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90-32=58

20, 17, 14
Write donn
the
4 th
term​

Answers

Answer:

11

Step-by-step explanation:

you subtract 3 every time, so 14-3 = 11

x - 8 = 68 what is the value of
x​

Answers

x - 8 = 68

x - 8 + 8 = 68 + 8

x = 76

hope this helped

Tell whether the angle measures can be those of a triangle.

20°, 160°, 20°

Yes, can be those of a triangle.
No, cannot be those of a triangle.

Answers

No.

The 3 angles of a triangle need to equal 180 degrees.

The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.


Question 5 Multiple Choice Worth 1 points)
(05.02 MC)
Find the measure of angle x in the figure below.
52
59
X
63
O 35
O 48°
0 69
O 789

Answers

Answer:

your answer should be 48 degrees

During his shift at Pennant Sports Shop, Sam compared the items sold during last weekend's sale. There were 25 lacrosse sticks sold on Friday, 10 of which were defense sticks. There were 50 lacrosse sticks sold on Saturday, 15 of which were defense sticks. Did Pennant Sports Shop sell the same ratio of defense sticks to total lacrosse sticks on both days?

Answers

Answer: No. Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days.

Step-by-step explanation:

On Friday, there were 25 lacrosse sticks sold, 10 of which were defense sticks. The ratio of defense sticks to lacrosse will be:

= 10/25 = 2/5 = 2:5

On Saturday, there were 50 lacrosse sticks sold, 15 of which were defense stick. The ratio of defense sticks to lacrosse will be:

= 15/50 = 3/10 = 3:10

Based on the calculation above, Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days

Part b: The length of the hypotenuse is?

Answers

Answer:

B

Step-by-step explanation:

cus thats the formula

envision a totem pole, Estimate the height of the totem pole in the front. How did you go about deciding how to estimate its own height.

Answers

Answer:

(5.1×10^15)×(8.1×10^5

help, please Ill mark brainliest!

Answers

Answer:

the answers are 12.5, 5, 2, 0.8 and 0.32

Step-by-step explanation:

2(0.4)^-2

=2(6.25)

= 12.5

2(0.4)^-1

= 2(2.5)

=5

2(0.4)^0

=2(1)

=2

2(0.4)^1

=2(0.4)

=0.8

2(0.4)^2

=2(0.16)

=0.32

find the radius of the congruent circles. Thanks and hope you have a good rest of your day!!

Answers

Answer:

the radius is 10 since 10 plus ten is 20

a rectangular window dimensions areX by X +2 and window has a 3 inch frame all the way around the total area of the window and frame is 195 in

Answers

Answer:

Length of window = 9 inch

Width of window = 7 inch

Step-by-step explanation:

Given;

Area of window and frame = 195 inch²

Frame width = 3 inch

Length of window = x + 2

Width of window = x

Find:

Value of x

Computation:

Length of window and frame = x + 2 + 3 + 3

Length of window and frame = x + 8

Width of window and frame = x + 3 + 3

Width of window and frame = x + 6

Area of window and frame = (l)(b)

(x + 8)(x + 6) = 195

x² + 6x + 8x + (8)(6) = 195

x² + 14x + 48 = 195

x² + 14x - 147 = 0

x² + 21x - 7x - 147 = 0

x(x + 21) - 7(x + 21) = 0

So,

x + 21 = 0 and x - 7 = 0

So,

X = 7

Value of x = 7

Length of window = 9 inch

Width of window = 7 inch


Help pleaseeeeeeeeeee

Answers

Answer:

d

Step-by-step explanation:

Please answer the following

please explain how you got your answer

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

Out of 12 students, 3 liked Hamlet 3/12 is 1/4 simio lidies and 1/4 can be 25%

Answer:

1/4 would be the answer

Step-by-step explanation:

There are 12 total students in the class, and 3 of them liked Hamlet best. So the chances of randomly picking a Shakespeare student that likes Hamlet best is 3/12. If we simplify this answer, we would get 1/4.

pls help immediately!!! i’ll be giving brainiest to those who provide the write answer and who don’t leave a link!

Answers

Answer:

trapazoid

Step-by-step explanation:

.....

i believe it would be trapezoid :)

PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP I BEG U PLS BOTH QUESTIONS PLS

Answers

Answer:14 is obtuse

15 is A

Step-by-step explanation:

For 14 the only remaining angle is over 90

For 15 the first triangle has all same side and angle measures

second triangle has 2 equal side measures

and third has none

Answer:

1: Obtuse

2: A

Step-by-step explanation:

One angle is 57° and another is 12°. If we add them, we get 69. Subtract 69 from 180 to get missing angle: 180-69=111

the missing angle is 111°. We know this is not a right triangle because those have a 90° angle. Since one angle is bigger than 90 (111°), the triangle is obtuse.

For the second one, we see that the first triangle is equal on all sides, so it is equilateral. The second triangle has just two equal sides, so it is isosceles. The thrid one is different side length on all of them, so it is scalene. the answer is A.

Will mark brainliest for the **CORRECT** answer!

Answers

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

True or false is the graph of y = 2/3 x + 4

Answers

Answer:

False. 2/3 is positive so therefore, it would be increasing, not decreasing.

Step-by-step explanation:

5 in=? feet fraction form​

Answers

Five inches is 5/12 of a foot. To solve this, you need to know that there are 12 inches in a foot.

Function notation ? G (x)=x-3 ; find g(-6) .. how do I answer this?

Answers

Answer:

The value of g(-6) will be "-9".

Step-by-step explanation:

The given function is:

⇒  [tex]g(x)=x-3[/tex]

then,

⇒  [tex]g(-f)=?[/tex]

On putting the value "-6" at the place of "x", then we get

⇒  [tex]g(-6) = (-6)-3[/tex]

⇒            [tex]=-6-3[/tex]

⇒            [tex]=-9[/tex]

Thus the above is the correct solution.

what is the value of y

Answers

Answer:

y= -6

Step-by-step explanation:

-2y - 5y= -7y

-7y=42

42/-7=

y= -6


Please help. No files allowed or you will be reported

Answers

the answer should be 27/256

Describe how to find the sale price of an item that has been discounted 15%.

Multiply the original price by
% to find the sale price.

Answers

Multiply the discount percent to the marked price and subtract from the marked price.

What will be the selling price?

As we know that the discount is always given on the marked price of the product.

We will take one example to understand it supposes the marked price of any object is MP= 100 and the discount =15% so to find the SP

First, find the discount amount

[tex]MP\times Discout \ percent =100\times \dfrac{15}{100} =15[/tex]

Now to find the SP subtract the discount from the MP

[tex]SP=MP-Discount[/tex]

[tex]SP=100-15=75[/tex]

So for finding SP multiply the discount percent to the marked price and subtract from the marked price.

To know more about profit and loss follow

https://brainly.com/question/19104371

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