Suppose your friends have the following ice cream preferences: 46% of your friends like chocolate (C). The remaining do not like chocolate. 20% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 8% of your friends like Chocolate (C) and also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate

Answers

Answer 1

Answer:

0.4 = 40% of this group likes chocolate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this questions:

Event A: Likes sprinkles

Event B: Likes chocolate.

20% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.2[/tex]

8% of your friends like Chocolate (C) and also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.08[/tex]

Of the friends who like sprinkles, what proportion of this group likes chocolate?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.2} = 0.4[/tex]

0.4 = 40% of this group likes chocolate


Related Questions

I bought a pack of 100 rectangular index cards. Each card measured 15 cm by 10 cm. The pack said: paper density=200gsm (grams per square metre). This means that a square metre of these cards weighs 200 g.

Each pack of cards is wrapped in a sheet of 50GSM paper with an area of 800cm^2. I have a number of packs and wish to store them on a shelf which cannot hold more than 10kg. What is the largest whole number of wrapped pack that can be stored?

Answers

Answer:

DJ docks glam Kalahandi focusing more than a few days to get the latest flash player of year and a half hour or so to the following information to you soon and we are looking to

Expression A: (2k + 8) + (5k + 10)
Expression B: 76 + 18
Are the two expressions equivalent?
A. No, because for k = 3, the value of Expression A is 29 and the value of Expression B is 39.
B. Yes, because for k= 3, the value of Expression A is 75 and the value of Expression B is 75.
C. Yes, because for k= 3, the value of Expression A is 39 and the value of Expression B is 39.
D. No, because for k= 3, the value of Expression A is 39 and the value of Expression B is 75.

Answers

k = 3

Expression A:

[tex](2k + 8) + (5k + 10) = 2k + 8 + 5k + 10 = 7k + 18 = 7*3 + 18 = 21 + 18 = 39[/tex]

Expression B:

[tex]76 + 18= 94[/tex]

Diana and Tom buy two cell phones. The phone numbers assigned to each are consecutive integers with a sum of 11,107,273. If the smaller number is Diana's, what are their phone numbers? (Do not include
area code and do not include dashes or spaces.)
Diana's phone number
Tom's phone number

Plz help is algebra

Answers

Answer:

Is this the full question?

A debit card comes out of your ____ and a credit card is…

Answers

Answer:

account

Step-by-step explanation:

Account is the answer for this question!!

Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention of new technology to confirm the tenets that now make up the cell theory. Now, we don't even question that cells are the basic units of life and only come from preexisting cells. What technology had the biggest impact on the development of the cell theory?


centrifuge


electrophoresis


microscope


telescope

Answers

A. Centrifuge had the biggest impact on the development of the cell theory

The technology had the biggest impact on the development of the cell theory is microscope. Hence, option C is correct.

What is cell?

The fundamental units of all living organisms are cells. There are many billions of cells in the human body. They give the body structure, absorb nutrients from meals, turn those into energy and perform certain tasks. Additionally, cells have the ability to replicate themselves and contain the body's genetic material.

Each component of a cell has a different purpose. These components include organelles, which are specialized structures that carry out specific functions for the cell.

A cell's nucleus acts as its command center, giving instructions on how to develop, develop, divide, or die. The cell's genetic material, DNA (deoxyribonucleic acid), is also stored there. The envelope, which encircles the nucleus and divides it off from the rest of the cell, shields the DNA and serves as a barrier.

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Math , pleaaaase

You are given the results of measurements of sizes of a crushed stone for road
construction. The technical requirement is the following: The mean size of the stones must be in the interval [33-36] mm and standard deviation must be smaller than 6 mm. Will this batch pass the technical control?

Answers

Answer:

The standard deviation is above 6 mm, which means that this batch does not pass the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

[tex]M = \frac{31+32+38+34+45+41+24}{7} = 35[/tex]

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of itens. So

[tex]S = \sqrt{\frac{(31-35)^2+(32-35)^2+(38-35)^2+(34-35)^2+(45-35)^2+(41-35)^2+(24-35)^2}{7}} = 6.46[/tex]

The standard deviation is above 6 mm, which means that this batch does not pass the technical control.

What js the area of this hexagon? All the sides have the same length.

Answers

Answer:

C

Step-by-step explanation:

You can divide the hexagon into a rectangle and two triangles. Using the area formulas for all shapes, the area of each can be calculated and added together.

F(x) = 16x^5
Linear or Non linear
(NO LINKS PLEASE!)

Answers

Answer:

y = 16x^5

Step-by-step explanation:

What must x equal if line a is parallel to line b?
•what type of angles?
•value of x?

Answers

Answer:

Corresponding angles

[tex](2x + 35) \degree = 103\degree \\ 2x = (103 - 35)\degree \\ 2x = 68\degree \\ x = 34\degree[/tex]

If x: y = 7:8 and y: z = 9:10, find x:y:z

Answers

9514 1404 393

Answer:

  x : y : z = 63 : 72 : 80

Step-by-step explanation:

We can make the y-value the same by multiplying the first proportion by 9 and the second by 8.

  x : y = 63 : 72

  y : z = 72 : 80

Now, we can write ...

  x : y : z = 63 : 72 : 80

(5.6x - 4) + (16 - 2.1x)

What is the sum of this expression?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{(5.6x - 4) + (16 - 2.1x)}[/tex]

[tex]\large\text{DROP the PARENTHESES}[/tex]

[tex]\large\textsf{5.6x - 4 + 16 - 2.1x}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{5.6x - 2.1x - 4 + 16}[/tex]

[tex]\large\textsf{5.6x - 2.1x = \bf 3.5x}[/tex]

[tex]\large\textsf{-4 + 16 = \bf 12}[/tex]

[tex]\large\textsf{= \bf 3.5x + 12 }[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What angle mesuare is better

Answers

Answer:

Angle A is the greatest.

Step-by-step explanation:

Pls help 10 ptsssssssssssss
NO LINKS

Answers

Answer:

A

Step-by-step explanation:

variable x should be isolated ALWAYS ISOLATE VARIABLE may i be marked as brainliest?

Writing Equations of Lines

Answers

Answer:first: x,y second: -x,y third:-x,-y fourth: x,-y, you can use this as a guide since it already tells you where to put it, the slop isn’t basically the change in y values between the same two points, this could get you through since I can’t point it out when my files can’t load. Sorry

Step-by-step explanation:

In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior
angle at C is (16x)".
(122)
15x – 10)
(16x) °
А
С
What is the measure of the exterior angle at C?
PLS HELP

Answers

Answer:

measure of exterior angle  at  C = 160°

Step-by-step explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles.  So,

m∠A + m∠B = measure of exterior angle  at  C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle  at  C = 16x = 16(10) = 160°

Does anyone know what is the value of x

Answers

Answer:

7.5

Step-by-step explanation:

By intersecting secants theorem:

[tex]12(12 - x) = 6(6 + 3) \\ \\ 12(12 - x) = 54 \\ \\ 144 - 12x = 54 \\ \\ 144 - 54 = 12x \\ \\ 90 = 12x \\ \\ x = \frac{90}{12} \\ \\ x = 7.5[/tex]

Will 4 - 6 be a negative or positive answer?
Negative
Positive

Answers

Answer:

it will be negative

Step-by-step explanation:

it will be -2 because 6 cannot be taken out of 4, when looking on a number line if you move your point six points to the left (because it is minus six) of 4 you will end up at negative two. Any equation that is subtracting a number bigger than itself will be negative.

Hope this helps :)

please help me ASAPPPPPPPP

Answers

Answer:

( x+1 ) ( 6x - 1 )

fren drew a triangle with no congruent sides and 1 right angle.which term accurately describes the triangle

Answers

Scalene means that all sides are of unequal length. This is a truth about the triangle, since we know that no sides are congruent.

The most accurate terms to describe the triangle that Fran drew would be scalene and right.

You saved $140 on your new laptop because you bought it online. If this was a 10% savings from the original price, find the original cost of the laptop.

Answers

Answer:

$155.56

Step-by-step explanation:

Find the original cost by dividing the new cost by 0.9:

140/0.9

= 155.56

So, the original cost was approximately $155.56

please help with this practice sheet my parents gave me (show work pls)

Answers

Answer:

Answer:

Volume of cylinder =πr²h=π×4²×5=80π m³

=251.2m³

Volume of cuboid=l*b*h=7*3*2=42in³

Volume of cone =(⅓πr²h)+(⅓πr²h)⅓π×(6/2)²(12+8)=60πft³=188.4ft³

I cried about this question.Pease help I will do anything Iv'e been crying about this question

Answers

Answer:

Step-by-step explanation:

SOLVE TWO


OF THESE QUESTIONS



PLS DUE RN



WILL GIVE




BRAINLIST

Answers

Answer: 52.7 Fº

and the 2nd question isn't visible in the photo

The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3

Answers

Answer:

-3

Step-by-step explanation:

Answer:

The function f(x) is graphed below.

Use the graph of the function to find, f(-6).

A. -3

B. -1

C. 1

D. 3

Step-by-step explanation:

The function f(x) is graphed below.

Use the graph of the function to find, f(-6).

A. -3

B. -1

C. 1

D. 3

answer -3

question 12 helllllllppppp plazzzzzzz

Answers

Answer:

Step-by-step explanation:

It says Renita takes minutes to ride half a mile.

She leaves 30 minutes before school.

Total distance is

               [tex]2\frac{1}{2} = \frac{1}{2}+ \frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2}\\[/tex]

In

[tex]2\frac{1}{2} \ there \ are \ 5 \ times \ \frac{1}{2} \ mile .\\[/tex]

Therefore total time to reach school will be  5 x 5 = 25minutes.

Since she leaves 30minutes before school. She will reach 5minutes early before school.

An equation that is true for all real numbers for which both sides are defined is called​ a(n)

Answers

Answer:

Identity- An equation that is true for all real numbers for which both sides are defined is called​ a(n) Identity

Step-by-step explanation:

It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.

What is real numbers?

Real numbers are just the numbers on the number line. It is the easiest way to think of them. Basically, if you can put the number in question on an infinitely big number line, then it is a real number.

It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.

An identity is a balance that remains constant paying little respect to the qualities decided for its variables. They are utilized as a part of streamlining or reworking polynomial math articulations. By definition, the two sides of a character are tradable, so we can supplant one with the other whenever.

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The table shows a pattern for two units of eustomary capacity.
1
4
2
8
3
12
4

Which are the best labels for each column?
A. Gallons, Pups
B. Quarts, Cups
C. Pints, Cups
D. Cups, Fluid Ounces

Answers

your answer is gallons to pints

Use the compass and ruler to construct the bisector of the angle given below.

Answers

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.

Finally, you have the bisector of the angle that is represented by the green line.

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Answer? ................,,,,,,

Answers

Step-by-step explanation:

what is the formula for the whole surface area of a sphere ?

[tex]a = 4 \times \pi \times {r}^{2} [/tex]

that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.

but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.

in radians the arc length of that angle segment on the "equator" of the sphere

s = r×Theta

and the whole equator circumference is

c = 2×pi×r

so, the Theta'th part is then

r×Theta / 2×pi×r = Theta / 2×pi

we only need that part of the whole sphere surface area, so the formula would look like

[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]

=>

[tex]lune = theta \times 2 \times {r}^{2} [/tex]

NEED HELP NOW PLZZZZZZ HELP

Answers

3.14 square centimeters
The correct answer should be 3.142
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