P(vanilla) =0.3 P(sundae)=0.2 P(vanilla and sundae) =0.15 find the probability that a customer ordered vanilla ice cream given they ordered a sundae. P(vanilla | sundae) =?

Answers

Answer 1

Answer:

0.75

Step-by-step explanation:

P(A | B) = P(A and B) / P(B)

P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)

P(vanilla | sundae) = 0.15 / 0.2

P(vanilla | sundae) = 0.75

Answer 2

the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75

Given :

P(vanilla) =0.3,  P(sundae)=0.2,  P(vanilla and sundae) =0.15

we need to find the probability that a customer ordered vanilla ice cream given they ordered a sundae.

[tex]P(vanilla | sundae)=\frac{P(vanilla \; and \; sundae)}{P(sundae)}[/tex]

Substitute the values  and find the probability

[tex]P(vanilla | sundae)=\frac{ 0.15}{0.2}=0.75[/tex]

[tex]P(vanilla | sundae)=0.75[/tex]

the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75

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Related Questions

triple 9, then multiply 7 by the result in an EXPREESION.​

Answers

Answer:

27 x 7=X

Step-by-step explanation:

Answer:

Step-by-step explanation:

7+7+7=21*7=147

At the battle of bunker hill approximately 2400 colonial army troops clashed with 3000 British army troops what is the ratio of the number of British army troops to the number of colonial army troops ?

Answers

Answer:3000:2400

Step-by-step explanation:

The ratio of British army troops to colonial army troops at the Battle of Bunker Hill is 3,000:2,400, which simplifies to 5:4.

The ratio of the number of British army troops to the number of colonial army troops at the Battle of Bunker Hill is calculated by dividing the number of British troops by the number of colonial troops. With 3,000 British troops and 2,400 colonial troops, the ratio is 3,000:2,400.

To simplify the ratio, you could divide both sides by the greatest common divisor. In this case, both numbers can be divided by 1,200 (which is the greatest common divisor of 3,000 and 2,400) to give a simplified ratio.
After dividing both numbers by 1,200, the simplified ratio of British to colonial troops is 2.5:2 or, expressed as a fraction, 2.5/2, which simplifies further to 5:4.

Casey has at most $50 to spend on pants. She wants but 3 identical pairs of pants and has a $10 off coupon. Which inequality models all possible prices,p, in dollars, for a pair of pants that casey can afford?

Answers

The inequality that models all possible prices,p, in dollars, for a pair of pants that casey can afford is P ≤ 20

Solution:

Given that, Casey has at most $50 to spend on pants.  

She wants but 3 identical pairs of pants and has a $10 off coupon.  

We have to find which inequality models all possible prices,p, in dollars, for a pair of pants that casey can afford

"p" represents the price in dollars for a pair of pants that casey can afford

Now, we know that,  

Money spent casey ≤ $ 50

Cost of 3 identical pairs of pants – coupon worth ≤ 50

3 x cost of 1 pair of pant – 10 ≤ 50

3 x cost of 1 pair of pant ≤ 50 + 10

3 x cost of 1 pair of pant ≤ 60

Cost of 1 pair of pant ≤ 60/3

$ P ≤ 20

P ≤ 20

Hence, the inequality is P ≤ 20

You have 6 donuts and you want to give 2/3 of them to a friend and keep 1/3 for yourself. How much of the whole pan of brownies did John eat.

Answers

Answer:

None

Step-by-step explanation:

DONUTS CANNOT BECOME BROWNIES

Answer:

John ate 2 donuts for himself and gave 4 donuts to friend.

Step-by-step explanation:

(2/3)*6=4

6-4=2

Select the correct expressions and value.
Identify the expressions and the value equivalent to 4 times 3 cubed.
3x3°) 4 x 3" 108 243
4x3*3*3] 3x4x4x4 4+3+3+3]

Answers

Answer:

Step-by-step explanation:

4*3^3=4*3*3*3=4*9*3=4*27=108

Please help

AB=AD and BC=DC

Answers

Answer:

The value of x  in the given figure is  110°

Step-by-step explanation:

Here, In ΔABD,

AB=AD and  ∠ ABD =  35°

Now, ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL.

      As,  AB=AD

⇒ ∠ ABD =   ∠ ADB =    35°  

Now, In ΔABD,  by ANGLE SUM PROPERTY:

∠ ABD  + ∠ ADB +   ∠ DAB  =  180°

⇒ 35°   + 35°   + x  = 180°  

or,  x = 180°  - 70°  = 110°

⇒ x  = 110°

Hence, the value of x  =  110°

Answer:

110

Step-by-step explanation:

Since AB=AD, AB = 35 so that means AD = 35. 35+35=70. A triangle is 180, so 180-70=110

The probability of rolling a fair die and not getting an outcome less than 3 is

Answers

The probability of not getting an outcome less than 3 is 2/3

Step-by-step explanation:

We can solve it by finding the probability of getting a number less than 3 and then taking its complement

So,

A die is rolled then

S = {1,2,3,4,5,6}

n(S) = 6

Let p be the probability of getting a number less than 3

The numbers less than 3 are {1,2}

So,

[tex]p =\frac{2}{6}\\p = \frac{1}{3}[/tex]

Let q be the complement of p,

The sum of probability of an event's occurrence and non-occurrence is 1

So,

p+q = 1

q = 1-p

[tex]q = 1 - \frac{1}{3}\\q = \frac{3-1}{3}\\q = \frac{2}{3}[/tex]

The probability of not getting an outcome less than 3 is 2/3

Keywords: Probability, Sample Space

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The probability of rolling a fair die and not getting an outcome less than 3 is 2/3, as there are four favorable outcomes (3, 4, 5, 6) out of six possible outcomes on a fair six-sided die.

To clarify, rolling a die and not getting an outcome less than 3 means getting a 3, 4, 5, or 6. Since a fair die has 6 sides, each side has an equal chance of landing facing up, so the probability of getting any specific number is 1/6.

The outcomes that meet our condition are 3, 4, 5, and 6, which are four possible outcomes out of six. Therefore, the probability is calculated as the number of favorable outcomes over the total number of outcomes, which is 4/6. To simplify 4/6, we divide both the numerator and the denominator by the common factor of 2, which gives us 2/3.

Thus, the probability of rolling a number that is not less than 3 is 2/3.

(2x^3-4x^2-3x-9) ÷ x-3

Answers

Answer:

2x squared + 2x + 3

Step-by-step explanation:

you can either use synthetic division or use long division. either way will work. search up synthetic and long division on y___ube and you should get it

F(x) = -3x +20; f(8)

Answers

Answer:

f(8)=-4

Step-by-step explanation:

f(x)=-3x+20

f(8)=-3(8)+20

f(8)=-24+20

f(8)=-4

The tortoise and the Hare are running their final
race of the season, The Tortoise is running at a
pace of 1 mile every 4 hours and has currently
ran 15 miles. The Hare is running at a pace of 2
miles every hour and currently has ran 1 mile.

Answers

Answer:

the hare will be at a pace of 1 mile

Step-by-step explanation:

so that means every 1/2 of a hour

Answer:

ya what they said on top of me

Step-by-step explanation:

noooooooooooooooooooooooooo

AMUNG US IN RL

Write the equations in Word form:
(2x8) - (3x3)

Answers

Answer:

Three multiplied by three in parentheses subtracted from two multiplied by eight in parentheses.

Answer:

the product of two and eight minus the product of three and three

Step-by-step explanation:

How to draw two lines with slope 3/4

Answers

Just make sure that the line goes 4 unit to the right as it goes 3 units up.

If you have a grid you need to fill in you can plot these points, and pass through them with a line.

y=3/4x: (0,0) and (4,3)

y=3/4x+1: (0,1) and (4,4)

What 5 fractions are between -8/10 and -4/5

Answers

Final answer:

The student's request for fractions between -8/10 and -4/5 cannot be fulfilled because these two fractions are equivalent. To provide a meaningful answer, it's assumed that the intended question is to find fractions between -8/10 and -9/10, for which examples are given.

Explanation:

The question is asking for five fractions that are between -8/10 and -4/5. First, notice that -8/10 is equivalent to -4/5, so we actually need to find fractions between two identical values. This is not possible as no fractions can exist between two identical numbers. However, assuming that the question intends for incremental fractions between two different numerators with the same denominator, we could consider finding fractions between -8/10 and -9/10, or between -7/10 and -8/10.

For simplicity, let's find five fractions between -8/10 and -9/10:

-17/20

-18/20

-19/20

-39/40

-79/80

These fractions are chosen because they simplify to values that lie between -8/10 and -9/10 when reduced to the same denominator.

I have trigonometry pile up - puzzle one and i need help solving it

Answers

Answer:

do you have a picture

Step-by-step explanation:

Solve.
5. During the summer, Jayden
volunteers at the library for 20 hours
each week for 7 weeks. How many
hours does Jayden volunteer in all?

Answers

Answer:

140 hours

Step-by-step explanation:

Because you do 20 hours times 7 weeks because it says in all so you do 20 times 7 which equals 140 hours

Enter the indicated element.

Answers

[tex]a_{1,3} = 9[/tex]

Step-by-step explanation:

The elements of matrices are represented in the form

[tex]a_{r,c}[/tex]

Here r is the row number and c is the column number.

Given matrix is:

[tex]A = \left[\begin{array}{ccc}3&6&9\\2&4&8\end{array}\right][/tex]

The elements of matrix will be represented by a_{r,c}

We have to find [tex]a_{1,3}[/tex]

Which means that the first row and third column.

The first row is: 3   6    9 and the element in third column is: 9

So,

[tex]a_{1,3} = 9[/tex]

Keywords: Matrices, Elements

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Cheryl is organizing her movie collection. If each movie case is
7 inch wide, how many movies can fit on a shelf 5 feet wide?​

Answers

Answer:

The number of movies that can can fit on shelf of 5 feet is 9 .

Step-by-step explanation:

Given as :

The measure of each movies case = 7 inches wide

Let the number of movies for 5 feet wide = n

Now ,

∵ 1 feet = 12 inches

∴ 5 feet = 12 × 5 = 60 inches

I.e 5 feet = 60 inches

Now, Again

For 7 inches wide  , the number of movies = 1

So, for 1 inch wide case, the number of movies = [tex]\frac{1}{7}[/tex]

∴ For 60 inches wide case, the number of movies = [tex]\frac{1}{7}[/tex] × 60

I.e For 60 inches wide case, the number of movies = 8.57 ≈ 9

Hence the number of movies that can can fit on shelf of 5 feet is 9 . Answer

3x + 2y = 12
2x + 5y = 8
process of elimination? how do I get the answer for this kind of question?​

Answers

Answer:

(4, 0)

Step-by-step explanation:

To use elimination, you need to make the coefficients of one of the variables the same in each equation.  For example, we can multiply the first equation by 2 and the second equation by 3:

6x + 4y = 24

6x + 15y = 24

Now we can subtract the equations, eliminating the x terms.

(6x + 15y) − (6x + 4y) = 24 − 24

11y = 0

y = 0

Now plug into either equation to find x.

3x + 2y = 12

3x + 0 = 12

x = 4

Jamie buys 3 snacks and 2 bottles of juice.
Each snack costs $0.75, and each bottle of juice costs j dollars.
The total cost of the snacks and bottles of juice is $6.75.
Which of the following equations could be used to find the cost of a bottle of juice, in dollars?
(A) 0.75 + 2= 6.75
B 2.25 +2j = 6.75
c (3 (0.75 + 2) = 6.75
D) 5 (0.75 +j) = 6.75​

Answers

B. 2.25+2j=6.75 That’s the answer I got

Answer:

B is the only possible answer

Step-by-step explanation:

A - 0.75+2 doesn't equal 6.75

C - 3*2.75 = 8.75 not 6.75

D - there is two juice bottles not one so it should be 2j not just j

And thank you

Pleaseeee helpppp...

Answers

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

1.[tex]\overline{ZW}\ ||\ \overline{YX}[/tex]

2.[tex]\overline{ZW} \cong \overline{YX}[/tex]

To Prove:

Δ XYZ ≅ Δ ZWX

Proof:

[tex]\overline{ZW}\ ||\ \overline{YX}[/tex].........{given}

∴ ∠ WZX ≅ ∠YXZ  ...{if lines are parallel then alternate angles are equal}..( 1 )

Now, In  Δ XYZ and Δ ZWX  

               XY ≅ ZW          ……….{Given}

         ∠ YXZ ≅ ∠ WZX    ..……..{ Alternate Angles Property or From ( 1 )}

               XZ ≅ ZX           ……….{Reflexive Property}

     ∴  Δ XYZ ≅ Δ ZWX    ….......{By Side-Angle-Side test}

..Proved

How do you use descriptive property to solve 48÷3

Answers

Answer:

16

Step-by-step explanation:

48/3=16

Using scientific notation, what is the solution to (5.65 * 105) + (4.87 * 103)?

Answers

1089.61 your welcome

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D.

Step-by-step explanation:

2y+3y-6(y+2)=-y+6 solve for y

Answers

Answer:

No solution.

Step-by-step explanation:

Add similar elements: 2y + 3y = 5y

5y - 6 (y + 2) = -y + 6

Apply the distributive Law:

6y - 6 x 2 = 6y - 12

5y - 6y - 12 = -y + 6

Add similar elements: 5y - 6y = -y

-y - 12 = -y + 6

Add 12 to both sides:

-y - 12 + 12 = -y + 6 + 12

Simplify:

-y = -y + 18

Add y to both side:

-y + y = -y + 18 + y

Simplify:

0 = 18

No Solution

Hope this helps

COEFFICIENT for 4x + 6

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You begin with $90 in your savings account and your friend begins
with $35 in her savings account. You deposit $10 in savings each
week, and your friend deposits $15 in savings each week.

Answers

Answer:

Your friend is wrong.

Step-by-step explanation:

Your total money: y= 10x+9

Friend's total money: y=15x+35

10x+9=15x+35 --> x=weeks=10

190=185

What is 875 times 305

Answers

Answer: 266,875

Step-by-step explanation:

Just multiply 875 and 305 together

Answer:

The answer is 266,875

Step-by-step explanation:

You can get the answer by using a calculator or working it out by hand.

During the first half of a college basketball game, 24,196 people entered the athletic center. During the second half, 2,914 people left and 4,819 people entered. How many people were in the athletic center at the end of the game?​

Answers

There were 26,101 people in the athletic center at the end of game.

Step-by-step explanation:

Number of people entered = 24196

Number of people left during second half = 2914

Remaining people = 24196 - 2914 = 21282

People entered during second half = 4819

Total people at the end of game = Remaining people + People entered during second half

Total people at the end of game = [tex]21282+4819=26101[/tex]

There were 26,101 people in the athletic center at the end of game.

Keywords: subtraction

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VIIVIS. JUIVC CUCI PIUUICHT giver le normation.
12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and JL = 8x + 35, find
x and the measure of each side.

Answers

Answer:

The value of  x = 6.

The measure of side J K = K L = J L = 83 units

Step-by-step explanation:

Here, Δ JKL is an Equilateral Triangle.

So, all sides of the triangle are equal to each other.

J K =  K L = L J

Substituting the values of each side , we get:

13 x + 5 = 17 x - 19  = 8 x + 35

Now, comparing first and second term of the above expression,we get:

13 x + 5 = 17 x - 19

⇒ 5 + 19 = 17 x- 13 x

or, 24 = 4 x

⇒ x = 24/4 = 6 , or x = 6

So, the measure of side J K = 13x   + 5 = 13(6) + 5  = 83 units

      the measure of side K L = 17x  -19 = 17(6) -19  = 83 units

       the measure of side J L = 8x  +35 = 8(6) +35   = 83 units

please solve with working much appreciated!

Answers

Answer:

Step-by-step explanation:

First you need to find the are between everything

So SA= 1/2 length time width.

I am also pretty sure then you find the circumference and diameter of a circle.

The answer is 153 degrees

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