Isaac's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contains a prize. Suppose that Isaac is going to buy 6 boxes of this cereal, and let X represent the number of prizes he wins in these boxes. Assume that these boxes represent a random sample, and assume that prizes are independent between boxes. What is the probability that he wins exactly 2 prizes in the 6 boxes?

Answers

Answer 1

Answer: 0.3 on khan academy

Step-by-step explanation: ‍♂️

Answer 2

The probability that he wins exactly 2 prizes in the 6 boxes is to be considered as the 0.30.

Calculation of the probability:

Since Isaac's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contains a prize this mean

So,

P(box containing prize) = 1/4 = p  =0.25

So,

q=1 - p

= 0.75

And total box (n)=6

Let us assume x be number of prize win.

So,

Probability that he will win exactly two prize is

P(X=2)=  [tex]\binom {6}{2}(0.25)^2(0.75)^4[/tex]

= 0.2966

=0.30(approx)

hence, The probability that he wins exactly 2 prizes in the 6 boxes is to be considered as the 0.30.

Learn more about probability here: https://brainly.com/question/24760080


Related Questions

Using the properties of real numbers ,prove that a<b and c<d= a+c<b+d​

Answers

9514 1404 393

Explanation:

  a < b . . . . . given

  0 < b -a . . . . . addition property of inequality

  c < d . . . . . given

  0 < d - c . . . . . addition property of inequality

  0 < (b -a) +(d -c) . . . . addition is closed for positive real numbers

  a +c < b +d . . . . . addition property of inequality

Answer:

hello hope this pic helps

Only number 12 plz I’ll give brainliest(ASAP)

Answers

Answer:

120 m/h

120 m/(3600 seconds)

(1/3)m/s

15 * (1/3) = 5

He travels 5 miles in 15 seconds

Step-by-step explanation:

Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips, if each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can make?

Answers

Answer: 11 batches of muffins

Step-by-step explanation:

From the question, we are given the information that Jim is baking chocolate chip muffins and that he has a total of 7 1/3 cups of chocolate chips, and each batch of muffins uses 2/3 of a cup of chocolate chips.

The most number of batches of muffins that Jim can make will be gotten by dividing 7 1/3 by 2/3. This will be:

= 7 1/3 ÷ 2/3

= 22/3 ÷ 2/3

= 22/3 × 3/2

= 11

Jim can make 11 batches of muffins.

The gas tank in sampson car has a capacity of 19.1 gallons . on a Tripp to see his cousin , Sampson begins with 12.8 gallons if gas in the tank he stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When sampson arrives at his cousins house he has 3.7 gallons of gas left. How much gas , did sampson use on his trip

Answers

Answer:

23.5 gallons

Step-by-step explanation:

The gas tank in Daniel's car has a capacity of 19.1 gallons.  

On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.  

He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.  

When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.  

Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.

The amount of gas remaining after the trip was 3.7 gallons

The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons

Answer:

fat nuts

Step-by-step explanation:

i forgor

what is the measure of ABC?

Answers

Answer:

ABC = 55°

Step-by-step explanation:

Angle A plus Angle C equals Angles B.

Add them together then subtract from 180°.

It is estimated that 18 out of every 25 shoppers between the age of 18 and 34 research purchases online before going to a store. What is this value written as a decimal?

Answers

Answer: 0.72

Step-by-step explanation:

Given:  18 out of every 25 shoppers between the age of 18 and 34 research purchases online before going to a store.

Fraction of shoppers between the age of 18 and 34 research purchases online before going to a store [tex]=\dfrac{18}{25}[/tex]

In decimal , [tex]\dfrac{18}{25}=\dfrac{18}{25}\times\dfrac{4}{4}=\dfrac{72}{100}=0.72[/tex]

Hence, this value written as a decimal = 0.72

You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2 gallons of gasoline. Another car is red. It can travel 25 3/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of​ gasoline?

Answers

Question:

You are running a fuel economy study. One of the cars you find is blue. It can travel [tex]44\frac{1}{2}[/tex] miles on [tex]1\frac{1}{4}[/tex] gallons of gasoline.

Another car is red. It can travel [tex]25\frac{3}{5}[/tex] on [tex]\frac{4}{5}[/tex] gallon of gasoline.

What is the unit rate for miles per gallon for each​ car?

Which car could travel the greater distance on 1 gallon of​ gasoline?

Answer:

(a)

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]

[tex]Rate = 32\ miles\ per\ gallon[/tex]

(b)

The blue car will travel faster

Step-by-step explanation:

Given

Blue Car:

[tex]Distance = 44\frac{1}{2}\ miles[/tex]

[tex]Gasoline = 1\frac{1}{4}\ gallons[/tex]

Red Car

[tex]Distance = 25\frac{3}{5}\ miles[/tex]

[tex]Gasoline = \frac{4}{5}\ gallons[/tex]

Solving (a):

This is solved by dividing the distance travelled by the amount of gasoline.

i.e.

[tex]Rate = Distance/Gasoline[/tex]

Blue Car:

[tex]Rate = 44\frac{1}{2} / 1\frac{1}{4}[/tex]

[tex]Rate = \frac{89}{2} / \frac{5}{4}[/tex]

[tex]Rate = \frac{89}{2} * \frac{4}{5}[/tex]

[tex]Rate = \frac{89}{1} * \frac{2}{5}[/tex]

[tex]Rate = \frac{89 * 2}{1 * 5}[/tex]

[tex]Rate = \frac{178}{5}[/tex]

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]

Red Car:

[tex]Rate = 25\frac{3}{5}/\frac{4}{5}[/tex]

[tex]Rate = \frac{128}{5}/\frac{4}{5}[/tex]

[tex]Rate = \frac{128}{5} * \frac{5}{4}[/tex]

[tex]Rate = \frac{128 * 5}{5 * 4}[/tex]

[tex]Rate = \frac{128}{4}[/tex]

[tex]Rate = 32\ miles\ per\ gallon[/tex]

(b)

In (a), we have:

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex] --- Blue Car

[tex]Rate = 32\ miles\ per\ gallon[/tex] --- Red Car

By comparison:

The rate of the blue car is greater than that of the red

Hence, the blue car will travel faster


PLEASE HELP ASAP
Which criteria can be used to prove triangles are congruent? Select all that apply.
A.) ASA
B.) AAS
C.) SAS
D.) SSA
E.) HL

Answers

Answer:

A, B, C, and E

Step-by-step explanation:

SSA doesn't work because this leaves room for two possible answers in some situations.

The other postulate, HL (hypotenuse-leg) works for right triangles; it's basically a short cut for SSS postulate because if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg on another, the other side also has to be congruent.

The criteria can be used to prove triangles are congruent: ASA, AAS, SAS and HL.

What is Congruence in Triangles?

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Two triangles are said to be congruent if they are of the same size and same shape.

Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent.

Based on studies and experiments, there are 5 conditions for two triangles to be congruent.

They are SSS, SAS, ASA, AAS, and RHS congruence properties.

The postulate, known as HL (hypotenuse-leg), is applicable to right triangles.

As if a right triangle's hypotenuse and leg are congruent with those of another, then the other side must likewise be congruent.

Learn more about congruence of triangles here:

https://brainly.com/question/20521780

#SPJ5

68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal

Answers

Answer:

[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]

Step-by-step explanation:

[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]

A sporting goods store has 4 catchers mitts, 28 baseball gloves , 52 bats and 96 baseball in stock. What is the ratio of baseballs to baseball gloves

Answers

96:28

96 baseballs to 28 baseball gloves

HELP! WILL MARK BRAINLIEST, PAST DUE!!!

Answers

Answer:

1/2 and - 1/2

Step-by-step explanation:

umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do

A)   L (-8,8) and (0,4)M

m= 4-8/0-8

=-4/-8

=  1/2

B ) now for b its asking for the certain points of

n and p

(4,2) N and (8,0) P

m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope

these should be right.

(3x - 2)
(10x - 11)
(3x + 1)
Solve for the value of x.

Answers

Answer:

1. 2/3

2. 11/10

3. 1/3

hope it helps

This table represents a linear function. Find the missing values to complete the table.

Answers

Answer:

(2,5) and (7,12.5)

Step-by-step explanation:

Solve for change in y over change in x using the points (3,13/2) and (6,11). You can then get the equation y=1.5x+2. Then plug in the values you are given from the missing points using the equation. Hope this helped! If it did, please mark the brainliest.

Factorise:x^2 + 7x + 10 =0

Answers

Answer:

x = − 5, − 2

Step-by-step explanation:

x² + 7x + 10 = 0

x² + 5x + 2x + 10 = 0

x(x + 5) + 2 (x + 5) = 0

(x + 5)(x + 2) = 0

x = 5, 2

-TheUnknownScientist

What is the slope of the line graphed
Explain answer
GIVING BRAINIEST

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].

Use the Distributive Property to expand the expression you obtained in part B.

The expression is 2(100 − x).

Answers

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

The product of 3 x is less than 9

Answers

3x-9 would equal 3(x-3) because you factor the 3 out of the 9.

Simplify the following expression.

5.3x − 8.14 + 3.6x + 9.8

A.
8.9x + 17.94
B.
8.9x + 1.66
C.
-2.84x + 17.94
D.
-2.84x − 1.66

Answers

Answer:

the answer is B

Step-by-step explanation:

Choose scales for the coordinate plane shown so that you can graph the points J(10, 5), K(20, 4), L(5, −5), M(−15, 2), and N(−15, −4). PLEASE QUICK I HAVE 15 mins

Answers

Answer:

x axis use 5 and y axis use 1

Step-by-step explanation:

5 on the x axis would make it big enough to fit up to 30 on both positive and negative sides. 1 on the y axis would fit 6 on both sides. this makes it big enough to fit all the coordinates

HELLPPPPP
Write the equation y=-3/4x+2 in standard form.

Answers

the standard form is 3x+4y=8

PLS HELP I GET EXTRA CREDIT AND EXPLAIN IN FULL DETAIL!!!!!


You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve an inequality that represents the numbers of peppers you can buy.

Answers

the inequality would be 18>1.5x

this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers

The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and the number of cars produced. A 2-column table with 5 rows. Column 1 is labeled x with Hours, x with entries 3, 5, 7, 9, 11. Column 2 is labeled Cars, y with entries 75, 125, 175, 225, 275. What is the domain of the function represented by the table? all real numbers x greater-than-or-equal-to 0 {3, 5, 7, 9, 11} {75, 125, 175, 225, 275}

Answers

Answer:its 3,5,7,9,11

Step-by-step explanation:i m pretty sure it's this one because I got it from briainly

Answer:

b

Step-by-step explanation:

i took the test and this was right

5star answer don't u think????

Write an expression
You charge $10.50 per hour to babysit and you spent $15 on
candy.

Answers

Answer:

10.50x + 15 = y

Step-by-step explanation:

x = amount of hours spent babysitting.

y = total amount of money.

please help! due soon :(

Answers

Answer:

60 degrees. Aaaaaaaaaa

Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10

Answers

Answer:

7

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

7 notebooks

Step-by-step explanation:

The total for the nine will be 9.73 I’d you get 8 notebooks it will be 11.12 with us too much.

I WILL MARK AS BRAINLIEST!!!!

Answers

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

10 less than 40% of a number is -4

Answers

Answer:

35

Step-by-step explanation:

4+10 = 14,

14 divided by 40% (0.4) = 35

I need help pls !!!!

Answers

Answer:

angle 3 im prob wrong

Step-by-step explanation:

please help me please

Answers

Answer:

42

Step-by-step explanation:

4x + 2 = 1/2 (4x + 44)                Be careful how you do this. I have multiplied both sides by 2

2(4x + 2) = 4x + 44                    Remove the brackets (distributive)

8x + 4 = 4x + 44                        Subtract 4x from both sides

8x-4x + 4 = 44                          

4x + 4 = 44                                Subtract 4 from both sides

4x + 4-4 = 44-4

4x = 40                                       Divide by 4

4x/4 = 40/4

x = 10

The mid line is 4x + 2

The mid line is 4*10 + 2

The mid line is 40 + 2

The mid line is 42

The base is 4x + 44

The base is 4*10 + 44

The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.

HELP MEEEEEEEE PMEASE
In order!!!

Answers

Step-by-step explanation:

The value of all the angles in a triangle add up to 180.

So to find x do 180-(66+52)

The angle opposite of x is the same value as x

X+E or X+Z are both equal to 180.

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