The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 52 M&M's.
A) State the random variable.
B) Argue that this is a binomial experiment.
Find the probability that:
C) 6 M&M's are brown.
D) 25 M&M's are brown.
E) All of the M&M's are brown.
F) Would it be unusual for a package to have only brown M&M's? If this were to happen, what would you think is the reason?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the scenario above :

A) State the random variable.

The random variable is the p opoertion of brown M&M's in a milk chocolate packet.

B.) Argue that this is a binomial experiment.

Each trial is independent for a total number of 52 trials with a set probability of success at 0.14

C) probability that 6 M&M's are brown:.

P(x) = nCx * p^x * (1-p)^(n-x)

p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6

P(x = 6) = 52C6 × 0.14^6 × 0.86^46

= 20358520 × 0.00000752954 × 0.00097035078

= 0.1487

D) P(x =25)

P(x = 25) = 52C25 × 0.14^25 × 0.86^27

= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245

= 0.00000000366

E) P(x = 52)

P(x = 52) = 52C52 × 0.14^52 × 0.86^0

= 1 × 3968.78758299*10^(-48) × 1

= 3968.78758299*10^(-48)

F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur


Related Questions

Find the dimensions of a rectangle whose width is 8 miles less than its length and whose area is 105 square miles

Answers

Area of a rectangle = w*l

w = width

l = length

In our problem,

Area = 105mi^2

l = x

w = x - 8

Let's plug our values into the formula above.

105mi^2 = x(x - 8)

Distribute the x

105mi^2 = x^2 - 8x

Subtract 105mi^2 from both sides.

0 = x^2 - 8x - 105

Let's factor the right side.

0 = (x - 15)(x + 7)

Set both terms equal to 0

x - 15 = 0

Add 15 to both sides.

x = 15

x + 7 = 0

Subtract 7 from both sides.

x = -7

Since the length cant be a negative number, 15 is the correct answer.

Length = x = 15 mi

Width = x - 8 = 15 - 8 = 7 mi

The length of the rectangle is 15 miles while the width is 7 miles.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of rectangle = 2( length + width).

Suppose the length is L while the width is W.

Area of rectangle = length × width.

L x W = 105

W = L - 8

By substitution,

L x (L - 8) = 105

L² - 8L - 105 = 0

L² - 15L + 7L - 105 = 0

L(L - 15) + 7(L - 15) = 0

(L + 7)(L - 15) = 0

L = -7, L = 15

Since length will not be negative thus L = 15 miles.

W = 15 - 8 = 7 miles

Hence "The length of the rectangle is 15 miles while the width is 7 miles."

For more about rectangles,

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How do we Round with any numbers, (on a number line) ?

Answers

Answer:

round it to the nearest 10th?

Step-by-step explanation:

that's what I do at least.

Answer: Round up or down.

Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.

kx-fy=cx+p for x ????????????

Answers

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=[tex]\frac{p + fy}{K - c}[/tex]


Jessica walks 7 times as far to school as Taylor does . Jessica walks 5 miles. How many miles does Taylor walk?

Answers

Answer:

Step-by-step explanation:

Jessica: 5 miles

Taylor: 5/7 = .7143 miles

There are 12 red pens, 20 blue pens and 5 black pens in a bag. What is the probability that you will pick a black pen? Round

Answers

Answer:

The probability of getting a black pen from the bag is 13.5%.

Step-by-step explanation:

To determine the percentage probability that a black pen will be obtained from the bag, the following calculation must be performed:

12 + 20 + 5 = 37

37 = 100%

5 = X

(5 x 100) / 37 = X

500/37 = X

13.5 = X

Thus, it is determined that the totality of pens is 100%, and through a cross multiplication the percentage of the 5 black pens with respect to the total of pens is obtained.

Therefore, the probability of getting a black pen from the bag is 13.5%.

6/31. There are 6 black pens left and the red pen was removed, so the original sample size of 32 is reduced to 31.

the sum of 12 and the quantity 8 times a number k is equal to 48

Answers

Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

Which angles could you add to 1 to make a supplementary angle. Please helppp

Answers

90°+90°
60°+120°
50°+130°
There are many more, supplementary angle = 180° so it can work for many more. Hope this helps :)

solve for x 7x½+2=0​

Answers

Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer: 7/2x + 2

Step-by-step explanation:

Study the dot patterns in parts (a) and (b) below. Assume that each pattern continues to increase by the same number of dots and in the same locations for each figure.
For each pattern, sketch the 4th and 5th figures. Then predict how many dots will be in the 100th figure.

Answers

Answer:

east-56 a=+b 2squared

Step-by-step explanation:

Write the expression as a square of a monomial. 4/9b^6

Answers

Answer:

Step-by-step explanation:

It just so happens that all the numbers and variables in that expression are perfect squares. 4 has a square root of 2; 9 has a square root of 3; and b^6 has a square root of b^3. Putting that altogether into one simplified expression that we can square is:

[tex](\frac{2}{3}b^3)^2[/tex]

The expression as a square of a monomial (4/9b⁶) is  (2²/3²b³)²

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

A monomial is a polynomial that has only one term.

Given, a monomial (4/9b⁶).

To write this monomial in terms of as a square of a monomial we'll factor out the power of 2 from each f the constants and variables contained in the monomial which is,

= (2²/3²b³)²

learn more about polynomials here :

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Ms. D bought 18 bagels for $1.35 each and 2 containers of cream cheese for $3.45 each. Write and evaluate ONE expression to find the total cost of the food.

Answers

Answer:

(18+2)x($1.35+$3.45)= $96

Could I please have BRAINLIEST.

The opposite of -4 is

A) 4
B) -4
C) -(-(-4))
D) -|4|

Answers

Answer:

the answer is A

Step-by-step explanation:

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of the longest side is unknown. What is the smallest possible whole-number length of the unknown side?

Answers

Answer:

17 inches.

Step-by-step explanation:

Answer:

answer is 17 inches

Step-by-step explanation:

William and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace for 2 hours, how many miles will they jog?

Answers

Answer:

12 miles

Step-by-step explanation:

60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12

Help please, will mark you as brainliest!!
Need help on both..

Answers

Answer:

the answer is c for the second one and the first one is A

PLEASEEE HELP

1. Andrea ran and biked for a total of 32 mi in 4 hours. Her average running speed was 5 mph and her average biking speed was 13 mph.
Let x = total hours Andrea ran.
Let y = total hours Andrea biked.
Use substitution to solve for x and y. Show your work. Check your solution.
(a) How many hours did Andrea run?
(b) How many hours did she bike?

Answers

Answer:

Ran: 2.5hr

Biked: 1.5hr

Step-by-step explanation:

x = total hrs ran

y = total hrs biked

4 = total hours ran + biked

soo.....

x + y = 4hr

then you can convert that for solving y or x

Ex. x = 4-y or y = 4-x

Then just plug in either x or y

EQUATION: 5x + 13y = 32

Dont plug in both x or y at the same time. Pick one and solve

At 6 am, the temperature was 73 degrees Fahrenheit. By noon, then temperature had rose 8 degrees. At 4 pm, the temperature was 5 degrees warmer than it was at noon. By 9 pm, the temperature had dropped 16 degrees. What was the temperature at 9 pm?

Answers

Answer:

70 degrees Fahrenheit

Answer:

70

Step-by-step explanation:

We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.

Katie deposited $1,000 in the bank for 6 years. She earned a simple interest rate of 1.5%. How much interest did she earn?

Answers

Answer:

Idl but I believe its 2340

Step-by-step explanation:

but I could be wrong

A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
A. -28.47° latitude and 7.35° longitude
B. -28.47° latitude and -7.35° longitude
C. 28.47° latitude and -7.35° longitude
D. 38.34° latitude and 220.95° longitude
E. -38.34° latitude and 220.95° longitude

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Because you add both latitude (22.27+ -6.20) = -28.47 because a negative plus a positive equals a a negative then you add the longitude (114.15 -106.80) = 7.35 so the answer would be

-28.47 latitude and 7.35 longitude.

the answer would be C.)28.47 lat -7.35 long

solve for p in the literal equation 8p+5r=q

Answers

Subtract by 5r and divide by 8 to isolate p, p=(q-5r)/8

100 POINTS!! ASAP - Pls Show all WORK

Answers

Answer:

x ≈ 28.7 ft

Step-by-step explanation:

Step 1: Define variables

Height (vertical leg of triangle) = 2 ft

∅ = 4°

We are trying to find the length of the hypotenuse x

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin4° = 2/x

Step 3: Solve for x

xsin4° = 2

x = 2/sin4°

x = 28.6712

x ≈ 28.7 ft

Answer:

the Length of ramp is 28.7 feet.

Step-by-step explanation:

see attached image for clarity

give:

height (h) of clinic = 2 feet

angle of ramp = 4°

find:

Length (L) of ramp

using the formula : sin(Ф) =                height (h)                    

                                              Length of ramp (hypothenuse)

plugin values into the formula:

sin (4) =    2    

               L

L   =    2    

      sin(4)

L = 28.7 feet

therefore,

the Length of ramp is 28.7 feet.

Find the derivative of the function.
g(x)=∫5x4xu2−1u2+1 du.

Answers

Answer:

[tex]g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}[/tex]

Step-by-step explanation:

Given that:

[tex]g(x) = \int^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ \ du[/tex]

Then: the derivative of the function is as follows:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2+1} \ \ \dfrac{d}{dx}(5x) -\dfrac{(4x)^2-1}{(4x)^2+1} \ \ \dfrac{d}{dx}(4x)[/tex]

[tex]g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}[/tex]

60 point question!...........

Answers

Answer:

dhsfhb

Step-by-step explanation:

top secret

Answer:

Have a good day, dont see a picture?

Step-by-step explanation:

Plz help asap In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Answers

Answer:

Harry is 2, Jim is 6

Step-by-step explanation:

The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.

Sorry if this was confusing.

help!
what is the answer to this problem?​

Answers

Answer:

D

Step-by-step explanation:

Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .

A 250-gal tank is initially filled with brine (salt-water mixture) containing 100 lb of salt. Brine containing 3 lb of salt per gallon enters the tank at the rate of 7 gal/s, and the well-mixed brine in the tank flows out at the rate of 9 gal/s. Find the amount x(t) of salt in the tank after 1 minute.

Answers

Answer:

x(t) = 581.66 lb

Step-by-step explanation:

From the given information:

Consider the salt quantity in the tank at time t be x(t) lb.

∴ the rate of change of salt content in the tank is [tex]\dfrac{dx}{dt}= Rate \ of \ \ inflow - rate \ of \ \ outflow[/tex]

where:

the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons

=21 lb/s

rate of outflow = salt conc. in the tank  × flow rate

= x/250 ×  9

= 9x/250  lb/s

[tex]\dfrac{dx}{dt} = 21 - \dfrac{9x}{250}[/tex]

[tex]\dfrac{dx}{dt} + \dfrac{9x}{250}= 21[/tex]

This is a 1st order linear differentiation,

The integrating factor if [tex]e^{^{ \int \dfrac{9}{250}\ dt}} = e^{^{ \dfrac{9t}{250} }}[/tex]

[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C[/tex]

[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = 21 \times \dfrac{250}{9}e^{\dfrac{9t}{250}} + C[/tex]

[tex]x(t) = \dfrac{1750}{3}+Ce^{^{\dfrac{-9t}{250}}}[/tex]     at  t = (0) and x(0) = 100 lb

Hence;

[tex]100 = \dfrac{1750}{3}+C[/tex]

[tex]C = \dfrac{1750}{3} -100[/tex]

[tex]C = - \dfrac{1450}{3}[/tex]

∴[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9t}{250}}}[/tex]

after time t = 1 minute i.e 60 s

[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9 \times 60}{250}}}[/tex]

[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-540}{250}}}[/tex]

x(t) = 581.66 lb

4|m−n| if m=−7 and n=2 i really need to know what this is asap please

Answers

Answer:

36

Step-by-step explanation:

Plug in -7 as m and 2 as n into the expression:

4 | m - n |

4 | -7 -2 |

Solve:

4 | -9 |

4(9)

= 36

give me the answer now​

Answers

Answer:

what is the Question

Step-by-step explanation:

Solve the inequality and graph the solution set for 2(3r − 10) ≤ 3r − 5

Answers

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office

Answers

Answer:

The area of Chen's office (if that's what you're looking for) is 120.9 feet

Step-by-step explanation:

All I did was a = lw, the formula for finding the area of something using length and width

a = lw

a = 15.5 × 7.8

a = 120.9

Hope this helped.

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