M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard

deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that

their mean weight is at least 0.8535 g each.

Answers

Answer 1

Answer:

0.89417

Step-by-step explanation:

Using the relation to obtain the Zscore :

Z = (x - mean) ÷ standard deviation / sqrt(n)

x = 0.8535

Mean = 0.8565

Standard deviation = 0.0518

Sample size, n = 465

P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)

P(x ≥ 0.8535) = - 0.003 / 0.0024021

P(x ≥ 0.8535) = - 1.249

P(Z ≥ - 1.249) = 0.89417


Related Questions

Can you help me step by step

Answers

Answer:

n = -7

Step-by-step explanation:

n - 7/4 = 35/12 + 5/3n

subtract n from both sides of the equation:

-7/4 = 35/12 + 2/3n

convert -7/4 to -21/12:

-21/12 = 35/12 + 2/3n

add 21/12 to both sides:

0 = 56/12 + 2/3n

convert 2/3n to 8/12n:

0 = 56/12 + 8/12n

subtract 56/12 from each side:

8/12n = -56/12

multiply both side by 12:

8n = -56

divide both sides by 8:

n = -7

The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."

When you factor those out, you have this remaining:

5x(x + 3) + 6(x + 3).

What is the final answer?

Group of answer choices

(x + 3)(30x)

(x + 3)(5x + 6)

(x + 3)(11x)

Prime

Answers

Answer:

(5x + 6) (x + 3)

hope it helps

solve for 'x' given that;

3 sin( 3x-20°) = 2 for 0° ≤ x ≤ 180°​

Answers

Answer:

x ≈ 20.6°

Step-by-step explanation:

3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →

x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°

x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°

b) Factorise 4(x + y) + (x + y)?
Terms & Conditions

Answers

Answer:

5(x+y)

Step-by-step explanation:

4×x+4×y+x+y

4x+4y+x+y

5x+5y

5(x+y)

PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.

Answers

Answer:

diameter of the wheel = 28.98 in (2 d.p.)

Step-by-step explanation:

Given information:

A unicycle wheel makes five rotationsThe unicycle travels 37.94 feet

Circumference of a circle = πd  (where d is the diameter)

One rotation of the wheel is equal to the circumference of the wheel.

Therefore, 5 rotations is equal to the sum of 5 circumferences.

To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:

[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]

As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:

[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]

Therefore, the diameter of the wheel is 28.98 in (2 d.p.).

compare these integers
-10_____ 1

A.<
B.=
C.>

Answers

Answer:

-10<1

which means that -10 is less than 1

Answer:

A

Step-by-step explanation:

-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers

2x + x + 24=180 ????

Answers

3x + 24 = 180

3x = 180 - 24

3x = 156x = 156/3

x=52

Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?

Answers

Answer:

Interest rate = 1.363% (Approx.)

Step-by-step explanation:

Given:

Amount invested P = $220,000

Amount after 10 year = $250,000

Number of year = 10 year

Find:

Interest rate

Computation:

A = P + I

Amount of interest = $250,000 - $220,000

⇒ Amount of interest = $30,000

Amount of interest = PRT

⇒ 30,000 = (220,000)(R)(10)

⇒ 30,000 = (2,200,000)(R)

⇒ R = 0.013636

Interest rate = 1.363% (Approx.)

Si elegimos un día de la semana al azar, ¿qué probabilidad hay de que sea fin de semana (ya sabemos que hay dos días…)?

Answers

Answer:

La probabilidad que hay de que sea fin de semana es [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

[tex]P(A)=\frac{numero de casos favorables}{numero de casos posibles}[/tex]

En este caso:

número de casos favorables: 2 (cantidad de días del fin de semana)número de casos posibles: 7 (cantidad de días totales en la semana)

Reemplazando:

P(A)= [tex]\frac{2}{7}[/tex]

La probabilidad que hay de que sea fin de semana es [tex]\frac{2}{7}[/tex]

Jackson bought a pair of jeans on sale for $25.00. The original cost of the jeans was $40.00. What percent represents the discount Jackson received when buying the jeans?

Answers

Answer:  

37.5% discount

Explained:

$40-$25=$15

$15/$40=.375

Find the perimeter of the figure at right(picture). Use 3.14 as an estimate for π ​

Answers

Answer:

54.88cm

Step-by-step explanation:

For shaded region perimeter, subtract the circle perimeter from the rectangle

perimeter

= (10*8) - (2 * 3.14 * 8/2)

= 80 -  25.12

= 54.88cm

what are the factors of 19 that have a sum of 20

Answers

Answer:

1 and 19

Step-by-step explanation:

Those factors are 1 and 19.  They add up to 20.

Answer:

1 and 20 as your factors to add up to 19.

Step-by-step explanation:

I hope this is right.

Help me pls))))

When you show a friend your idea for an art project, he says the idea is too superficial. What can you do to fix this?

A) Strengthen and lengthen your research process.

B)Abandon the idea all together.

C)Add another topic to your original topic.

D) Ignore your friend and create the artwork anyway

Answers

A. It just is trust.

What is the value of x in the
equation below?
5x +9= 74

Answers

The answer is 13 because 74-9= 65. 65/5 = 13

Find the slope from the ordered pairs, (19,3), (20,3)
0
1
2
3

Answers

Answer:

0

Step-by-step explanation:

It would just be straight up and down meaning it is 0.

y2-y1/x2-x1

(19,3) and (20,3)
x1, y1 x2, y2

3-3/20-19=0/1

0/1=0 slope so that's ur answer

Anne has worn a black shirt on 6 of the last 20 days. Considering this
data, how many times would you expect Anne to wear a black shirt in the
next 10 days?

Answers

Answer:

3

Step-by-step explanation:

Considering she wore a black shirt 6 times in 20 days will give you the statistic of 3/10. If the question is about the next 10 days then she will wear 3 black shirts. (It's also 1/2 of the original question.)

The diameter of a circle is 18 cm. Find its area in terms of pi

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Bryan calculated the area of a square to be 18/32 square foot. Which shows the side length of the square? (Hint: Simplify. Also, area of a square is side x side.)

Answers

Answer:

x = 0.75 feet

Step-by-step explanation:

The area of a square is 18/32 square foot

We need to find the side length of the square.

The area of a square of side x is given by :

[tex]A=x^2[/tex]

Substitute all the values,

[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]

So, the side length of the square is equal to 0.75 feet.

Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to

Answers

Answer:

14 units

Step-by-step explanation:

Area is l*w and since the length is known, solve for width

182/13=13w/13

w=14

Answer:

14 units

Step-by-step explanation:

Given, the area of rectangle = 182 square units

length = 13 units

width = ?

By using the formula to find the area of a rectangle, we have

area of rectangle = length * width

182 = 13 * width

182/13 = width

14 units = width

Which expression could be used to evaluate the expression below?

Answers

Answer:

Step-by-step explanation:

Is there supposed to be a picture



Tracy put $80 into an investment account where she earns 4% interest per year. What was the amount of interest Tracy earned after three years

Answers

Depends whether it’s compound or simple interest

What is the distance between point A and point B?

Answers

Answer:

point B 3 up and down 1

Step-by-step explanation:

Use picture

Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7

Answers

The second one will be the answer
X= -2 and -7

Which equation best represents the relationship between x and y in the table below?

Answers

The answer should be C.

Answer:

y = x² + 5

Step-by-step explanation:

When x = 1:

y = x² + 5

y = 1² + 5

y = 6

When x = 2:

y = x² + 5

y = 2² + 5

y = 9

When x = 3:

y = x² + 5

y = 3² + 5

y = 14

Solve the following system of equations using the substitution method.
y = -2
4x - 3y = 18
A) (-3,2)
B) (3,-6)
C) (3,6)
D) (3,-2)

Answers

D) (3,-2) is the answer

What is a simpler form of (3x-4)(x+2)?

Answers

Answer: 3x^2+2x-8

Step-by-step explanation:

Answer:

3xto the power of 2+2x -8

How many times greater is the value of the 3 in 3,499 than in 6,399

Answers

Answer:

967 times

Step-by-step explanation:

3 / 3499 is 1166.33333

3 / 6399 is 2133

Manuel has scored 27,29 and 28 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 28 points per game?

Answers

Answer:

28.71 points

Step-by-step explanation:

(27.29 + 28 + x) / 3 = 28

(27.29 + 28 + x) = 84

28 + x = 56.71

x = 28.71

The number of points he needs to score in his next game so that his average (mean) is 28 points per game will be 28.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

As per the given,

Manuel has scored 27,29 and 28 points in his three basketball games so far.

Suppose his score in the fourth game is x.

Mean = (27 + 29 + 28 + x)/4 = 28

(84 + x)/4 = 28

84 + x = 112

x = 28

Hence "The number of points he needs to score in his next game so that his average (mean) is 28 points per game will be 28".

For more about the mean,

https://brainly.com/question/17060266

#SPJ5

help plz asap i reward brainliest
im being timed!!!!

Answers

It should be 4 I think
I looked it up on desmos, I am positive that this is the correct answer

What are the coordinates of point C?
A (0,0)
B (4,0)
C (0,3)
D ( 0,4)

Answers

Answer:

.

Step-by-step explanation:

Answer:

The correct answer is D. (0,4)

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