A child who is trick-or-treating chooses a lollipop at random from a bowl of lollipops with mean weight 1.5 oz and standard deviation 0.3 oz. The child then chooses two chocolate bars at random from a bowl of bars with mean weight 2.0 oz and standard deviation 0.4 oz. The three choices are independent. Find the expected combined weight of the child's lollipop and two chocolate bars.

Answers

Answer 1

Answer:

The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Addition of normal variables:

The mean is the sum of the means.

Find the expected combined weight of the child's lollipop and two chocolate bars.

Child lollipop: Mean 1.5 oz

Chocolate bars: Mean 2 oz

One lollipop and 2 bars combined

The mean will be 1.5 + 2*2 = 5.5 oz

The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.


Related Questions

Given that 9x – 8y = 16
Find x when y = -8
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

x=-16/3

Step-by-step explanation:

9x-8(-8)=16

9x+64=16

9x=-48

x=-48/9

x=-16/3

Find four consecutive Integers such that the product of the first and the fourth is 22
less than the product of - 10 and the third integer.

Answers


This is the answer I hope that can help you si soy tu

It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units

Answers

Answer:

7.7466

Step-by-step explanation:

Hope it helps:)

When the swimmers first arrived at the pool, the temperature of the water was only 72.5 degrees. By the time the first race started, the temperature had gone up 5.6 degrees. What was the temperature of the water when the first race started?

Answers

Answer:

The temperature of the water when the first race started was 78.1 degrees

Step-by-step explanation:

Addition

The temperature of the water of a pool was 72.5 degrees when the swimmers first arrived.

By the time when the first race started, the temperature had increased by 5.6 degrees.

To find the temperature at that very moment we have to add 72.5 degrees + 5.6 degrees = 78.1 degrees

The temperature of the water when the first race started was 78.1 degrees

Is 23, 11, 25, 19 a composite number?

Answers

Answer:

23 is a prime number. 11 is a prime number. 25 is a composite number. and 19 is a prime number.

Step-by-step explanation:

Hi there!

23 is a prime number because it has only two factors - 1 and itself.

Remember, a factor is a number that a number can be evenly divided by. So 3 is not a factor of 23.

11 is prime as well.

25 is a composite number because it's last digit is 5. If a number's last digit is 5, then it's divisible by 5. Therefore, it's composite.

19 is a prime number.

Hope you find this helpful!

#CarryOnLearning

[tex]JoyfulTeen\\HappyGal\\SomeoneWhoWillHelpYou\\FelicitousLass\\\\-SilentNature[/tex]

a) 25 + 97 - 72
46 -19 + 55
185 - 82 + 39

Answers

Answer:

254

Step-by-step explanation:

Add everytin step by step.

25+97=122- 72 = 50. 46-19=27+55=82. 185-82=103+39=142

the line for the equation y = 1 horizontal or vertical? What is the slope of this line?

Answers

Answer:

The line is horizontal and the slope is 0.

Step-by-step explanation:

Any line that is horizontal has a slope of 0.

46)
The lengths of two sides of a triangle are 14 cm and 11 cm. Which is a possible value for the third side of the triangle?
A)
1 cm
B)
3 cm
16 cm
D)
25 cm

Answers

Answer:

i depends of degre of triangle it can be three 14-11

it can also be 16

five hundred and fifty four thousandths in number form


i need for homework

Answers

Answer:

54.0054

Step-by-step explanation:

hope it helps you

please mark me as brainlist


Adam can eat
3/8 of a pizza in 1/16 of a minute. Compute the unit rate by setting up a complex fraction and simplifying

Answers

Answer:

Step-by-step explanation:

Mansah obtained 50 marks out of 240 in an English test. What was her percentage score​

Answers

Answer:

50/240*100=20.83%

Hope it helps

Answer:

20.8%

Step-by-step explanation:

50/240*100% =20.8%

If the slope of a proportional relationship is 3 what is the equation that represents that line

Answers

Answer:

y = 3x

Step-by-step explanation:

A proportional function has the equation

y = kx, where k is the constant of proportionality and also the slope of the line.

Answer: y = 3x

The equation that represents the line whose slope of proportional relationship is 3 is; y = 3x.

The slope of the proportional relationship as given is 3.

In essence, slope, m = 3.

However, the equation of the line which represents a proportional relationship usually takes the form; y = Mx.

Since, slope, m = 3.

The equation of the line is; y = 3x.

Read more on equation of a line:

https://brainly.com/question/15618632

factorise fully 18e^2f^3-12e^2f

Answers

Answer:

[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]

Step-by-step explanation:

Given

[tex]18e^2f^3-12e^2f[/tex]

Required

Factorize:

[tex]18e^2f^3-12e^2f[/tex]

Express 18 as 6 * 3 and 12 as 6 * 2

[tex]18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f[/tex]

Factor out 6

[tex]18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)[/tex]

Factor out [tex]e^2[/tex]

[tex]18e^2f^3-12e^2f = 6e^2(3f^3-2f)[/tex]

Factor out f

[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]

Which number(s) from the set (0 to 10) if any, will solve this equation.

2x + 3 = 3 (x + 1) - x

Help me!


Question from USAtestprep

Answers

You solve this through error and trial.

The is to get two matching numbers at both sides.

X 2x + 3 = 3 (x + 1) - x Answer

0 2(0) + 3 = 3 (0 + 1) - 0 3 = 3

1 2(1) + 3 = 3 (1 + 1) - 1 5 = 5

You do this all the way to ten. So far, we know x = 0 and x = 1 is correct

can someone help with this!!! Im a little stuck!

Answers

what kind of math is this X_X

eight toy makers each carved 25 blocks and 15 cars how many toys did they crave in all

Answers

Answer:

320

Step-by-step explanation:

25 + 15 = 40 toys each

Toy makers x number of toys each = total toys carved

8 x 40 = 320 totals carved in all

Answer:

25

Step-by-step explanation:5x5=25

what is the greatest common factor of 54 and 95?​

Answers

Answer:

It's 1. They don't have any shared factors.

Step-by-step explanation:

Answer:

The Greates Common Factor (GCF) is:   1

Will give brainletst and points!!!!!!!

The rectangle shown below has a length of six feel

The value of the area rectangle, in square feet, is an irrational number. The number that represents the width of the rectangle must be _____!

A- whole number
B- a rational number
C- an irrational number
D- non real complex number

Answers

Answer:

C.

Step-by-step explanation:

Answer:

(C)

Step-by-step explanation:

Irrational number....I hope it helps

2. Susan and Joe want to be at the airport terminal at 1430
It will take 1 hour and 20 minutes to drive from home to the airport.
It will then take a total of 30 minutes to park the car and go into the airport terminal.
What is the latest time they can leave home?* m
(3 Points)
Calculator

Answers

Answer:

12:40 pm

Step-by-step explanation:

1hr 20min + 30 min = 1 hr 50 min

14:30 = 2:30

2:30 - 1 hr 50 min

= 12:40

68x2 – 60y - 9x2 + y2​

Answers

2(59-29y) or 118-58y

#6: Tell whether the function below is 1 point
linear or exponential.
*
f(x) = -1/4x + 5

Answers

Answer:

Linear function

Step-by-step explanation:

Given

[tex]f(x) = -\frac{1}{4}x + 5[/tex]

Required

Linear or Exponential

A linear equation has the form: [tex]f(x) = mx + c[/tex];

An exponential has the form: [tex]f(x) = ab^x[/tex]

By comparing both functions to: [tex]f(x) = -\frac{1}{4}x + 5[/tex]

The linear function is similar to [tex]f(x) = -\frac{1}{4}x + 5[/tex]

Hence, the given function is a linear function.

HELP ME PLEASE I LOVE U

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Mr. Chase , because the answer is 324

Three times as many adults as students attended a game. The total attendance was 480. If 3x + x = 480 models this situation, which two statements are true?

A) 3x = number of students
B) X = number of adults
C) 480 - x = number of adults
D) 360 adults attended.
E) 200 children attended.​

Answers

Answer:

The answer is C and D

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

The number of adults is based on the number of students. Therefore, x = students, and 3x = adults.

480 − x = 3x → 4x = 480 → x = 120 students → 3x = 360 adults

4(x – 3)
need help answering this question

Answers

Answer:

4x-12

Step-by-step explanation:

4 x x is 4x and 4x-3 is -12

En el pequeño frasco se colocaron 7 galletas para regalar si ornearon 56 ¿cuantos frascos. regalaron?​

Answers

Answer:

1 frasco

Step-by-step explanation:

En el pequeño frasco se colocaron 7 galletas para regalar si ornearon 56 ¿cuantos frascos. regalaron?

1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?

2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?

3. In 1810, the U.S. land size was 1.68 square miles (in millions). In 1850, it was up to 2.94 square miles (in millions). What was the percent increase?

Answers

Answer:

39,055

Step-by-step explanation:

so you say 6 over 100 multiplied by $36,500 over 1. then 100 into 36,500 then you get 365. then you say 6 multiplied by 365 and you get 2,555. then you say 2,555 plus 36,500 then you get 39,055

have some more work on hand

Answers

It’s D
—————-
3/3= 1
8/8= 1

it is d 3/3 is 1 and 8/8 is 1 as well

HELP ME PLEASE!!! How can you rewrite 5x - 3x to an addition expression? And what is the expression 5x - 3x in standard form?

Answers

3x=3x3x3 5x=5x5x5x5x5or 5x=5x5x5

un proyectil es lanzado de la parte superior de una montaña de 50 m de altura con un angulo x. el proyectil alcanza el suelo desdes de 5 segundos de haber sido disparado. si el alcance horizontal fue de 70m. la rapidex con la que se lanzo el proyectil es:

Answers

Answer:

I can't understand

Step-by-step explanation:

pls translate to english

There are ten red cards in a sack and two blue cards in the same sack. How likely is it for you to draw a red card if you make one draw?

Answers

Answer:

83%

Step-by-step explanation:

I think this is the correct answer

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