Tommy bought one dozen donuts. He gave one-sixth of the donuts to his wife. He then gave one-fifth of the remaining donuts to his son. He took the rest to work. How many donuts did Tommy take to work?

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 200(0.06) = 12[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at https://brainly.com/question/12473640

Answer:

Not Step-by-step explanation:

Not enough info

Answer:

When two numbers have no common factors other than 1.

Step-by-step explanation:

In other words there is no value that you could divide them both by exactly (without any remainder).

21 and 22 are relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 22 are 1, 2, 11 and 22

(the only common factor is 1)

But 21 and 24 are NOT relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

(the common factors are 1 AND 3)

Relatively Prime is also called "coprime" or "mutually prime".

Here we see that 12 and 16 are NOT relatively prime

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

Step-by-step explanation:

Q: What is the coefficient in 6x^2

A: 6

Note: It is USUALLY a number

Answer:

yes your math seems about right but wait for someone else to respond also because im not completely sure

Step-by-step explanation:

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

Answer:

C. San Francisco

Step-by-step explanation:

In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.

Answer:

San Fransisco

Step-by-step explanation:

Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.

Answer:

yes

Step-by-step explanation:

we know that every integer is a rational number and Zero can be represented as the ratio of two integers.

Answer:

Their are many answers for that seqence such as

1,6,11,16,21, etc..

Answer:

6,11,16,21,26,31,36...

Step-by-step explanation:

5x1=5 +1=6

5x2=10+1=11

...

Answer:

1

Step-by-step explanation:

5(x+1) = 12

5(x+1) = 5x + 12

5(x+1) = 5x + 5

5(x=1) = 0

what one is an infinite solution

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

the domain is -11,10 but i didnt know if you wanted that or not

Step-by-step explanation:

Answer:

y= -10x+70

slope being -10 and y-intersept being 70

Step-by-step explanation:

Answer:

Equation: y=-10x+70

Slope: -10

Y-Intercept: 70

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

Happy Holidays! (✿◡‿◡)

The answer is C) m∠1 + m∠2 = 90

Explanation: So ∠1 is x and ∠2 is x-4

Basically you know than ∠3 is 90° ... And a straight line is 180° ..                            So technically we can just find out 180-90 is 90(the other angle 1 + 2).

To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-

So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°

In other words you can say m∠1 + m∠2 = 90

Answer:

12

Step-by-step explanation:

First, you have to graph (which I sadly cannot provide an image of)

Then look at the vertical height which is 4, the how long it is which is 6.

So A=1/2*6*4=12

Explanation:

Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.

slope = rise/run = -1/2

rise = -1 and run = 2

A negative rise value means we go downhill when moving to the right.

Area =[tex]\pi r^{2}[/tex]

The diameter is double the length of the radius

7 ÷ 2 = 3.5

3.5 × 3.5 = 12.25

[tex]12.25\pi[/tex] = 38.4845100064751

38.4845100064751 rounded to the nearest tenth is 38.5

Answer:

A = 38.5 sq meters

Step-by-step explanation:

A = πr²

since diameter is 7, then radius is 7/2

A = π(7/2)²

A = 38.48

A = 38.5 rounded to nearest tenth

Answer:

30°, 210°, 390°

Step-by-step explanation:

Given

f(x ) = 0 has solutions 0°, 180°, 360° , then

f(x - 30) = 0

Add 30° to each of the solutions of f(x) = 0

(0 + 30)° = 30°

(180 + 30)° = 210°

(360 + 30)° = 390°

In mathematics, a constant rate of change is a rate of change that stays the same and does not change.

Applying the inscribed angle theorem, the missing measures are:

1. m∠EDA = 29°

2. m∠BDC = 21°

3. m∠BDC = 21°

4. measure of arc AB = 80°

5. m∠AEB = 40°

6. m∠AEB = 29°

7. m∠BAC = 21°

8. measure of arc ED = 90°

9. m∠ECD = 45°

10. m∠ACB = 40°

11. m∠EBD = 45°

12. m∠ADB = 40°

13. m∠CAD = 45°

14. m∠EAB = 111°

15. m∠EBC = 90°

The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).

The diagram showing circle P is attached below. We are given the following:

measure of arc EA = 58°

measure of arc BC = 42°

measure of arc CD = 90°

Thus:

1. m∠EDA = ½(measure of arc EA)

m∠EDA = ½(58)

m∠EDA = 29°

2. m∠BDC = ½(measure of arc EA)

m∠BDC = ½(42)

m∠BDC = 21°

3. m∠BEC = ½(measure of arc BC)

m∠BDC = ½(42)

m∠BDC = 21°

4. measure of arc AB = 180 - 58 - 42

measure of arc AB = 80°

5. m∠AEB = ½(measure of arc AB)

m∠AEB = ½(80)

m∠AEB = 40°

6. m∠ECA = ½(measure of arc EA)

m∠AEB = ½(58)

m∠AEB = 29°

7. m∠BAC = ½(measure of arc BC)

m∠BAC = ½(42)

m∠BAC = 21°

8. measure of arc ED = 180 - 90

measure of arc ED = 90°

9. m∠ECD = ½(measure of arc ED)

m∠ECD = ½(90)

m∠ECD = 45°

10. m∠ACB = ½(measure of arc AB)

m∠ACB = ½(80)

m∠ACB = 40°

11. m∠EBD = ½(measure of arc ED)

m∠EBD = ½(90)

m∠EBD = 45°

12. m∠ADB = ½(measure of arc AB)

m∠ADB = ½(80)

m∠ADB = 40°

13. m∠CAD = ½(measure of arc CD)

m∠CAD = ½(90)

m∠CAD = 45°

14. m∠EAB =  ½(180 + 42)

m∠EAB = ½(222)

m∠EAB = 111°

15. m∠EBC = ½(measure of arc EDC)

m∠EBC = ½(180)

m∠EBC = 90°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/14267250

Answer:

11X + 3 is correct

Step-by-step explanation:

first add the 9x and 2x= 11x

and then -2 + 5 = 3

Thus 11x + 3

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Answer:

The answer is (C) because every time the hour goes up, the mile goes up by 5 so if you continue to count up by 5's you would get 500 at 10.

Answer:

the answer is

Step-by-step explanation:

p, price per pound of cheese

The required price per pound of cheese is approximately $0.11.

The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.

Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:

$15 - $3 = $12

To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:

price per pound of cheese = total cost of cheese/number of pounds of cheese

Plugging in the values we know, we get:

price per pound of cheese = $12 / 112 pounds

price per pound of cheese = $0.11

Therefore, the price per pound of cheese is approximately $0.11.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ3

Answer:

1.2

Step-by-step explanation:

17 ÷ 20 + 7 ÷ 20

I hope this helps!

Answer:

[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]

[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]

[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]

i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]

but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number

and [tex]\frac{3}{14}[/tex] is a proper fraction

Step-by-step explanation:

<B=180°-70°-50°=60°

hope this helps you.

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