For each of the following four statements, indicate whether it is possible or not according to probability theory. Explain your answer. (1) The probability that a customer will buy 5 items in a single purchase is 30% ___________________________ (2) The probability that a customer will buy 3 items in a single purchase is 101% ___________________________ (3) The probability that a customer will buy 3 items in a single purchase is 99% ___________________________ (4) The probability that a customer will buy 8 item

Answers

Answer 1

Answer:

a) According to probability theory, the following are possible:

(1) The probability that a customer will buy 5 items in a single purchase is 30%.  This represents a 0.30 chance of the customer buying 5 items.

(3) The probability that a customer will buy 3 items in a single purchase is 99%  This means that there a 0.99 chance that the customer will buy 3 items.

b) According to probability theory, the following are not possible:

2) The probability that a customer will buy 3 items in a single purchase is 101%.  Probability is always equal to 1 or 100%.  It cannot exceed 100%.

(4) The probability that a customer will buy 8 item.  This part lacks the necessary information to solve the problem.

Step-by-step explanation:

Probability describes the likelihood or chance of an event happening out of the many possible events that can take place.  The sum of all probabilities for a particular event is always equal to 1.  This shows that probability does not exceed 100%.


Related Questions

Can someone explain to me why I should have used the point (-2, 4) for this equation instead of (-7. -3)?

Answers

I dont know what this could be

there are 60 sixth graders at wilson middle school. only 50% of the sixth graders will attend the morning assembly. how many sixth graders will be at the morning assembly?

Answers

Answer:

30 sixth graders

Step-by-step explanation:

50% = 0.50

multiply 60 by the decimal fraction of the percentage:

60 x 0.50 = 30

you can also just take 60 and divide by 2 since 50% means half

Without performing the calculations, which expression equals the greatest value?
A)
2x (3-5)
B)
3x (
3-5)
)
5x (3-5)
D)
7x (3-5)

Answers

A 2x(3-5)

due to pemdas whatever is inside the parentheses goes first. it’s going to be a negative. if you make the outside number greater, the value of the overall number will become less because negative numbers are less in value the higher they are

please help solve for the area​

Answers

Answer:

The area of the shape is 126 cm.

Step-by-step explanation:

6 + 3 + 3 = 12 cm, all sides

12 * 12 = 144

3 * 3 = 9 / 2 = 4.5

4.5 * 4 = 18

144 - 18 = 126cm

From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers are possible?

Answers

Answer:

132,600 possibilities

Step-by-step explanation:

The first one chosen can be 1 of 52

The 2nd one chosen is 1 out 51

And the 3rd chosen is 1 out 50

So...

52 x 51 x 50 = 132,600

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

What is a combination?

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The number of groups of 3 customers that can be chosen from a collection of 52 store customers can be calculated using the combination formula:

nCr = n! / r!(n - r)!

where n is the total number of customers (52) and r is the number of customers chosen (3).

Substituting the values, we get:

52C3 = 52! / 3!(52 - 3)!

52C3 = 52! / 3!49!

52C3 = (52 × 51 × 50) / (3 × 2 × 1)

52C3 = 22,100

Therefore,

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

Learn more about combination here:

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Write the equation that is parallel to the question: y = -2/3x - 5 and goes through point: (6,-1)

Answers

Answer:

y = -2/3x + 3

Step-by-step explanation:

Parallel lines have the same slope so we already know

y = -2/3x + b

Solve for b using the point given

-1=-2/3(6)+b

-1+4=b

b=3

y = -2/3x + 3

In a survey a bunch of students were asked to name their favorite elective class. There were 15 students who chose "other". How many students participated?

Answers

other = 20 students which equals 25 percent, because math and english sum to 75 percent. if 25* 4 is 100, then you can do 20*4 to get 80, which is how many students participated

What's XY? Base A is 20 and base B is 36

Answers

Answer:

Step-by-step explanation:

c

A parachutist's rate during a free fall reaches 90 miles per hour. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that 1 mile is equal to 5 feet. Do not round your answers

Answers

Answer:

The parachutist's rate of fall is 132 feet per second. In turn, in 5 seconds, the parachutist will drop 660 feet.

Step-by-step explanation:

Given that a parachutist's rate during a free fall reaches 90 miles per hour, to determine what is this rate in feet per second and, at this rate, how many feet will the parachutist fall during 5 seconds of free fall, knowing that 1 mile is equal to 5280 feet, the following calculations must be performed:

90 x 5280 = 475,200

475,200 / 60/60 = X

7,920 / 60 = X

132 = X

Thus, the parachutist's rate of fall is 132 feet per second.

132 x 5 = 660

In turn, in 5 seconds, the parachutist will drop 660 feet.

If F(x) = 5x - 7 and G(X) = x2 - 41, what is G(F(x))?
O A. 5(x2 - 41) -7
O B. -5x +7x2 + 205x – 287
O C. (5-7 - 41
O D. 5x2 - 7x2 - 205x+287

Answers

C is the answer to this

Determine whether the two expressions are equivalent.If so,tell that property is applied. (37) and (2.3). 7*
O Yes; Identity Property
O Yes; Associative Property
O Yes; Commutative Property
O Yes; Inverse Property
O Expressions are not equal

Answers

Answer:

Yes; Inverse Property...

I hope it helps..

The answer is inverse property i hope this helped u

A number divided by negative three is greater than negative three Write the inequality and solve 50 points i need the correct answer asap !!!! Will mark brainiliest !!!

Answers

Answer:

No clue, but i would recommend using desmos,  mathpapa, quizlet,

Step-by-step explanation:

3.14 x 6.25 step by step

Answers

Answer:

Step-by-step explanation:

3.14x6.25

19.625

Answer:

19.625

Step-by-step explanation:

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the
function with its graph

Answers

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

[tex]f(x)=(x-2)^{2}+1[/tex]

45)

The function g(x) is given by:

[tex]g(x)=f(x-1)[/tex]

using f(x) we can find f(x-1)

[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

[tex]g(x)'=2(x-3)[/tex]

[tex]2(x-3)=0[/tex]

[tex]x=3[/tex]

Puting it on g(x) we will get y value.

[tex]y=g(3)=(3-3)^{2}+1[/tex]

[tex]y=g(3)=1[/tex]

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

[tex]g(x)=f(x+2)[/tex]

[tex]g(x)=((x+2)-2)^{2}+1[/tex]

[tex]g(x)=(x)^{2}+1[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2x[/tex]

[tex]0=2x[/tex]

[tex]x=0[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(0)=(x)^{2}+1[/tex]

[tex]g(0)=1[/tex]

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

[tex]g(x)=f(x)+2[/tex]

[tex]g(x)=(x-2)^{2}+1+2[/tex]

[tex]g(x)=(x-2)^{2}+3[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}+3[/tex]

[tex]g(2)=3[/tex]

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

[tex]g(x)=f(x)-3[/tex]

[tex]g(x)=(x-2)^{2}+1-3[/tex]

[tex]g(x)=(x-2)^{2}-2[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}-2[/tex]

[tex]g(2)=-2[/tex]

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

This is for geometry and I need help!

Answers

Answer:

B, C, E, and F

Step-by-step explanation:

Recall the acronym for trigonometric functions: SOHCAHTOA

Thus:

B = 180 - (48 + 90) = 42°

Let's find the trigonometric functions using 42° as the reference angle:

Opp = b

Hyp = c

Adj = a

Applying SOH:

Sin 42 = opp/hyp

✅Sin 42 = b/c (option C is correct)

Applying CAH:

Cos 42 = adj/hyp

✅Cos 42 = a/c (option A is incorrect)

Applying TOA:

Tan 42 = opp/adj

✅Tan 42 = b/a (option E is correct)

Using 48° as reference angle:

Opp = a

Hyp = c

Adj = b

Applying SOH:

Sin 48 = opp/hyp

✅Sin 48 = a/c (option D is incorrect)

Applying CAH:

Cos 48 = adj/hyp

✅Cos 48 = b/c (option B is correct)

Applying TOA:

Tan 48 = opp/adj

✅Tan 48 = a/b (option F is correct)

(30, points)
A right triangle is shown. Which is closest to the value of an x​

Answers

Answer:

I think the answer might be 13. I don't know it is wrong or not

The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is​

Answers

Answer:

11cm

Step-by-step explanation:

Given data

Volume of cuboid =385 cm^3

Base area= 35cm^2

We know that

Volume = Area* Height

substitute and solve for Height

385=35*H

H= 385/35

H= 11cm

Hence, the height is 11cm

Could someone please help me, I have to turn this in, in 30 minutes, only answer if you know how to do it

Answers

9514 1404 393

Answer:

  a. The value of A₀ changes from 10 to 20

  b. t is replaced by (t-5)

Step-by-step explanation:

a. The given formula comes with a description that says A₀ is the initial dose in mg. If the initial dose changes from 10 mg to 20 mg, then A₀ changes from 10 to 20. The function becomes ...

  A = 20·0.97^t

__

b. Shifting the graph of the function to the right by 5 minutes is accomplished by replacing t with (t-5). At the same time, the domain changes from t ≥ 0 to t ≥ 5. The function becomes ...

  A = A₀·0.97^(t-5) . . . . . . . . for t ≥ 5

Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate.



Which inequlity represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?



A.
t > 2.5

B.
t < 2.5

C.
t > 0.4

D.
t < 0.4

Answers

Answer:

Bro the answer is A

Step-by-step explanation:

trust me straight 100% brain dead person

Brainlest and points need help math

Answers

Answer: 43.96in^2
Explanation:
14x3.14=43.96in^2

Help please !!! Thanks guys

Answers

Answer:
(b+4) and (b-1)
Explanation:
do a generic rectangle
b times b is b^2
b times 4 = 4b
-1 times b = -1b
-1 times 4 = -4
b^2+4b-1b-4
simplify
b^2+3b-4

In AOPQ, the measure of angle Q=90°, the measure of angle O=66°, and QO = 4.5 feet. Find the length of OP to the nearest tenth of a fo​

Answers

Answer:11.1 feet

Step-by-step explanation:

Science (from the Latin word Scientia, meaning "knowledge") is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
The earliest roots of science can be traced to Ancient Egypt and Mesopotamia in around 3500 to 3000 BCE

Answers

Answer:

?

Step-by-step explanation:

What are you even asking-

two packages of rice cost the same amount. Which is the better buy? 12 ounce or 400 grams

Answers

Answer:

400 grams

Step-by-step explanation:

12ounce= 340.19 grams approximately

So,its best to buy the package that weighs 400 grams

How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles

Answers

Answer:

520 miles

Step-by-step explanation:

65 mph * 8 hours = 520 miles

I hope this helps :)

Help pls and thank you ..

Answers

Answer:

i think this is the anwer 100

THIS IS SO BAD RN SMH HELP ME WITH ANOTHER MATH SOLVING
4 x 3 x 4 x 9 + 3 - 20

Answers

Answer:

=415

Step-by-step explanation:

The girl in that picture is so pretty oml so if its you then you pretty a.ff

A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.

Answers

Answer:

A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% CI from a sample of 50 students is (6.73, 7.67).

This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.

By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.

What is confidence interval ?

confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.

Here given that  95%  confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct

By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.

To learn more about confidence interval visit :

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Which equation has a slope: 3/2, y-intercept: –4

Answers

Answer:

The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:

y=3/2x-4.

Step-by-step explanation:

You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4.  First of all, remember what the equation of a line is:

y = mx+b  Where:  m is the slope, and  b is the y-intercept

All you really have to do here is  replace m with 3/2, which is the slope you gave, and  replace b with -4, the y-intercept you gave,  in the equation y=mx+b.

turn 3/40 into a fraction

Answers

3/40 is a fraction itself.
ANSWER:
3/40 is already a fraction...
if you meant decimal then it’s 0.075

sorry if this doesn’t help
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