1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GalinKa [24]
2 years ago
8

6.

Mathematics
1 answer:
Drupady [299]2 years ago
5 0
I believe it’s C. 3/2
You might be interested in
A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300. The
zubka84 [21]

Answer:

the variance of the refund payment to the couple = 9463.394

Step-by-step explanation:

Given that :

A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300.

It is possible that the couple won't be able to refund up 100 per day or more than 100 per day.

SO; let assume that the refund payment happens to be 0, 100,200,  300

Let X be the total refund payment on the seven day cruise.

We can say  X = 0, if there is no rain on all 7 days.

P(X = 0) = _nC_x * P^x * (1 - P)n-x

P(X = 0) =  _7C_o * 0.2^0 * (1-0.2)^{7-0

P(X = 0) =1 * 1* (1-0.2)^{7

P(X = 0) =(0.8)^{7

P(X = 0) =0.2097152

If it rains on any one day; then X = 100

P(X = 100) = _nC_x * P^x * (1 - P)n-x

P(X = 100) =  _7C_1 * 0.2^1 * (1-0.2)^{7-1

P(X = 0) =7 * 0.2* (1-0.2)^{6

P(X = 100) =7* 0.2* (0.8)^{6

P(X = 100) =0.3670016

if it rains on any two day  ; then X = 200

P(X = 200) = _nC_x * P^x * (1 - P)n-x

P(X = 200) =  _7C_2 * 0.2^2 * (1-0.2)^{7-2

P(X = 200) =  21 * 0.2^2 * (0.8)^{5

P(X = 200) = 0.2752512

if it rains on any three day or more than that ; then X = 300

P(X \ge 300) = 1 - P(X < 300)  \\ \\ P(X \ge 300) = 1 - [P(X = 0) + P(X = 100) + P(X = 200)] \\ \\ P(X \ge 300) = 1 - [0.2097152 + 0.3670016 + 0.2752512] \\ \\ P(X \ge 300) = 0.148032

Now; we have our probability distribution function as:

P(X = 0) = 0.2097152

P(X = 100) = 0.3670016

P(X = 200) = 0.2752512

P(X = 300) = 0.148032

In order to determine the variance of the refund payment to the couple; we use the formula:

variance of the refund payment to the couple[Var X] =E [X^2] - (E [X])^2

where;

E[X^2]  = \sum x^2 \times p \\ \\ E[X^2]  = 0^2 * 0.2097152 + 100^2 * 0.3670016 + 200^2 * 0.2752512 + 300^2 * 0.148032 \\ \\  E[X^2]  = 0  + 3670.016 + 11010.048+ 13322.88  \\ \\  E[X^2]  =28002.944

(E [X]) = \sum x * p\\ \\  (E [X]) =  0 * 0.2097152 + 100 * 0.3670016 + 200 * 0.2752512 + 300 * 0.148032 \\ \\ (E [X]) = 0 + 36.70016 + 55.05024 + 44.4096\\ \\ (E [X]) = 136.16 \\ \\ (E [X])^2 = 136.16^2 \\ \\ (E [X])^2 = 18539.55

NOW;

the variance of the refund payment to the couple = 28002.944 - 18539.55

the variance of the refund payment to the couple = 9463.394

7 0
2 years ago
What is the range of f(x)=15(1/3)^x
wel

Answer:

(0,inf)   {y║y>0}

Step-by-step explanation:

8 0
3 years ago
Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the
harina [27]

Step-by-step explanation:

Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.

6 0
2 years ago
1.Which expressions are polynomials? Select each correct answer. Pick more then one.
madreJ [45]

If all the power of the variables are greater than or equal to zero, then the expression is a valid polynomial.

So,

1.

7x^{7}-x-5

35x^{2}

\frac{x}{5}+2

are polynomials.

2.

x^{2} -x\sqrt{2}

y

2 + s

4x^{2} +y

are all polynomials.

3.

If the degree of the polynomial is 3, then it is a cubic polynomial. If the number of terms of a polynomial is 3, then it is a trinomial.

Hence, -5x^{3}-4x+1 is a cubic trinomial.

4.

The highest power is the degree.

Hence, degree of the polynomial is 2 + 4 = 6.

6 0
3 years ago
Read 2 more answers
What is the volume of this square pyramid?
likoan [24]

Answer:

400m^3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Last year, Bill opened an investment account with $6800 . At the end of the year, the amount in the account had increased by 24.
    5·1 answer
  • WILL GIVE BRAINLIEST AND 5 RATING IF HELP!
    7·1 answer
  • PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! NEEDS TO BE ALEGABRA 2 MEATHOD!!!!!!!!
    6·1 answer
  • 6. Chris can buy an online magazine
    9·2 answers
  • 23. Which is a solution to the inequality below?
    10·1 answer
  • What is the measure of angle A?<br>what is the measure of angle B?​
    8·1 answer
  • The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the length of the other leg.
    11·1 answer
  • What is the y intercept y=3–4x choose 1 answer
    15·1 answer
  • The SI unit for measuring mass is the<br><br> Meter<br> Gram<br> Liter
    5·1 answer
  • The difference of six and two divided by four
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!