A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?

Answers

Answer 1

Answer:

[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]

Step-by-step explanation:

Topic A: Two books are ordered

Topic B: Four books are ordered

Let X= number of books arrived

The probability that a book actually arrives in time is 0.9

i.e., p=0.9

For Topic A:

[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]

For Topic B:

[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]


Related Questions

2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+

Answers

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

X^2/3 =4 what is x^2

Answers

Answer:

3.46

Step-by-step explanation:

It’s 3.46 dude. I’m pretty sure of it

What is (3x^3)^3 in factored form? Help

Answers

Answer:

This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

PLEASE HELP I WILL MAKE YOU BRAINLIEST!!!!! A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.

What is the relationship between the volume of the rectangular prism and the rectangular pyramid?


(A) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.

(B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

(C) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.

(D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.

Answers

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

5×2 to the power of five

Answers

Answer:

5x2^5 is 160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

2^5 is 32. 32 x 5 is 260.

Hope it helps!

What is the volume of the container below?
10 in.
4 in.
20 in.
6 in.
14 in.

Answers

its 1,680 bc volume is l*w*h

Answer:

1584 inches cubed

Step-by-step explanation:

What is the slope of the line that goes through points (2.9) and (5.3)?

Answers

Answer:

0 ZER0

Step-by-step explanation:

There is no slope it would be a straight line across the x axis

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(5-2)

m=-6/3

simplify

m=-2

The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.

By how much was the price discounted?​

Answers

The price was discounted by $8.80 :)

Answer:

I hope I can help

Step-by-step explanation:

welcome po

PLEASE HELP! 15 POINTS!! WILL MARK BRAINLIEST!!!!!! HELP IN MATH!!!!!! PLEASE I AM BEGGING U!!!!!!!!

Answers

Answer:

6 inches high

Step-by-step explanation:

Answer: I can help you....

Step-by-step explanation:

Just copy and pase the question into the go og le sea rc h e ng in e, theres like a 50% chance u will find a similar question just with the words changed up or u will find the exact one. Hope this will help you!

Georgie had her roof repaired. She was charged an extra 2.5% for late payment. She had to pay a total of £977.85. Calculate how much she would have saved if she had paid on time. Help me please

Answers

Step-by-step explanation:

977.85-2.5%= 953.40

977.85-953.40= £24.45 potentially saved.

Answer:£23.85 is your answer.

x+2.5%ofx=£977.85

x(1+2.5/100)=£977.85

x=£977.85/(1.025)=954

saving money will be =£977.85-954=£23.85

Can someone help me with these two problems please?

Answers

Answer:

b

j

................................

find the 7th term in the sequence?
-1,-3,-9

Answers

Answer: -21, what ever number you have you subtract 3 from that number. So after -9 would be -12 and so on

Answer:

-729

Step-by-step explanation:

Given is a geometric sequence.

Therefore,

a = - 1, r = - 3 /(-1) = 3, n = 7

[tex] a_7 =? [/tex]

[tex] \because a_n = ar^{n-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{7-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{6} [/tex]

[tex] \therefore a_7 = (-1)(729) [/tex]

[tex] \therefore a_7 = -729 [/tex]

Answer the question above.
The answer choices are

529.38

565.09

576.09

622.8

Answers

Answer:

576.09

Step-by-step explanation:

Please help:) I'll report you if you steal points :(

Answers

Answer:

2.1

Step-by-step explanation:

So you have to reverse the order to get y, so you multiply 7 and .3 because that is the opposite of division

your answer is 2.1

Please help!!!!! (Look at picture)

Answers

Answer:

7  and 1/10; 7.1

Step-by-step explanation:

the marks on the line each mean 0.1  when hitting 8 therefore meaning 1.0 but the last marked 0.1 is just 7.9

1. Consider the surface area of the following pyramid.
2.24 cm
4 cm
4 cm
2.24 cm
4 cm
3 cm
4 cm
4 cm
3 cm
3 cm
4 cm
4 cm
3 cm
4 cm
4 cm
3 cm
(a) Calculate the total surface area of the pyramid. Show your work.
(b) Calculate the lateral surface area of the pyramid. Show your work.
Answer:

Answers

Answer:

i have the same question and i think

A. 26.88

B. 80.68

Step-by-step explanation:

Write the equation for the function g(x) if the parent function f(x) is translated 3 spaces to the right and 2 spaces up.

Answers

Answer:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

2. GEOMETRY What is the difference in the areas of the polygons shown A=x+4 A=5x-7​

Answers

Answer:

6

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

Because of a record corn harvest, excess corn is stored on the ground in a pile. The pile is shaped like a cone. The height of the pile is 25 ft, and the radius of the pile is 1.2 × 10 2 f t. Use the formula V = 1 3 π r 2 h to find the volume. Fill in the blanks provided below to represent your answer using 2 significant figures.
I need help please

Answers

Answer:

[tex]V=3141.59\ \text{feet}^3[/tex]

Step-by-step explanation:

Given that,

The height of the pile, h = 25 feet

The radius of the pile, [tex]r=1.2\times 10^2\ ft[/tex]

We need to find the volume of the pile of cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \times (1.2\times 10^2)\times 25\\\\V=3141.59\ \text{feet}^3[/tex]

So, the required volume of the pile is [tex]3141.59\ \text{feet}^3[/tex].

Misty runs out of gas 2 blocks from 3 gas stations. She is running late for a hair appointment that was scheduled for 10 minutes ago. Her tank can hold 12 gallons. She has $85, but needs to also use it for her hair appointment. Gas station A has free car service to wash windows and charges $2.67 per gallon. Gas station B charges $2.60 per gallon with no extra services. Gas station C has free air and charges $2.62 per gallon. What is the cheapest cost to fill Misty's tank?

Answers

Answer:

station A

Step-by-step explanation:

Given data

We are told that she has  $85 and she wants to fill only her tank

station A

charges $2.67 per gallon

12 gallons will cost

=12*2.67

=$32.04

station B

charges $2.60 per gallon

12 gallons will cost

=12*2.60

=$31.2

station C

charges $2.62 per gallon

12 gallons will cost

=12*2.62

=$31.44

The cheapest is station A

find the value of x. round to the nearest tenth

Answers

I think the answer is 55

Find the value of x and y

Answers

Answer: D. x=9√3; y=18

Step-by-step explanation:

This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)

-----------------------------------------------------------------------------------------------------

X value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the second short side is x√3

- Substitute value in= x√3=(9)√3=9√3

Y value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the longest side is 2x

- Substitute value in= 2x=2(9)=18

Hope this helps!! :)

Please let me know if you have any questions

if somome can help with the answer. ​

Answers

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

What is the solution to the equation? 14g = 154

A. 5
B. 11
C. 140
D. 2,156

Answers

Answer:

11

Step-by-step explanation:

14/14=154/14

g=11

Answer:

B. 11

Step-by-step explanation:

14g = 154

[given]

14g ÷ 14 = 154 ÷ 14

[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]

g = 154 ÷ 14

[division property, how many times does 14 fit in 154?]

g = 11

________

11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.

g = 11 → 14g = 154

14(11) = 154

154 = 154 ✓

8 1/5-2 7/8 fractions

Answers

i removed my answer because it was wrong look at the other peoples answers

Answer: 213/40 or 5.325

Step-by-step explanation:

We can find common denominators for 8 1/5 and 2 7/8.

The Lowest Common Denominator for 8 1/5 and 2 7/8 is 40.

8 1/5 = 41/5 = 328/40.

2 7/8 = 23/8 = 115/40.

Now we can subtract.

328/40 - 115/40 = 213/40.

Therefore, the answer is 213/40 or 5 13/40.

Evaluate the following expression

Answers

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64

Choose all the expressions that are equal to 7.6 ÷ 10. Please help me!
A. 760 ÷ 100
B. 0.76 ÷ 100
C. 7,600 ÷ 104
D. 7.6 ÷ 102
E. 0.076 ÷ 10

Answers

Answer:

a

Step-by-step explanation:

Answer:

A?

Step-by-step explanation:

Will mark brainliest to whoever answer’s tgese question’s

Answers

I don’t get it?? Sorry

50 points! Mhanifa can you please help me? Only answer if you know it. Random answers will be reported. I will also mark brainliest!

Answers

Answer:

5.  Since ∠CBD ≅ ∠CDB and ∠BAE ≅ ∠DEA, ΔABD and ΔBDE are equal. Therefore, the distances AD and EB are the same.

6.  Since ∠EBC ≅ ∠ECB and AE ≅ DE, ΔABE and ΔCDE are equal. Therefore, the distances AB and DC are the same.

I hope this helps!

Answer:

Question 5

ΔCBD is isosceles as angles B and D are congruent

ΔCAE is also isosceles as angles A and E are congruent

CA ≅ CE as the triangle ΔCAE is isosceles

AB = AC - BC, ED = EC - DC ⇒ AB ≅ ED∠BAE ≅ ∠DEA - givenAE ≅ EA - reflexive propertyΔBAE ≅ ΔDEA - SAS congruency theorem

AD ≅ EB - corresponding parts of congruent triangles

Question 6∠EBC ≅ ECB ⇒ ΔECB is isosceles ⇒ EB ≅ ECAE ≅ DE - given∠AEB ≅ ∠DEC - vertical angles

ΔAEB ≅ ΔDEC - SAS congruency theorem

AB ≅ DC - corresponding parts of congruent triangles

Match the reasons with the statements in the proof.

Answers

Answer:

for some reason i cant see ur attachment. lo siento

Same here I can’t read it
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