1. Each person has a 75% probability of going to the Chess Tahoe restaurant. a. You randomly select 8 people. What is the probability that 5 people will not go to the restaurant? (Calculation is necessary to get FULL credits) (5 points)​

Answers

Answer 1

Step-by-step explanation:

75%

selected=8

=8-5=3

=75/100×3

=3/4×3

=9/4

=2 1/4

Answer 2

The probability that 5 people will not go to the restaurant is; 2.31%

This is a binomial probability distribution question which follows the formula;

P(X = x) = ⁿCx • p^(x) • (1 - p)^(n - x)

We are given;

Probability of each person going to the chess Tahoe restaurant; 75% = 0.75

But in this case, we want probability of not going to the restaurant.

Thus;

p = 1 - 0.75

p = 0.25

Sample size; n = 7

Selection; x = 5

Thus,probability that 5 people will not go to the restaurant is;

P(X = 5) = 8C5 × 0.25^(5) × (1 - 0.25)^(8 - 5)

P(X = 5) = 56 × 0.0009765625 × 0.421875

P(X = 5) = 0.0231

P(X = 5) = 2.31%

Read more about binomial probability distribution at; https://brainly.com/question/15246027


Related Questions

What is true about the slope of the line graphed?
EO
A. The slope is positive.
B. The slope is negative
C. The slope is zero.
D. The slope cannot be determined.

Answers

Answer:

B, slope is negative

Step-by-step explanation:

if the line, starting from left, goes down then the slope is negative

Help, can anyone help? I’ve been stuck on this question :( I’ll make sure to give Brainly.

Answers

Answer:

1,524

Step-by-step explanation:

2,000 x 2%= 40

6,999 x 5%=349.95

20,999 x 5.4% = 1,133.95

40+349.95+1133.95=1,523.90

I need help ss is below

Answers

Answer:

9± √3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

Find x if (2.5)^x-3 = (0.4)^6+x​

Answers

Answer:

2.5x=x+3.004096

Sorry, I don't know how to solve this equation.

Step-by-step explanation:

1. True or false:


The ordered pair (3, 4) is a solution for the equation:

5x + 2y = 23

2. True or false:


The ordered pair (0, 4) is a solution for the equation:

5x + 2y = 23

Answers

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

Question 2 (2 points)
Find the indicated limit, if it exists. (2 points)

1) 0
2) 8
3) 3
4) The limit does not exist.

Answers

Answer:

4) The limit does not exist.

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit:                                                                                             [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit:                                                                                               [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}[/tex]

Step 2: Find Left-Side Limit

Substitute in function [Left-Side Limit]:                                                       [tex]\displaystyle \lim_{x \to 5^-} 5 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                          [tex]\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0[/tex]

Step 2: Find Left-Side Limit

Substitute in function [Right-Side Limit]:                                                     [tex]\displaystyle \lim_{x \to 5^+} x + 3[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8[/tex]

∴ since  [tex]\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)[/tex]  ,  [tex]\displaystyle \lim_{x \to 5} f(x) = \text{DNE}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

wallet #1 has 5 $100 bills and 10 $20 bills.

Answers

The total amount you have is $700 because 5 x 100 = 500 + 10 x 20 = 200

Answer:

Wallet #1 = $500 and Wallet #2 = $200

Step-by-step explanation:

I dont know if that was the answer you were looking for?

sorry if its not... :(

Which angles are adjacent to DFE?
Select all that apply.

Answers

9514 1404 393

Answer:

  (c)  ∠BFD

Step-by-step explanation:

Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.

A cube has a base of 9 in2 and height of 12 inches.

What is the surface area, in square inches, of the cube?


(The photo is for you to understand it more! Thank you!)

Answers

i’m not sure but i believe it’s 144 in2

Solving steps for 2x + 14 = 34 ? I know the answer but it's asking me to label the steps

Answers

Answer:

2x+14=34

Step-by-step explanation:

Subtract 14 from both sides

2x=20

Divide by 2 on both sides

Hope this helps :)

njdcjkdckjcbnjbjkx bj. cbj.bjkcbjvkbjdvbjkdddc

Answers

Answer:

lol

Step-by-step explanation:

can i have brainlyest pls?

Carmen cut a 12 meter piece of cloth into three pieces. The first two pieces were each
3 meters long. What was the length of the other piece?

Answers

Answer:

6 Meters long

Step-by-step explanation:

3+3=6

12-6=6

A reproductive clinic had a success rate of 25% of patients with live births in 2008. They want to update their success rate (the proportion of live births) for 2020. If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval? Round your answer up to the nearest integer.

Answers

Answer:

They should sample the results of 1990 patient results.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that [tex]\pi = 0.25[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for [tex]M = 0.025[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2[/tex]

[tex]n = 1989.2[/tex]

Rounding up:

They should sample the results of 1990 patient results.

What is the equation of the line that passes through the point (-6, -2) and has a
slope of -1/6?

Answers

Answer:

y=-1/6x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/6(x-(-6))

y+2=-1/6(x+6)

y=-1/6x-6/6-2

y=-1/6x-1-2

y=-1/6x-3

please help me :(
Picture is below:)
These are the answer choices:
A. 12/13
B. 12/5
C. 13/5
D. 5/13​

Answers

Answer: A) 12/13

Step-by-step explanation: Tangent is simply just opposite/adjacent. The opposite side of angle x is 12, and the hypotenuse is 13, so your answer is 12/13 :)


Carmel is watching a play at the theatre.
The play started at 16 30
The play is 115 minutes long.
When the play ends, Carmel takes 30 minutes to get to the bus stop.
A bus leaves the bus stop at 18 45
Does Carmel get to the bus stop in time to get this bus?
You must show all your working.

Need help

Answers

Step-by-step explanation:

play started 16:30

its 115 min long = 1:55 hours

16:30+ 1:55=18:25 hours

now he takes 30 min to reach bus stop

18:25 + 30 mins = 18:55

therefore, he reaches the bus stop 10 mins late

For which values of x is the function continuous?
Check all that apply.
1
2
3

Answers

Answer: Sorry, I'm not the best at this and I don't have a full answer but I can offer a tip!

X does not repeat if it is a function.

So, if you are finding the function it is one where x is different every time

Step-by-step explanation:

Based on the given graph, we can infer and logically conclude that the values of x for which this function is continuous is equal to zero (0).

What is a continuous function?

A continuous function can be defined as a type of function in which there is no discontinuities or breaks between the intervals for the points plotted on a graph.

By critically observing the graph, we can infer and logically conclude that the values of x for which the function is continuous is zero (0) because it marks the point of continuity.

Read more on continuous function here: https://brainly.com/question/18102431

#SPJ2

Michelle throws a ball vertically upward from the top of a cliff. The height of the ball above the base of
the cliff is approximated by the model H=65+10t – 5t, where H is the height in metres and t is the
time in seconds. How long does it take the ball to reach a height of 50 m above the base of the cliff?

Answers

Answer:

1/2 seconds

Step-by-step explanation:

h(t) = 65 + 10t - 5t^2

h(t) = -5t^2 + 10t + 65

the max height is reached at the vertex.

the value of t at the vertex is:

t = -b/(2a)

t = -10/(2(-10))

t = -10/(-20)

t = 10/(20)

t = 1/2 seconds


27. When $2400 is shared among three boys
in the ratio 3: 4: 5, what is the smallest
share?
a. $1800
b. $1000
c. $600
d. $500


Answers

smallest share is $600

3) If the chocolate inside the package is 335954.96 mm, how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places

Answers

Answer:

A

Step-by-step explanation:

Consider a multiple-choice question exam consisting of 20 questions. Assume that each question has four possible choices, and only one of them is correct. If a student is going to guess solutions at the exam, what is the probability that he answers at most three of them are correct

Answers

Answer:

0.22514

Step-by-step explanation:

Given :

1 answer from 4 options

p = 1/4 = 0.25 ; q = 1 - 0.25 = 0.75

n = 20

P(x ≤ 3) = p(x =0) +p(x=1) + p(x=2) +p(x=3)

P(x = x) = nCr * p^x * q^(n-r)

p(x =0) = 20C0 * 0.25^0 * 0.75^20 = 0.00317

p(x =1) = 20C1 * 0.25^1 * 0.75^19 = 0.02114

p(x =2) = 20C2 * 0.25^2 * 0.75^18 = 0.06694

p(x =3) = 20C3 * 0.25^3 * 0.75^17 = 0.13389

P(x ≤ 3) = 0.00317+0.02114+0.06694+0.13389 = 0.22514

What is the distance from -2 to 0?
O A. 2, because |-2| = 2
ОВ.
1
2
because 1-2) =
2
O c. 2, because 1-21 = -2
D. -2, because |-2| = -2

Answers

Answer:

A. 2, because -2=2 2+-2=0 if that makes sense

wild touring the city Bernie buys lunch for his family from a food truck he purchase more Taco for 2.75 and four cheeseburgers if he spent a total of 23.75 how much was each cheeseburger​

Answers

Answer:

Each cheeseburger was $5.25.

Step-by-step explanation:

He purchased:

A taco for $2.75.

Four cheeseburgers, each for x.

In total, he spent $23.75.

How much was each cheeseburger​?

This is the value of x. We have that:

[tex]2.75 + 4x = 23.75[/tex]

[tex]4x = 21[/tex]

[tex]x = \frac{21}{4}[/tex]

[tex]x = 5.25[/tex]

Each cheeseburger was $5.25.

The probability of winning a game is 20% how many times should you expect to win if you play 36 times

Answers

4 times i had this question

Review the graph of function f(x), which is defined for –4 < x ≤ 2.

On a coordinate plane, a curve starts at open circle (negative 4, 5), curves down to (negative 2, negative 4), and then curves up through (0, negative 1) to closed circle (2, 2).

Which table identifies the left-hand and right-hand limits at the endpoints?


Limit of f (x) as x approaches negative 4 minus DNE
Limit of f (x) as x approaches negative 4 + DNE
Limit of f (x) as x approaches 2 minus 2
Limit of f (x) as x approaches 2 plus 2

Limit of f (x) as x approaches negative 4 minus 5
Limit of f (x) as x approaches negative 4 + 5
Limit of f (x) as x approaches 2 minus 2
Limit of f (x) as x approaches 2 plus 2

Limit of f (x) as x approaches negative 4 minus DNE
Limit of f (x) as x approaches negative 4 + 5
Limit of f (x) as x approaches 2 minus 2
Limit of f (x) as x approaches 2 plus DNE

Limit of f (x) as x approaches negative 4 minus 5
Limit of f (x) as x approaches negative 4 + DNE
Limit of f (x) as x approaches 2 minus DNE
Limit of f (x) as x approaches 2 plus 2

Answers

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:Dne, 5,2,dne

Step-by-step explanation:

Evaluate the expression when b= 3 and x= -3
B-5x

Answers

Answer:

3-5(-3)

3 minus -15

-12

Step-by-step explanation:

what is the answer please? show step by step

Answers

Answer:

D

Step-by-step explanation:

f(x-3) = (x-3)^2 - 8

f(x-3) = (x-3)(x-3) - 8

f(x-3) = x^2 - 6x + 9 - 8

f(x-3) = x^2 - 6x + 1

2.
Find the area of the region bounded by the graphs of y = -x2 + 3x + 4 and y = 4. (5 points)

Answers

Answer:

4.5 sq. units

Step-by-step explanation:

area = -⅓x³+3/2 x² ] 0 to 3

= -⅓(3)³+ 3/2 (3)² -0

= -9 + 27/2

= -9 + 13.5

= 4.5 sq. units

I have a mixing bowl that holds 4 liters of liquid. It's not quite big enough for all my cooking needs, so I find the exact same mixing bowl on Amazon that is just twice the size of the bowl I have. How many liters of liquid can the bigger mixing bowl hold?

Answers

Answer:

8 liters

4x2=8

Step-by-step explanation:

which shapes have 2 obtuse angles? choose

Answers

Answer:

a trapizoid has 2 obtuse angles

Step-by-step explanation:

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