Answer:
a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
b) The expected number of available places when the limousine departs is 0.1.
c) [tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
Step-by-step explanation:
For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is given by:
[tex]E(X) = np[/tex]
The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.
This means that [tex]n = 6[/tex]
35% of all those making reservations do not appear for the trip.
This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]
A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]
[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]
0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
B) If six reservations are made, what is the expected number of available places when the limousine departs?
The expected number of arrivals is given by:
[tex]E(X) = np = 6*0.65 = 3.9[/tex]
Since the are four places:
4 - 3.9 = 0.1
The expected number of available places when the limousine departs is 0.1.
C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
This is the probability of each outcome. So
[tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
Write x2 + 12x + 6 = 0 in vertex form using the completing-the-square method. (2 points)
a
(x - 12)2 - 30 = 0
b
(x - 6)2 + 36 = 0
c
(x + 6)2 - 30 = 0
d
(x + 12)2 + 36 = 0
Answer:
C- is more likely going to be your answer.
A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110 What is the median
Answer:
110
Step-by-step explanation:
The first step is to rearrange the number from smallest to the biggest
62, 76, 80, 83, 90, 110, 110, 121, 147, 160, 164
Median is described as the middle number
Hence the median is 110
Gavin has a board that is ten feet long. Gavin is using the board to saw off pieces of wood needed for a building project. First Gavin saws off 2/10 of the board. Next Gavin saws off 5/10 of the board. Last Gavin saws off 1/10 of the board Gavin says he has 2/10 the board left to use for another building project is Gavin correct?
Answer:
Gavin is correct
Step-by-step explanation:
Since the problem is using a denominator of 10, I will convert 1 (1 representing the full length of the board before being sawed) to a fraction over 10
1 = 10/10
Subtract everything Gavin sawed off from the board
10/10 - 2/10 - 5/10 - 1/10
Only subtract the numerators; the denominators will stay the same
8/10 - 5/10 - 1/10
3/10 - 1/10
2/10
Gavin says he has 2/10 of the board left to use
Since we concluded we still have 2/10, he is correct
Solve the inequality. 4a < 52
a < 208
a < 56
a < 48
a < 13
4a<52
All you have to do is divide 4 from a and 52.
4a<52
/4 /4
a<13
a<208 √
a<56 √
a<48 √
a<13 X
So the odd one out is a<13
---
hope it helps
Can anyone help with this question pleasee
Answer:
[tex] y = 1 [/tex]
Step-by-step explanation:
Given:
[tex] a^{3y - 5} = \frac{1}{a^2} [/tex]
Apply the negative exponent rule
[tex] a^{3y - 5} = a^{-2} [/tex]
The bases will cancel each other
[tex] 3y - 5 = -2 [/tex]
[tex] 3y - 5 + 5 = -2 + 5 [/tex]
[tex] 3y = 3 [/tex]
[tex] \frac{3y}{3} = \frac{3}{3} [/tex]
[tex] y = 1 [/tex]
The base of the right prism is a hexagon composed of a rectangle and two triangles. Find the volume of the right
hexagonal prism using the formula V = Bh.
3 in
in
Answer:
Correct
Step-by-step explanation:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
I need to hire an expert I know it sounds crazy but here’s my number 252-883-1019 im going to send u 5 questions for math I need you to explain to me and you reward will be 20 points + today I will give you 20 points every hour
Answer:
You shouldnt give out your number to strangers on the internet
Step-by-step explanation:
plz help
what is the range of the data set?
Answer:
C. 6
Step-by-step explanation:
The range of a data set is the smallest number subtracted from the biggest number. In this case 7 is the biggest number, and 1 is the smallest number. This gives us the equation 7 - 1 = range which gives us 6.
PLSSSS ANSWER 10 POINTS AND BRAINLIEST
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
we know that
[tex]x+100+3x=180[/tex]
so solve for x
[tex]4x+100=180\\\\4x=80\\\\x=\frac{80}{4}=20[/tex]
Answer: x = 20
Step-by-step explanation:
180 - 100 = 80
4x = 80
x = 20
[tex]1 \div 7[/tex]
Answer:
1/7 or 0.14
Step-by-step explanation:
Answer:
0.14
Step-by-step explanation:
All I did was plug it into my calculator. If you don't have one, you can use your phone or computer. Both devices have calculators programmed in. This answer is not the exact answer; it is just the first two decimals.
Please let me know if you need more help. Hope this helps!
Read the writing prompt for an argumentative essay.
Studies show that teenagers spend hours a day on social media. What impact do social media platforms have on teenagers’ mental health? Write an essay that argues your viewpoint on this topic. Support your claim with reasons and evidence.
Which source would be the most reliable to use for research of the prompt?
an article from a .com website
an article from a .net website
an article from a .gov website
an article from a .org website
I will give brainliest for the correct answer!!
Answer:
an article from a .gov website
PLEASE HELP!!!!!! I WILL GIVE Brainliest!
Answer:
just sub
Step-by-step explanss
What is the value of x?
Answer:
9
Step-by-step explanation:
7x - 3 = 60
7x = 60 + 3
7x = 63
x = 63 ÷ 7
x = 9
4. The length of a leg of a right triangle is 12 inches
and the hypotenuse is 17 inches long. What is
the length of the other leg?
Answer:
12.04
Step-by-step explanation:
Please help is for noww
Answer:
25¢
Step-by-step explanation:
Answer: Answer: $0.25
Step-by-step explanation:
Let x be the total money was in her wallet and m be the cost of each petunia,
From the given table , the money left in wallet after purchasing 2 petunia =$6.50
Then we have the following equation: 6.50 = x - 2m - - - - - ( 1 ) Also, the money left in wallet after purchasing 8 petunia =$5 Then, we have 5 = x - 8m - - - - - - - - - ( 2 ) Subtracting (2) from (1) , we get 6.50 - 5 = -2m - (8m) then -2m + 8m = 1.50 then we 6m = 1.50. m = 1.50/6 = 0.25 hope this helped.
PLEASE HELP ME!
20 points and brainlist.
Answer:
greatest common factor
Answer:
Greatest common factor
Step-by-step explanation:
You need the upside down birthday cake method to find prime numbers and gcf
What is the surface area?
40 m
32 m
40 m
48 m
40 m
square meters
i don’t need a explanation i just need a answer pls hurry!!
Answer:
6,656 square meters
Step-by-step explanation:
Surface area of triangular pyramid = bh + L(S1 + S2 + S3)
Where,
b = 48 m
h = 32 m
L = 40 m
S1 = 40 m
S2 = 40 m
S3 = 48 m
Plug in the values
Surface area = 48*32 + 40(40 + 40 + 48)
= 1,536 + 5,120
= 6,656 m²
how do i see if 5 + 3 x -2 and x + 2 (x + 1) + 1 are equivalent or not?
Simplify both of the expressions and see if they are the same
5+3x-2
=3+3x
x+2(x+1)
=x+2x+2
=2+3x
They are not equivalent.
Find the slope of the line that passes through (1, -19) and (-2, -7)
Answer:
y = -4x-15
Step-by-step explanation:
y = ax+b
-19=a+b
-7=-2a+b
==> a = -4
b = -15
For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water
Answer:
1:8
Step-by-step explanation:
1 hour for every 8 ounces gives a 1:8 ratio
Answer:
8:3 would be the ratio
Find the Surface Area 17 cm 4 cm 10 cm
What are some things that might be necessary to know in order to solve problems involving quadratic regression?
Answer:
When given a set of data, we can use our graphing calculator to generate the quadratic regression equation. This is the equation that best fits a set of data, using a quadratic model.
Step-by-step explanation:
got a 100%
The things which are necessary to know in order to solve problems involving quadratic regression are data, correlation coefficient and quadratic equation.
What is quadratic regression?The quadratic regression is the statistical process which is used to obtain the equation of parabola, to represent the data set in the most appropriate way.
The things which are necessary to know in order to solve problems involving quadratic regression are listed below.
The most important thing for approaching quadratic regression problem is visualize the data.Make a proper table with x and y values with the data. These values should form a parabola for the quadratic regression.Find the correlation coefficient. The closer the value of correlation coefficient to 1, the data good fit into the quadratic equation.Least square method is the best way to solve the problems involving quadratic regression.Thus, the things which are necessary to know in order to solve problems involving quadratic regression are data, correlation coefficient and quadratic equation.
Learn more about the quadratic regression here;
https://brainly.com/question/25794160
The estimated regression equation by least squares method minimizes the sum of the Group of answer choices Absolute deviations between actual and predicted y values Differences between actual and predicted y values. Squared differences between actual and predicted y values None of the choices Absolute deviations between actual and predicted x values.
Answer:
Squared differences between actual and predicted y
Step-by-step explanation:
The least squares regression method used in predictive modeling for linear regression models produces a best fit line which will minimize the square of the mean difference between the actual and projected or predicted values of the dependent, y variable. Hence, the when the sum of the squared value of the difference between the actual and predicted values (residual) are taken, the fit which gives the minimum sum of squared value is the best fit line upon which the estimated regression equation is based.
The true statement is that the estimated regression equation by least squares method minimizes the sum of the (c) Squared differences between actual and predicted y.
In regression, the least square method is used to estimate quantities.
This is done in order to minimize the sum of the squares of the differences between the observed values and the estimated values.
In this case, the observed value and the estimated values represent the actual and predicted y
Hence, the true statement is that the estimated regression equation by least squares method minimizes the sum of the (c)
Read more about least squares method at:
https://brainly.com/question/25927487
What 3d shape does this
net make?
a. rectangular prism
b. triangular prism
c. triangular pyramid
d. rectangular pyramid
Answer:
B) A triangular prism
Step-by-step explanation:
Br0 yk this is easy l.o.l
Branliest to correct answer explain how to solve it please
In general, nCr = n! / r! (n-r)!
Here, 7C3 = 7! / 3!(7-3)!
=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)
=7x6x5x4 / 4x3x2
=7x5x6x4 / 24
=35x24 / 24
=35
Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15
Answer:
its 3 3/4 or in decimal form 3.75
Step-by-step explanation:
15 divided by 4 gives you that answer
Rewrite 10(a - b + 4) using the distributive property.
Answer:
10
I would prefer a expert but if you know 100% feel free to answer I’m offering brainalist + 15 points for a correct answer (:
Answer:
1000
Step-by-step explanation:
6th grade work please tell me the answer fast and don’t give me and incorrect one
Answer: 222cm
Step-by-step explanation:
To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.
To work out the area of the rectangle you have to do 15×12= 180
Then, to work out the area of the triangle, you use the formula base times height divided by 2.
7×12=84
84÷2=42
Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.
180+42=222cm
Hope this helps :)
MULTIPLE CHOICE PLS ANSWER
Answer:
Option.B
Step-by-step explanation:
Its because if you add these two angles you get a supplementary angle or 180°
Using this we can form an equation to find the value of x.
(Hope this answer helps :))
(And is this question from Khan Academy?)