Answer:
a) [tex]P(X = n) = (0.85)^{n}[/tex]
b) [tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
c)
[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]
For each value, we use
[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
d) If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that we use the binomial probability distribution 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:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
A measure is said to unusual if it is more than 2.5 standard deviations from the mean.
85% of recent flights have arrived on time.
This means that [tex]p = 0.85[/tex]
(a) Find the probability that all of the flights were on time.
This is [tex]P(X = n)[/tex], in which n is the size of the sample studied.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}[/tex]
[tex]P(X = n) = (0.85)^{n}[/tex]
(b) Find the probability that exactly x of the flights were on time.
Exactly x of the flights: So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
(c) Find the probability that x or more of the flights were on time.
This is
[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]
For each value, we use
[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
(d) Would it be unusual for x or more of the flights to be on time?
If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no
how much is 1 hundred of R800
I really need to start paying attention in class
Answer:
41
Step-by-step explanation:
Please...I really need help
Answer: it’s the first one
Step-by-step explanation:
9514 1404 393
Answer:
(d) g(x) = -f(x -3)
Step-by-step explanation:
Reflection over the x-axis multiplies function values by -1. Translation to the right 3 units replaces x with x-3. The transformed function is ...
g(x) = -f(x -3)
Can someone help i need it much appreciated will give brainleist
Find the slope and the y-intercept of the line. 2 y=- x+2 5
help please I need it now
Answer: Y = -x/2 + 12.5
Step-by-step explanation:
You wrote the equation strange so i don't really know if the end of the equation is a 25 or not
The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3
for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where
(2 = 10) (1 point)
• The number of vinyl album sales in the country in the year 2020 will be 20.5 million
The number of vinyl album sales in the country in the year 2020 will be 18.3 million
The number of vinyl album sales in the country in the year 2020 will be 7.74 million
O The number of vinyl album sales in the country in the year 2020 will be 21.12 million
Answer:
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Step-by-step explanation:
Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.
To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10
a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.
d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.
Proof -
Given that,
The equation be - y = 0.12 x² + 0.3 x +3.3
Now,
Put x = 10 in above equation we get
y = 0.12×10² + 0.3×10 +3.3
= 0.12×100 + 3 + 3.3
= 12 + 6.3 = 18.3
⇒y = 18.3
∴ we get
The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
So,
The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Can you help me on question six
Answer:
B
promise it's B trust me
The last option is school librarian PLEASE HELP ASAP MY COUSIN NEEDS HELP
Answer:
All parents in the school
Step-by-step explanation:
can you help me please
Answer:
1 < X< 4Step-by-step explanation:
have a nice day/night !
The sum if 2 numbers is 13. Their difference is 3. What are the 2 numbers? Graph these numbers
Answer:
The two numbers are 8&5
Step-by-step explanation:
13 = x + y
y = x-3
13 = x+(x-3)
13=2x-3
16=2x
x=8
y=1(8)-3
y=5
Find the length of the third side. If necessary, round to the nearest tenth.
12
=========================================================
Work Shown:
a = 9, b = 12 are the two legs of the right triangle
c = unknown is the hypotenuse
Apply the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
c^2 = 225
c = sqrt(225)
c = 15
Answer:
15
Step-by-step explanation:
Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.
pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.
12²+9²=225
Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.
√225 = 15
Plot the points where the x coordinate is twice the value of the y coordinate.
GIVING BRAINLIEST
Answer:
Heres brainliest for who answered first
Step-by-step explanation:
45*67=? No cheating do not look up answer
Answer:
3015
Step-by-step explanation:
A parallelogram has a base of 9 inches and a height of 11 inches. What is the area?
Answer:
99
Step-by-step explanation:
The formula is b x h = A
9 x 11 = A
9 x 11 = 99
A = 99
ps. PLZ give me brainliest!
The sum of four numbers is 540. One of the
numbers, x, is 50% more than the sum of the other
three numbers. What is the value of x?
Answer:
chale. necesita. 20 caracteres
A trigonometric identity derived from the Pythagorean theorem is called a ___ identity.
1) cosecant
2) cosine
3) Pythagorean
4) secant
5) cotangent
The answer is 3) Pythagorean.
A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.
How to complete the blank?Mathematically, the Pythagorean theorem states that
Hypotenuse^2 = Adjacent^2 + Opposite^2
Divide through by Hypotenuse^2
This gives
1 = cos^2(x) + sin^2(x)
Rewrite as:
cos^2(x) + sin^2(x) = 1
As a general rule, the above represents the basic Pythagorean identity.
Hence, the word that completes the blank is Pythagorean.
Read more about Pythagorean identity at:
https://brainly.com/question/1969941
#SPJ2
Each of 5 friends got a full box of snacks and an extra 6 snacks. Write an equation to show how many snacks are in all those boxes and all those extra snacks.
need help
give explanation and i’ll give brain list
Answer:
x = 14.5°
Step-by-step explanation:
A+D = 180°
(8x-11) + (5y+2) = 180°
simplify:
5y + 8x = 189°
5y = 189 - 8x
D = B
(5y+2) = (4x+17)
simplify
5y = 4x + 15
then:
189 - 8x = 4x + 15
12x = 174
x = 14.5°
5y = 4(14.5) + 15
5y = 73
y = 14.6
check:
5(14.6) + 8(14.5) = 189
73 + 116 = 189
189 = 189
CAN SOMEONE HELP IM SO CONFUSED PLEASE
Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?
Answer:
Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.
So you would need to multiply 1 8 times in order to produce the dividend,
Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.
what is
2/4 × 3
please help me!
IS THIS CORRECT NEED BEFORE MARCH 11 2021
Answer:
yes can i have brainliest
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I solved the question
Plsssss help!!! This assignment is missing and I need to turn it in because grades are coming out soon!!!
Answer:
Gallons: Miles:
0 0
1 23
2 46
3 69
Step-by-step explanation:
First, you would figure out what the unit rate is. To do that, you would divide the 184 miles by the 8 gallons of gas. You get 23 miles per gallon of gas.
Then, to fill out the unit rate table, copy this method:
You know that 0 gallons of gas would lead you nowhere, so you would put a zero in the first row.
In the second row, you use your answer from the first row (0) and add the number of miles per gallon of gas. You would add 0 + 23 and get 23. Put 23 in the second row.
In the third row, you multiply the number of miles per gallon of gas by 2. The answer is 23 x 2 = 46.
Lastly, you multiply 23 x 3 (answer: 69) to fill out the final row.
PLEASE HELP PLESD PLED
Answer:B
Step-by-step explanation: ok its B because i need some $$$
Answer:
D and E
Step-by-step explanation:
The question asks which one would always form an image that is congruent to the pre-image.
Note that Translation, Reflection, and Rotation do not change the size or shape of the pre-image while Dilation will change the size of your pre-image.
Therefore, the most likely answer would be options D and E that do not include dilation in their series of transformations so the image will not change its size making it congruent to the pre-image.
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet and the diameter of the circle was 14 feet what best represents the value of n.
Answer:
What is N supposed to be? Is there supposed to be some picture or something that should tell us?
Step-by-step explanation:
Help pleaseeeeeeee thanks
Answer:
so the answer is 5
Step-by-step explanation:
the equation will be for this is
7x + 20 = 55
7x = 55-22
7x = 35
x = 35÷7
x=5
Marcy sees a game, Rolling-in-Gold, in which a contestant rolls a
cube with five red sides one gold side. A player wins the game
by rolling a gold. Is Rolling-in-Gold a fair game? If not, how
could the game be made fair? Explain.
Answer:
it's not fair, because it's only a 1 in 6 chance of rolling gold.
it would be fair if 3 of the 6 sides were gold
Answer:
it aint fair it only 1/6 listen to the other guy
Step-by-step explanation:
i needed points sorry
Which is the better deal? $2.89 for 4 quarts or $4.39 for 6 quarts
Answer:
$4.39 for 6 quartz
Step-by-step explanation:
if you multiply 2.89 by 2 it's more then 4.39
Please help find the missing length
Answer:a²=b²+c² in a right angle triangle so answer is root 136
Step-by-step explanation:
helpppppp I’ll Mark you brainliest
Answer:
6.32
Step-by-step explanation:
:|
Answer:
6.32
Step-by-step explanation:
I counted up from G to H and I got 6. Since the line is a diagonal it makes it odd as in a weird number like a decimal most times. It can't be 6 because the line wouldn't make it to H it would be just short. 5.83 is already too short. 8 is to long for the line to be as it is now as a diagonal. 8, you would have to count up 6 and 2 to the right perfect but the line doesn't do that.