It a bc i said so hahahahaha
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.
Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
Find atleast 5 numbers between 1/2 and 1/3.
Answer:
12.2 12.3 12.4 12.5
Step-by-step explanation:
FOR EXAMPLE:
Christa and her family went out for pizza and it cost $28. In Tennessee we have a sales tax that is 7% which has to be paid along with $28. What is the sales tax on $28?
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).
Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
The standard formula for finding the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
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How do you solve for x?
solve -3x^2=150
please help me
Answer:
x=5i√2,−5i√2
Tap to view steps...
Step-by-step explanation:
math, way, . , com
Please help people!!!!! I’m stupid
X=8(1+2+3+...+49)+1225
please help ! i would mark brainliest to the first answer.
x^2 = 4 py
where p<0
Step-by-step explanation:
I think this is it but I am not sure
How many edges are there on a cylinder?
Answer:
There are 0 number of edges on a cylinder
A ball is hit into air at time t=0 seconds.its height above the ground is given by the equation h=25t-9.8t².what is the value of t when the ball lands on the ground?
Answer:
The ball lands on the ground at t=2.55 seconds
Step-by-step explanation:
Quadratic Equation
The following function models the height above the ground of a ball hit into the air at time t seconds:
[tex]h=25t-9.8t^2[/tex]
We need to find the value of t when the ball hits the ground.
At ground level, h is zero, thus:
[tex]25t-9.8t^2=0[/tex]
This is an incomplete quadratic equation that can be easily solved by factoring:
[tex]t(25-9.8t)=0[/tex]
There are two solutions:
t=0
t=25/9.8=2.55 s
The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:
The ball lands on the ground at t=2.55 seconds
HELP ME PLEASE I NEED A 80%
Answer:
m [slope] = 5/2
Step-by-step explanation:
Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).
There is a rise of 5 units for every run of 2 units.
(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)
m = ∆y/∆x [Change in y over the change in x]
m = 50/20
m = 5/2
1. Mrs. Wendt called Drano Plumbing Company to fix a leak. Their fee is $35 for the
service call, and $42 per hour.
a) Build a table.
b) Write an equation for the amount she would pay for ‘x’ hours:
_________________________
c) Write and solve an equation to find out how long they worked if her bill was $140.
Equation:_________________________
Solution:_______________
Answer:
the equation is 140÷42 and the answer is 4
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).
Answer:
(f - g)(x) = -x - 6
(f + g)(x) = 3x - 4
(f*g)(4) = -9
Step-by-step explanation:
These are your equations:
f(x) = x - 5
g(x) = 2x + 1
To find (f - g)(x), subtract g(x) from f(x).
(f - g)(x) = x - 5 - (2x + 1)
(f - g)(x) = x - 5 - 2x - 1
(f - g)(x) = -x - 5 - 1
(f - g)(x) = -x - 6
To find (f + g)(x), add f(x) with g(x).
(f + g)(x) = x - 5 + 2x + 1
(f + g)(x) = 3x - 5 + 1
(f + g)(x) = 3x - 4
To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).
(f*g)(x) = (x - 5)(2x + 1)
(f*g)(x) = 2x² - 9x - 5
Now that you have (f*g)(x), solve with x as 4.
(f*g)(4) = 2(4)² - 9(4) - 5
(f*g)(4) = 2(16) - 9(4) - 5
(f*g)(4) = 32 - 36 - 5
(f*g)(4) = -9
The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x)=x-5
g(x) = 2x+1
According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4
[f + g ](x) = 3x - 4
[f - g ](x) = x - 5 - 2x - 1
[f - g ](x) = -x - 6
(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5
(f.g)(4) = 2[4]² - 4[4] - 5
= 32 - 16 - 5
= 11
(f.g)(4) = 11
Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
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Which point lies on the line -x+4y=-3
Answer:
3x+4y
gyhhuhyyb buhhujnjjijnjijhu
which of the following choices is equal to 22+36
Answer:
58
Step-by-step explanation:
Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15 less than Jessica. The following expression shows Monte's earnings:
4y − 15
In the expression, what does the first term represent?
Jessica's earnings at the end of the week
The number of crates of bananas Jessica sold
Monte's earnings at the end of the week
The number of crates of bananas Monte sold
Answer:
Jessica's Earning's at the end of the week
Step-by-step explanation:
If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.
In the expression the first term represents "The number of crates of bananas Monte sold". So option D is correct.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be subtraction, multiplication, addition, division.
For example, 2x+3
The expression given for Monte's earnings is 4y - 15.
In this expression, the first term is 4y.
This term represents the amount of money Monte earns per crate of bananas he sells.
Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.
So, the answer is: The first term represents the amount of money Monte earns per crate of bananas he sells.
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What is 6√2⋅√11−2√22 expressed in simplified form?
Hope this help you!!! :))
The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?
Subtract the new value from original value to find the difference:
35 - 28 = 7
Divide the difference by the original amount and multiply by 100:
7/35 = 0.2 x 100 = 20%
The decrease was 20%
Answer:
20%
Step-by-step explanation:
First, subtract the new value from the original value to find the difference between the two.
35 - 28 = 7
Next, divide the difference by the original amount.
7 / 35 = 0.2
Then, multiply by 100.
.2 x 100 = 20%
We now know that the decrease was 20%
a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm
Answer:
A. 31 cm
Step-by-step explanation:
Hopefully its right :)
HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.
Enter the smaller of the two constants of proportionality.
Answer:
t=8
Step-by-step explanation:
400 divided by 50 hopefully that helps with your question
Line e has a slope of -6/5. Line f has a slope of 6/5. Are line e and line f parallel or perpendicular
Answer:
none of those
Step-by-step explanation:
to be parallel it needs to be the exact slope
to be perpendicular it would f would look like this [tex]\frac{5}{6}[/tex]
2. Which of the following is an irrational number?
A. 3
B. 3.5
C. 36
D. 15
Answer:
C. 36
because can not be expressed as a ratio
Write 9/18 as a decimal. Identify the decimal as terminating or repeating.
a. 0.5; repeating
b. 0.9; terminating
c. 0.5; terminating
d. 1; repeating
Answer:
it is c
Step-by-step explanation:
Answer:
C.) 0.5; Terminating
Step-by-step explanation:
Answer:
918=0.5
Showing the work
You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using
GCF(9,18) = 9
9÷918÷9=12
We know that
12
is the same as
1÷2
Then using
Long Division for 1 divided by 2
=0.5
Hope I helped
Brainliest plz
solve the equation
–12p = 24
Answer:
p = -2
Step-by-step explanation:
24 divided by -12
p= -2
help me please i’ll do anything
Answer:
in the first one, she makes $7.50 per box
Step-by-step explanation:
looking at the graph
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
Answer:
I think its B
Step-by-step explanation:
Forgive me if I am wrong, give me brainliest if I am right!
Which point is located at (-1,3)?
Answer:
C
Step-by-step explanation:
1 back, 3 up.
About Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2k+1 , where k is an integer. An even integer is an integer that can be expressed as 2k , where k is an integer. Prove each of the following statements using a direct proof.
a. The sum of an odd and an even integer is odd.
b. The sum of two odd integers is an even integer.
c. The square of an odd integer is an odd integer.
d. The product of two odd integers is an odd integer.
Answer:
a. The sum of an odd and an even integer is odd: 3 + 2 = 5
b. The sum of two odd integers is an even integer: 3 + 5 = 8
c. The square of an odd integer is an odd integer: 3² = 9
d. . The product of two odd integers is an odd integer.: 3 x 5 = 15
Step-by-step explanation:
Proving the following statements using a direct proof;
a. The sum of an odd and an even integer is odd:
let the odd integer = 3
let the even integer = 2
3 + 2 = 5
5 is an odd integer, proved
b. The sum of two odd integers is an even integer.
let the first odd integer = 3
let the second odd integer = 5
3 + 5 = 8
8 is an even integer, proved
c. The square of an odd integer is an odd integer. .
let the odd integer = 3
3² = 9
9 is an odd integer, proved
d. The product of two odd integers is an odd integer.
let the first odd integer = 3
let the second odd integer = 5
3 x 5 = 15
15 is an odd integer, proved
Answer:
a. The sum of an odd and an even integer is odd: 3 + 2 = 5
b. The sum of two odd integers is an even integer: 3 + 5 = 8
c. The square of an odd integer is an odd integer: 3² = 9
d. . The product of two odd integers is an odd integer.: 3 x 5 = 15
Step-by-step explanation:
Proving the following statements using a direct proof;
a. The sum of an odd and an even integer is odd:
let the odd integer = 3
let the even integer = 2
3 + 2 = 5
5 is an odd integer, proved
b. The sum of two odd integers is an even integer.
let the first odd integer = 3
let the second odd integer = 5
3 + 5 = 8
8 is an even integer, proved
c. The square of an odd integer is an odd integer. .
let the odd integer = 3
3² = 9
9 is an odd integer, proved
d. The product of two odd integers is an odd integer.
let the first odd integer = 3
let the second odd integer = 5
3 x 5 = 15
15 is an odd integer, proved