Solve for x:
600
x + 124
Just enter the number.
On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger
Answer:
.3988 .
Step-by-step explanation:
We shall use Binomial distribution formula in the problem .
n = 103
The probability that a passenger will not miss the flight and show up = .97
The probability that a passenger will miss the flight = .03
n = 103 ,
probability of showing up 101 , 102 and 103 passengers so that at least 1 passenger will return or bump .
= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³
103 x 102 /2 .97¹⁰¹ .03² + 103 .97¹⁰² .03 + .97¹⁰³
= 5253 x .046 x .0009 + 103 x .00134 + .0434
= .2174 + .1380 + .0434
= .3988 .
The probability that the airline will have to bump at least one passenger is; 0.3988
Binomial probability distributionProbability that the travelers did not show up for the flight is; q = 3% = 0.03
Probability that they will show up for the flight is; p = 97% = 0.97
The formula for binomial probability is;P(X = r) = nCr × p^(r) × q^(n - r)
Thus, the probability that the airline will have to bump at least one passenger is;
(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)
>> 0.2174 + 0.1380 + 0.0434
>> 0.3988
Read more on binomial probability at; https://brainly.com/question/15246027
*8th grade math*
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
please answer with work
Answer:
67
Step-by-step explanation:
__
Answer: 5.4945...
Step-by-step explanation:
1.6 (1 + 0.5n) − 3 , 2 = 1.1 (n − 6.8)
Rewrite the equation as 1.1 (n − 6.8) = 2.
1.1 (n − 6.8) = 2
Divide each term by 1.1 and simplify.
Divide each term in 1.1 (n − 6.8) = 2 by 1.1.
1.1 (n − 6.8)/1.1 = 2/1.1
Cancel the common factor of 1.1.
n − 6.8 = 2/1.1
Divide 2 by 1.1.
n − 6.8 = 1.81...
Move all terms not containing n to the right side of the equation.
Add 6.8 to both sides of the equation.
n = 1.81... + 6.8
Add 1.81... and 6.8.
n = 8.618...
Replace the variable n with 8.618... in the expression.
1.6 (1 + 0.5 (8.618...)) − 3
Simplify each term.
Multiply 0.5 by 8.618...
1.6 (1 + 4.309...) − 3
Add 1 and 4.309...
1.6 ⋅ 5.309... − 3
Multiply 1.6 by 5.309...
8.4945... − 3
Subtract 3 from 8.4945...
5.4945...
Situation
You are a financial advisor. Your clients include young couples who are looking for financial advice. During this pandemic, everyone is looking for the best option when saving their money. As a financial advisor, you help people determine the best options for their savings plan. Most banks offer saving plan options with compound interest.
The Jacksons
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly
Answer:
egwegerhreherhsrhs
Step-by-step explanation:
thtrhrtsjsjhshjshhs
Help plz:)))I’ll mark u Brainliest
Answer:
22-18-25,
19-24-30,
7-24-25
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
22-18-25,
19-24-30,
7-24-25
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
If BD bisects ∠ABC, find each value
Answer:
x=14
y=10
AD=19
CD=19
Step-by-step explanation:
x:
5x-6=64
+6 +6
5x=70
x=14
y:
3y-11=y+9
+11 +11
3y=y+20
-y -y
2y=20
y=10
AD:
3y-11
3(10)-11
30-11
19
CD:
y+9
(10)+9
19
i giveeeeeeeeeeee brainlilstttttttttttttttt
he points in the table lie on a line. What is the slope?
when a metallic ball bearing is placed inside a cylindrical container of radius 2 cm the height of the water inside the container increased by 0.6 CM the radius is it to the nearest teeth of the centre of the ball bearing is
Answer: do 2 x 0.6
Step-by-step explanation:
there y go
AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B
Answer:
huh? im confused on the question
Step-by-step explanation:
!!
Answer: 3.76
Step-by-step explanation:
trust
Given ΔPQR and ΔSTU, what is m∠Q?
Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.Thus:
ΔPQR and ΔSTU are similar because:
PQ/ST = PR/SU = QR/TU = 3.5
Therefore,
m∠Q = 180 - 70 - 46
m∠Q = 64°
Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Learn more about similar triangles on:
https://brainly.com/question/2644832
A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches
Answer:
379.94 square inches, or 379.94 in².
Step-by-step explanation:
The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.
Since the formula says r², 11 needs to be squared, or multiplied once by itself. 11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.
With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².
Let me know if I need to change or clarify anything. I hope this helps! :D
Answer:
19.6ft2
Step-by-step explanation:
2. Juan is purchasing beverages for a family reunion. Each case of water costs
$3.75 and each case of lemonade costs $6.49. He has a total of $80 that can be
spent on beverages. Write an inequality to represent the number of cases of water
and lemonade he can purchase.
Answer:
a
Step-by-step explanation:
rn rn m rn... rn
rn rn rn
rn em rn rnnn
Triangle PQR has vertices P(-2,8), 0(2,4), and R(4.6). Which best describes triangle PQR?
a right triangle with PQ QR
a right triangle with PQ PR
an isosceles triangle with PQ=QR
an isosceles triangle with PQ=PR
Answer:an icosceles triangle with pq qr
Step-by-step explanation:
Estimate the sum of 13 and 45
Answer:
58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
13 plus 45 is 58
you add them.
do you understand?
Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?
Answer:
angle A=140
angle B=105
angle C=60
angle A=140
angle B=105
angle C=60
Step-by-step explanation:
PENN
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!
Answer:
The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.
Step-by-step explanation:
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no
Answer:the answer is D Any amount of time over an hour and a half would cost $10
Step-by-step explanation:
Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.
Answer: 28.765957 km/hour
This value is approximate. Round it however you need to.
==============================================
Explanation:
Let's convert 75 minutes to hours.
75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr
So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is
speed = distance/time
speed = (130 km)/(1.25 hrs)
speed = (130/1.25) km per hour
speed = 104 km per hour
Let A = 104, so we can use it later.
------------------------------------
Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.
From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hoursOverall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.
Dani's train travels 312 km in 3.25 hours.
That train's speed is...
speed = distance/time
speed = (312 km)/(3.25 hours)
speed = (312/2.35) km per hour
speed = 132.765957 km per hour, approximately
Let B = 132.765957 so we can use it later.
------------------------------------
Lastly, we subtract the values of A and B to get the final answer
C = difference in train speeds.
C = B - A
C = 132.765957 - 104
C = 28.765957 km/hour
This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.
what is the the y intercept of the function f(x)=-2/9X+1/3?
Answer:
1/3
Step-by-step explanation:
the y-intercept is when x=0, so, if x was 0, y is1/3
plz brainliestt
Answer:
It is 1/3
Step-by-step explanation:
hope it helps ^^
In a cross between individuals that are Aa × Aa, how many boxes of the Punnett square will show an offspring that is AA?
please help
Answer:
1
Step-by-step explanation:
JELPPPPP it’s due in 5 mins
The answer is 65
Step-by-step explanation:
all you had to do was divide
Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary
Answer:
the anser is 22.10
Step-by-step explanation:
you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?
Answer:
One Serving - 1/4 teaspoon
240 Serving - 60 teaspoon
plz mark as brainliest
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Use 3.14 as an approximation for π .
Answer:
1,254 sqaure ft
Step-by-step explanation:
Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.
The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
Use the radius of the circle, 20/2 =10, to find the area of the circle:
A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.
The area of the triangle is:
A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568
The area of the shaded region equals the area of the triangle and subtracts the area of the circle.
This is approximately 1,568 - 314 = 1,254 square meters.
Hence, the correct answer would be an option (B).
Learn more about the area of the circle here:
brainly.com/question/19794723
#SPJ2
The sum of the enterior angles of any triangle is equal to:
Answer:
is equal to 180°
I hope it's helps you
Please help with all three will give brainliest and $5
[tex]\frac{x}{y}[/tex]Answer:
Six would be your answer
Step-by-step explanation:
2y-9= y-2
-y -Y
y-9=-2
y=-2+9
y=6
3x + y=5
6x -2y=10 Is it consistent/non consistent and need solution
once i see how to do one ill understand how to do others. thank you
Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.
Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.
2(3x+y=5) becomes
6x +2y= 10 Add it to the other equation
6x -2y= 10 We are left with
12x = 20 Solve for x
x = 5/3 Substitute for x and solve for y.
3(5/3) + y = 5
5 + y = 5. Subtract 5 from both sides.
y = 0
The solution to this system is (5/3 , 0)