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
I will give brainiest to whoever answers correctly !!
Answer:
a) $1.40 b) $9.35 c) $57.50
Step-by-step explanation:
a) The tax on the burger will be 3% of the cost of the burger.
This means 0.03 of 46.75 (0.03 x 46.75) = $1.40 tax
b) 20% of pre tax bill as tip would be:
0.20 of 46.75 (0.20 x 46.75) = $9.35 tip
c)Total cost of dinner including tax and tip would be:
Original Cost + Tax + Tip
= 46.75 + 1.40 + 9.35
= $57.50 total
*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...
Help!!!!!!!!!!!!!!!!!!!!
Answer:
173.2m
Step-by-step explanation:
Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.
Let the height of the balloon from the ground be AB=hmetres.
In a right angled triangle ACB
BC
AB
=sin60
∘
⇒
200
h
=
2
3
since
sin60
∘
=
2
3
⇒h=200×
2
3
⇒h=100
3
∴h=100×1.732=173.2 since
3
=1.732
Hence, the height of the balloon above the ground is 173.2m
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
Farid bought x rulers for RM3.90 each and y pieces of sticker for
RM1.80 each with the price RM33.90. If the total of rulers and
stickers that he bought is 13, find the value of x and y.
Answer:
y+mx+b
Step-by-step explanation:
What is the value of x in the solution to the system of linear equations?
y - 2x = -1
14 + 2y = 8x
Answer:
(3,5)
value of x is 3
value of y is 5
3x − 2y = 18
y = 2x − 13
Answer:
x = - 8
3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18
Then I used an algebra site for the rest.
It should be x = - 8
I'm guessing you want x and y solved.
Answer: x=10 and y=6
Explanation:
For X: Substitute the y-equation (y-2x-13) into the first equation (3x-2y=18) so your equation is 3x-2(2x-13)=18. Do the distribution property and the equation will be 3x-4x+26=18. Put like terms on the same side of the equal sign and combine like terms (subtract 26 on both sides) and the equation will be -x = -10. To make x positive, make both sides positive and you get x=10.
For Y: Substitute your x answer (10) into the first equation (3x-2y=18) and you will get 30-2y=18. Subtract 30 from both sides and you get -2y=12. Divide both sides by the common factor of -2 and you get y=6.
Do you guys know the answers??
Answer:
Hope this helps!
Step-by-step explanation:
1. 9.38
2. 9.80
3. 11
4. 9.85
5. 15.23
6. 15
7. 9.95
8. 27
9. 26.96
10. 14.14
Step-by-step explanation:
on the picture
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THANK YOU.
What is the length of jL
Answer:
18 ft
Step-by-step explanation:
Since the 2nd triangle is 2x larger than the 1st one, you multiply by 2 on the matching side to get the answer.
(hope this helps!)
The Expressions -3(8) and 3(-8) have a value of -24. Write three different multiplication expressions using two integers that also have a value of -24.
plz help me
Answer:
2(-12), -1(24), 6(-4)
Step-by-step explanation:
A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%
B.
8%
C.
15%
D.
18%
HELP ME PLS WALLAH THIS IS HARD
Answer:
42
Step-by-step explanation:
use the Pythagorean theorem :D
Answer:
[tex] \underline{\boxed{x = 42}}[/tex]
Step-by-step explanation:
[tex] {70}^{2} = {x}^{2} + {56}^{2} \\ {x}^{2} = {70}^{2} - {56}^{2} \\ x = \sqrt{( {70}^{2} - {56}^{2} )} \\x = \sqrt{(4,900 -3,136) } \\ x = \sqrt{1,764} \\ x = 42[/tex]
In ΔXYZ, y = 53 inches, z = 55 inches and ∠X=120°. Find the length of x, to the nearest inch.
Answer: 94
Step-by-step explanation:
can someone help me with this
Answer:
1
Step-by-step explanation:
The amusement park has two plans available for the school to choose from. Plan A is listed in the table below.
Cost (per vehicle) = $10
Cost (per person) = $30
The cost of Plan B can be calculated using the formula c = $15v + $28p, where c represents the cost, v represents the number of vehicles, and p represents the number of people. The school has a budget of $7200 for the cost of tickets and parking. If 241 students are going on the field trip, which plan should the school purchase? Explain your reasoning.
Answer:
the second plan should be purchased.
Step-by-step explanation:
school budget is $7200
plan 1: 241 students are $30 each is
241 × 30 = $7230 which is over budget with no money for parking for the vehicles.
plan 2: 241 students are $28 each is
241 × 28 = $6748
with a budget of $7200 for the trip the amount left for parking is
$7200 - $6748 = $452
plan 2: Parking is $15 per vehicle
Therefore the remaining $452 can be used to pay for 452 ÷ 15 = 30.13 vehicles
The school should purchase Plan 2 for the field trip.
The budget of $7200 can pay for 241 tickets for students and parking for 30 vehicles
The school should purchase the second plan.
School's budget = $7200
The cost for the first plan will be:
= 241 × $30
= $7230
This is more than the school budget of $7200
For the second plan, the cost will be:
= 241 × $28
= $6748.
This is below the school budget and therefore affordable.
The school should choose the second plan as there'll be more money available for parking.
Read related link on:
https://brainly.com/question/20316827
Please help me with my homework!!!!!!!
Answer:
A, C, E
Step-by-step explanation:
- (3/4) = -3/4
A: A is correct because it is the same equation as above.
B: -3/-4
The negatives cancel out each other, so it would just be 3/4, which is not the same as -3/4, so B is incorrect
C: -3/4 is equal to -3/4, so C is correct
D: -(-3/4)
The negative signs cancel each other out, so it equals 3/4. D is incorrect
E: 3/-4 = -3/4, so E is correct
A bouncy ball is dropped such that the height of its first bounce is 6 feet and each successive bounce is 72% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:1.2
Step-by-step explanation:
The height of the 6th bounce of the ball will be 1.2 feet.
What is geometric sequence?
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
[tex]T_{n} =ar^{n-1}[/tex]
Where,
[tex]T_{n}[/tex] is the nth term.
r is the common ratio
a is the first term
According to the given question.
During the first bounce, height of the ball from the ground, a = 6 feet
And, the each successive bounce is 72% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
= 72% of 6
= [tex]\frac{72}{100} (6)[/tex]
= 0.72 × 6
= 4.32 feet
During the third bounce, the height of ball from the ground
= 72% of 4.32
= [tex]\frac{72}{100} (4.32)[/tex]
= 3.11 feet
Like this we will obtain a geometric sequence 6, 4.32, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.72
Therefore,
The sixth term of the geometric sequence is given by
[tex]T_{6} = 6(0.72)^{6-1}[/tex]
[tex]T_{6} =6(0.72)^{5}[/tex]
[tex]T_{6} = 6 (0.193)[/tex]
[tex]T_{6} = 1.16 feet[/tex]
[tex]T_{6} = 1.2[/tex] feet
Hence, the height of the 6th bounce of the ball will be 1.2 feet.
Find out more information about geometric sequence here:
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BRAINLIEST
please help And leave just a small explanation and I’ll mark brainliest :)
Answer:
A. The value of u should be 115 because the two angles shown in the figure are congruent.
Step-by-step explanation:
You can see the placement of the angles and their relationship, which is corresponding angles. This makes them congruent.
hope this helps! :)
Answer:
A)
Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. In this case, [tex]m\angle U[/tex] corresponds with the one marked as [tex]115^{\circ}[/tex]
Joanna received a loan from the bank for $5,000, and she plans on paying the loan back in 3 years. She will have paid $800 in simple interest. What is the simple interest rate of the bank loan? *
1 point
.05%
5.3%
18.75%
Answer:
5.3 is the amswer! Hope u pass
A vehicle moves along a straight road. The vehicle's position is given by f(t), where t is measured in seconds since the vehicle starts moving. During the first 10 seconds of the motion, the vehicle's acceleration is proportional to the cube root of the time since the start. Which of the following differential equations describes this relationship, where k is a positive constant?
a. df/dt= k3√t
b. df/dt= k3√f
c. d^2f/dt^2= k3√t
d. d^2f/dt^2= k3√f
Answer:
C. [tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]
Step-by-step explanation:
Physically speaking, the acceleration is equal to the second derivative of the position of the vehicle in time. After a careful reading to the statement, we construct the following ordinary differential equation:
[tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]k[/tex] - Proportionality constant, measured in meters per second up to 7/3.
Therefore, the correct answer is C.
The differential equation that models the situation is:
[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]
Which is option C.
The position is the integral of the acceleration, with is the integral of the acceleration, hence, the relation between the position and the acceleration is:
[tex]\frac{d^2f}{dt^2}[/tex]
The acceleration is proportional to the cube root of the time since the start, hence:
[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]
In which k is the constant of proportionality.
A similar problem is given at https://brainly.com/question/14480252
Jenna wants to rent a mountain bike by the week. Identify the independent variables that affect the total rental cost.
Answer:
2845
Step-by-step explanation:
what is the answer to this
factor 2k+5
2k + 5
2k + 5 = 0
-5
2k = -5
2k ÷ 2 -5 ÷ 2
k = 2.5 or 5/2
W what is the volume of this cube?
cuble centimeter
6 cubic centimeters
1 cm
(1) 3 cubic centimeters
1 cm 1 cm
9 cubic centimeters
Answer:
1 cubic centimeter
Step-by-step explanation:
volume = 1 × 1 × 1 = 1 cm²
A study of pet owners included 752 owners who were chosen at random. Of these pet owners, 63% said they had spayed or neutered their pets. Vet records show that only 39% of pet owners spay or neuter their pets. Identify the statistic and the parameter. (4 points)
Sixty-three percent is the parameter and 39% is the statistic.
Sixty-three percent is the statistic and 39% is the parameter.
Seven hundred fifty-two is the parameter and 63% is the statistic.
Seven hundred fifty-two is the statistic and 63% is the parameter.
Seven hundred fifty-two is the parameter and 39% is the statistic.
Answer:
Sixty-three percent is the statistic and 39% is the parameter.
Step-by-step explanation:
The statistic and the parameter are to be considered as 63% is the statistic and 39 % is the parameter.
Identification of the statistic and the parameter:Here the parameter represent the fixed measure that explained the overall population that share the related and common attributes.
And, the statistic means the attribute of the sample or the portion of the target population.
Hence, Sixty-three percent is the statistic and 39% is the parameter.
Learn more about statistic here: https://brainly.com/question/16840464
Greg has a 15 foot ladder. He needed to clean his gutters which are 12 feet high from the ground. How far away does Greg need to place the ladder from the base of the house to reach the gutters
Answer:
Base = 81 feet
Step-by-step explanation:
Given that,
Length of the ladder = 15 foot
Greg needed to clean his gutters which are 12 feet high from the ground.
We need to find how far away does Greg need to place the ladder from the base of the house to reach the gutters. Let it is b.
Here, hypotenuse = 15 feet, height = 12 feet and base = b
We can use Pythagoras theorem to find b.
[tex]b^2+h^2=H^2\\\\b^2=H^2-h^2\\\\b^2=15^2-12^2\\\\b^2=225-144\\\\b=81\ \text{feet}[/tex]
So, the ladder should be placed at a distance of 81 feet from the base of the house to reach the gutters.
solve for the y-intercept. Show your work! Then list the slope-intercept form of the line (-15,-17) (14,10)
Answer:
The line is y = 27/29x - 88/29The y-intercept is (0, -88/29)Step-by-step explanation:
Given point:
(-15,-17), (14,10)Slope-intercept form:
y = mx + bUse slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (10 - (-17))/(14 - (-15)) = 27/29Use one of the points to find the y-intercept:
y = 27/29x + b10 = 27/29*14 + bb = (29*10 - 27*14)/29b = -88 /29The line is:
y = 27/29x - 88/29Answer:
slope for y intercept={10--17)/(14--15)=27/29
Calculate the value of the expression -8 x -3/4
A. 6
B. -6
C. 4
D. -4
E. -7
Answer:
A
Step-by-step explanation:
- 8 × - 3 = 24 ÷4=6
this is the right answer
What is the equivalent of 5f + 7f
Answer:
12 f
Step-by-step explanation:
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answer:
Step-by-step explanation:
xhxj
Solve this equation with ÷, ×, -, or +.
18 _ 2 × 4 = 26
Answer:
+
Step-by-step explanation:
b/c
18+2×4
18+8
26
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THANK YOU.