Answer:
0.649
Step-by-step explanation:
The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.
What is Binomial Probability distribution?Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.
Binomial distribution formula can be written as,
P(x) = ⁿCₓ pˣ qⁿ⁻ˣ
where, n is number of experiments and x = 0, 1, 2, ...
Here, it is given that capacity of plane is 68
Number of people actually booked for flight is 70 ⇒ n = 70
Probability that people booked on their flight actually show up = 0.97
So, p = 0.97
⇒ q = 1 - p = 1 - 0.97 = 0.03
Let P be the probability that the number of people showing up exceed the capacity of the plane.
P = P (x = 69) + P (x = 70)
P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]
P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]
P = 0.2562 + 0.00357
P = 0.2598 ≈ 0.257
Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.
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Find the missing angles for each problem, given that lines a and b are parallel (step by step)
Answer:
1) 40°
2) 140°
3) 140°
5)40°
6)140°
7)140°
8)40°
Step-by-step explanation:
1 = 40 ° [Vertically Opposite angles are equal]
8 = 40 ° [Corresponding Angles are equal]
5 = 8 = 40° [Corresponding Angles are equal]
7 = 180° - 40° = 140° [Supplementary angles sum 180°]
6 = 140° [Vertically Opposite angles are equal]
2 = 140° [Corresponding Angles are equal]
3 = 140 ° [Vertically Opposite angles are equal]
The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is less than three times the first number. Find the three numbers.
Answer:
23, 50, 64
Step-by-step explanation:
137 = 23 + 50 + 64
Let the first number be x
Second number: 2x+4
Third number: 3x-5
Write the equation:
x + (2x + 4) + (3x-5) = 137
Solve for "x"
6x - 1 = 137
6x = 138
x = 23
Plug x (23) into the equation:
x + (2x + 4) + (3x-5) = 137
23 + 2(23) + 4 + 3(23) - 5 = 137
(23 + 46 + 4 + 69) - 5 = 137
142 - 5 = 137
Rabbit populations can double every 30
days. If there are 10 rabbits on a farm,
how many rabbits will be on the farm
after 120 days?
First, complete the equation:
Future Amount = [?](1+10
=
Can anyone help asap please
Step-by-step explanation:
a=32(alternate angles are equal)
b=a=32
c=17(all sides of rhombus are equal in length)
d=17(all sides of rhombus are equal in length)
e=90
f=90(diagonals intersect at right angles)
4/s-3 + s/2 = -2
Need help please
Step-by-step explanation:
Given equation is 4/(s-3) + (s/2) = -2
=> [(4×2)+s(s-3)]/2(s-3) = -2
=> (8+s²-3s)/(2s-6) = -2
=> 8+s²-3s = -2(2s-6)
=> 8+s²-3s = -4s+12
=> s²-3s+8+4s-12 = 0
=> s²+s-4 = 0
The standard form is s²+s-4 = 0
a scarf is made of 65% cotton.If the scarf weighs 18 ounces,then how much cotton is in the scarf( STEPS PLEASEE)
Answer: 11.7 ounces
Step-by-step explanation:
65% of 18 is:
0.65*18=11.7
Therefore, the answer is 11.7 ounces.
Answer:
There are 11.7 oz of cotton in this scarf.
Step-by-step explanation:
The scarf weighs 18 oz. We are told that 65% of the makeup of the scarf is cotton. To determine how much cotton is in the scarf, we multiply the scarf's full weight, 18 oz, by 0.65 (0.65 is the decimal fraction equivalent of 65%):
0.65(18 oz) = 11.7 oz
There are 11.7 oz of cotton in this scarf.
En un parqueadero hay 50 vehículos. Pero si contamos sus llantas hay 140.¿Cuántos carros y motos hay? Por favor alguien que me ayude este tema es de matemáticas problemas lineales 2x2
Answer:
Carros = 20
Motos = 30
Step-by-step explanation:
Carros = x
Motos = y
x + y = 50
4x + 2y = 140
x = 50 - y
4 (50-y) + 2y = 140 (substitución)
200 - 4y + 2y = 140
- 2y = 140 - 200
y = -60/-2
y = 30
x + 30 = 50
x = 50-30
x = 20
What is the reciprocal of the divisor 3/ 2 ÷ 5 /6?
Answer:
1 and 4/5
Step-by-step explanation:
!Keep, flip, change. (KFC rule)!
Equation: 3/2 divided by 5/6
1st: Flip the 5/6 to become 6/5
2nd: Change division to multiplication
New equation: 3/2∙6/5
Answer: 1 and 4/5
how do you find common multiples and factors explain
Answer:
We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
WILL GIVE BRAINLIEST
solve for x : -4 = (2/3)x
show steps please
To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)
since -4 = (2/3)x [mutiply both sides by 3]
⇒ -4 × 3 = 2x [divide both sides by 2]
⇒ (-12/2) = x [simplify by dividing -12 by 2]
∴ x = -6
Answer:
X = 6
Step-by-step explanation:
2/3 x 6/1 = 4
2 x 6 = 12
3 x 1 = 3
12/3 = 4
12 divided by 3 is 4
The answer is 6 , x = 6
if everything in a store is 20% off and the discounted price of an item is $18.00 what is the regular price?
Answer:
14.4 dollars
Step-by-step explanation:
If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars
How far did the cargo ship travel in one hour?
a
The ship travels 50 nautical miles in 1 hour.
b
The ship travels 25 nautical miles in 1 hour.
c
The ship travels 75 nautical miles in 1 hour.
d
The ship travels 100 nautical miles in 1 hour.
Answer:
needs a image not much information working with
The price of a sweater was reduced from $25 to &19. By what percentage was the sweater reduced by?
Answer:
24%
Step-by-step explanation:
Difference in price of sweater
=$25-$19
=$6
6/25×100%=24%
pls help me im confused will give brainliest
Answer:
dffffgggggghhhhhhhh give me my points
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED ITTT
Answer:
bru you have a head
Step-by-step explanation:
use ittt
pls help me on this thank you
Answer:
C) y+6=-2(x-4)
Step-by-step explanation:
Find the value of X. Round the length to the nearest tenth.
A. 9.0 yd
B. 31.2 yd
C. 10.4 yd
D. 15.6 yd
Answer:
C. 10.4 yd
Cause why not?
which expression is equivalent to the given expression after using the distributive property? 9 + 5 + 7x² + 3x²y + 2x²
Answer:
9 and 5 I guess enjoy.
.
Step-by-step explanation:
and yeah no explanation
Isis bought 5 sunshades at $10.30 each and 3 beach towels at $8.99 and a hat that cost $29.99. The sales tax is 6.7%. What is the cost of the purchase?
Answer:
$115.73
Step-by-step explanation:
10.30×5=51.50
8.99×3=26.97
51.50+26.97+29.99=108.46
108.46+6.7%
108.46+7.27=115.73
What is the GCF of x^3y^5z^2 and x^4yz^5?
If your are confused the question is also in the picture down below
Find the x-intercept of the following equation. Simplify your answer
x − 7y = –10
x-intercept =
The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.
since x − 7(0) = –10
⇒ x − 0 = –10
x = -10
This makes the x-intercept of x − 7y = –10 (-10, 0).Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=52(2x+3)−2=5
Answer:
frist parentheses then subtract
The solution of equation 2(2x+3)-2 = 52(2x+3)−2 = 5 is x = -29/20.
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
The given equation:
2(2x+3)-2 = 52(2x+3)−2 = 5
Simplifying,
2(2x+3)-2 = 52(2x+3)−2 - 5
Using PEMDAS,
first, we solve the parentheses
4x+6 - 2 = 104x + 156 - 2 - 5
4x+4 = 104x + 149
104x - 4x = 4 - 149
100x = -145
x = -145/100
x = -29/20
Therefore, the value of x is -29/20.
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NEED HELP ASAP!! ILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!
Explanation:
*Based on what i know / understand*
Well one thing is that it is not E (the last choice because the mean is not the same as the median, they are different, the mean is 10.4 while the median is 13.4
And it can not be C or D because the mean is less than the median. So it is rather A or B.
But I think it is B.
Sorry if its wrong ;-;
Simplify the expression to a + bi form:
(1 – 8i) + (8 + 6i)
Tara can type 180 words in 4 minutes at this rate how many words can she type in 10 minutes
Answer:
450 words at a rate of 45 word per minute
Step-by-step explanation:
180 divided by 4 equals 45
times 10 equals 450
Answer:
450 words in 10 minutes
Step-by-step explanation:
To set this up you need to put it like this:
[tex]\frac{180}{4} =\frac{x}{10}[/tex]
From here, you need to cross multiply, which will get you to: 180(10) = 4x
Multiply 180 and 10: 1,800
The equation will now be: 1,800 = 4x
Now, divide both sides by 4: 450 = x
Which of the following statements must be true based on the diagram below
Answer:
i think its the 2nd and 4th
Step-by-step explanation:
1. How has the cost of a movie ticket changed over the last 30 years? What has been the general trend? How can you tell this from the graph? (2 points)
2. What years did the cost of movie ticket decrease compared to the year before? How can you tell from the graph when the price is decreasing? (2 points)
Student Name:
Predicting Movie Ticket Costs Activity
3. There was a time where the cost of a movie ticket stayed relatively the same over several years. For what years did the cost stay relatively the same? How can you tell this from the graph? (2 points)
4. The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011. Can you find a typical rate of change in the price of a ticket for each of these time periods? In other words, on average, by how much did the price of a ticket increase by each year during each of these time periods? (2 points)
5. Predict the cost of a ticket in 2012 – 2015. Plot your predictions and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)
6. What might have been the cost of a ticket during the years 1975 – 1979? Plot your estimates on the grid and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)
Student Name:
Predicting Movie Ticket Costs Activity
7. Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since 1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a y- intercept and equation that models your line of best fit. (2 points)
8. Use your equation (or graph or a table) to predict the cost of a movie ticket in the years 2020 and 2030. Be sure to show how you came to each answer. (2 points)
Answer:
1. For most of the 1990s, tickets sold for an average of less than $5 apiece, and dating back to the 1960s, many Americans could go to the movies for less than a buck. 24/7 Wall St. reviewed data from the National Association of Theatre Owners to determine the cost of a movie ticket the year you were born. A full-price AMC ticket is averages $10.50 nationwide, reflecting a 50-cent increase. Concession prices also increased.
Your asking alot for 50 points so i did 1..
Step-by-step explanation:
What is the answer for x?
Answer:
Step-by-step explanation:
The triangle’s angles add up to 180 degrees
so 40 + (16x + 2) + ∠C = 180
The straight angle is 180°
so ∠C = 180 - (23x + 7)
∠C = 180 - 23x -7
∠C = 173 - 23x
and then 40 + (16x + 2) +(173 - 23x) = 180
40 + 16x + 2 + 173 - 23x = 180
215 - 7x = 180
-7x = 180 - 215
-7x = -35
x = 5
please give me a brainliest answer
May I please receive help?
Please?
Just find m2
Answer:
I'll assume the question says "m<1 is 12 deg. more than m<2."
Step-by-step explanation:
m<WXZ is 86
m<1 + m<2 = 86
m<1 = m<2 + 12
(m<2 + 12) + m<2 = 86
2m<2 + 12 = 86
2m<2 = 74
m<2 = 37
m<1 = 49
m<1 + m<2 = 86 [Checks]
Translate the blue shape to the pink shape...
help me quick please
Answer:
I can't help you if there's no picture lol
