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]
Given the equation y=12x, x representing number of hours worked, y representing amount of money earned, how much would John earn if he worked 6 hours?
9514 1404 393
Answer:
72
Step-by-step explanation:
Substitute 6 for x in the equation and do the arithmetic.
y = 12x
y = 12·6 = 72
John earns 72 money units in 6 hours.
Multiply 3/5 by 10/21 Express your answer in simplest form
Answer:
2/7
Step-by-step explanation:
Answer:
3/5 * 10/21= 2/7
Six and forty-two ten-thousandths as a decimal
Pleaseeeeeee I rlly need help y’all help me out PLEASE HELP ASAP WILL GIVE BRAINLEIST
Mr. Velasquez wants to make a scale drawing of a set for an upcoming play. If the actual width of the stage is 18 feet and the scale he is using is LaTeX: \frac{1}{2}in
1
2
i
n
: 15 feet. What would the width of the stage be in the scaled drawing?
Answer as a decimal.
Answer:
0.6 in
Step-by-step explanation:
Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)
That is, ratio of the width on paper to actual width.
Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:
½ in : 15 ft = x in : 18 ft
[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]
[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]
[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]
[tex] \frac{1}{30} = \frac{x}{18} [/tex]
Cross multiply
[tex] 30*x = 18*1 [/tex]
[tex] 30x = 18 [/tex]
Divide both sides by 30
[tex] \frac{30x}{30} = \frac{18}{30} [/tex]
[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]
[tex] x = 0.6 [/tex]
Width of the stage in scale drawing = 0.6 in
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
If y =3x-5,and x=5 then y ???
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The perimeter of a figure is the total length of its outline, so a sum of all its lengths.
In the diagram we are given two of them, both 7, but not the other two.
Luckily these can be easily worked out.
Since this is a square figure (all angles 90-degrees), all parallel sides will be exactly equal in length. This means both of the unknown sides are 7mi long as well. This means the total perimeter is the sum of all four sides, each of which are 7mi.
7+7+7+7 (OR 4x7) = 28 mi
Hope this helped!
Answer:
The perimeter of the figure is 28 mi
Step-by-step explanation:
Perimeter of a Square
Given a square shape of side length A, the perimeter can be found using the expression below:
P = 4*A
Recall the perimeter is the sum of all the side lengths.
Since the figure shows a square with side length A=7 mi, the perimeter is:
P = 4 * 7 mi = 28 mi
The perimeter of the figure is 28 mi
(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️
(6) 2xº = 86º ==> x = 43
(7) 108º = 3xº ==> x = 36
(8) 72º = 4xº ==> x = 18
(9) 111º = (x + 21)º ==> x = 90
Answer:
1.
2x=86
x=43
2.
3x=108
x=36
3.
4x=72
x=18
4.
x+21=111
x=90
A faucet drips 2/5 gallon of water in 3 1/2 hours. What is the unit rate of water dripped per hour?
Answer:
4/35 gallons per hour
Step-by-step explanation:
Take the amount of water and divide by the time
2/5 gallon
------------------
3 1/2 hours
2/5 ÷ 3 1/2
change to an improper fraction
2/5÷ 7/2
Copy dot flip
2/5 * 2/7
4/35 gallons per hour
True or False: A triangle can be formed with sides 3inches, 3inches, 6inches. Explain your choice.
Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
It would be classified as an isosceles triangle.
Hope this helps!
James is studying different kinds of weather. Rain has water drops that are larger than 0.02 inch in diameter. Small hailstones are less than 14 inch in diameter. Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.
Answer:
wheres the stament
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.
1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
Step 1: Use the distributive property to remove the parentheses. (2 points)
Step 2: Collect any like terms on both sides of the equation. (2 points)
Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)
Answer:
x=-3
Step-by-step explanation:
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
(remove parentheses)
5x-20+3x-9x=6-2x-5+8x
(collect like terms and calculate)
-x-20=1+6x
(move the terms)
-x-6x=1+20
(collect like terms and calculate)
-7x=21
(divide both sides)
x=-3
(your answer :))
I need to find the missing angle of this triangle or whatever it is
Answer:
×=126+28
=154 degrees
It a picture of the question
which number line and equation show how to find the distance from -2 to 5?
Answer:B
Step-by-step explanation:
Answer: |2-5|
Step-by-step explanation:
That is the CORRECT answer. I swear ONG
Match each equation with its solution equation n-13=-12
Answer:
n=1, :) :P UwU TwT -_-
Answer:
n = 1
Step-by-step explanation:
n-13=-12
n-13-(-12)=0
n-1=0
n=1
how to factor g2 − 32g + 256
Answer:
Using the snowflake method, you have to find the factors of 256 that add up to get 32.
The result will look like this:
(g-16)(g-16)
Answer:
[tex](g-16)^2[/tex]
Step-by-step explanation:
[tex]g^2-32g + 256[/tex]
To factor it you should remember that
[tex](a-b)^2 = a^2 -2ab+b^2[/tex]
It is easy to seee that
[tex]32 = 2 \cdot 16[/tex]
and
[tex]256 = 16^2[/tex]
Therefore
[tex]g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2[/tex]
Please help answer this for me :)
Answer:
d=3/2 this should be it
Step-by-step explanation:
is this a keep, change, change?
-9-8
Answer:
Yes, they cancel each other out.
Step-by-step explanation:
Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.
I need help with this and can you explain how to do it?
3(2y + 3) + y
Answer:
7y + 9
Step-by-step explanation:
Given expression:
3(2y + 3) + y;
To solve this problem, apply PEMDAS;
P = parentheses
E = exponent
M = multiplication
D = division
A = addition
S = subtraction
3(2y + 3) + y;
Start solving from the parentheses by applying the distributive property;
6y + 9 + y
= 7y + 9
Can someone help me out and fast?
Answer:
yes, lets see...no that is not a function.
Step-by-step explanation:
no explanation...that's where your on your own, sorry. (its very hard to explain,
but i know that its impossible to have a function like THAT)
Answer:
no because there are 2 lines on the same x axis
Step-by-step explanation:
How many 3-digit natural numbers are there?
Answer:
900
Step-by-step explanation:
natural numbers are all positive numbers that dont include 0
Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?
Answer:
1.5652173913 words per minute.
Step-by-step explanation:
When you divide 36 words/ 23 minutes, you get 1.5652173913.
17-6r=25-3r answer it please
Answer: r = - 8/3
Step-by-step explanation: im pretty sure thats the write answer
Enter the correct value so that each expression is a perfect-square trinomial.
x^2 + __ x + 36
Answer:
12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i did it and got it right on ed.
Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−16x+116.
Yes, because all the solutions of y=−16x+116 need to be integer values for x and y.
Yes, because all of the points that are listed are on the line y=−16x+116.
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
No, because the point (17,−1) is not on the line that represents the equation y=−16x+116.
Answer:
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
Step-by-step explanation:
64 mi/h to ft/s HELP HELP HELP HELP NOW!!!! WILL PUT 5 STARS AND MARK BRAINLIEST!!!
Answer:
Multiply 64 x 5280
Step-by-step explanation:
You will get your answerhelloAnswer:
64 mi/h = 93.9 ft/s I have the answer guide
State whether the given pairs are complementary or not complementary
<79 and <17
As shown in the table, prizes are awarded to students who Benjamin, a student in the class, answers 80 math probalems correctly. His grandmother pays $0.25 per correct answer. His uncle gives him a donation. If benjamin receives $45 from his grandmother ans uncles, how much money does his uncles give him? Explain.
2
10x2 - 724
100x2 + 140xy + 4972 10x + 7y
Answer:
14xy/(10x+7y)^
Step-by-step explanation: