Answer: The average is 2.6
Step-by-step explanation:
The average is the same as the mean so to find the mean of the numbers add them up and divide it by the number of values.
(4) + (-8) + (6) + ( 14) + (-3) = 13
13/5 = 2.6
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]
t> -5
can someone show step by step how to solve this equation?
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.
Answer:
640 & 400
Step-by-step explanation:
Cost of books: x and 1040-x
x sold at a loss of 15%= .85 x
1040 - x sold at a profit of 36% = (1040 - x) *1.36
x*.85= (1040-x)*1.36
0.85x+1.36x= 1040*1.36
2.21x= 1414.4
x= 1414.4/ 2.21
x= Rs. 640
Rs. 1040 - 640 = 400
HELPPP ASAPPP
write an equation for each line
line L(the red line)___
line p(the blue line)___
line m(the black line)___
line n(the green line)___
Answer: Line L : Y=4
Line P : X=-4
Line M : Y= -2x+4
Line N : Y= 1x-1
Step-by-step explanation:
At one gas station gas cost $2.75 per gallon write an equation that relates the total cost C to the number of gallons of gas purchased G write as algebraic expression with variables for an answer
What is 4/5 divided 1/3
If jacks age is three years more than twice Trinas age, t, then which of the following represents the sum of their ages in terms of it
1. 2t+3
2. 2t +3t
3. 2t^2+3t
4. 3t+3
A construction worker estimates that a kitchen will take 1 Person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?
A) 4
B) 5
C) 6
D) 7
Answer:
the answer it 5 also my proff is on Google
Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?
Answer: The answer is 11/12 problems
Step-by-step explanation:
You add 2/12 + 9/12 which gives you a result of 11/12
Find the slope of the line passing through the points (8,-4) and (-6,-3).
Anybody know this ?
Answer:
= -1/14
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -4)/( -6 -8)
= ( -3+4)/( -6-8)
1/-14
= -1/14
Can someone please help me with this?
Answer:
I'm gonna say b
Step-by-step explanation:
b should be the answer
74,626,831.08 ROUNDED TO THE TENTH.
Answer:
74,626,831.1
Step-by-step explanation:
You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.
6. Jack is x years old
Jill is 8 years older than Jack.
Mary is three times older than Mary.
The Sum of their ages is 67.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out Rebecca's Mary's and Jill's ages
Answer:
i didn't understand in third line mate
Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g
Answer: Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
Step-by-step explanation:
If you suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all representing three sequences respectively, and you also suppose that [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex] is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:
Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1
find the value of x
need to show work
Thank you guys
Answer:
Since they are vertical angles (or angles opposite each other), you set them equal to each other.
5x + 4 = 74
5x = 70
x = 15
A jet travels 500 miles in 5 hours . At this rate ,how far could the jet fly in 9 hours ? What is the rate of speed of the jet?
Answer:
900 miles it will fly in 9 hours
Step-by-step explanation:
the rate of the speed of the jet is 100 miles per hour because if the jet traveled 500 miles in 5 hours that means it's been flying at 100 miles per hour.
Prove the following statement directly from the definitions. The difference of any two rational numbers is a rational number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r
Answer:
- Integers, b ≠ 0 and d ≠ 0.
- r - s = (ad - bc)/bd.
- products and differences of integers are integers.
- zero product property
- quotient.
Step-by-step explanation:
Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:
For the first part of the question:
The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.
For the second part:
The missing data in the gap = a/b - c/d = (ad - bc)/bd. This is the representation in a simplified form.
For the third part:
The missing data or information = products and differences of integers are integers.
For the fourth part:
The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.
For the fifth part:
The missing data or information: quotient. r - s is a quotient of two integers.
last year, emilia went bowling several times and earned an average score of 100 points. this year, after taking a class at school, her average is now 98% higher. what is her current average?
Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48
Answer:
your new should be c $20
The final cost is $30.
Option C is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The original price of the coat = $50
Discount = 40%
Now,
The final cost.
= (100 - 40)% of 50
= 60% x 50
= 60/100 x 50
= $30
Thus,
The final cost is $30.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
Keiran wants to save $56 for a gift for his mother’s birthday in 14 weeks. How much money must he save each week?
2. I mark as brainliest
Answer:
3.55 miles
Step-by-step explanation:
You add the mileage of the two trails which is 1.75+1.8=3.55 miles
A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.
Answer:
4x4=shaggy
Step-by-step explanation:
y+7=y–3 how many solutions does this equation have?
Answer:
No value
Step-by-step explanation:
Y has zero solutions
A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives instruction via a PowerPoint presentation that is online. The second group attends a class and receives instruction from a teacher face to face. The researcher classifies the students based on when they volunteer for the study. The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher. With respect to this study, we could identify that:
Answer:
This study is good because we have minimized sampling error.
Step-by-step explanation:
We are given that . The researcher has two groups.
The researcher classifies the students based on when they volunteer for the study.
The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.
A. This study is poor because the researcher did not use random sampling.
B. This study is poor because the researcher did used random sampling.
C. This study is good because we have minimized sampling error.
D. This study is good due to the equal sample size in each group.
Option C is true : This study is good because we have minimized sampling error.
What number should be placed in the box to help complete the division calculation?
Long division setup showing an incomplete calculation. 17 is in the divisor, 2635 is in the dividend, and 1 hundreds and 5 tens is written in the quotient. 1700 is subtracted from 2635 to give 935. An unknown value represented by a box is being subtracted from 935.
Numerical Answers Expected!
Answer for Blank 1:
I WILL GIVE LOTS OF BRAINYS 20
PLEASE HELP I WILL DO ENEYTHING PLEASE
l. l. l_____. l. l__-__
l------- l l_____. l l. ____ l
l. l. l_____. l_____ l
Answer:
780
Step-by-step explanation:
17 is the divisor, while 2635 is the dividend. So that,
[tex]\frac{2635}{17}[/tex] = 155
The quotient = 155 = 1 hundreds, 5 tens and 5 units
Also,
2635 - 1700 = 935
Hence, let the unknown value be represented by x. Then;
935 - x
The answer of the subtraction should be equal to the quotient of the division.
935 - x = 155
935 - 155 = x
780 = x
Therefore the unknown value represented by a box is 780.
Answer:
780
Step-by-step explanation:
A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?
Answer:
Number of books sold = 14.75*x
Step-by-step explanation:
On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?
Answer:
Equation:
Hours after 7AM (x) 0, 1, 2
Temp in F (y) -10, -8, -6
Use these for your coordinates
Answer the question, provide the equation, fill in the table and create the graph.
Answer:
it would be 60 degrees at noon
Step-by-step explanation:
HELP ME ITS MY LAST PROBLEM ITS PRECAL HELP MEEEE
Step-by-step explanation:
LHS = (tan β + Sec β)(1 - sin β)
= ((sin β / cos β) + (1/cos β))(1-sin β)
= ((1+ sin β)*(1- sin β))/cos β
= (1 - sin^2 β) / cos β
= cos^2 β / cos β
= cos β
= RHS
Hence proved
PLEASE HELP !!! Find the missing side lengths