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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At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
What is the slope of a line perpendicular to the line represented by the equation 2y=-6x+8
Answer:
First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.
2y = - 6x + 8
y = (-6x/2) + 8/2
y = - 3x + 4
The current slope is -3 or -3/1
The negative reciprocal is 1/3
v + w at v = 2, w =5
Answer:
7
Step-by-step explanation:
if v=2 and w=5 you add 5 and 2 and get 7
What is the factored form of this expression?
4t2 − 27t + 18
A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)
Answer: B. (4t - 3)(t - 6)
Step-by-step explanation:
(4t - 3)(t - 6)
= 4t^2 - 24t - 3t + 18
= 4t^2 - 27t + 18
Answer:
B
Step-by-step explanation:
Sum = -27
Product = 18*4 = 72
Factors = (-24) ; (-3) {(-24)*(-3)=72 & (-24) + (-3) = -27}
4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)
= 4t(t -6) - 3(t - 6)
= (t - 6)(4t - 3)
1/5 divided by 2/3 help meee loll
Answer:
3/10 or 0.3
Hope this helps
the awnser is 0.3 .......................
Is the following inequality true : 4 <_ 4 ?
Answer:
Yes
Step-by-step explanation:
This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.
High School
Please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please AND SHOW YOUR WORK
Answer:
Step-by-step explanation:
6) y = 2x² + 6x - 80
1) y = 2*x² + 2*3x - 2*40
y = 2 [ x² + 3x - 40]
2) Sum = 3
Product = -40
Factors = (-5) ; 8 {-5 +8 = 3 ; (-5)*8 = -40}
y = 2 [ x² + 8x - 5x - 40]
= 2 [ x(x + 8) - 5(x + 8) ]
= 2 [ (x +8) (x - 5)]
y = 2(x +8)(x -5)
b) y = 0
2(x + 8)(X - 5) = 0
x + 8 = 0 ; x - 5 = 0
x = -8 ; x = 5
(-8) ; 5 are the zeros.
The picture is where my question is please answer it, thanks.
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.
Given that a group wants to visit a water park over the summer, and tickets cost $ 10 for each child and $ 15 for each adult, and the group has a total of $ 90 to spend on tickets to the water park, to determine how many people from each group went to the park, the following calculation should be made:
10X + 15Y = 90
Thus, there are different correct options:
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.
credit to: francocanacari
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answer:
=8
Step-by-step explanation: becuase this inst high school this is like third grade
Robin Bolton earns a monthly gross salary of 3,280 as a medical assistant she is considering a new position as a medical office manager which would pay 14.90 an hour with time and a half per hour for all 40 per week how many of overtime per week would robin need to work to earn the same amount as her current job
The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.
Monthly gross = 3,280 Weekly gross = 3280 / 4 = 820New position :
Pay per hour = 14.90Overtime = 1.5(14.90) = 22.35Let the number of overtime hours required weekly = t
Hence,
(14.90 × 40) + 22.35t = 820
596 + 22.35t = 820
22.35t = 820 - 596
22.35t = 224
t = 224 / 22.35
t = 10
Therefore, he'll need 10 hours of overtime.
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WHO WANTS TO SOLVE ANY MATH QUESTION?
Answer:ok
Step-by-step explanation:
ez ez ez ez
find the area
(not to scale)
Answer: no
Step-by-step explanation: no
1. (3n+2)(n+3)
this is multiplying binomial by a binomial
Using the distributive property with FOIL:
(3n + 2) ( n + 3)
3n² + 9n + 2n + 6
3n² + 11n + 6
Kayla bought 16 bagels. Each bagel cost $1.50. She paid a total of $20. Write an equation to determine how many bagels she bought.
an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural
Answer:
2.4hrs or 2hrs 24 minutes
Step-by-step explanation:
3/5 × 4/1 = 12/5
60÷5=12
12×12=144
144÷60=2.4hrs
Can someone pls help em brainliest
Answer:
9
Step-by-step explanation:
I've attached a picture, and I hope it's clear and understandable.
Answer: k=9
Step-by-step explanation:
Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.
The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,
2k/3 = 6
2k = 18
k = 9
HELP ME PLEASE WITH THIS QUESTION! :D
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
(a)
3 × a × 2 × b
= 3 × 2 × a × b
= 6ab
(b)
[tex]c^{5}[/tex] × c
= [tex]c^{(5+1)}[/tex]
= [tex]c^{6}[/tex]
(c)
2[tex]y^{4}[/tex] × 5y³
= 2 × 5 × [tex]y^{4}[/tex] × y³
= 10 × [tex]y^{(4+3)}[/tex]
=10[tex]y^{7}[/tex]
(d)
3gh² × 4g³h³
= 3 × 4 × g × g³ × h² × h³
= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]
= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]
Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F
Answer:
45, 30, & 105
Step-by-step explanation:
<B=<D by alt. interior <s
180-150=30, so <C=30, <C=<A by alt interior <s
30+45=75
180-75=105
(5,6) and (6,8) equation of line
a man is 3 times as old as his son. the sum of their ages is 48 years, how old is the son?
Let the sons age = x
The dads age would be 3x ( 3 times the sons age)
X + 3x = 48
Simplify:
4x = 48
Divide both sides by 4
X = 12
The sons age is 12
how do you do this, thanks for helping
Answer:
A: (-7, -4)
B: (-3, 8)
Step-by-step explanation:
Ordered pairs are (x,y).
Count the lines and see:
A is 7 to the left and 4 down so (-7, -4)
B is 3 to the left and 8 up so (-3, 8)
REMEMBER X IS ALWAYS FIRST!!
Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)
Hope that helps!
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x <47)?
A. 0.16
B. 0.025
C. 0.975
D. 0.84
Answer: A
0.16
Step-by-step explanation:
just took it
findthe classification schemes of a fungues
Step-by-step explanation:
The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.
Ben deposited $500 into a savings account at a local bank that earned 5% interest per
year. How much interest does he earn per year?
Answer:
$25
Step-by-step explanation:
500*0.05=25
Answer:
$25 because 100 is half of 500
what is the value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 ?
a. 5/12
b. 7/12
c. 11/12
d. i don’t know
Answer:
B.[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}[/tex]
So B is the correct answer.
Expression is a combination of operators, variables and numbers.. The value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.
What is Expression?Expression is a combination of operators, variables and numbers.
The given expression is one by two times of m minus two by three times n.
1/2 (m-2/3n)
where m and n are two variables with values m equal to three by two 3/2 and n equal to one by two.
1/2 (3/2-2/3(1/2))
Firstly we solve the value in parenthesis.
1/2 (3/2-1/3)
LCM of two, three is six
1/2 ((9-2)/6)
Subtract nine and two we get seven
1/2 (7/6)
Now one by two times of seven by six
7/12
So value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.
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PLEASE HELP
Absolute Value Inequalities
Divide 28 bottles of water into two groups so the ratio is 3 to 4. Be sure to show your work.
Answer:
12:16
Step-by-step explanation:
28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.
PLEASE ANSWER ALL THESE FOR 60 POINTS!!!
Answer:
Step-by-step explanation:
17. ≈ 1.41 + 5 = 6.41
18. ≈ 1.73 × 2.24 = 3.8752
19. ≈ 3.14 × 25 = 78.5
20. ≈ 2.24 × 2.24 = 5.0176
21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72
22. I’m sorry. I don’t know.
please give me a brainliest answer
You are given a card number that says 9 3 4 3 9 4 8 5 3 1 7 3 2 3 6 x. If this is the credit card number what must x be?
Answer:
7
Step-by-step explanation:
it is a 16 digit credit card number. Therefore, start from the first digit and double alternating digits. Add them and the non doubled digits. should be divisible by 10. For double digits, they are added to make single digit.
9+3+8+3+9+4+7+5+6+1+5+3+4+3+3+x = 73+x
final number should be divisible by 10.
x=7