Answer:
a. 5.53
b. 1.078
c. 0.126
d. 0.109
e. 0.549
f. 0.834
g. 0.451
Step-by-step explanation:
The percentage of the flights that arrive on time, P(x) = 79%
The number of flights in the sample, n = 7 flights
a. The mean of the probability distribution, μ = ∑x·P(x)
Therefore, we have; μₓ = n·p
μₓ = 7 × 79/100 = 5.53
b. The standard deviation, σₓ = √(n·p·(1 - p))
∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078
c. We have;
p = 0.79
q = 1 - p = 1 - 0.79 = 0.21
By binomial probability distribution formula, we have;
The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³
P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625
d. The probability of less than 4 is given as follows;
P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴
∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109
The probability of less than 4 is ≈ 0.109
e. The probability that more than 5 is given as follows;
P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549
f. The probability that at least 5 of the flight were on time is given as follows;
P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834
g. For the probability that no more than 5 of the flights were on time, e have;
P(At most 5) = 1 - P(More than 5)
∴ P(At most 5) = 1 - 0.549 ≈ 0.451.
Explain one way to find the area of the polygon at the right. Then find the area in square units.
Answer:
27 Units^2
Step-by-step explanation:
Split it up into sections, attached below are 3 different sections.
Section 1:
5*3=15
Section 2:
2*4=8
Section 3:
4*2/2 = 4
Add all the sections together:
15+8+4 = 27 Units^2
Please Mark Brainliest if this helped
Please Mark Brainliest if this helped
help me dont put links while answering question
Answer:
It's A, 3.82
Step-by-step explanation:
the decimal table goes up to left
What type of angles are A and B?
Answer:
supplementary angles
Step-by-step explanation:
Answer:
supplementary
they are also adjacent
they also form a 'straight angle'
they can also be termed as a 'linear pair'
Step-by-step explanation:
Divide.
4,617 ÷ 23
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
Answer:
200.7391304348
Rounded: 200.74
Answer: 200.74
Step-by-step explanation:
A person invested $220 in an account growing at a rate allowing the money to double every 13 years how much money would be in the account after 27 years?
Answer:
the answer should be 456.92
Answer:
928
Step-by-step explanation:
3.2 x 1.4 =
help help help pls
Answer:
4.48
Step-by-step explanation:
Answer:
4.48
Step-by-step explanation:
Please help ! Please help!
6x + 2 = 62
6x + 2 - 2 = 62 - 2
6x = 60
6x / 6 = 60 / 6
x = 10
PLEASE PLEASE HELP ME THIS IS DUE VERY SOON I NEED YOUR HELP!
Answer:
1. (3,-2)
2. (-1, -3)
3. (-4, 5)
4. (2, 5)
Step-by-step explanation:
Calcula el área y perímetro de un rectángulo que tiene como base (x+y) y altura (x-1).
Answer:
A = x^2 - x + xy - y
P = 4x + 2y - 2
Step-by-step explanation:
[tex]a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2[/tex]
I hope that is useful for you :)
2 1/6 feet equal how many inches in fraction form
you measured the weight of every apple in a box and found the mean weight to be 13.2 ounces and the standard deviation to be 2.7 ounces. you then discover that your scale was weighing every apple as being 3 ounces heavier than their actual weight. what are the actual mean and standard deviation?
Find the conjugate and product of the following surds
1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy
Answer:
(1) Conjugate = -i8
(2) Conjugate = -i3+9
(3) Conjugate = i2+1
(4) Conjugate = -3-iy
Step-by-step explanation:
From the question,
Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.
The conjugate of a surd is obtained by changing the sign of the surd in the expression.
Given
(1) i3+i5 = i8
Conjugate is -i8
(2) i3+9
Conjugate is -i3+9
(3) -i2+1
Conjugate is i2+1
(4) -3+iy
Conjugate is -3-iy
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
1. C 4x4x4x4x4
2. Power is 5 and the Square yards are 25
3. 2^3 ^2
Step-by-step explanation:
An online retailer collects 7% sales tax. If the sub total of the purchase is $76,00, then how much is collected for sales tax
Answer:
$5.32
Step-by-step explanation:
76 x .07 = 5.32
find the mean variance and standard deviation for the number of heads when a coin is tossed 30 times
Answer:
mean=10*1/2=5
variance=10*1/2*1/2=2.5
standard deviation=sqrt2.5=1.58
Step-by-step explanation: Hope this helps Have a good day :)
Pls help extra points
Which choice is equivalent to the fraction below?
7/12
A. divided 12
B. 7•12
C. 7-12
D. 12 divided 7
Answer:
b
Step-by-step explanation:
:)
PLEASE HELP ME WITH THIS !
Answer:
uh idek
Step-by-step explanation:
Answer:
1) 20.2
2) 13
3) 10.3
4) 103
Step-by-step explanation:
If you need help solving these on your own next time, here's the formula
a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.
To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)
Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.
(ex. √408.64, which is 20.2)
If anybody can help it be really appreciated
Answer: PD
Step-by-step explanation:
Given
PA=PB
and PC=PD
We know, If two chords AC and BD intersect internally or externally at point P then
[tex]PA\times PC=PB\times PD[/tex]
Therefore, the missing term is PD
A hairstylist schedules hour to trim a customer's hair and hour to style the customer's hair. The hairstylist plans to
work 3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each
customer must be trimmed and styled?
appointments
Answer:
5 customers
Step-by-step explanation:
If she takes 1 hour to trim and 1 hour to style, she will take 2 hours per customer.
She plans to work 3 hours a day. So, she can only fit 1 customer in per day because if she scheduled 2 she would need at least 4 hours.
If she can only have 1 customer per day over a 5 day week she will only be able to schedule 5 customers per week.
The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?
Answer:
5 sides
Step-by-step explanation:
A polygon includes the shape pentagon which has 5 sides.
If n are number of sides of a convex polygon, sum of its interior angles is 540 degrees.
As in given case sum of interior angles is 540°, we have
( n − 2 ) × 180 ° = 540°
When we solve this equation, we get 5 sides.
We can check this by plugging 5 into n, so the equation is
(5 - 2) x 180° = 540, this becomes...
3 x 180 = 540; this is correct so you answer is 5 sides.
What is the solution to this equation? 9^x– 1 = 2 Α. 1/2 B. 1 C. 2 D. -1/2
Answer:
for 9^(x)-1=2 the answer is 1/2 or .5
The solution to this equation 9ˣ - 1 = 2 is 1/2.
The correct option is A.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
An equation:
9ˣ - 1 = 2
Simplifying,
9ˣ = 3
3²ˣ = 3
Comparing, we get,
2x = 1
x = 1/2
Therefore, the solution is x = 1/2.
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sing the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answer:
x = 1 ± i √ 19
Step-by-step explanation:
x = 1 ± i √ 19
Find the angle between u=〈−2,5〉 and v=〈5,2〉 to the nearest tenth of a degree.
Answer:
angle is 1°
Step-by-step explanation:
[tex] \cos(u \: v \: ) = \frac{u \times v}{ |u| \times |v| } [/tex]
solve and check please help
Answer:
7) 24 8) 75 9) .9
Step-by-step explanation:
You multiply the denominatior with the whole number.
Answer:
x = 24 b = 75 s = 0.9
Step-by-step explanation:
7. Multiply both sides by 2 and you get x = 24
8. Multiply both sides by 5 and you get b = 75
9. Multiply both sides by 0.3 and you get s = 0.9
Part B
Calculate BD. Show your work. What does this length represent with regard to ∆ABC?
Answer:
4, It is the height of triangle ABC
Step-by-step explanation:
The easy way is to just count. But you can also use the Pythagorean theorem because BDC is a right triangle. First, use the distance formula to find BC. [tex]\sqrt{(5-2)^{2} +(-2-2)^2[/tex]=5
5^2=BD^2+DC^2
25=BD^2+9
BD=4
[tex]BD = \sqrt{89}[/tex],BD is the median of ∆ABC. A median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side. In ∆ABC, BD divides the triangle into two smaller triangles that are congruent.
The length of BD can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the triangle shown, the hypotenuse is BD, and the other two sides are AB and BC. So, we can use the Pythagorean Theorem to write the equation:
BD² = AB² + BC²
We are given that AB = 5 and BC = 8. So, we can plug these values into the equation to get:
BD² = 5² + 8² = 25 + 64 = 89
Taking the square root of both sides, we get:
[tex]BD = \sqrt{89}[/tex]
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What number gives a result of −1 when 9 is subtracted from the quotient of the number and 4?
Step-by-step explanation:
x/4 - 9 = -1
×/4 = -1 + 9
x/4 = 8
4 (x/4) = 4 (8)
x = 32
Answer:
32
Step-by-step explanation:
(Quotient of a and b = a/b)
Let the number = x
Quotient of the number and four: x/4
9 subtracted from the quotient of the number and four: x/4 - 9
-1 is the result of 9 subtracted from the quotient of the number and four: x/4 - 9 = -1
x/4 -9 = -1
x/4 = 8
x = 32
The volume of the polyhedron rounded to the nearest tenth is ______ cm3.
Answer:
62.9
Step-by-step explanation:
volume of a cylinder = nr^2h
22/7 x 5 x 2^2 = 62.90 cm^3
A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piece. Fond the length of each piece.
9514 1404 393
Answer:
13 ft86 ftStep-by-step explanation:
Let s represent the length of the short piece. Then the long piece is 6s+8, and the total length is ...
s +(6s+8) = 99
7s = 91 . . . . . . . . subtract 8, collect terms
s = 13 . . . . . . . . . divide by 7
99 -13 = 86 = 6(13)+8 . . . length of long piece
The short piece is 13 feet long; the long piece is 86 feet long.
20. An expression is shown.
2(x+3) - (x-1)
Create an equivalent expression without parentheses.
8
157+7
Answer:
What you have is correct:
8/15x+7
Step-by-step explanation:
6/5x+6-2/3x+1
18/15x-10/15x+6=
8/15x+7