Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
[tex]P(X_1) = 0.833[/tex]
2nd Question
[tex]P(X_2) = 0.938[/tex]
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is [tex]P(AT) = 0.8[/tex]
The probability of flight that depart on time and arrive on time is [tex]P(DT\ |\ AT) = 0.75[/tex]
In the first question the flight is departed on time so the probability that it will arrive on time is
[tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]
substituting values
[tex]P(X_1) = \frac{0.75}{0.9}[/tex]
[tex]P(X_1) = 0.833[/tex]
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
[tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]
substituting values
[tex]P(X_2) = \frac{0.75}{0.8}[/tex]
[tex]P(X_2) = 0.938[/tex]
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
Find all the missing angle measures. Remember you cannot assume right angles of diameters. Also think about how many degrees are in a triangle. Given: PA and BD are tangents, mCR=18*, mAC=70*, mBE=130*, and mBR=80*. What are angles 1-15
.
this is answer ok? ok :) leleelellelelelelelelel
For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C of F = five-ninths (F minus 32) . What does C(F) represent?
Answer:
The answer is below
Step-by-step explanation:
A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).
C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.
Find the fourth term in the sequence defined by the following recursive formula.
t1 = 5
tn = 3tn-1 - 12
1) -75
O 2 3
3) -3
4) -21
Answer
Part 1
Step-by-step explanation:
T2=3(5)-12=3
T3=-3
T4=-21
T5=-75
PLEASE HELP: ABCD is a parallelogram. If m DAB=105, then what is m BCD
Answer:
[tex]\boxed{105}[/tex]
Step-by-step explanation:
∠DAB = ∠BAC = 105 degrees
This is because opposite angles of a parallelogram are congruent.
Answer:
105
Step-by-step explanation:
∠DAB = ∠BAC = 105
Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ?
Work Shown:
908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.
While 67 rounds to 100, for similar reasoning as above.
Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.
Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.
Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.
HELP IMA GIVE BRAINLY AND A LIKE
Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.
The number of squares that are required to fill a rectangle of 512 cm by 108 cm, if each square of length 8 cm is _____________. a. 838 b. 864 c. 752 d. 440
Answer:
864
Step-by-step explanation:
512÷8=64
108÷8=13.5
64×13.5=864
Answer:
b) 864 squares
Step-by-step explanation:
A(rectangle) = 512cm x 108cm = 55296 cm²
A(square) = 8cm x 8cm = 64 cm²
Ar/As = 55296cm²/64cm² = 864 squares
Solve the equation below algebraically for the exact value of x. 6 − 23(x + 5) = 4x
Answer:
See below.
Step-by-step explanation:
6 - 23(x+5) = 4x
First, distribute.
6 - 23x - 115 = 4x
Reorder the terms.
6 - 115 - 23x = 4x
Subtract.
-109 -23x = 4x
Add 23x to both sides.
-109 = 27x
Divide by 27.
x = -109/27 (This cannot be simplified)
Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Answer:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
Answer:
3x^2 -2x -3
Step-by-step explanation:
Combine like terms
3-4x+8x^2-6+2x-5x^2
Put the numbers that are squared in the front
8x^2 -5x^2 =3x^2
Put the numbers with x only next
-4x + 2x= -2x
Then the normal numbers
3-6=-3
Put them together in simplified form of the equation
Thus your answer is 3x^2 - 2x -3
Hope this helps please mark brainliest!
What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2
Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Answer: " f⁻¹(x) = (x-1)/2 "; or, write as:
___________________________________
" f⁻¹(x) = (x/2) - (1/2) " .
___________________________________
Step-by-step explanation:
___________________________________
Given: f(x) = 2x + 1 ; Find the inverse:
___________________________________
1) Rewrite as y = 2x + 1 ;
2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:
x = 2y + 1 ;
3) Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :
x = 2y + 1 :
Subtract "1" from each side of the equation:
x - 1 = 2y + 1 - 1 ;
to get:
x - 1 = 2y ;
___________________________________
↔ Rewrite as :
2y = x - 1 ;
Now, divide each side of the equation by "2" ;
to isolate "y" on the left-hand side of the equation;
& to solve in terms of "y":
___________________________________
2y / 2 = (x-1)/2 ;
___________________________________
to get:
y = (x-1)/2 ;
or; write as: y = (x/2) - (1/2);
___________________________________
Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):
___________________________________
f⁻¹(x) = (x-1)/2 ; or, write as:
___________________________________
f⁻¹(x) = (x/2) - (1/2) .
___________________________________
Hope this is helpful to you!
Best wishes!
___________________________________
Steve washed 15 cars in 3 hours. How many cars can he wash in 7 hours?
Answer:35 cars in 7 hours.
Step-by-step explanation:15/3=5 per hour. 5x7=35.
Answer:
35 cars in 7 hrs
Step-by-step explanation:
Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.
In 7 hrs he can wash
5 cars
---------- * 7 hrs = 35 cars in 7 hrs
hr
I need help with this what is the answer
Answer:
5
Step-by-step explanation:
if u substitute the x's then u can see that it makes sense
ex. 5(1)+5 = 10 true
ex. 5(5)=5 = 30 true
hope this helps
Will give brainliest.
Answer:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8
4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)
Answer: Associative Property: (40+(12+18)+27. Evaluate: 97
What is the volume of the cone with a diameter of 4ft and height 4ft round to the nearest cubic foot
Answer:
67
Step - Step - Explanation
Please sb help and write it down on paper then send a pic❤️
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
simplify
[tex] \frac{3x - 12x {y}^{2} }{6 - 3y - 18 {y}^{2} } [/tex]
Answer:
[tex]\dfrac{2xy+x}{3y+2}[/tex]
Step-by-step explanation:
Factor numerator and denominator and cancel common factors.
[tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]
Melanie began studying a sample of the chemical element einsteinium-253 which naturally loses its mass over time. The relationship between the elapsed time, t, in days, since Melanie started studying the sample, and the total mass remaining in the sample, M(t), in micrograms, is modeled by the following function: M(t)=169⋅(0.96)^t. How much percent does the chemical element lose weight by everyday?
Answer:
The chemical element loses 4% of its weight everyday
Step-by-step explanation:
Here, we are interested in knowing the percentage weight loss of the chemical each day.
The key to answering this is looking at the expression inside the bracket.
We can express M(t) = 169•(0.96)^t as
M(t) = 169•(1-0.04)^t
So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here
Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%
Answer:
0.96
Step-by-step explanation:
The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.
The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.
Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.
what are the soultions of 3(x-4) (2x-3)= 0 check all
Answer:
{3/2, 4}
Step-by-step explanation:
Set x - 4 = 0 and solve for x: x = 4 is a solution.
Seet 2x - 3 = 0 and solve for x: 3/2 is another solution.
Please help me ima give BRAINLIST
Answer:
53
Step-by-step explanation:
We know the first term and common difference so we can write the explicit formula. The formula is:
aₙ = a₁ + (n - 1)d
aₙ = 8 + (n - 1) * 3
aₙ = 3n + 5
This means that a₁₆ = 3 * 16 + 5 = 53
by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,
A16=A1 + (n-1) d
A16=8 + (16-1) (3)
A16 = 53
I hope I helped! Be safe!
The number or expression in a power that is multiplied by itself?
Answer:
the base???
Step-by-step explanation:
Answer:
Exponent
Step-by-step explanation:
An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.
HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.
Answer:
Area of sphere = 576 pi ft^2
Volume of sphere = 2,304 pi ft^3
Step-by-step explanation:
Radius of great circles are the same as radius of the sphere
So let’s calculate the radius of the sphere from the area given;
Mathematically;
pi * r^2 = 144pi
r^2 = 144
r = square root of 144
r = 12 ft
Volume of sphere = 4/3 * pi * r^3
= 4/3 * pi * 12^3 = 2,304 pi ft^3
Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2
Which linear inequality is represented by the graph?
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.
And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,
So we can cross out answer choices C. and D.
And the slope is 1/2 because that’s how far away each points are from each other.
So the inequality is y ≤ 1/2x + 3
Look at the image below.
Please answer this question in two minutes
Answer:
FGH and BCD
it's obvious.
no common lines between them
please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)
1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
Let the number be x.
1/3 × 12 = 2/3 × x
Multiply.
12/3 = 2/3x
4 = 2/3x
Multiply both sides by 3/2.
4 × 3/2 = x
12/2 = x
x= 6
Answer:
1/3 of 12 = 2/3 of 6
Step-by-step explanation:
1/3 · 12 = 2/3 · x
12/3 = 2x/3
Multiply 3 on both sides.
12 = 2x
12 ÷ 2 = x
6 = x
x + y + 5) and (2x – 2y – 3)
Step-by-step explanation:
Since your question is incomplete, I have given you two different options based on your incomplete question.
Hope you understand this.
HAVE A GOOD DAY!
PLEASE HELP ME! IM REALLY CONFUSED!
What is the product?
Answer:
It's (B)
Step-by-step explanation:
Geraldo is driving 504 miles to his grandparents’ house for the holidays. So far he has driven 21 miles in 20.3 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.
Answer: about 5 hours and 3 min
Step-by-step explanation:
Answer:
about 8 hours and 7 minutes
Step-by-step explanation:
have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.