Answer:
0.5969 = 59.69% probability that it was a flight of airline A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Left on time.
Event B: From airline A.
Probability of a flight leaving on time:
81% of 48%(airline A).
61% of 26%(airline B)
40% of 26%(airline C). So
[tex]P(A) = 0.81*0.48 + 0.61*0.26 + 0.40*0.26 = 0.6514[/tex]
Probability of leaving on time and being from airline A:
81% of 48%. So
[tex]P(A \cap B) = 0.81*0.48 = 0.3888[/tex]
What is the probability that it was a flight of airline A?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3888}{0.6514} = 0.5969[/tex]
0.5969 = 59.69% probability that it was a flight of airline A
Find the distance between the two points in simplest radical form HELP
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]
[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]
[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36+25}[/tex]
[tex]d=\sqrt{61}[/tex]
Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.
what is x+54 +3x+28+90 I really need help
Answer:
4x+172
Step-by-step explanation:
x+54 +3x+28+90
Combine like terms
x+3x + 54+28+90
4x + 172
Answer:
[tex] \large \sf \fbox{4x - 172}[/tex]
Step-by-step explanation:
➛ x + 54 + 3 x + 28 + 90
combine like terms
➛ x + 3 x + 54 + 28 + 90
➛ 4 x + 172
simplify 2 X + 1
whole cube
Answer:
So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]
Step-by-step explanation:
Given question :
[tex](2x+1)^3[/tex]
Now,
Applying this formula
[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]
So,
[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]
Answer:
3x 0r 2x1
Step-by-step explanation:
1x1=
9x6 =
18×6=
54×6=
10x2=
Answer:
1x1=1
9x6 =54
18×6=108
54×6=324
10x2=20
Step-by-step explanation:
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
some banks charge a fee on savings account that are left inactive for an extended period of time. the equation y=5000(0.98)^x represents the value, u of one account that was left inactive for a period of x years. what is the y-intercept of this equation, and what does it represent?
a. 0.98 the percent of money in the account initially?
b. 0.98, the percent of money in the account after x years
c. 5000, the account of money in the account initially
d. 5000, the amount of money in the account after x years
Answer:
it gotta be d cause i went with my instinct.
Step-by-step explanation:
solve write it out.
How many solutions exist for the given equation?
1/2(x + 12) = 4x -1
•
zero
one
two
infinitely many
Answer:
one
[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]
2. My wife and I are racing around a 400m track going opposite directions. I am
running at 8 m/s and she has a head start of 50 meters running at 5m/s, how long
does it take for us to reach the same point.
In 2000, an estimated 7.7 x 10^7 spoke French as their first language and an estimated 1 x 10^8 people spoke German as their first language. In 2000, which language had more speakers?
Answer:
German
Step-by-step explanation:
Given :
Number of people who spoke French as first language in 2000 = 7.7 * 10^7 ; in standard form ;
7.7 * 10^7 = 7.7 * (10 * 10* 10 * 10* 10* 10 * 10) = 77,000,000 = 77 million
Number of people who spoke German as first language in 2000 = 1 * 10^8 ; in standard form ;
1 * 10^8 = 1 * (10 * 10* 10 * 10* 10* 10 * 10 * 10) = 100,000,000 = 100 million
German had more speakers
Which of the following sets represents the range of the diagram.
Answer:
{3, 5, 7}
Step-by-step explanation:
From our knowledge of mapping, the domain is mapped to a range as given in the diagram above, the first set given is the domain while the seet which the arrow points to is the range, therefore, in simple terms, the range of the diagram given is the set {3 5, 7}
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
The dot plot below shows 6 data points with a mean of 16. 12 13 14 15 16 20 What is the absolute deviation at 19? 03 04 7 8
Answer:
The absolute deviation at 19 is 3.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
|19-16|=3
subtract mean from expected value
You need 333 sticks of butter for every 242424 cookies you bake.
Complete the table using equivalent ratios.
Answer:
1/728
Step-by-step explanation:
333/242424 =
1/728
Free Branliest Quick and Correct!
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
What is the true meaning of absolute value?
Answer:
Change the value from negative to positive
Or
Change the value from positive to positive
Step-by-step explanation:
It is very simple
Any number's absolute value should be positive
Let's say absolute value of 3 - >answer is 3
But absolute value of - 3 - > is also 3
Hope you understood it.
Answer:
In math students think that the function just removes negative signs, and actually that is basically what happens...
BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...
If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...
forward one mile or backward one mile are both "one mile" just in different directions
Step-by-step explanation:
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
Pls help 12 points pls
Answer:
3/4
Step-by-step explanation:
Hi there!
There are 6 sections that are odd-numbered and there are 8 sections in total. Therefore, the probability that the pointer will land on an odd-numbered section is 6/8, or 3/4 when simplified.
I hope this helps!
1 What is the solution to the inequality
12x < 264?
A x > 22
B x < 22
C x < 252
D x > 252
Answer:
x < 22
Step-by-step explanation:
12x < 264
Divide each side by 12
12x/12 < 264/12
x < 22
Given that,
12x < 264
Not we can divide each side by 12,
→ 12x/12 < 264/12
→ x < 22
So, option (B) is correct answer.
Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|+4.
Answer:
its 9 plus 9 and equals 19.0
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
ADMC
Step-by-step explanation:
The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;
Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC
Hence the one that contains diameter with point M is line ADMC
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week
Answer:
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.
This means that [tex]\mu = 112, \sigma = 12[/tex]
What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?
This is the p-value of Z when X = 90. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 112}{12}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0336
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly selc 2000 people.
The researeher makes sure that the proportion of respondents from each state matches the propontion of each state's population to the US population
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people.
Then the researcher makes sure that everyone from each group answers the survey question.
a. Stratified Sampling
b. Systematic Sampling
c. Simple Random Sampling
d. Cluster Sampling
e. Convenience Sampling
Hint: Sampling Methods License Points possible: 1 This is attempt 1 of 1.
Answer:
a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
First 2000, so convenience.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
Every kth element, k = 1500, so systematic.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
Randomly selects 2000 people, so random sampling.
The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
Each element of the cluster is surveyed, so cluster sampling.
will mark as brainliest:
give the equation of the given graph
Answer:
Step-by-step explanation:
y = A sin(B(x + C)) + D
amplitude is A = (5 - -1)/2 = 3
period is 2π/B = 4 ==> B = .5π
phase shift is C (positive is to the left) = 0
vertical shift is D = 2
-------------------------
y = 3sin(.5πx) + 2
Answer:
Step-by-step explanation:
In the image you can see the amplitude is 6/2=3
also you can see that the curve is shifted upwards 2 units
regarding to the frequency of the function, we can notice the it has a period of 4
[tex]w=\frac{2\pi}{\Gamma}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
finally, the equation will be:
[tex]f(x)=2+3sin(\frac{\pi}{2}x)[/tex]
See the full equation on the attached image
35 is 40% of what
number?
Answer:
35 is 40% of 87.5
Step-by-step explanation:
[tex]\frac{40}{100}=\frac{35}{x}[/tex]
Cross multiply
[tex]40x=3500[/tex]
Divide both sides by 40
[tex]x=87.5[/tex]
Hope this helps
What is the slope of the line?
-3
Step-by-step explanation:
it is -3 because the line touches -3 on the y-intercept
What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+ 75x^4
9514 1404 393
Answer:
f(x) → ∞ as |x| → ∞
Step-by-step explanation:
The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.
f(x) → ∞ as |x| → ∞
REFERENCE: LESSON 8 TO 12.
1.
Simplify the ratios 52 : 39
(1 mark)
Answer:
2.
Simplify 4/16:23
(1 mark)
Answer:
(1 mark)
3.
Express the ratio 8 : 56 in the form 1:n
Answer:
(1 mark)
4.
Solve for the unknown in the given proportion.
Answer:
(1 mark)
5.
Express the ratio 40 cm: 5 m in the form m:n.
Answer:
Answer:
Step-by-step explanation:
1. 52:39
Divide both sides by 13:
= 4:3.
2. 4/16 : 23
= 1/4 : 23
= 1 :92.
3. 8:56
= 1:7.
4. ?
5. 40 cm 5 m
= 40 : 500
= 4:50
= 2:25.
will mark as brainliest!
y=acos(b(x-c))+d
give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx
