Answer:
5
4.5
Step-by-step explanation:
edge
A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts
Answer:
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert [tex]P(X)=0.28[/tex]
Percentage of audience in second concert [tex]P(Y)=0.42[/tex]
Percentage of audience in third concert [tex]P(Z)=0.30[/tex]
Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]
Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]
Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]
Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]
Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by
[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Therefore the probability that a randomly selected audient attended all the concerts
[tex]P(X\cap Y\cap Z)=0.05[/tex]
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?
Answer:
$192
Step-by-step explanation:
Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?
Answer:
20x - 21y + 14
1/5(150x - 80y + 50 -50x - 25y + 20)
30x -16y + 10 - 10x - 5y + 4
30x -10x -16y - 5y + 10 + 4
20x -21y + 14
Answer:
20x-21y+14
Step-by-step explanation:
add up like terms and divide them by 5
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
Hey morning help please thanks
Answer:
metaphor
Step-by-step explanation:
Answer:
Metaphor!
Step-by-step explanation:
Kites are described as "colorful fishes swimming in the sky".
Metaphors don't use like or as but still compare.
Find $m\angle1$ and $m\angle2$ .
Answer:
m<1 = 125°
m<2 = 55°
Step-by-step explanation:
Okay, so we're dealing with alternate interior angles and all that sorta stuff, so I'll try to explain it best I can, if I'm too confusing let me know, let's go:
So the angle labeled 125° and angle 1 are alternate interior angles, so they're equal (yes, we're ignoring the fact that that might not me right because the other line isn't straight, I don't have another solution okay) anyways, so that means that:
1 = 125°
Now we know what 1 and 2 are on the same plane or axis or something like that, so basically, 1 and 2 HAVE TO add up to 180°, so that means that:
125 + x = 180
And now we just have to do the inverse operations thing:
180 - 125 = 55
So, m<1 = 125° and m<2 = 55°
tell me if this is wrong so I can fix it
hope this helps:)
two angel measures in a triangle are 47 and 43. what type of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
Because 2 angles in a triangle is not equal, so the 3rd angle cannot be equal.
Answer:
Two angle measures in a triangle are 47 and 43 so the remaining angle is 90 .
so it is a right angled triangle.
Step-by-step explanation:
HELP!!!
Maria, an experienced shipping clerk, can fill a certain order in 14 hours. Jim, a new clerk, needs 17 hours to do the same job. Working together, how long will it take them to fill the order?
Answer:
i need help with this please help me Explain why the crossbreeding of bison and cattle is both a benefit and hindrance to conservation efforts aimed at protecting bison genetic diversity.
Step-by-step explanation:
what is the absolute value of 10?
Answer:
10
Step-by-step explanation:
abolute value= distance from zero 10 is 10 away from 0
Answer:
the answer is |10|
Step-by-step explanation:
absolute value is always positive
can u plz help me it’s for a test!! PLZ ANSWER 1 &2
Answer:
Step-by-step explanation:
number one is 10
number two is (c) they have the same median
Answer:
C/B
Step-by-step explanation:
test 1: 90 - 50 = 40
test 2: 100 - 40 = 60
60 - 40 = 20
test 1 is 60 and test 2 is 80
Where is the blue dot on the number line? 0 0 - 5 - 5 5 5 ? ?
The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)
What is the place value of the 3 in 4.737?
It's the hundredths place (not hundreds).
Answer:
The place value of the 3 would be " Hundredths "
Step-by-step explanation:
The 4 would be 1's the 7 by the decimal would be tenths. The 3 would be hundredths, followed by the last 7 being thousandths
Help plz if u can i would really like it
Answer:
you would subtract thoose numbers
Step-by-step explanation:
Which of the following functions have a domain of ( -infinity, infinity) and a range of
(-2, infinity)?
Check all that apply.
A. f(x) = 0.25^x- 2
B. f(x) = 0.25^x+2
c. f(x) = 3^x – 2
D. f(x) = 3^x +2
Answer:
It would be answers A and C
Step-by-step explanation:
Notice both end in negative 2, matching your range, so you can't get that correct using either B or D
The functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].
What is function?A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.
How to find function?We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).
Taking f(x)=[tex]0.25^{x}-2[/tex]
f(0)=1-2
=-1
f(1)=0.25-2
=-1.75
f(2)=0.50-2
=-1.50
f(-2)=1/0.50-2
=1-1/0.50
=0
So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.
Taking f(x)=[tex]0.25^{x}+2[/tex]
Because the above function is opposite of the first function so it behaves opposite as the function.
Taking f(x)=[tex]3^{x} -2[/tex]
f(0)=1-2
=-1
f(1)=3-2
=1
f(-2)=1/9-2
=(1-18)/9
=-17/9
=-1.8
This function also has domain (-∞,∞) and range (-2,∞) because the value of increases from -2 as the value of x increases.
Next function is opposite from the third function so it behaves opposite to third function
Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].
Learn more about function at https://brainly.com/question/10439235
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HELP ME PLEASE I AM STUCK
Answer:
-9.8 > -11.3, and -9.8 is located to the right of -11.3.
Step-by-step explanation:
On a number line, the larger value of numbers always increase towards the right side, becoming more positive.
Same, the numbers which have smaller values decrease towards the left.
The larger the negative number, the smaller the value it has.
my lil sis needs help asap
Answer:
Um... I'm guessing $14? Sorry If I'm wrong....
Step-by-step explanation:
Best of luck!
Have a nice day <3
( Srry I double checked and its acually 14)
Answer:
$14
Step-by-step explanation:
So Paul started off with twenty dollars. After he paid for his hat, he had only six dollars left. If you subtract 20 minus 6 you would get 14. Therefore he paid fourteen dollars for the hat.
A number cube has faces 1 through 6. How many of the number on the cube are composite?
A. 1
B. 2
C. 3
D. 4
Answer:
B) 2 numbers
Step-by-step explanation:
composite #'s: 4, 6
prime #'s: 2, 3, 5
neither composite nor prime: 1
Cómo saco el volumen de un cilindro?:(
Step-by-step explanation:
La fórmula para hacer este cálculo es muy sencilla, ya que el cilindro es una forma geométrica simple. Se trata de V = hπr2, lo que significa que hallaremos el volumen al tener la altura (h) y el radio (r). Los dos círculos son del mismo tamaño, así que puedes utilizar cualquiera de ellos como base
Hence factorize completely the expression
9x³y² - 4xy⁴
Step-by-step explanation:
[tex]9 {x}^{3} {y}^{2} - 4x {y}^{4} \\ = x {y}^{2} (9 {x}^{2} - 4 {y}^{2} )[/tex]
Suppose there are three routes from North Point to Boulder Creek, four routes from Boulder Creek to Beaver Dam, four routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Boulder Creek . Step 2: Choose a route from Boulder Creek to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and choices for step 3. Thus, the answer is . (b) How many routes from North Point to Star Lake bypass Beaver Dam?
Answer:
(a) 36 routes
(b) 6 routes
Step-by-step explanation:
Given
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]
[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]
[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]
Solving (a): From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] through [tex]Beaver\ Dam[/tex]
To do this, we consider the following routes;
[tex]North\ Point \to Boulder\ Creek \to Beaver\ Dam \to Star\ Lake[/tex]
Taking a pair of routes, we have:
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]
[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]
By multiplication route, we have:
[tex]Routes = 3 * 4 * 3[/tex]
[tex]Routes = 36[/tex]
(b) From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] bypass [tex]Beaver\ Dam[/tex]?
To do this, we consider the following routes
[tex]North\ Point \to Boulder\ Creek \to Star\ Lake[/tex]
Taking a pair of routes, we have:
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]
By multiplication rule, we have:
[tex]Routes = 3 * 2[/tex]
[tex]Routes = 6[/tex]
6. Simone was timing John, Johnny and
James to see who could hold their breath
the longest. John held his breath for 10
seconds, Johnny held his breath for 15
seconds and James for 25 seconds. For how
much longer than John and Johnny did
James hold his breath?
Answer:
hgyjhudhehd
Step-by-step explanation:
Mother combined 7/4 cups of pancake mix and 3/4 cups of water to make pancake butter if she uses 1/4 of a cup of battte to make each pancake
how many pacakes can johny make
Answer:
10
Step-by-step explanation:
add the 7/4 and 3/4 which is 2 1/2. then divide 2 1/2 by 1/4
If
the
mean of A and B is 20. The mean of B and c is 24 and the
mean of A,B,C is 18. what is the mean of
A and c?
Answer:
Mean of a and c is a+c/2=6+14/2=10
What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8
Answer:
4/1/7 ( 4 and 1 over 7)
Step-by-step explanation:
First add all the numbers
1+2+3+4+5+6+8= 29
Finally you divide the total by counting the numbers which you have add up
29÷7
= 4/1/7 ( 4 and 1 over 7)
Mark me as the brainiest answer
Answer:
Step-by-step explanation:
1. Mean
1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32
32/ how many numbers there are
32/ 8 . = 4
Mean = 4
1 2 3 3 4 5 6 8
3 2 1 1 0 1 2 4
3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14
14/how many numbers there are
14/8 = 7/4 or in mixed form 1 3/4
(2.4 x 10^4)(4.5 x 10^3)
2.4x104(4.5x103)
Simplifies to:
10.8x11000
=10.8x11000
Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit
Answer:
B) -35
Step-by-step explanation:
Write and solve an equation to determine the value of x.
Answer:
x = 12
Step-by-step explanation:
<CED = 180 - (9x-8)
= 180 - 9x +8
= 188 - 9x
Angle sum of triangle is 180
.'. (5x-10) + (50) + (180 - 9x +8) = 180
5x -10 + 50 + 188 -9x = 180
-4x = 180 + 10 - 50 - 188
-4x = -48
4x = 48
x = 12
The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?
Answer:
I don't recognize this problem, please make sure the input is complete.
Step-by-step explanation:
sry
Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?
THIS WORK IS DUE!!! I MARK BRAINLIEST! The following table shows the number of fire hydrants in each neighborhood overseen by Fire District 9. (LOOK AT IMAGE BELOW) If the mean of the data set is 15 fire hydrants, find the number of fire hydrants in Prairie Pass.
Answer:
10 fire hydrants
Step-by-step explanation:
(15)(5)= 17+15+21+12+x
x= 10
-------------------------
hope it helps...
have a great day!!
Answer:
10
Step-by-step explanation: