Answer:
191 ft
Step-by-step explanation:
If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.
2*45.5ft + 2*50ft = 91ft + 100ft = 191ft
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 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
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
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:
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
How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1
Step-by-step explanation: Explanation:
y
−
2
=
3
(
x
−
1
)
3
x
−
y
=
3
−
2
=
1
x
1
3
+
y
−
1
=
1
is the intercept form of the equation.
Now we know the two points on the line as
(
1
3
,
0
)
,
(
0
,
−
1
)
By plotting the two points on a graph sheet and joining them gives the line required.
graph{3x - 1 [-10, 10, -5, 5]}
Hope this helps!!!
Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links
Answer:
-9
Step-by-step explanation:
This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).
f(x)=-9x+2
f’(x)=-9
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
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
4321 divided by 24 ?
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
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
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:
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].
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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]
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:
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.
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
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:
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.
Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]
Answer:
2
Step-by-step explanation:
(3-8)-(4-5-6)
(-5)-(-7)
-5+7
2
Using subtraction, the solution of the given equation is 2.
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
= [3 - 8] - [4 - 5 - 6]
= [-5] - [4 - 11]
= -5 - [-7]
= -5 + 7
= 2
Learn more about subtraction here
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Find the area of this trapezoid:
Answer:
Pls add the image
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
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
Help plz if u can i would really like it
Answer:
you would subtract thoose numbers
Step-by-step explanation:
A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladder from the same angle with the ground
Answer:
Similar triangles
H/7 = 15/9
H = 11.7 feet.
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 :)
Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +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]