Answer:
[tex]P(A) = 0.50[/tex]
[tex]P(B') = 0.55[/tex]
[tex]P(A' U B') = 0.775[/tex]
[tex]P(A'B') = 0.275[/tex]
Step-by-step explanation:
Given
[tex]P(A\bar B) = 40\%[/tex] --- From outlet 1 alone
[tex]P(\bar A B) = 35\%[/tex] --- From outlet 2 alone
[tex]P(AB) = 10\%[/tex] --- From both
Solving (a): Buys from outlet 1;
This is represented as: P(A) and the solution is:
[tex]P(A) = P(A\bar B) + P(A B)[/tex]
[tex]P(A) = 40\% + 10\%[/tex]
[tex]P(A) = 50\%[/tex]
[tex]P(A) = 0.50[/tex]
Solving (b): Does not buy from outlet 2;
This is represented as: P(B') :
First, calculate the probability that the customer buys from 2
[tex]P(B) = P(\bar AB) + P(A B)[/tex]
[tex]P(B) = 35\% + 10\%[/tex]
[tex]P(B) = 45\%[/tex]
[tex]P(B) = 0.45[/tex]
Using the complement rule, we have:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(B') = 1 - 0.45[/tex]
[tex]P(B') = 0.55[/tex]
Solving (c): Does not buy from 1 or does not buy from 2
This is represented as: [tex]P(A' U B')[/tex]
And the solution is:
[tex]P(A' U B') = P(A') + P(B') - P(A'B')[/tex]
[tex]P(A' U B') = P(A') + P(B') - P(A') * P(B')[/tex]
Using complement rule:
[tex]P(A') = 1 - P(A)[/tex]
[tex]P(A') = 1 - 0.50[/tex]
[tex]P(A') = 0.50[/tex]
The equation becomes:
[tex]P(A' U B') = 0.50 + 0.55 - 0.50 * 0.55[/tex]
[tex]P(A' U B') = 0.775[/tex]
Solving (d): Does not buy from 1 or does not buy from 2
This is represented as:
[tex]P(A'B')[/tex]
And it is calculated as:
[tex]P(A'B') = P(A') * P(B)'[/tex]
[tex]P(A'B') = 0.50 * 0.55[/tex]
[tex]P(A'B') = 0.275[/tex]
please help me solve this problem with step by step explanation.
Answer:
Im not rally sure but maybe 5.71 , here is my explanation :
Step-by-step explanation:
Tan 55 =x/4
tan 55 = 1/42814
1/42814 = x /4
×=5.712592027 .
What's the value of x
(3x-5) and (x+10)
Multiple three hundred and seventy by forty three
Step-by-step explanation:
15910
hope it helps
thanks a lot
Solve for x
-8+6(-x-3)+4x
Answer:
-26 -2x
Step-by-step explanation:
-8+6(-x-3)+4x
Distribute
-8 -6x -18 +4x
Combine like terms
-8-18 -6x+4x
-26 -2x
Answer:
x- intercept(s): (−13,0)
Step-by-step explanation:
Which of the following situations describes a transformation of kinetic energy to potential energy?
OA a soccer player kicks a ball
OB
a roller coaster goes up an incline
C.
a light bulb is lit by a battery
OD
a marshmallow is toasted in a camp fire
Answer:
c
Step-by-step explanation:
If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).
Answer:
[tex]VYX=84.3in[/tex]
Step-by-step explanation:
Given
[tex]YV = 28in[/tex]
[tex]\angle WZX = 15^\circ[/tex]
See attachment
Required
Determine the length of [tex]VYX[/tex]
First, calculate the major angle VZX
[tex]\theta = \angle VZX = 360 - \angle WZX[/tex]
[tex]\theta = \angle VZX = 360 - 15[/tex]
[tex]\theta = \angle VZX = 345[/tex]
[tex]\theta = 345[/tex]
The length of arc VYX, is:
[tex]L=\frac{\theta}{360} * 2\pi r[/tex]
Where
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * YV[/tex]
[tex]r = \frac{1}{2} * 28[/tex]
[tex]r = 14[/tex]
So:
[tex]L=\frac{\theta}{360} * 2\pi r[/tex]
[tex]L=\frac{345}{360} * 2 * \frac{22}{7} *14[/tex]
[tex]L=\frac{345}{360} * 2 * 22 *2[/tex]
[tex]L=\frac{345* 2 * 22 *2}{360}[/tex]
[tex]L=\frac{30360}{360}[/tex]
[tex]L=84.3in[/tex]
Hence, the length of VYX is:
[tex]VYX=84.3in[/tex]
Find the missing angle according to the Triangle Sum Theorem.
Answer:
k = 140 degrees.
The missing INTERIOR angle is 40 degrees.
Step-by-step explanation:
The missing interior angle would be 40.
Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.
64+76+40 = 180
The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.
Exterior angle k = 64+76
k= 140
Every week, Marla’s mom buys 15 liters of water at the supermarket. How many milliliters of water is this?
15,000
1,500
150
1000
Answer:
it is 15,000
Step-by-step explanation:
15,000 because there is 1,000 milliliters in one liters and 15 liters = 15,000 milliliters
A group of students went on a field trip. The students were divided into 6 buses and each bus had less than 52 students. How many students went on the field trip?
Answer:
A maximum of 306
Step-by-step explanation:
You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306
Tell whether c = 3 is a solution of c + 7 = 10.
a) Yes
b) No
Answer:
a) Yes
Step-by-step explanation:
Because, 3+7=10
Answer: yes
Explanation: In this problem, to determine whether c = 3
is a solution to the equation, we substitute 3 in for c.
So we have (3) + 7 = 10.
Simplifying the left side of the equation, (3) + 7 is 10.
So we have 10 = 10 which is a true statement so our answer is yes.
Consider the following series. 1 5 1 10 1 15 1 20 1 25 Determine whether the series is convergent or divergent. Justify your answer. Converges; the series is a constant multiple geometric series. Converges; the limit of the terms, an, is 0 as n goes to infinity. Diverges; the limit of the terms, an, is not 0 as n goes to infinity. Diverges; the series is a constant multiple of the harmonic series.
Answer:
The series Diverges ; The series is a constant multiple of harmonic series
Step-by-step explanation:
The series :
1/5 + 1/10 + 1/15 + 1/20 + 1/25
The series can be expressed as :
a1 = 1 / 5*1
a2 = 1 / 5*2
a3 = 1 / 5*3
a4 = 1 / 5*4
a5 = 1 / 5*5
hence we can write a[tex]_{n}[/tex] as ; a
attached below is the remaining part of the solution
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90
Answer:
0.7(85+)-74.90
Step-by-step explanation:
Answer:
D - 0.7(85+)-74.90
Step-by-step explanation:
Got 100% on the quiz! Have a good day!! :)
compare 1/3 and 2/5?
Answer:
2/5 is bigger
5/15 and 6/15 (comparison)
Answer:
1/3>2/5
Step-by-step explanation:
Which one is greater 9/11 or 4/5
This is really easy please help
Answer:
9/11 = 45/55
4/5 = 44/55
Obviously, 45 is more than 44, so 9/11 is greater than 4/5.
Let me know if this helps!
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
274
Step-by-step explanation:
Hey There!
So if you didnt know the median is the middle number ( in value) of the set
So first we would like to arrange the numbers in order from least to greatest
187 , 199 , 211 , 250 , 298 , 331 , 347 , 362
Then we take the middle number(s)
if there is just one then that is the answer but if there is two than we add them together and divide that by 2
In this case there are two which would be 250 and 298
So we add them together
250+298=548
Then we just divide that by 2
[tex]\frac{548}{2} =274[/tex]
Therefore the median is 274
hope this helps :)
Step-by-step explanation:
l hope this answer is helpful to you
Find the arithmetic series a=2 d=5 n=20 find Sn
Step-by-step explanation:
Sn=n/2{2a+(n-1)d}
=10(4+95)
=10(99)
=990
IF U DONT KNOW ANSWER THEN DONT ANSWER SIMPLE!
A hotel has a square lobby. Management wants to reserve a smaller square area in stone to serve as the base of a new seating area. The side length of the seating area will be four meters less than the side length of the lobby, as shown below. After purchasing materials, the manager noticed that two times the area of the seating area was equal to 16 square meters less than the area of the entire lobby. Write and solve a system of equations to determine the dimensions of the whole lobby and the smaller seating area cutout. A. The lobby is 8 meters by 8 meters, and the seating area is 4 meters by 4 meters. B. The lobby is 10 meters by 10 meters, and the seating area is 6 meters by 6 meters. C. The lobby is 12 meters by 12 meters, and the seating area is 8 meters by 8 meters. D. The lobby is 6 meters by 6 meters, and the seating area is 4 meters by 4 meters.
Answer:
C
Step-by-step explanation:
Use a graph to figure this out it will be as easy as eating a cake then
Hope this helps
What is the factored form of this expression? 4x^2-12x+9
Answer:
(2x-3)^2
i hope its correct...
Step-by-step explanation:
Answer:
2x-3
Step-by-step explanation:
Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
12. Si R(x)=-5x2+x-2 y S(x)=-x - 3x, se
¿cuál es el resultado de R(x) + S(x) ?
Answer:
El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]
Step-by-step explanation:
Se dan las siguientes funciones
[tex]R(x) = -5x^2 + x - 2[/tex]
[tex]S(x) = -x^2 - 3x[/tex]
Cuál es el resultado de R(x) + S(x) ?
Se soman los fatores en comun. Entonces:
[tex]R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2[/tex]
El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]
*The rectangle has a perimeter of 38 meters.
*The length of the rectangle is 5 meters more
than the width.
What is the length and the width of the
rectangle?
Perimeter:
Length:
Answer:
Width of the rectangle = 7 meters
Length of the rectangle = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter of the rectangle = 38 meters
Width of the rectangle = w
Length of the rectangle = w + 5
Perimeter of a rectangle = 2(length + width)
38 = 2{(w + 5) + w}
38 = 2(w + 5 + w)
38 = 2(2w + 5)
38 = 4w + 10
38 - 10 = 4w
28 = 4w
w = 28/4
w = 7 meters
Width of the rectangle = w
= 7 meters
Length of the rectangle = w + 5
= 7 + 5
= 12 meters
1) How many triangles will be formed by 13 matchsticks?
2) How many matchsticks will be needed to form 7 triangles?
Given two terms of the arithmetic sequence a3=25 and a8=-10 find a1 and d
Answer:
Sorry I don’t know
Step-by-step explanation:
a3=25
a8=-10
first, a3=25 will be 25= a + (3-1)×d that is the formula of the Arithimetic function genrally→ an=a (which is the first term..that we wanted in this case) + n-1 (n is the order of wanted term..we already has the term which is 3) × d (the common ration).
So, 25=a+(3-1)×d
25=a+2d
25-2d=a rearrange
a= 25-2d
We will take this equation and subsitute it in the other equation which is -10=a+ (8-1)×d
so it will be -10=25-2d+(8-1)×d
-10= 25-2d+7d sum the d
-10= 25+5d
-10-25= 5d
-35=5d
-35/5=d
-7= d
Now that we have the d we can go back to the equation of a= 25-2d and know the value of a
a= 25-2×-7
a1=39
d=-7
HELP ASAP !!!!Tracey is saving each month for new tires for her car. She plans to save $60 each month. Which table shows the amount Tracey has saved over the last several months?
Can you show a picture of the table?
Answer:
theres no pic but im am 100% sure its 720
Step-by-step explanation
multiply 60 x 12 = 720 if im wrong its not my fault there is no pic
Prepare a graph with the X axis range from -300 to +100 °C and Y axis from 0 to 9 cm.
Answer: (Attached)
Graphic below is the answer to your question.
Find the area of a trapezoid with:
Base 1: 8
Base 2: 5
Height: 8
Area =
Answer:
52
Step-by-step explanation:
8+5=13
13x8=104
104/2=52 (divided)
Answer:
52
Step-by-step explanation:
I took the test
The high temperatures for a week are shown. 15°, 34°, 17°, 15°, 16°, 8° Which measure of center, mean or median, would BEST represent the data?
Hey there!
The mean would probably best represent the data.
This is because the mean of data is the average, which would show what the average temperature throughout the week was.
Have a super awesome day! :)
a ladder is leaning up against a building. the bottom of the ladder is 6 feet from the building. the top of the ladder reaches the wall at a height of 8 feet. how long is the ladder?
The length of the ladder is [tex]x = \sqrt{100} =10 feet[/tex].
To find out the length of the ladder leaning against the building given the following conditions; bottom of the ladder is 6 feet from the building, and the top of the ladder reaches the wall at a height of 8 feet, the Pythagorean theorem can be utilized.
Therefore the length of the ladder is approximately 10 feet.
The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
This can be expressed as:
[tex]c^2=a^2+b^2[/tex]
where c is the hypotenuse (the longest side of the triangle)
a and b are the other two sides
Given, the distance from the bottom of the ladder to the wall is 6 feet and the height from the ground to the top of the ladder is 8 feet.
Let the length of the ladder be x
According to the Pythagorean theorem:
[tex]x^2 = 6^2 + 8^2 x^2[/tex]
[tex]x^2 = 36 + 64x^2[/tex]
[tex]x^2 = 100[/tex]
Therefore the length of the ladder is [tex]x = \sqrt{100}= 10 feet[/tex].
For such more questions on length
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Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?
Answer: 1,356
Step-by-step explanation:
It is 1200 increased by 13%
(5x-6) = (2x+9)
7x=3
Answer:
5
Step-by-step explanation:
5x -6 = 2x +9
5x -2x = 9 +6
3x = 15
x = 5