Answer:
2(7x-4)
Step-by-step explanation:
Answer:
2(7x-4)
Step-by-step explanation:
Factor out the gratest common divisor of the coefficients of 14x - 8
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.
Answer:
hh
Step-by-step explanation:
JHWKHvksdhvdsjKdsk
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
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Identify the coefficients: -3h - 2h + 6h +9
Answer:
its -3h,-2h,6h
Step-by-step explanation:
hope i helped
Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.
Answer:
The answer to this question would depend on how many teachers are available in the day care center.
If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;
2, 4, 13, 26, 52
If there are 2 teachers, each teacher will have 26 children
If there are 4 teachers, each teacher will have 13 children
If there are 13 teachers, each teacher will have 4 children
If there are 26 teachers, each teacher will have 2 children
If there are 56 teachers, each teacher will have 1 child
I need help !!!!!!!
Given , KM = 22
Then JL =
This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,
KM = JL ( the diagonals in an isosceles trapezoid are congruent )
22 = JL
JL = 22
Therefore , JL = 22 .
Solution (6) :Given , DF = 8.7
Then , EG =
Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,
DF = EG ( the diagonals in an isosceles trapezoid are congruent )
8.7 = EG
EG = 8.7
Therefore , EG = 8.7 .
If A= (-1,-3) and B= (11,-8) what is the length of AB?
Answer:
AB is 13
Step-by-step explanation
Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid
ounces of volume. Express this density in ounces per liter. Round your answer to the
nearest whole number.
Answer:
701 ounces per liter
Step-by-step explanation:
it's from delta math
The required density in ounces per liter is 140 onces per liter.
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.
Volume is defined as the ratio of the mass of an object to its density.
As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter
Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.
Thus, the required density in ounces per liter is s140 ounces per liter.
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Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48
Answer:
your new should be c $20
The final cost is $30.
Option C is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The original price of the coat = $50
Discount = 40%
Now,
The final cost.
= (100 - 40)% of 50
= 60% x 50
= 60/100 x 50
= $30
Thus,
The final cost is $30.
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Find each value for the geometry triangles below
Answer:
14. x=18
Step-by-step explanation:
For 14 you can see that all the angles must add up to 180.
Setup the equation 5x+2x+x=180 and solve for x
For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.
What is the standard form of 3.457
Answer:
3.457 is already in standard form.
Step-by-step explanation:
Name all rays with endpoint E
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
For more information about vector,
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What is the distance from the origin to point P graphed on the complex plane below?
helpppppppppppppppppp
how much was the second one?
Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?
Answer:
4 of the conspiracy theories were true
Step-by-step explanation:
Percentages
Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.
25% of 16 is 25 * 16 / 100 =400 / 100 = 4
Thus, 4 of the conspiracy theories were true
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
speed = distance over time ; 1 mile = 1609 meters.
Answer:
10.4 meters per second i think?
Step-by-step explanation:
How many proportional relationships are shown in the coordinate plane below? Please answer quick
Answer:
The answer is 1
Step-by-step explanation:
There is 1 proportional relationship in the graph
The set {1,2,3,4,...} is called the set of
This is an example of a finite set
I hope this is the answer you're looking for :)
Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.
Answer: $4,201
Step-by-step explanation: 4,501 - 300 = 4,201
Answer:
d+300=4501
Step-by-step explanation:
Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.
4501-300=4201
Period of y=2tan (2x+90) -1
What is 6√2⋅√11−2√22 expressed in simplified form?
Hope this help you!!! :))
What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?
What is the value of x in this equatain x/2 - x = x/4 + 6
Answer:
x=-8
Step-by-step explanation:
What is the value of p?
p+2−4=14
Drag and drop the correct answer in the box.
p = Response area
Answer: p=16
Step-by-step explanation:
It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?
Answer: 3 hours and 15 minutes
Step-by-step explanation:
Answer:
Time taken by Rahm to write the essay and finish the science project = 12.5 hours
Step-by-step explanation:
Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.
Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours
Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it
Answer:
yes
Step-by-step explanation:
Answer:
thank you
Step-by-step explanation:
:)
Write each phrase as an expression.
Double the sum of x and 4.
your answer should be 2(x+4)