Answers
Demitrius deposited $41.67, which was 60% of his paycheck.
Using this, we can make an equation.
If x is the amount of his paycheck,
[tex]0.6x=41.67[/tex]
[tex]x=69.45[/tex]
The value of the paycheck was $69.45.
Hope this helps.
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Related Questions
Which of the following units measures the volume of a solid? Can choice more than one answer. A) mL B) m³ C) cm³ D) L
Answers
Answer: B and C
explanation: The volume of solids are expressed in cubic measurements such as cubic centimeters (cm^3) or cubic meters (m^3).
How many times as large 12 is than 2
Answers
Answer:
12 is 6 times larger than 2
Step-by-step explanation:
2*6=12
Answer:
12 is 6 times larger than 2.
Step-by-step explanation:
12, 6, and 2 are all common. Let's say we multiply 2 by 6, we get 12. We divide 12 by 2, we get 6.
A _ is a constant, variable, or the product of a constant and variables.
Answers
Answer:
term
Step-by-step explanation:
term is a constant, variable, or the product of a constant and variables.
Term
An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.
An algebraic expression that is a number, a variable, or a product or quotient of numbers and variables is known as a term.
So,
A term is a constant, variable, or the product of a constant and variables.
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What are 3 careers where similarity is used
Answers
Answer:
Management Farming Construction
Step-by-step explanation:
[tex]-2(3 - 2x) = -6x + 8(x + 2)[/tex]
solve step by step
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]
Distribute -2 through the parentheses
Similarly, Distribute 8 through the parentheses
[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 6 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]
Add the numbers : 16 and 6
[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 11}}[/tex]
Hope I helped!
Best regards! :D
The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production. (Due to budgeting constraints, only one new picture can be undertaken at this time.) She feels that script 1 has a 70 percent chance of earning about $10,000,000 over the long run, but a 30 percent chance of losing $2,000,000. If this movie is successful, then a sequel will be produced, with an 80 percent chance of earning $5,000,000, but a 20 percent chance of losing $1,000,000. On the other hand, she feels that script 2 has a 60 percent chance of earning $12,000,000, but a 40 percent chance of losing $3,000,000. If successful, its sequel would have a 50 percent chance of earning $8,000,000, but a 50 percent chance of losing $4,000,000. Of course, in either case, if the original movie were a flop, then no sequel would be produced. What is the probability that script 1 will be a success, but its sequel will not?
Answers
Answer: $9,000,000
Step-by-step explanation:
Probability is simply defined as the chance or likelihood that an event is going to happen or occur.
The probability that script 1 will be a success, but its sequel will not is the success of script 1 added to the failure of its sequel.
The total payoff will simply be the sum of the individual layoffs of both the success and the failure. This will be:
= $10,000,000 + (- $1,000,000)
= $10,000,000 - $1,000,000
= $9,000,000
Using conditional probability, it is found that there is a 0.14 = 14% probability that script 1 will be a success, but its sequel will not.
Conditional Probability
[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: Script 1 is a sequel.Event B: It's sequel is not.Sequel 1 has a 70% probability of being a success, hence [tex]P(A) = 0.7[/tex].If it is a success, the sequel has a 80% probability of being a success, hence a 20% probability of being a failure, thus [tex]P(B|A) = 0.2[/tex]Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.7(0.2)[/tex]
[tex]P(A \cap B) = 0.14[/tex]
0.14 = 14% probability that script 1 will be a success, but its sequel will not.
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15. After 20 minutes at work, Ellen was able to finish 3 tasks. If she works an 8 hour day, how
many tasks should she expect to finish?
Answers
Answer:
72
Step-by-step explanation:
An hour is 60 minutes.
Multiply the amount of tasks to the amount of times 20 goes into 60 (60/20).
3×3= 9
Once you have the amount of tasks finished in an hour (9 tasks), you will multiply 8 hours by 9 tasks.
8×9= 72
The answer to the problem rhenbehejrjrjrhjfjf
Answers
Through my trials and tribulations I have decided that the answer is.
Y E S
True
How to express a vector as a product of its length and direction?
Answers
Answer:
So the way to express a vector( [tex]v = 2i - 2j - 2k[/tex]) as a product of its length and direction is
[tex]v = |v| u = \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]
Step-by-step explanation:
Generally a vector is expressed as a product of its length and direction using the formula below
[tex]v = |v|\cdot u[/tex]
Here v is the vector
|v| is its magnitude (length)
u is its unit vector (direction)
Now let take an example
Let
[tex]v = 2i - 2j - 2k[/tex]
The magnitude is mathematically evaluated as
[tex]|v| = \sqrt{ 2^2 + (-2)^2 + (-2)^2 }[/tex]
[tex]|v| = \sqrt{12}[/tex]
The unit vector is mathematically represented as
[tex]u = \frac{v}{|v|}[/tex]
[tex]u = \frac{ <2 , -2 , -2>}{\sqrt{12} }[/tex]
[tex]u = \frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} }[/tex]
So
[tex]v = |v| u = \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]
PLEASE HELP ASAP!!!!!!!!!!!!
Answers
Answer: D
Step-by-step explanation: becasue i did it
An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?
Answers
Answer:
Step-by-step explanation: 12 ur welcome
Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.
What is speed?Speed=Distance traveled/time
An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.
Given distance=1 km
time=1/12 min
We need to find speed.
Speed=Distance traveled/time
=1/(1/12)
=1*12/1
=12kilometerperminute
Therefore 12 kilometer per meter is the speed required.
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Please answer this ASAP please!!!
Amelia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) Based on the sample space, what is the probability of getting a total of 4? Just say a simple answer, please.
Answers
Answer:
1/12
Step-by-step explanation:
There are 36 possible outcomes
Out of the 36 there are only 3 where the sum is 4 that is (1,3),(2,2),(3,1)
Hence probability= 3/36 which equals to 1/12
Answer:
you just add them together
Determine the value of the variables a, b, and when simplifying and evaluating the expression. 3/^8 3/^4 =a^b= c
a=
b=
c=
Answers
Answer:
A=3
B=4
C=81
Step-by-step explanation:
Just did it
Answer:
a =
✔ 3
b =
✔ 4
c =
✔ 81
Lavender grew from 38 inches to 52 inches in one month; what was
the % increase in growth ?
Answers
3^3-5(6) simplify this equation
Answers
Answer:
-3
Step-by-step explanation:
27-30
Answer:
-3
Step-by-step explanation:
3³-5(6)
3*3*3-30
27-30
-3
Solve for x. Show steps.
7x - 17 = 4x + 1
-x + 5 = x - 11
5x + 8 = 7x + 2
Answers
Combine the same numbers and do the opposite of either subtraction or addition.
Then, multiply or divide with the coefficient.
Answer:
see below
Step-by-step explanation:
⇒ 7x - 17 = 4x + 1
combine like terms
7x - 4x = 1 + 17
3x = 18
x = 18/3
x = 6
⇒ -x + 5 = x - 11
combine like terms
- x - x = - 11 - 5
-2x = -16
x = 16 / 2
x = 8
⇒ 5x + 8 = 7x + 2
combine like terms
5x - 7x = 2 - 8
- 2x = - 6
x = 6 / 2
x = 3
Classify each sample as random, systematic, stratified, or cluster
1. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.
2. Every seventh customer entering a shopping mall is asked to select his or her favorite store.
3. Nursing supervisors are selected using random numbers in order to determine annual salaries.
4. Every hundredth hamburger manufactured is checked to determine its fat content.
5. Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year.
Answers
Answer:
(1) Cluster sample
(2) Systematic sample
(3) Random sample
(4) Systematic sample
(5) Stratified sample
Step-by-step explanation:
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
Stratified sampling is a kind of sampling in which whole-population is distributed into homogeneous subgroups before one takes a sample. These subgroups are called strata which is mutually exclusive or related.
In this process the population members cannot be excluded.
Cluster Sampling is a method to randomly select samples from a population that is too enormous for simple random sampling.
Using cluster sampling, the experimenter distributes the entire-population into distinct groups, called clusters. Then, a simple random sample of clusters is chosen from the population. Then the experimenter performs the analysis on data from the sampled clusters.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
Consider all the definitions of different types of samples.
(1) Cluster sample
(2) Systematic sample
(3) Random sample
(4) Systematic sample
(5) Stratified sample
Using sampling concepts, it is found that the classifications are:
1. Cluster
2. Systematic
3. Random
4. Systematic
5. Stratified
Samples are classified as:
Random: All the options into a hat and drawn some of them. Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.Item 1:
Teachers divided into groups according to their school, and all teachers are interview, hence Cluster sampling is used.
Item 2:
Every 7th customer, that is, every kth customer, hence Systematic sampling is used.
Item 3:
Random numbers, hence, Random sampling is used.
Item 4:
Every 100th customer, that is, every kth customer, hence Systematic sampling is used.
Item 5:
Four groups, then 10 for each group are selected, that is, a few members, hence Stratified sampling it used.
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Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with a $8,000 total annual operational cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? a. Korey will see an overall profit in his first year of business. b. Korey will see an overall profit in his second year of business. c. Korey will see an overall profit in his third year of business. d. Korey will see an overall profit in his fourth year of business.
Answers
Answer:
c. Korey will see an overall profit in his third year of business
Step-by-step explanation:
His cost for first year
= 12500+8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Third year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Korey will see an overall profit in his third year of business.
What is profit?The amount of money earned by any seller on the cost price is called the yield.
His cost for the first year
= 12500 + 8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Profit for Third-year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Therefore Korey will see an overall profit in his third year of business.
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You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?
Answers
To answer this question you need to convert each unit.
First, 1 dollar equal to 100 pennies. That mean the equation would be: 13,406,190 pennies x 1 dollar/100 pennies = 134,061.9 dollar
Each penny weight 4 grams and 1 lb equal to 453.592grams. Then the equation would be:
13,406,190 pennies x 4 grams/pennies x 1lb/453.592 grams= 118,222.45 lb
Answer:
congrats you just found 118,222.36 pounds of pennies worth $134,061.9
you should buy a house or car with 59 tons of pennies
find the exponential nation of 3125
Answers
Step-by-step explanation:
I hope this would be the right answer....Given that 4x - 2y < 8, solve for y. Put them in order from steps . plz help
Answers
Answer:
y > 2x - 4
Step-by-step explanation:
Step 1: Write out inequality
4x - 2y < 8
Step 2: Subtract 4x on both sides
-2y < -4x + 8
Step 3: Divide both sides by -2
y > 2x - 4
Simplify (X2/3) ^4/5
Answers
The answer to your questions is x8/15. Hope this helps!
Find the length of an arc of a circle with radius 18 cm if the arc subtends a central angle of 30°.
Answers
Answer: 9.42 cm.
Step-by-step explanation:
Length of arc is given by :-
[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.
As per given , we have
[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]
Then, the length of arc will be :
[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]
Hence, the length of arc is 9.42 cm.
The length of an arc of a circle with radius 18cm is; L = 9.426cm
Length of an arcThe length of an arc can be evaluated using the formula;
L = (∆/360) × 2πrHence, the length of the given arc is;
L = (30/360) × 2 × 3.142 × 18cmL = 9.426cmRead more on length of an arc;
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About half of the world’s population of 7.8 billion people live in urban areas. How many
people live in urban areas?
Answers
Simplify the given expression.
6•9^3=
Answers
Answer:
4,374
Step-by-step explanation: solve the exponent first then do the multiplication
Skkskskswks
................
Answers
Answer:
Skkskskswks....................
Step-by-step explanation:
???
Answer:
sksksksksksksksk.
Step-by-step explanation:
equals visco girl.
The area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answers
Answer: 258
Step-by-step explanation: 270-12=w
The width of the wall is 9 feet and length is 30 feet.
What is perimeter of a rectangle ?The perimeter of a rectangle is the sum of all the sides.
According to the given question the area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width.
Assuming the width of the rectangular wall to be x feet.
∴ From the given data length is 2x + 12 feet.
We know area of a rectangle is product of it's length and width.
So, { x × ( 2x + 12 ) } = 270.
2x² + 12x = 270.
2x² + 12x - 270 = 0
x² + 6x - 135 = 0
x² + 15x - 9x - 135 = 0
x(x + 15) - 9(x + 15) = 0
( x + 15 ) = 0 OR ( x+ 9 ) = 0
∴ x = -15 OR x = 9. ( we know length can note be negative )
So, Width of the rectangle is 9 feet and length is 30 feet.
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Solve for (4x+6)+(-x+2) please i need help
Answers
Answer:
3x - 8
Step-by-step explanation:
Step 1:
( 4x + 6 ) + ( - x + 2 )
Step 2:
4x - 6 + - x - 2
Step 3:
3x - 6 - 2
Answer:
3x - 8
Hope This Helps :)
Answer:
(3x+8)
Step-by-step explanation:
(4x+6)+(-x+2)
combine like terms
(4x+-x)+(6+2)
you would end up with
(3x+8)
Which is a factor of 5x2 − 15x − 20?
Answers
Answer:
x= -1, x=4
Step-by-step explanation:
5x²-15x-20
5x²-20x+5x-20=0
5x(x-4) +5(x-4)
(5x+5) (x-4) =0
5x=-5 or x=4
x= -5/5. or x=4
x= -1 or x=4
The sum of a number and 12
Answers
Answer:
the sum of 6+6 is 12
Step-by-step explanation:
so the sum of the number 6+6 is 12 plz like and rate