Probability is a measure of how likely an event is to occur. write the probability of the following statements:
(a) This event is impossible: ______
(b) This event will occur more often than not, but is not extremely likely:___________
(c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:_________
(d) This event will occur for sure:_____________
Step-by-step explanation:
This is a probability related question, let the event be E
We know that the likelihood of an event happening is given as
Pr(E)=1
if an event will not occur the probability is
Pr(E)=0
a. This event is impossible: Pr(E)=0
b.This event will occur more often than not, but is not extremely likely:
Pr(E)=0<E>0.5
c.This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:
Pr(E)=0<E<0.5
d.This event will occur for sure: Pr(E)=0
Best way to solve this type of equation Ax+by=c
The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.
Quadratic equation
The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.
The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.
Hence, either of the three methods are good ways to solve such equation.
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...............................................................
Answer:
a) 53.33 miles per hour
b) 1.7 pages per minute
c)2.25 $ per avocado
Step-by-step explanation:
a) 320/6 = 53.33333
b) 68/40 = 1.7
c) 27 /12 = 2.25
Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
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Please help I’m not sure if my answer is correct!!!
Answer:
i would say it is GOOD JOB
Step-by-step explanation:
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
What is the measure of a dekaliter?
Answer: Ten liter, or one tenth of a hectoliter (2.6418 gallons liquid measure or 1.135 pecks dry measure): abbrev.dal.
Please help timed :( 30points
3x - y = -1
-3x -y = 5
x = y =
Answer:
Step-by-step explanation:
Step 1: Solve3x-y=-1 for y
3x-y=-1
3x-y+-3x=-1+-3x (add -3x to both sides)
-y=-3x-1
-y/-1=-3x-1/-1 (divide both sides by -1)
y=3x+1
Step 2: 3x+1 for y in -3x-y=5
-3x-y=5
-3x-(3x+1)=5
-6x-1=5 (simplify both sides of the equation)
-6x-1+1=5+1 (add 1 to both sides)
-6x=6
-6x/-6=6/-6 (divide both sides by -6)
x=-1
Step 4: Substitute -1 for x in y=3x+1
y=3x+1
y=(3)(-1)+1
y=-2
ANSWER: x=-1, and y=-2
A storage container is shaped like a rectangular prism. The volume of a container is 48 cubic ft. The area of the base of the containers 12 feet. What is the height of the container in feet?
A. 12=48h
B. V = (12)(48)
C. (12)(48) = h
D. 48 = 12h
what is question 4????
Answer:
2.2
Step-by-step explanation:
(1.85 x 2) - 1.50
...............
The balance of an investment account is $308 more than the balance 4 years ago. The current balance of the account is $4708. What was the balance 4 years ago?
Answer:
$4,400
Step-by-step explanation:
Key: B stands for balance.
b+308=4708
b=4,708-308
b=$4,400
55oz to ____ lb ____ o
What is the equation of the line perpendicular to y=1/2x+6 that passes through points 4,1
2) Ayanda wants to invest R200 000. The bank offers him 2 options for his
6 year investment.
Option 1: 12% Simple interest p.a.
Option 2: 9,5% Compound interest p.a.
4.2.1) Calculate the return on Ayanda's investment using Option 1.
●
●
4.2.2) Calculate the return on Ayanda's investment using Option 2.
4.2.3) Which option will render the most money?
Answer:
4.2.1) R140 000
4.2.2) R144 758.28
4.2.3) Option 2
Step-by-step explanation:
To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 12% = 0.12t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000 \cdot 0.12 \cdot 6\)
\(I=24000 \cdot 6\)
\(I=144000\)
Therefore, the return on Ayanda's investment using Option 1 is R144000.
\(\hrulefill\)
To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 9.5% = 0.095t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000(1+0.095)^6-200000\)
\(I=200000(1.095)^6-200000\)
\(I=200000(1.72379142...)-200000\)
\(I=344758.28426...-200000\)
\(I=144758.28426...\)
\(I=144758.28\)
Therefore, the return on Ayanda's investment using Option 2 is R144758.28.
\(\hrulefill\)
Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.
Question 2(Multiple Choice Worth 2 points)
(Multiplying Integers MC)
What is the product of (-25)(15)(-3)?
O 1,125
60
O-200
O-1,125
The product of the given values would be = 1,125. That is option A.
What is multiplication?Multiplication is defined as one of the major arithmetic operation along with others such as addition, subtraction and division which is used to to determine the product of two or more values.
The rule of multiplication is that
when a positive figure is multiplied by a positive figure, a positive value is obtained. When a negative figure multiplies a negative figure a positive value is obtained.Therefore;
= (-25)× (15) × (-3)
= -375 × -3
= 1,125.
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how do I solve this screen shot
Answer:
add me as a friend and give me thanks
Step-by-step explanation:
the answer is A for sure
If 8 Superscript y Baseline = 16 Superscript y + 2, what is the value of y?
Answer:
10. Where was the medical mission held? A. At Barangay Tatalon Marikina B. At Barangay Almanza Las Piñas City C. At Barangay Pamplona Las Piñas City D. At Barangay CAA BF INT'L Las Piñas City
Answer quick find the range of the given data set
Answer:
5/8
Step-by-step explanation:
The range is the largest number subtracted by the smallest number. In this data set, 1 1/4 is the largest, while 5/8 is the smallest.
Step #1. Simplify
1 1/4 - 5/8
= 5/4 - 5/8
= 10/8 - 5/8
= 5/8
Walmart was having a sale on video games. They offered a 15% discount on a game that was originally priced at $30. After the sale, the discounted price of the game was increased by 10%. What is the new price of the game after this increase?
Answer:
28.05$
Step-by-step explanation:
The game got a discount of 15%.
New price is (30$) ( 0.85 ) = 25.5$ (since the discount is 15% you only pay for the 85% of the original price)
Then an increase of 10%. this is:
New price: 25.5$ (1.10) = 28.05
New price is 28$ with 5 cents
-6x=-5(x-1)-x Thinking about solutions some more
The answer choice which best describes the solution of the given equation as represented above is; The equation has no solution.
Which is the best conclusion about the given equation?It follows from the task content that the answer choice which best reflects the solution of the equation be determined.
As evident in the task content; the given equation is;
-6x = -5 ( x - 1 ) - x
-6x = -5x + 5 - x
Therefore, we have that;
-6x = -6x + 5
Add 6x both sides of the equation so that we have;
-6x + 6x = 5
0 = 5......which does not hold true.
Hence, since 0 ≠ 5; it follows that the given equation has no solution.
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5. The sports store sold three times as many basketballs as footballs last month. If they sold
140 fewer footballs than basketballs, how many of each type of ball did they sell last
month?
Answer:
basketballs = 210 footballs = 70
Step-by-step explanation:
footballs =b
basketballs= 3b
if there ate 140 fewer footballs than basketballs it means that the difference between basketballs and footballs sold is 140
hence 3b - b = 140
2b= 140
b= 70
hence footballs are 70
while basketballs are 70×3 = 210
The cube of the product of 4 and a number
hi
if you call the number "n" you have : ( 4n)³
The cube formed by the product of 4 and a number is (4 * n)^3.
What are cubes?A number's third power, or the outcome of multiplying three occurrences of the number n together, is known as the cube In mathematics and algebra. A superscript 3 represents the cube of a number or any other mathematical expression.The name comes from the fact that the volume of a geometric cube is equal to the cube of its side length.According to our question ,
Let n be any number on any integer.The cube of the product of and any number will be = (4 * n)^3.Hence we can say that the cube formed by the product of 4 and a number is (4 * n)^3.
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The terminal side of θ passes through the point (8,−7).
What is the exact value of cosθ in simplified form?
Answer:
8√113 / 113
Step-by-step explanation:
Representing the information on a triangle :
From trigonometry :
Cos θ = Adjacent / hypotenus = AC / AB
AB = hypotenus :
Using Pythagoras :
AB² = AC² + BC²
AB² = 8² + (-7)²
AB² = 64 + 49
AB = √113
Cos θ = AC / AB = 8 / √113
RATIONALIZE :
8/√113 * √113/√113 = 8√113 / 113
Mar. 1) Egert invested $159,000 cash along with $22,300 in office equipment in the company.
The transactions of Egert's Company are entered in the general journal as follows:
General JournalDate Account Titles Debit Credit
Mar. 1 Cash $159,00
Office Equipment $22,300
Common stock $181,300
Mar. 2 Prepaid Rent $1,200
Cash $1,200
Mar. 3 Office equipment $3,300
Office supplies $1,580
Accounts Payable $4,880
Mar. 6 Cash $4,300
Service Revenue $4,300
Mar. 9 Accounts Receivable $7,800
Service Revenue $7,800
Mar. 12 Accounts Payable $4,800
Cash $4,800
Mar. 19 Prepaid Insurance $5,300
Cash $5,300
Mar. 22 Cash $4,700
Accounts Receivable $4,700
Mar. 25 Accounts Receivable $4,200
Service Revenue $4,200
Mar. 29 Dividends $5,400
Cash $5,400
Mar. 30 Office supplies $900
Accounts Payable $900
Mar. 31 Utility expenses $800
Cash $800
What is the general journal?The general journal is the first accounting record of a business transaction.
The general journal identifies the accounts involved in each transaction, specifying which will be debited or credited in the general ledger.
Transaction Analysis:Mar. 1 Cash $159,00 Office Equipment $22,300 Common stock $181,300
Mar. 2 Prepaid Rent $1,200 Cash $1,200
Mar. 3 Office equipment $3,300 Office supplies $1,580 Accounts Payable $4,880
Mar. 6 Cash $4,300 Service Revenue $4,300
Mar. 9 Accounts Receivable $7,800 Service Revenue $7,800
Mar. 12 Accounts Payable $4,800 Cash $4,800
Mar. 19 Prepaid Insurance $5,300 Cash $5,300
Mar. 22 Cash $4,700 Accounts Receivable $4,700
Mar. 25 Accounts Receivable $4,200 Service Revenue $4,200
Mar. 29 Dividends $5,400 Cash $5,400
Mar. 30 Office supplies $900 Accounts Payable $900
Mar. 31 Utility expenses $800 Cash $800
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Question Completion:1 Egert invested $159,00 cash along with $22,300 in office equipment in the company in exchange for common stock. 2 The company prepaid $1,200 cash for six months' rent for an office. The company's policy is to record prepaid expenses in balance sheet accounts. 3 The company made credit purchases of office equipment for $3,300 and office supplies for $1,580. Payment is due within 10 days. 6 The company completed services for a client and immediately received $4,300 cash. 9 The company completed a 7,800 project for a client, who must pay within 30 days. Mar. 12 The company paid $4,800 cash to settle the account payable created on March 3. Mar. 19 The company paid $5,300 cash for the premium on a 12-month insurance policy. The company's policy is to record prepaid expenses in balance sheet accounts. Mar. 22 The company received $4,700 cash as partial payment for the work completed on March 9. Mar. 25 The company completed work for another client for $4,200 on credit. Mar. 29 The company paid $5,400 cash in dividends. Mar. 30 The company purchased $900 of additional office supplies on credit. Mar. 31 The company paid $800 cash for this month's utility bill.
Enter the transactions in the general journal.
Ways to regroup and rename the number
680,000
Answer:
680,000
Step-by-step explanation:
680,000
Answer plz plz plz plz
Answer:
3
Step-by-step explanation
Q and R are already given to you so you just have to look
Use the formula for the cardinal number of the union of two sets to solve the problem.
Set A contains 6 elements, set B contains 13 elements, and 4 elements are common to sets A and B. How many elements are in ALB?
a. 14
B. 15
C. 16
D. 19
D. 19 elements are in ALB.
Where do you look for the AUB complement?| A | =6 and | B | = 13,
4 elements are common to sets A and B.
but | A ∪ B | ≠ 6 + 13.
Image search results for Set A has six components, set B has thirteen, and sets A and B share four elements.
ALB contains how many elements?A. 14 B. 15 C. 16 D. 19.The formula for A union B complement is (A U B)’ = A’ B’ or (A U B)c = Ac Bc, where or c represent the complement of a set. As one of De-Laws Morgan’s of Union of Sets, this formula of A union B complement is named after the mathematician De-Morgan. A U B (which denotes the union of two sets A and B) is a set that contains all of the components of A and B.
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