Answer:
X = 'is the athlete injured' (X in {0,1})
Y = 'the athlete wins' (Y in {0,1})
P(Y=1|X=0) = 0.75
P(Y=1|X=1) = 0.15
P(Y=1) = 0.51
We are looking for P(X=1) - P(Y=1) = P(Y=1|X=0)*(1-P(X=1)) + P(Y=1|X=1)*P(X=1)
The above equation should provide you with the answer 0.4!
Step-by-step explanation:
PLEASE HELP 100 POINTS!! Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate and show ur work.
Answer: 100
Step-by-step explanation:
Given f (x) = 4x + 3 – 2, what is f –1(x)?
f –1(x) = log4(x – 3) + 2
f –1(x) = log4(x + 3) – 2
f –1(x) = log4(x – 2) + 3
f –1(x) = log4(x + 2) – 3
The inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3
How to determine the inverse function?The function is given as:
f(x) = 4^(x + 3) -2
Rewrite as:
y = 4^(x + 3) -2
Swap x and y
x = 4^(y + 3) -2
Add 2 to both sides
x + 2 = 4^(y + 3) -2 + 2
This gives
x + 2 = 4^(y + 3)
Take the logarithm of both sides
log(x + 2)= log(4)^(y + 3)
Apply the base rule of logarithm
log(x + 2)= (y + 3)log(4)
Divide both sides by log(4)
log(x + 2)/log(4) = y + 3
Apply the change of base rule of logarithm
log₄(x + 2) = y + 3
Subtract 3 from both sides
log₄(x + 2) - 3 = y + 3 - 3
Evaluate the difference
log₄(x + 2) - 3 = y
Rewrite as:
y = log₄(x + 2) - 3
Rewrite as:
f-1(x) = log₄(x + 2) - 3
Hence, the inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3
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please help me! i’m really confused on this because i keep getting -5 outside the thing
Answer: D.
Step-by-step explanation: First you find the common factor, which is 5x³y. Then you write in parenthesis what's left over from each term. So the answer should look like: 5x³y(-3x⁵-4z+9).
solve the equation. y/8 = 5
y=?
Answer:
y = 40
Step-by-step explanation:
y/8 = 5
———————————————————
Multiply both sides by 8:
8y/8 = 5 * 8
———————————————————
Simplify:
y = 40
Hope that helps! :)
Answer:
Y = 40
Step-by-step explanation:
Step 1:
y/8 = 5
Bring 8 to the right side changing its arithmetic sign to multiply.
Step 2:
y = 5 x 8
Now multiply 5 by 8 to get the answer.
Step 3:
y = 40
Therefore, y is equal to 40.
What is the current yield on a 3 year bond with 10% annual coupons, a par value of 100, and a current price of 107.87?
The current yield of the bond is 9.27%.
What is current yield?
Current yield is the bond rate of return computed as the annual coupon divided by the current price of the bond
The annual coupon is the coupon rate of 10% multiplied by the bond's par value of 100
annual coupon=10%*100
annual coupon=10
current bond price=107.87
current yield=annual coupon/current bond price
current yield=10/107.87
current yield=9.27%
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Arnez Company’s annual accounting period ends on December 31. The following information concerns the adjusting entries to be recorded as of that date. The Office Supplies account started the year with a $3,850 balance. During the year, the company purchased supplies for $15,901, which was added to the Office Supplies account. The inventory of supplies available at December 31 totaled $3,388. The Prepaid Insurance account had a $27,744 debit balance at December 31 before adjusting for the costs of any expired coverage for the year. An analysis of prepaid insurance shows that $20,004 of unexpired insurance coverage remains at year-end. The company has 15 employees, who earn a total of $1,800 in salaries each working day. They are paid each Monday for their work in the five-day workweek ending on the previous Friday. Assume that December 31 is a Tuesday, and all 15 employees worked the first two days of that week. Because New Year’s Day is a paid holiday, they will be paid salaries for five full days on Monday, January 6 of next year. The company purchased a building at the beginning of this year. It cost $725,000 and is expected to have a $45,000 salvage value at the end of its predicted 25-year life. Annual depreciation is $27,200. Since the company is not large enough to occupy the entire building it owns, it rented space to a tenant at $3,400 per month, starting on November 1. The rent was paid on time on November 1, and the amount received was credited to Rent Revenue. However, the tenant has not paid the December rent. The company has worked out an agreement with the tenant, who has promised to pay both December and January rent in full on January 31. On November 1, the company rented space to another tenant for $3,080 per month. The tenant paid five months' rent in advance on that date. The payment was recorded with a credit to the Unearned Revenue account. Assume no other adjusting entries are made during the year. Required: 1. Use the information to prepare adjusting entries as of December 31. 2. Prepare journal entries to record the first subsequent cash transaction in January of the next year for parts c and e.
1. The preparation of the adjusting entries as of December 31 for Arnez Company is as follows:
Adjusting Journal Entries:1. Debit Office Supplies Expenses $16,363
Credit Office Supplies $16.363
2. Debit Insurance Expenses $7,740
Credit Prepaid Insurance $7,740
3. Debit Salaries Expenses $54,000
Credit Salaries Payable $54,000
4. Debit Rent Receivable $3,400
Credit Rent Revenue $3,400
5. Debit Unearned Rent Revenue $6,160
Credit Rent Revenue $6,160
2. The preparation of the journal entries to record the first subsequent cash transactions in January of the next year for Arnez Company is as follows:
Journal Entries:Debit Salaries Payable $54,000
Credit Cash $54,000
Debit Cash $6,800
Credit Rent Receivable $3,400
Credit Rent Revenue $3,400
Adjusting Transaction Analysis:1. Office Supplies Expenses $16,363 Office Supplies $16.363 ($3,850 + $15,901 - $3,388)
2. Insurance Expenses $7,740 Prepaid Insurance $7,740 ($27,744 - $20,004)
3. Salaries Expenses $54,000 Salaries Payable $54,000 ($1,800 x 15 x 2)
4. Rent Receivable $3,400 Rent Revenue $3,400
5. Unearned Rent Revenue $6,160 Rent Revenue $6,160 ($3,080 x 2)
January Transactions:Salaries Payable $54,000 Cash $54,000
Cash $6,800 Rent Receivable $3,400 Rent Revenue $3,400
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A summer camp needed
1,148 popsicles. Boxes of
popsicles were sold with
8 in each. How many
boxes did they have to
buy to have enough
popsicles? How many
were left over?
Answer:
144 boxes, 4 popsicles left over
Step-by-step explanation:
# of boxes and the remainder: 1148/8 = 143 boxes 4 popsicles left over
Since they need to buy full boxes we add 1 to 143 = 144 boxes
A full box is 8 and they only need 4 more so they have 4 left over.
1. Determine the measure of angle B.
B
30
A
64
51
Answer: 51.4°
Step-by-step explanation:
Use law of cosines:
(because you are trying to find angle B, you need to use Cos B)
Cos B = c² + a²-b²/ 2ca
Then, plug in your numbers:
Cos B = 30²+64²-51²/ 2(30)(64)
Simplify:
Cos B = 0.6237
Next, to get rid of Cos B, so that we have just B, you need to do the Arccosine or 0.6237:
B = arccosine (0.6237)
Which gets you: 51.4°
The measure of angle B is 51.41 degrees after applying the cos law of the triangle.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have given a triangle in the figure:
To find the measure of the angle B
We can apply cos law:
c² = a² + b² - 2ab cosB
The a, b, and c represents the side lengths of the triangle and the measures are:
a = 30
b = 64
c = 51
51² = 30² + 64² - 2(30)(64) cosB
3840CosB = 4996 - 2601
3840CosB = 2395
CosB = 2395/3840
CosB = 0.623
B = Cos⁻¹(0.623)
B = 51.41 degrees
Thus, the measure of angle B is 51.41 degrees after applying the cos law of the triangle.
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there were 936,795 bankruptcy filings in 2018. If there were 310,061 chapter 13 filings, what percent were not chapter 13
66.90% of the total bankruptcy fillings are not chapter 13 fillings.
What is bankruptcy?
This is a situation where the management of a company declares that it could no longer pay its debt obligations as it does have the cash resources to do so.
In this case, the total number of bankruptcy fillings is 936,795, out of which 310,061 are chapter 13 filings
fillings that were not chapter 13=936,795-310,061
fillings that were not chapter 13=626,734
fillings that were not chapter 13 as % of total fillings=626,734/936,795
fillings that were not chapter 13 as % of total fillings=66.90%
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483,800,000 place value of 4
Answer:
hundred million is the place value of 4 in 483800000
need help with this!
Answer:
1.The slope intercept- form of the function is:
y = x -2
2.The predicted length of the vine after 53 days is 51 cm.
Step-by-step explanation:
The slope is the [tex]\frac{change in length}{change in days}[/tex]
In the table, every time that the length increased by 5, the days also increased by 5. 5/5 = 1
Now we have to find the y-intercept, we can use the slope and one of the points that we know to do this. Let's use the first point (5,3). This is in the form (x,y).
y = mx + b
3 = (1)(5) + b
3 = 5 + b Subtract both sides by 5
-2 = b Now we can write the equation
y = mx + b
y = x -2. Plug 53 in for x and you will find your second answer.
y = 53 - 2
y = 51
1. The function's slope intercept form is y = x -2.
2. The vine should be 51 cm long in length after 53 days.
Determining the Slope Intercept Form:
The slope is given as,
m = (Change in length) / (Change in days)
In the table, it can be seen that,
The days climbed by 5 for every 5 that the length did as well [10-5 = 8-3 = 5].
∴ Slope, m =5/5 = 1
We may use the slope and one of the points we are familiar with to help us find the y-intercept. Utilizing the first point (5,3), this is how it looks for the point (x, y),
y = mx + c ..... (1)
3 = (1)(5) + c
3 = 5 + c
Subtract 5 from both sides to get c.
c = -2
Hence, from (1), the slope intercept form is given as,
y = x - 2 ...... (2)
Predicting the Vine Length:
Since x represents the number of days, put x = 53 in equation (2) to predict the vine length after 53 days.
y = (53) -2
y = 51 cm
Thus, the length of vine after 53 days would be 51 cm.
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If P(En F) = 0.036, P(E|F) = 0.09, and P(F|E) = 0.1, then (a) P(E) = (b) P(F) = = (c) P(EUF) (d) Are the events E and Findependent? =
The events E and F are not independent
How to determine the probabilities?The given parameters are:
P(E n F) = 0.036
P(E|F) = 0.09
P(F|E) = 0.1
To calculate P(E), we use:
P(F|E) = P(E n F)/P(E)
This gives
P(E) = P(E n F)/P(F|E)
So, we have:
P(E) = 0.036/0.1
Evaluate
P(E) = 0.36
To calculate P(F), we use:
P(E|F) = P(E n F)/P(F)
This gives
P(F) = P(E n F)/P(E|F)
So, we have:
P(F) = 0.036/0.09
Evaluate
P(F) = 0.4
To calculate P(E U F), we use
P(E U F) = P(E) + P(F) - P(E n F)
So, we have:
P(E U F) = 0.36 + 0.4 - 0.036
Evaluate
P(E U F) = 0.724
The events E and F are independent if
P(E n F) = P(E) * P(F)
This gives
0.036 = 0.36 * 0.4
Evaluate
0.036 = 0.144 --- false
Hence, the events E and F are not independent
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46.Find the quotient and remainder
Answer:
30624; 1514,6; a1,6.
Write in standard form: x² - 10x + y² - 4y = -28
Answer:
(x - 5) ^2 + (y -2)^2 = 1
Step-by-step explanation:
This is for a circle.
We need to complete the square
(x^2 -10x ) + ( y^2 -4y ) = -28
(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4
(x-5)^2 + (y-2)^2 = 1
The center of this circle would be (5,2) with a radius of 1.
The value of Kayla's investment can be modeled by the equation y=2650(1.05)x where x is the number of years invested and y is the value in dollars. What will be the value of the investment after 25 years? Round your answer to the nearest dollar.
Answer:
8,974 dollars
Step-by-step explanation:
y=2650.(1.05)^x
x=25
2650(1.05)^25 = 8974 dollars
Our peak time this week will be 8:00 AM to 12:00 PM, which requires 32% more agents than the afternoon requirements of 473 agents.” Representative: “So, you will need to have __________ in the morning shift.
The number of agents required in the morning shift 8:00 AM to 12:00 PM is 624.36 agents
PercentagePeak time = 8:00 AM to 12:00 PMAgent required in the afternoon = 473 agentsAgent required in the morning = (32% of 473) + 473
= (32/100 × 473) + 473
= (0.32 × 473) + 473
= 151.36 + 473
= 624.36 agents
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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.
Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)
Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points)
The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.
What is convenience sampling?Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.
The CEO could implement the second sampling method as follows:
Assign a serial number to each employees of the total 4,700 employee names.Use a random number generator software to obtain 600 random numbers.The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.Read more on convenience sampling here: https://brainly.com/question/1445924
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What is S10 of the geometric sequence? Round to the nearest whole number.
8, 20, 50, 125, …
15,263
50,857
317,886
The sum of the ten terms to the nearest whole number is 50857.
How to find the sum of a geometric sequence?Using geometric sequence formula,
nth term = arⁿ⁻¹
where
a = first termr = common ration = number of termsr = 20 / 8 = 5 / 2
a = 8
Hence,
s₁₀ = a(rⁿ - 1) / r - 1
s₁₀ = 8((5 / 2)¹⁰ - 1) / 5 / 2 - 1
s₁₀ = 8(9535.74316406) / 1.5
s₁₀ = 50857.296875
s₁₀ = 50857
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Would the horizontal translations shift the square root right or left? Sort each into the appropriate category.
f(x)=√x+0.8
f(x)=√x-4.7
f(x)=√x-25
f(x)=√x+6
f(x)=√x-11
Answer:
Step-by-step explanation:
Shift right
f(x)=√x-4.7
f(x)=√x-25
f(x)=√x-11
Shift left
f(x)=√x+0.8
f(x)=√x+6
If you horizontally stretch the quadratic parent function, f(x) = x², by a factor
of 5, what is the equation of the new function?
A. g(x) = (5x)2
B.
B. g(x) = (x)²
C. g(x) = 5x²
OD. g(x)=x²2
Answer: [tex]g(x)=\left(\frac{x}{5} \right)^2[/tex]
Step-by-step explanation:
See attached image.
Given triangle ABC, which equation could be used to find the measure of angle C?
Please HELPP ONLY A FEW MINUTES TO TURN IN
Okay, it's very simple, to solve this triangle you need to understand what the other angles are. We know that angle A is 90º, as it is represented as a square.
We now need to solve for angle B. angle B can be solved for by
Sin (x) = Opposite / Hypotenuse = 3 / 3√5 = 2.24ish
sin(x) = 2.24
x = [tex]sin^{-1}[/tex](2.24)
Use sin.
Answer:
Step-by-step explanation:
what's the answer
Howard and Jane are surveying their neighbors about the community garden. Their questions, written on the survey, are below:
Howard: Did you visit the garden this month?
Jane: How many times do you visit the garden in a month?
Who wrote a statistical question and why?
Jane, because there will be variability in the responses collected
Jane, because there can be only one answer to the question
Howard, because every neighbor will give the same answer
Howard, because there can be many answers to the question
According to the information, it can be inferred that Jane's question is the one that classifies as statistical because there will be variability in the answers (option A).
How to identify the statistical question?A statistical question is a type of question that is used to obtain information about a specific population and its trends or preferences.
In this case the statistical question is Jane's question because there will be variability in the answers, for example you will find that some people go to the garden once and others ten times a month.
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The median household in the United States increased by a rate of 0.25% each year between 1980 and 1985. If the median household income was $42,050 in 1980, what was the median household income after 5 years? Round answer to the nearest whole dollar.
Using an exponential function, the median household income after 5 years was of $42,578.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.For this problem, the parameters are:
A(0) = 42050, t = 5, r = 0.0025[/tex]
Hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 42050(1.0025)^t[/tex]
[tex]A(5) = 42050(1.0025)^5 = 42578[/tex]
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! PLEASE HELP ! Mr. Herman had $120 and Mr. Chandra had $80. After each of them had paid for a concert ticket,
Mr. Herman had 3 times as much money as Mr. Chandra. (a) How much was the ticket? (b) How
much money did Mr. Chandra have left?
Answer:
Step-by-step explanation:
let x be the price of ticket,then
120-x=3(80-x)
120-x=240-3x
3x-x=240-120
2x=120
x=120/2=60
Price of ticket=$60
Mr.Chandra has 80-60=20 $ after buying the ticket.
i don’t understand!!!
In other words, 12 goes in the top box and 13 goes in the bottom. The fraction slash sign is not part of either box.
===========================================================
Explanation:
Cosine is the ratio of adjacent over hypotenuse.
cos(angle) = adjacent/hypotenuse
For the reference angle X, the adjacent leg is 36 units long. It's the leg closest or touching angle X.
The hypotenuse is always the longest side. It is always opposite the 90 degree angle. The hypotenuse in this case is 39 units.
Therefore,
cos(X) = 36/39 = (12*3)/(13*3) = 12/13
Translate this phrase into an algebraic expression.
64 decreased by twice Matt's savings
Use the variable m to represent Matt's savings.
10
64 decrease by twice the number then the algebraic expression be
64 - 2m.
What is algebraic expression?The algebraic expression exists acquired by a finite number of the fundamental functions of algebra upon characters expressing numbers. Algebraic expressions contain at least one variable and at least one operation (addition, subtraction, multiplication, division).
From the given information, we get
Let, Matt's savings be denoted by the variable m.
Twice the number be 2m.
64 decrease by twice the digit then the algebraic expression be 64-2w.
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What expression could be used to add 3/4+1/6
The expression that could be used to add 3/4+1/6 is [tex]\frac{9 + 2}{12}[/tex]
How to determine the expression?The sum expression is given as:
3/4 + 1/6
Rewrite properly as:
[tex]\frac 34 + \frac 16[/tex]
Take the LCM.
The LCM of 4 and 6 is 12.
So, we have:
[tex]\frac{9 + 2}{12}[/tex]
Hence, the expression that could be used to add 3/4+1/6 is [tex]\frac{9 + 2}{12}[/tex]
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find the slope of this line
At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of 974.60. How many child tickets were sold that day?
x = child tickets
y = adult tickets
x + y = 141
5.60x + 9.30y = 974.60
y = 141 - x
5.60x + 9.30 ( 141 - x ) = 974.60
5.60x + 1311.3 - 9.30x = 974.60
-3.70x + 1311.3 = 974.60
-3.70x = 974.60 - 1311.3
-3.70x = -336.7
x = 91
91 child tickets were sold that day
Hello there I need help with this question pls help me I'll mark it as a brain list and give extra 50 points if you answer with an explanation and it MUST be correct
Answer:
iTS 6 2/3 OPTION 2.
Step-by-step explanation:
Because Area = L*B
SO L = A/b
L= 65/3 * 4/13(reciprocal and multiply)
L=20/3 = 6 2/3
Answer:
So answer is 6 2/3
because Look carefully
Area =length× width
length=Area÷ width
so
[tex]21 \frac{2}{3} \div 3 \frac{1}{4} = 6 \frac{2}{3} [/tex]