A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd numbered.
Answer:
\(P(R\ or\ odd\ Numbered)=5/7\)
Step-by-step explanation:
From the question we are told that:
Number of Red Marble \(n_r=6\)
Number of Blue Marble \(n_b=8\)
Sample size \(n=n_r+n_b\)
\(n=6+8\)
\(n=14\)
And
No of red or Odd numbered \(x= 6+4 = 10\)
Generally the equation for probability the marble is red or odd numbered. is mathematically given by
\(P(R or odd Numbered)=x/n\)
\(P(R or odd Numbered)=10/14\)
\(P(R\ or\ odd\ Numbered)=5/7\)
Frank had four different credit cards, the balances and interest information of which are outlined in the table below. If Frank budgets to pay off all four credit cards in 24 months, what will his total monthly credit card payment be?
Answer:
D
Step-by-step explanation:
I got this problem too and I got it correct
Answer:
✅ D. $462.91i took the test⬇️
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Check the picture below.
statistical methods are classified into two major categories: descriptive and inferential. describe the general purpose for the statistical methods in each category. descriptive statistics are generally used for which of the following? check all that apply.
Statistical methods are the processes of collecting, presenting, analyzing data, and drawing conclusions.
These methods are divided into two groups: descriptive statistics and inferential statistics.
The scope of descriptive statistics includes distributions of random and random variables, discrete and continuous random variables. For inference statistics, including statistical inference from one or two populations, analysis of variance, regression analysis, and analysis of categorical data from both random and normal populations.
Why study statistical methodsStatistical techniques include many ways to collect, present, analyze, and draw conclusions from data. By considering these methods, you can choose which method to use according to the characteristics of your data.
Choosing the right method leads to drawing the right conclusions.
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The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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Amortize Premium by Interest Method
Shunda Corporation wholesales parts to appliance manufacturers. On January 1, Year 1, Shunda Corporation issued $22,000,000 of five-year, 9% bonds at a market (effective) interest rate of 7%, receiving cash of $23,829,684. Interest is payable semiannually. Shunda Corporation’s fiscal year begins on January 1. The company uses the interest method.
a. Journalize the entries to record the following:
Question Content Area
1. Sale of the bonds. Round amounts to the nearest dollar. For a compound transaction, if an amount box does not require an entry, leave it blank.
blank
- Select -
- Select -
- Select -
- Select -
- Select -
- Select -
Question Content Area
2. First semiannual interest payment, including amortization of premium. Round to the nearest dollar. For a compound transaction, if an amount box does not require an entry, leave it blank.
blank
- Select -
- Select -
- Select -
- Select -
- Select -
- Select -
Question Content Area
3. Second semiannual interest payment, including amortization of premium. Round to the nearest dollar. For a compound transaction, if an amount box does not require an entry, leave it blank.
blank
- Select -
- Select -
- Select -
- Select -
- Select -
- Select -
Question Content Area
b. Determine the bond interest expense for the first year. Enter amounts as positive numbers. Round amounts to the nearest dollar.
Annual interest paid $
fill in the blank 6502c1ff4fd7045_1
Premium amortized
fill in the blank 6502c1ff4fd7045_2
Interest expense for first year $
fill in the blank 6502c1ff4fd7045_3
Question Content Area
c. Explain why the company was able to issue the bonds for $23,829,684 rather than for the face amount of $22,000,000.
The bonds sell for more than their face amount because the market rate of interest is
the contract rate of interest. Investors
willing to pay more for bonds that pay a higher rate of interest (contract rate) than the rate they could earn on similar bonds (market rate).
The journal entries for the bonds transactions of Shunda Corporation are as follows:
Journal Entries:1. Debit Cash $23,829,684
Credit Bonds Payable $22,000,000
Credit Bonds Premium $1,829,684
2. Debit Interest Expense $834,039
Debit Bonds Premium $155,961
Credit Cash $990,000
3. Debit Interest Expense $828,580
Debit Bonds Premium $161,420
Credit Cash $990,000
b. Bond Interest Expense for the first year is as follows:
Annual interest paid = $1,980,000
Premium amortized = $317,381
Interest Expense = $1,662,619
c. The bonds sell for more than their face amount because the market rate of interest is less than the contract interest rate. Investors are willing to pay more for bonds that pay a higher rate of interest (contract rate) than the rate they could earn on similar bonds (market rate).
Transaction Analysis:Face value of bonds = $22,000,000
Bonds Proceeds = $23,829,684
Bonds Premium = $1,829,684 ($23,829,684 - $22,000,000)
Coupon interest rate = 9%
Semi-annual interest payment = $990,000 ($22,000,000 x 9% x 1/2)
Effective market interest rate = 7%
1. Cash $23,829,684 Bonds Payable $22,000,000 Bonds Premium $1,829,684
2. Interest Expense $834,039 Bonds Premium $155,961 Cash $990,000
3. Interest Expense $828,580 Bonds Premium $161,420 Cash $990,000
1st Semiannual Interest Payment:Interest Payment at 4.5% $990,000
Interest Expense = $834,039 ($23,829,684 x 3.5%)
Amortized Premium = $155,961
Bond's carrying value = $23,673,723 ($23,829,684 - $155,961)
2nd Semiannual Interest Payment:Interest Payment at 4.5% $990,000
Interest Expense = $828,580 ($23,673,723 x 3.5%)
Amortized Premium = $161,420
Bond's carrying value = $23,512,303 ($23,673,723 - $161,420)
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Find the sum. 4.88 * 1.6
Answer: 7.808.
Take the 2 values and multiply them together using the digits
Analyn is heating a solution in her chemistry lab. The temperature of the solution starts at 10°CShe turns on the burner and finds that the solution's temperature increases by 4°C every minute. This graph shows the temperature change.
Answer:
D
Step-by-step explanation:
if you go 6x and 34 y you get a point on the line.
Find all the measures
Answer:
Step-by-step explanation:
I NEED THE ANSWER ASAP
If you were to write the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2--what would be the value of b?
y=mx+b
y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2
m=-2
Now let us find the y intercept
-3=-2(4)+b
-3=-8+b
-3+8=b
5=b
Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
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The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
A restraurant Buys 56 Pounds of Beef at $1.12/ Pound and 24 quarts of Milk at $.90 quart. how Much Money was spent?
Answer:
Step-by-step explanation:
1.12 * 56 = 62.72
.90 * 24 = 21.60
62.72 + 21.60 = $84.32
I will mark you brainiest!
Which term describes this polygon?
A) heptagon
B) dodecagon
C) 17-gon
D) 12-gon
Option D : The polygon in the image has 12 sides. Therefore, the term describes this polygon is 12-gon.
A polygon is a closed two-dimensional shape with straight sides. The number of sides a polygon has is called its order or number of sides, and is often used to name the polygon. In the case of the polygon shown in the image, it has 12 sides, which means it is a 12-gon.
The prefixes used to name polygons based on their number of sides are derived from Greek and Latin numerical prefixes. For example, the prefix "hepta-" means seven, so a polygon with seven sides is called a heptagon. Similarly, the prefix "dodeca-" means twelve, so a polygon with twelve sides is called a dodecagon.
In conclusion, a polygon is a closed two-dimensional shape with straight sides, and its order or number of sides is used to name it. The polygon in the image has 12 sides, so it is called a 12-gon, with the prefix "dodeca-" meaning twelve.
Therefore, the polygon has 12 sides, so the correct term to describe it is a 12-gon.
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What is the product?
3x³(2x² +4x+1)
O 2x +4Xô + xô
O
6x¹0+12x5+3x5
O 6x² + 12x6 +5
O 3x5+2x² + 4x+1
Answer:
6x⁵+12x⁴+3x³
Step-by-step explanation:
3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)
therefore
3x³(2x² + 4x + 1) =
(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)
*NOTE: for the brackets the multiplication law of indices is applied, i.e:
nª × n^b = n^a+b therefore
x³ × x² = x^3+2 = x⁵
x³ × x = x^3+1 = x⁴
x³ × x⁰ = x^3+0 = x³
*Note the quoeficents multiple each other, i.e:
3 × 2 = 6
3 × 4 = 12
3 × 1 = 3
so:
= 6x⁵ + 12x⁴ + 3x³
Calculate the product
20 (-15)
Answer:
Step-by-step explanation:
Product means multiply.
-300
9.2x10^8 is how many times the value of 2.3x10^2
Answer:
1,000,000
Step-by-step explanation:
Jonathan calls his mother 2 times every week.
Let w represent the number of weeks and c represent the total number of times Jonathan calls his mother.
Answer:
2w=c 2 times each week so 2 times how many weeks
3/128 as a percentage
Answer:
2.34375%
Step-by-step explanation:
The UMass IIE student chapter is going to run a fundraising event from 1pm through 5pm. Due to the large scale of the event, student workers will be hired to work for the event and each worker will be assigned to a particular shift. There are three shifts: 1pm-3pm, 2pm-4pm, 3pm-5pm. The pay for each of the three shifts is $20, $24 and $28 per worker respectively. The minimum number of workers needed for each hour is listed below: 1pm-2pm: 20, 2pm-3pm: 25, 3pm-4pm: 25, 4pm-5pm: 30. ASCE would like to minimize the hiring cost while satisfying the demand of workers in each hour.
A) Define the decision variables.
B) Write down the objective function.
C) Write down the constraint that the demand of workers for 2pm-3pm is satisfied.
Answer:
a. x1,x2,x3,x4
b. 20x1 + 24x2 + 28x3
c. x1 +x2 ≥ 25
Step-by-step explanation:
At a time that spans from 1 to 5pm, we have timing as follows:
1pm - 2pm = x1
2pm - 3pm = x2
3pm - 4pm = x3
4pm - 5pm = x4
a. The decision variables are x1, x2, x3, x4 and these are the number of people for each shift.
b. The objective function is the minimum cost which is
20x1 + 24x2 + 28x3
c. The constraints for each has been listed
1 - 2pm, x1 ≥ 20 workers
2 - 3pm, x1 + x2 ≥ 25
3 - 4pm, x2 + x3 ≥ 25
4 - 5pm, x3 ≥ 30
The question asked us to write the one for 2-3pm, which is x1 + x2 ≥ 25
Which of these triangle pairs can be mapped to each other using a reflection and a translation?
4) A skate park charges $5.00 for admission and
$0.75 for each hour at the park. If Rolina spends
a total of $7.25 at the park, how long was she
there?
Answer:
She was there for 3 hours.
Step-by-step explanation:
7.25-5= 2.25
2.25÷0.75=3
WILL MARK BRAINLIEST
Use the function below to find F(3)
F(x)=(1/5)^x
The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.
What is a function?A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.
A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.
F(x)=(1/5)ˣ
F(3)=(1/5)³
F(3)=1/125
Hence, the value of the function F(3) will be 1/125.
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f(x) = -9x - 3 ; find f(-7).
Answer:
f(-7) = 60
Step-by-step explanation:
In this problem, we are asked to find the output of the function f(x) when x = -7.
First, substitute -7 in for x.
f(x) = -9x - 3
f(-7) = -9(-7) - 3
Then, simplify the right side of the equation. Remember that a negative times a negative becomes positive.
f(-7) = 63 - 3
f(-7) = 60
The starting temperature was 24°.
The temperature increased by 8°.
Then the temperature dropped by 7° per hour for the next six hours.
What is the temperature after the six hour drop in temperature?
Answer:
-10°
Step-by-step explanation:
take 24°+8°= 32
beacuse there was a decrease of 7° per hour for 6 hours you must subtract 7° six times from 32°
Please help me out! ACCOUNTING CHAP 7 RECONCILIATION
The Adjusted bank and book balance equals the amount of $9,850 in the Bank Reconciliation.
Bank Reconciliation Statement for July 31, 20Y5 for Stone SystemsParticulars Amount
Balance on bank statement $10,240
Additions:
Outstanding Deposits $3,840
Deductions:
Outstanding checks $3,690
Bank Error (600-60) $540
Adjusted bank balance $9,850
Balance in books $7,795
Additions:
Note Collection plus interest $2,000
Incorrect recording of check ($880-$800) $80
Deductions
Bank Service charges $25
Adjusted book balance $9,850
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Help please!!
Brainliest if right
Answer:
top and bottom
Step-by-step explanation:
Consider the function F(x) = - 2x + 3x - 8. Determine F(k + 4).
Answer:
F(k + 4) = k - 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
F(x) = -2x + 3x - 8
F(k + 4) is x = k + 4
Step 2: Find F(k + 4)
Substitute in x: F(k + 4) = -2(k + 4) + 3(k + 4) - 8Distribute -2: F(k + 4) = -2k - 8 + 3k + 12 - 8Combine like terms (k): F(k + 4) = k - 8 + 12 - 8Combine like terms (Z): F(k + 4) = k - 4Question 10 of 10
Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?
A. Collect variable terms on one side.
OB. Isolate the variable.
C. Use the distributive property.
Ο Ο
D. Collect like terms.
SUBMIT
Answer:
first you correct like terns
When posted overseas to country A at age r, the employees of
a large company are subject to a force of mortality such that, at exact duration
†years after arrival overseas (1 = 0, 1,2, 3,4),
The probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country is 2 x 10⁻⁶³
Probability is a mathematical concept that describes the likelihood of a specific event occurring within a set of possible outcomes
Let's start by defining some terms. The force of mortality, also known as the death rate, is the number of deaths per unit time per unit of population.
The probability of survival is the chance that an individual will live past a certain age. In our case, we want to know the probability of surviving from age 30 to age 40 while living in country A.
To calculate the probability of survival, we will use the formula:
\(P(x) = e^{-qx}\)
Where P(x) is the probability of survival at age x and qx is the force of mortality at age x.
First, we will calculate the force of mortality for the first five years after arrival in country A using the equation given in the question:
90x+1 = (6 - 1)9x+1
For x = 30, we have:
90(30) + 1 = (6 - 1)9(30) + 1
2701 = 5 * 891 + 1
2701 = 4445 + 1
2700 = 4445
So, q30 = 4445/30 = 148.5
Next, we will use this value to calculate the probability of survival for the first five years in country A:
\(P30 = e^{-q3} = e^{-148.5} = 1.2 \times 10^{-64}\)
Since the force of mortality for those who have lived in country A for at least five years is 50% greater than the US Life Tables, 2002, Females, we can calculate the force of mortality for the next 10 years as follows:
qx = 1.5 x qx from US Life Tables
Using the values from Table 3.11, we have:
q31 = 1.5 x 98,424 = 147,636
q32 = 1.5 x 98,362 = 147,543
q33 = 1.5 x 98,296 = 147,444
q34 = 1.5 x 98,225 = 147,338
q35 = 1.5 x 98,148 = 147,222
q40 = 1.5 x 97,500 = 146,250
Finally, we can use these values to calculate the probability of survival from age 31 to age 40:
\(P31 = e^{-q31} = e^{-147,636} = 1.3 \times 10^{-65}\\ \\P32 = e^{-q32} = e^{-147,543} = 1.4 \times 10^{-66}\\\\P33 = e^{-q33} = e^{-147,444} = 1.5 \times 10^{-67}\\\\P34 = e^{-q34} = e^{-147,338} = 1.6 \times 10^{-68}\\\\P35 = e^{-q35} = e^{-147,222} = 1.7 \times 10^{-69}\\\\P40 = e^{-q40} = e^{-146,250} = 2.0 \times 10^{-63)}\\\\\)
Complete Question:
When posted overseas to country A at age x, the employees of a large company are subject to a force of mortality such that, at exact duration t years after arrival overseas (t = 0,1,2,3,4), 90x+1 = (6 - 1)9x+1 where qx+t is on the basis of US Life Tables, 2002, Females. For those who have lived in country A for at least five years the force of mortality at each age is 50% greater than that of US Life Tables, 2002, Females, at the same age. Some lx values for this table are shown in Table 3.11.
An extract from the United States Life Tables, 2002,
Females. Age,
x 30 31 32 33 34 35 40
1x 98,424 98,362 98,296 98,225 98,148 98,064 97,500
Calculate the probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country.
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