Answer:
\(\sf \boxed{\sf volume=\frac{16}{9} \ ft^3}\)
Explanation:
Cube volume: Length x Width x Height
Volume of the entire cuboid:
Length x Width x Height
(1/3 x 4) x (1/3 x 3) x (1/3 x 4)
4/3 x 1 x 4/3
16/9
Volume of the cuboid
Length ×Breadth×Height(1/3×4)²(1/3×316/9×116/9ft³if the number of times you take the test were independent of the chance you fail what could that mean?
if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.
The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.
Learn more about independent variable here
https://brainly.com/question/29430246
#SPJ4
United Bank offers a 15-year mortgage at an APR of 6.2%. Capitol Bank offers a 25-year mortgage at an APR of 6.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol Bank? Round to the nearest ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
g. How many years of payments do you avoid if you decide to take out the shorter mortgage?
If United Bank offers a 15-year mortgage at an APR of 6.2%.
a. Monthly Payment is $1,025.90
b. Total Interest is $64,662
c. Monthly Payment $810.55
d. Total Interest is $123,165
e. Difference in the monthly payments is $215.35.
f. You could save 10 years of payments
What is the monthly payment?Using this formula to find the monthly payment
Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Total Interest = (Monthly Payment * n) - P
where
P= principal amount borrowed
r = monthly interest rate (APR / 12)
n = total number of monthly payments
a. United Bank Monthly payment
P = $120,000
r = 6.2% / 12 = 0.00517
n = 15 years * 12 months/year = 180
Monthly Payment = 120000 * (0.00517 * (1 + 0.00517)^180) / ((1 + 0.00517)^180 - 1)
Monthly Payment = $1,025.90
b. United Ban Total interest
Total Interest = ($1,025.90* 180) - 120000
Total Interest = $64,662
c. Capitol Bank Monthly payment
P = $120,000
r = 6.5% / 12 = 0.00542
n = 25 years * 12 months/year = 300
Monthly Payment = 120000 * (0.00542 * (1 + 0.00542)^300) / ((1 + 0.00542)^300 - 1)
Monthly Payment = $810.55
d. Capitol Bank Total interest
Total Interest = (810.55 * 300) - 120000
Total Interest = $123,165
e. Capitol Bank has the higher total interest by $58,503 ( $123,165 - $64,662).
f. The difference in the monthly payments is:
$1025.90 - $810.55= $215.35.
g. You could save 10 years of payments if you took up a 15-year mortgage as opposed to a 25-year mortgage.
Therefore the Monthly Payment is $1,025.90.
Learn more about monthly payment here:https://brainly.com/question/28106777
#SPJ1
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
a sector of a circle is created from a central angle with a measure of 60 . if the diameter of the circle is 6 inches, what is the area of the sector?
The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.
To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.
The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.
To calculate the area of the sector, we can use the formula:
Area of Sector = (θ/360°) * π * r²
where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.
Plugging in the values:
Area of Sector = (60°/360°) * π * (3)²
Area of Sector = (1/6) * 3.14159 * 9
Area of Sector ≈ 4.7124 square inches
Learn more about sector here:
https://brainly.com/question/30607726
#SPJ11
Rapunzel was setting up a room with tables for an event. The room had 4 walnuts tables, 9 poplar tables, 7 cedar tables, and 11 cherry tables
What is the probability that the first person to enter the room will be randomly seated at a walnut table?
The probability that the first person to enter the room will be randomly seated at a walnut table is approximately 0.129, or 12.9%.
To calculate the probability that the first person to enter the room will be randomly seated at a walnut table, we need to determine the total number of tables and the number of walnut tables specifically.
The total number of tables in the room is the sum of the walnut, poplar, cedar, and cherry tables:
Total number of tables = 4 walnut tables + 9 poplar tables + 7 cedar tables + 11 cherry tables = 31 tables.
The probability of being seated at a walnut table can be calculated by dividing the number of walnut tables by the total number of tables:
Probability = Number of walnut tables / Total number of tables = 4 walnut tables / 31 tables ≈ 0.129.
For similar question on probability.
https://brainly.com/question/25870256
#SPJ8
Factor.
9q3+9q2–2q–2
Answer:
(q+1) (9q^2-2)
Step-by-step explanation:
Which method or methods listed below describe a solid system for keeping financial records?
1. Making a mental note of all purchases made during the week.
II. Recording money spent in a hand-held notebook.
III. Organizing receipts and transactions on a computer.
a. I only
b. I only
C. II and III
d. I, II, and III
Answer:
C :)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The parallelogram shown below has an area of 72 units?.
h
13
Find the missing height.
Answer:
area is given base is given so area of parallelogram =b x h
or 72=13 x h
or h =72/13=5.5 units
Answer:12
Step-by-step explanation:
The equations in this sytem were added to solve for x. What is the value of x?
Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3
The value of x would be 1.
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
more about factor of production
https://brainly.com/question/988852
#SPJ2
Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
NEED NOW URGENT PLEASE
s = rθ
24.6 = r×250
r = 24.6÷250
r = 0.098
I'm not sure
Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points)
8 more than half the difference of 2 and 1, and then subtract 6
Add 8 to half the difference of 6 and 2, then subtract 1
The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1
1 less than half of 6 plus the sum o
Answer:
Add 8 to half the difference of 6 and 2, then subtract 1.
Answer: Add 8 to half the difference of 6 and 2, then subtract 1
Step-by-step explanation: 8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1
plz mark as brainliest!
find the product of (x-8)(x-2)
The product of (x-8)(x-2) using the distributive property is x^2 - 10x + 16.
The product of the expression can be worked out thus:
(x-8)(x-2)
We can find this product using the distributive property.
The distributive property states that a(b+c) = ab + ac. In this case, we have a = x, b = x-8, and c = x-2.
x²-2x-8x+16
x² -10x - 16
Therefore, the product of the expression is x²-10x -16
Learn more on Quadratic equation:
#SPJ1
A cell phone user selects apps to download. Each of 10 apps is independently selected with probability 0.17. Round your answers to two decimal places (e.g. 98.76). (a) If each of the first 9 apps are downloaded, what is the probability that the last app is downloaded? P= (b) What is the probability that the cell phone user downloads at least 3 apps? P= (c) What is the probability that app 1 or 2 is downloaded? P=
a. If each of the first 9 apps are downloaded, the probability that the last app is downloaded would be 0.17. The reason is that the download of the previous apps will have no effect on the download of the 10th app because each app is downloaded independently.
b. To find the probability that the cell phone user downloads at least 3 apps, we will use the formula:P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + ... + P(X = 10)where X is the number of apps downloaded.To solve this problem, we need to find each individual probability, so we will use the binomial probability formula:P(X = k) = nCk * pk * (1 - p)n - kwhere n = 10, k = 3, 4, 5, ..., 10, p = 0.17P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + ... + P(X = 10)P(X ≥ 3) = 0.210 + 0.087 + 0.029 + 0.007 + 0.001 + 0.000 + 0.000P(X ≥ 3) = 0.334c. To find the probability that app 1 or 2 is downloaded, we will use the formula:P(A or B) = P(A) + P(B) - P(A and B)where A and B are events.
To solve this problem, we need to find the probability that app 1 is downloaded, the probability that app 2 is downloaded, and the probability that both apps are downloaded. Since each app is downloaded independently:P(app 1) = 0.17P(app 2) = 0.17P(app 1 and app 2) = 0.17 * 0.17P(A or B) = P(A) + P(B) - P(A and B)P(app 1 or app 2) = P(app 1) + P(app 2) - P(app 1 and app 2)P(app 1 or app 2) = 0.17 + 0.17 - (0.17 * 0.17)P(app 1 or app 2) = 0.2906Answer:a. The probability that the last app is downloaded is 0.17.b. The probability that the cell phone user downloads at least 3 apps is 0.334.
c. The probability that app 1 or 2 is downloaded is 0.2906.
To know more about app visit:
https://brainly.com/question/32284707
#SPJ11
Lines s, t, and u are perpendicular bisectors of the sides of FGH and meet at J. If JG = 3x + 4, JH = 2y - 2, JF = 10 and HI = 2z - 4, find x, y, and z.
Answer:
x = 4, y = 6, z = 8
Step-by-step explanation:
Given that for a triangle FGH, lines s, t and u are perpendicular bisectors.
They concur at the point J.
We know that the point of concurrence of perpendicular bisectors is the circmcenttre of the triangle. Hence we will have J equidistant from the three vertices. In other words,
JG = JH=JF
Now to find Z we make use of HI.
So 8 is right answer
x = 4, y = 6, z = 8
Step-by-step explanation:
sorry i took to long
Annabeth is a salaried employee who earns additional compensation for all hours over
40 worked in one week. Her bi-weekly gross earnings are $913.45. If she is paid time-
and-a-half for her overtime hours, what are her bi-weekly gross earnings if she works
47 hours during a week of her pay period? (6 points)
Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.
What is amount?Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.
This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.
To know more about amount click-
https://brainly.com/question/19104371
#SPJ1
x = \(\frac{2}{3}\)x - 5 WHAT IS X
x = -15
Step-by-step explanation:
\(x = \frac{2}{3} x - 5\)
Collect like terms and simplify
\(x - \frac{2}{3} x = - 5 \\ \frac{1}{3} x = - 5\)
Cross multiply
\(x = - 5 \times 3 \\ \\ x = - 15\)
what value of z* should be used to construct a 90% confidence interval of a population mean? answer choices are rounded to the hundredths place. a.) 1.65 b.) 2.58 c.) 1.28 d.) 1.96
The value of z* that should be used to construct a 90% confidence interval of a population mean is 1.65.
The value of z* that should be used to construct a 90% confidence interval of a population mean depends on the level of significance or alpha (α) we choose.
Since we want to construct a 90% confidence interval, the level of significance or alpha (α) can be calculated as:
α = 1 - confidence level = 1 - 0.9 = 0.1
We divide alpha (0.1) equally among the two tails of the standard normal distribution to get the critical value, which is denoted by z*. We can find z* by using a standard normal distribution table.
For a two-tailed test with a 0.1 level of significance, the critical value z* can be found as follows:
z* = 1 - (0.1 / 2) = 0.95
Using a standard normal distribution table, we find that the z-score corresponding to 0.95 is 1.645, rounded to the hundredth place.
Therefore, the answer is a.) 1.65.
To learn more about the z-test statistic click here:
brainly.com/question/29692242
#SPJ1
During the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring? Group of answer choices
Answer:
The total amount of water Andre brought for the hike was, 3.0 liters.
Step-by-step explanation:
Let the total amount of water Andre brought for the hike be denoted by, x.
It is provided that he drank 1.5 liters of the water during the first part of the hike.
Also, this 1.5 liters of the water is 50% of the water he brought, i.e.
\(1.5\ \text{lt}=50\%\ \text{of}\ x\)
Compute the value of x as follows:
\(1.5\ \text{lt}=50\%\ \text{of}\ x\)
\(x=\frac{1.5}{50\%}\)
\(=\frac{1.5}{50}\times 100\\\\=1.5\times 2\\\\=3.0\)
The total amount of water Andre brought for the hike was, 3.0 liters.
An Assembly Line Has 10 Stations With Times Of 1, 2, 3, 4, …, 10, Respectively. What Is The Bottleneck Time? Please Show All Work!!!!
An assembly line has 10 stations with times of 1, 2, 3, 4, …, 10, respectively. What is the bottleneck time?
Please show all work!!!!
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
What is the bottleneck?In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.
Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55
Given,
Assembly line has 10 stations
Throughput time is 55
The formula for bottleneck time is:
Bottle neck time = Total stations/Throughput time ×100
= 10/55 ×100
= 18.18%
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
Learn more about the bottleneck time here:
https://brainly.com/question/14122986.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?
a. 18.18% of the throughput time
b. 100% of the throughput time
c. 550% of the throughput time
d. 50% of the throughput time
e. 1.82% of the throughput time
Solve 3x - 5 = 16
Write your solution starting with x= .
Answer:
x = 7
Step-by-step explanation:
3x - 5 = 16
3x = 16 + 5
3x = 21
x = 21/3
x = 7
144000x²+431974x-39=0 find the value of X
Answer:
\(x=0.00009028, x=-2.999909725\)
Step-by-step explanation:
Use the quadratic formula:
\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\)
when \(ax^2+bx+c=0\)
Therefore, for \(144000x^2+431974x-39=0\)
a = 144,000 b = 431,974 and c = -39
Substituting this data into the quadratic formula:
\(x=\dfrac{-431974 \pm \sqrt{431974^2-4(144000)(-39)} }{2(144000)}\)
\(x=0.00009028, x=-2.999909725\)
McKenzie runs 1. 5 mi every 10 min. At this rate, how many miles does she run in 1 hour? Enter your answer in the box.
Answer:
15
Step-by-step explanation:
The work in an office takes 150 hours to complete every week. Each person in the office works for 32 hours a week
The data set shows the numbers of hours that college students studied in one month.
What is the mean number of hours they studied in one month? Round answer to the tenths place. If answer is a whole number then include a zero in the tenths place to have answer counted correct.
76, 68, 22, 76, 82, 22
The mean number of hours studied in one month is 57.66
What is the mean ?
The input numbers are averaged mathematically to produce the mean. As a result, the mean is frequently referred to as the "average" in mathematics. A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. To find the mean, add up each value in the set. After that, divide the sum by the variety of values.Mean = total number / the sum of the numbers
= 76 + 68 + 22 + 76 + 82 + 22 / 6
= 346/6
= 57.66
Learn more about mean
brainly.com/question/10853033
#SPJ9
The graph of y=-1/2x+2 is positive over the interval negative infinity and 4 and negative over the interval 4 and infinity. What happens on the graph when ? Explain.
Answer:
The information that we have is:
"The graph of y=-1/2x+2 is positive over the interval negative infinity and 4 and negative over the interval 4 and infinity."
Now, i guess that the question is:
"What happens on the graph when x = 4 ?"
Well, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must that the graph must cross the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.
But we could also test it with the equation:
y = -(1/2)*x + 2
if we replace the x by a 4.
y = -(1/2)*4 + 2 = -2 + 2 = 0.
Then our previous hypothesis was correct.
The shape of base of a cubic box is _______
Answer:
The shape of base of a cubic box is square
Step-by-step explanation:
Here the figure is
Here the base is square
The shape of base of a cubic box is square
Answer:
The base is a square
Step-by-step explanation:
Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.
PLEASE HELP ME!! I DON'T KNOW WHAT TO DO????
Answer:
Step-by-step explanation:
x-10=4
bring the 10 over and add it to the 4 and that equals 14 so
x=14 hope this helps have a great day
Click through the graphs and select the one that could represent the relationship be
time, t, for the cell phone plan shown below.
time in hours 0 1 2 3
cost in dollars 10 13 16 19
Cost in dollars
20
18
16
14
4
2
2
3
Time in Hours
4
S
The linear function for the cost is given as follows:
C(t) = 10 + 3t.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.We have that each hour, the cost increases by $3, hence the slope m is given as follows:
m = 3.
For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:
b = 10.
Thus the function is given as follows:
C(t) = 10 + 3t.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Find the Taylor series and the radius of convergence for f(x) = sin(x) centered about a = pi/2 (You can
assume f(x) has a power series expansion. Do not show that R . (x) -> 0 )
The Taylor series for f(x) = sin(x) centered about a = π/2 is: f(x) = 1 - (x - π/2) + (x - π/2)\(^3^/^3^!\) - (x - π/2)\(^5^/^5^!\) + ... The radius of convergence is π/2.
To find the Taylor series expansion of f(x) = sin(x) centered about a = π/2, we start by calculating the derivatives of f(x) at the center. Since the derivative of sin(x) is cos(x), the first few derivatives are:
f'(x) = cos(x)
f''(x) = -sin(x)
f'''(x) = -cos(x)
f''''(x) = sin(x)
Evaluating these derivatives at x = π/2, we get:
f(π/2) = sin(π/2) = 1
f'(π/2) = cos(π/2) = 0
f''(π/2) = -sin(π/2) = -1
f'''(π/2) = -cos(π/2) = 0
f''''(π/2) = sin(π/2) = 1
Using these values, we can construct the Taylor series expansion of f(x) as follows:
f(x) = f(π/2) + f'(π/2)(x - π/2) + f''(π/2)(x - π/2)\(^2^/^2^!\) + f'''(π/2)(x - π/2)\(^3^/^3^!\) + ...
Simplifying the expression and plugging in the derivatives, we get:
f(x) = 1 + 0(x - π/2) - (x - π/2)\(^2^/^2^!\) + 0(x - π/2)\(^3^/^3^!\) + (x - π/2)\(^4^/^4^!\)- ...
Since the sine function has a repeating pattern every 2π, the radius of convergence of the Taylor series is the distance from the center (π/2) to the nearest point where the function is not analytic, which is π/2.
Learn more about Taylor series
brainly.com/question/32235538
#SPJ11