Your neighbor goes to the post office once a month and picks up two checks, one for $11,000 and one for $3,400. The larger check takes four days to clear after it is deposited; the smaller one takes five days. Assume 30 days in a month.
a. What is the total float for the month?
b. What is the average daily float?
c-1. What are the average daily receipts?
c-2. What is the weighted average delay?
Answer/explanation:
a. The total float for the month can be calculated as follows:The delay for the larger check is 4 days, and the delay for the smaller check is 5 days, therefore the float is 4 + 5 = 9 days.The total float for the month is $14,400 ($11,000 + $3,400).Thus, the total float for the month is $14,400 for a period of 9 days.
b. The average daily float can be calculated as follows:Average daily float = Total float / Number of days in the periodAverage daily float = $14,400 / 30 daysAverage daily float = $480
Therefore, the average daily float is $480.
c-1. The average daily receipts can be calculated as follows:The total receipts for the month are $14,400, so the average daily receipts are:Average daily receipts = Total receipts / Number of days in the periodAverage daily receipts = $14,400 / 30 daysAverage daily receipts = $480
Therefore, the average daily receipts are $480.
c-2. The weighted average delay can be calculated as follows:Weighted average delay = (Delay for larger check * Amount of larger check + Delay for smaller check * Amount of smaller check) / Total amountWeighted average delay = (4 days * $11,000 + 5 days * $3,400) / $14,400Weighted average delay = $77,600 / $14,400Weighted average delay = 5.39 days (rounded to two decimal places)
Therefore, the weighted average delay is 5.39 days.
A system of equations is given.
Equation 1: 5x − 2y = 10
Equation 2: 4x − 3y = 15
Explain how to eliminate x in the system of equations.
Source
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Answer:
To eliminate x, you need a positive coefficient in front of x for one equation and its negative counterpart in front of the other equation as a positive number plus its negative opposite equals 0 (e.g., -4 + 4 = 0 and -80 + 80 = 0)
Step 1: Therefore, we can eliminate x by first determining the least common multiple (LCM) between 5 and 4. We know that 5 * 4 = 20 and 4 * 5, so the LCM between 5 and 4 is 20.
Step 2: In order to have 20 as coefficient for x in one equation and -20 for x as a coefficient in the other equation, we can multiply the entire first equation by 4 and the entire second equation by -5:
Equation 1 multiplied by 4: 4 * (5x - 2y = 10) = 20x - 8y = 40
Equation 2 multiplied by -5: -5* (4x - 3y = 15) = -20x + 15y = -75
Step 3: Adding the two equations shows that the xs cancel as 20x - 20x = 0, leaving us with 15y - 8y = 40 - 75, which simplifies to 7y = -35
Answer: See below.
Step-by-step explanation:
First, we are already given these equations in standard form.
5x − 2y = 10
4x − 3y = 15
Next, we need to make the coefficients of the x variables opposites (as in 5 and -5, etc), since we want to eliminate the x's. To do this, we will find a common multiple (here, the Lowest Common Multiplb is 20). Then, we will multiply every term by the number that makes the coefficient of x our common multiple.
We will make the first equation with a coefficient of 20 for the x and the second with a coefficient of -20 for the x.
See this visually below.
5x − 2y = 10 ➜ 4(5x) − 4(2y) = 4(10) ➜ 20x - 8y = 40
4x − 3y = 15 ➜ -5(4x) − -5(3y) = -5(15) ➜ -20x + 15y = -75
Lastly, add these two equations together. The x's are eliminated. This also will let us solve for y.
20x - 8y = 40
+ -20x + 15y = -75
--------------------------------
7y = -35
y = -5
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
3
Step-by-step explanation:
x = the third side
x² + (\(\sqrt{55}\))²= 8²
x² = 64 - 55 = 9
x = \(\sqrt{9}\) = 3
Mike is hiking on a mountain and stops 105.3 feet above sea level. The base of the mountain is 3.8 feet below sea level. What is the vertical distance between Mike and the base of the mountain?
Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. The vertical separation between Mike and the mountain's base is 101.5 feet .
Given that,
Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. There are 3.8 feet of sea level below the mountain's base.
We have to find what is the vertical separation between Mike and the mountain's base.
The Mike comes to a stop 105.3 feet above sea level while trekking on a mountain.
3.8 feet of sea level below the mountain's base.
We just have to do the difference of the above sea level feet and below sea level feet.
=105.3-3.8
=101.5
Therefore, the vertical separation between Mike and the mountain's base is 101.5 feet .
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When a number increased by 4 is doubled, the result is the same as whe the number is increased by 20. Find the number
You MUST answer all of the questions below to get full credit. Please take
• Show your setup (how would it look on a Balanced Scale?)
• What does X equal?
• Check:
Answer:
X = 12
Step-by-step explanation:
When a number increased by 4
Let that number = x
x + 4
is doubled...
2(x + 4)
the result is the same
=
when the number is increased by 20
x + 20
Find the number
2 (x + 4) = x + 20
2x + 8 = x + 20
2x - x = 20 - 8
x = 12
What does X equal? X equals 12
Check:
Insert the x = 12 into the equation;
2 (x + 4) = x + 20
2 (12 + 4) = 12 + 20
2 (16) = 12 + 20
32 = 32
What is the value of x?
45°
m
(2x-5)
n
Answer:
x = 70
Step-by-step explanation:
The two angles are same side interior angles and same side interior angles add to 180
45+ (2x-5) = 180
Combine like terms
2x +40 = 180
Subtract 40 from each side
2x+40-40 =180-40
2x =140
Divide by 2
2x/2 = 140/2
x = 70
Answer:
x=70
Step-by-step explanation:
hope it helped! :)
have a nice day
Use the diagram below of similar triangles to find the value of y.
Answer:
y = 10.5
Step-by-step explanation:
Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{OP}{NQ}\) = \(\frac{MO}{MN}\) ( substitute values )
\(\frac{y}{7}\) = \(\frac{8+4}{8}\) = \(\frac{12}{8}\) ( cross- multiply )
8y = 84 ( divide both sides by 8 )
y = 10.5
3x - 4.5 = -19.5
solve for x
Answer:
Step-by-step explanation:
3x=-15
x=-5
Answer:
-5
Step-by-step explanation:
Use distributive property to simplify 3(2x - 6). SHOW ALL STEPS! Anyone able to help me with this I will gladly like it.
Answer:
6x - 18
Step-by-step explanation:
3 x 6 = 18, so thats how you get the 18 in the answer
3 x 2x = 6x, which is how you get the 6x
and theres a subraction sign so we know to put a - there.
Answer:
6x - 18
Step-by-step explanation:
3(2x - 6) =
("... - 6" means that whatever we do with the 6, we have to remember that it's negative)
3(2x - 6) =
3 * 2x + 3 * (-6) =
6x + (-18) =
(if we add a negative number then it's the same as subtracting that number)
6x + (-18) = 6x - 18
-------------------------------------------------
Hope i didn't make it to complicated to understand, glad to help :D
P.S. Dont be afraid to ask me a question if you didn't uderstand.
find the general solution of the given second-order differential equation. 2y'' + y' = 0
Therefore, the general solution of the given second-order differential equation is: y = c1 e^(0t) + c2 e^(-1/2 t).
To find the general solution of the given second-order differential equation 2y'' + y' = 0, we can assume that the solution is of the form y = e^(rt), where r is a constant to be determined.
First, we find the first and second derivatives of y with respect to t:
y' = re^(rt)
y'' = r^2 e^(rt)
Substituting these expressions into the differential equation, we get:
2r^2 e^(rt) + r e^(rt) = 0
Factoring out e^(rt), we get:
e^(rt) (2r^2 + r) = 0
This equation will be satisfied if either e^(rt) = 0 or 2r^2 + r = 0.
Since e^(rt) is never zero, we must have:
2r^2 + r = 0
Factoring out r, we get:
r(2r + 1) = 0
So, either r = 0 or r = -1/2.
Therefore, the general solution of the given second-order differential equation is:
y = c1 e^(0t) + c2 e^(-1/2 t)
Simplifying this expression, we get:
y = c1 + c2 e^(-1/2 t)
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HUrrryyy i need help!!!!!
Answer:It is D Step-by-step explanation:
What is 1/3+1/2equal to (fraction form)
Answer-
5/6
Step-by-step explanation:
How would you suggest that managers avoid the quick-fix mentality that makes management by best-seller so tempting?
You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:
1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.
2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.
3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.
4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.
5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.
6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.
By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.
Hope this helped you...
A sleep specialist wants to know if meditating before bedtime can help people fall asleep. In a study, he asked the subjects to meditate for various lengths of time just before going to bed.
The specialist tracked the subjects' meditation times, x, and how long it took them to fall asleep, y. Both times were recorded in minutes.
Answer:
whats the question?
Step-by-step explanation:
helpppppppppppppppppppppppp
Answer:
The surface area is 1,070 ft².
find the smallest number which must be added to 2300 so that it becomes a perfect square (please dont spam for points or i will report you.)
Answer:
4
Step-by-step explanation:
2300+4 = (48)^2
it's a perfect square now
hope it helps
I dont understand this
Answer:
x=66
Step-by-step explanation:
180-114=66
Interior angles on the same side of transversal are supplementary (180°).
So,
x + 114° = 180°
=> x = 180° - 114°
=> x = 66°
HELP D:
what is 43.2 divided by 16
show your work in partial quotient please show your work in partial quotient.
Answer:
2.7
Step-by-step explanation:
What is the missing justification?
transitive property
reflexive property
symmetric property
substitution property
Answer:
Transitive property
Step-by-step explanation:
Given
See attachment
Required
The missing property?
In step 1, we have:
\(\angle A \cong \angle B,\ \angle C \cong \angle B\)
Transitive property states that:
If \(a = b\) and \(b = c\)
Then \(a = c\)
Similarly:
If \(\angle A \cong \angle B\) and \(\angle C \cong \angle B\)
Then \(\angle A \cong \angle C\) --- step 3
Hence, we can conclude that the transitive property is the missing justification
Best answer gets Brainliest!!!!! 25 points! Don't just answer for the points PLEASE!
Jorge is factoring a quadratic expression. First, he factors out the greatest common factor, and then he uses grouping. Which expression could be Jorge’s expression?
A. 24x2 + 2x
B. 4x2 + 18x + 8
C. 6x2 − 9x − 27
D. 7x2 − 28
Answer:
A
Step-by-step explanation: gcf = 7
Grouping: 7((x+2)(x-2))
Answer: B
Step-by-step explanation:
Solve the literal equation for y.
4x - 2y = 10
Answer:
it could be that x is 4 and y 3
Step-by-step explanation:
if expected frequencies are not all equal, then we can determine them by enp for each individual category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are equal, then we can determine them by , where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. goodness-of-fit hypothesis tests may be left-tailed, right-tailed, or two-tailed.
If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.
On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.
Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.
Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.
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9 × 10^3 − 5.3 × 10^3
Answer:
the answer is 3700
Answer:
3700
Step-by-step explanation:
5(–9x + 1) + 5 = –10x + 5(–7x + 2)
Answer:-
here's the answer
Please help, will give brainliest
Answer:
1. Mean : 85.6
2. Median : 90
3. Mode : 95
4. Range : 35
Step-by-step explanation:
1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.
2. To find the median, line up all the numbers in order from least to greatest. Like so :
60,75,75,90,90,95,95,95,95
In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.
3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.
4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.
Hope this helps!
Answer:
Mean: 85.6
Median: 90
Mode: 95
Range: 35
Step-by-step explanation:
Mean: Add up all the value and divide by the number of values you have.
75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770
770 / 9 = 85.6
Median: Rearrange in increasing order + look at middle number
60, 75, 75, 90, 90, 95, 95, 95, 95
Mode: Number that shows up the most.
95 shows up 4 times.
Range: Maximum - Minimum.
95 - 60 = 35.
The math club needs to send 4 representatives to a meeting. the group must be composed of 2 males and 2 females. if there are 12 females and 23 males club members, in how many ways can the 4 members be selected?
a. 8,855
b. 16,698
c. 27,405
d. 52,360
Note that given the above condition, using the Combination Rule, the number of ways in which 4 members can be selected is: 16,698 ways (Option B).
What is the Combination in math?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.
The formula is given as:
ₙC\(_{r}\) = n!/(r!(n-r)!)
Where:
ₙC\(_{r}\) = Number of Combination
n = total number of objects in the set
r = number of choosing objects from the set
Given:
No. of female math club members = 12
No. of male math club members = 23; and
No. of representatives to be chosen = 4
hence,
The number of ways to choose 4 representatives = \(\binom{12}{2}\) x \(\binom{23}{2}\)
= [12!/(2!(12-2)!)] x [23!/(2!(23-2)!)]
= 66 x 253
= 16,698
Thus, the number of ways in which 4 members can be selected is 16,698.
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Hailey is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if she rolls a fair die in
the shape of a pyramid that has four sides labeled 1 to 4 and spins a spinner with four
equal-sized sections labeled Red, Green, Blue, Orange?
Given:
Numbers on die = 1, 2, 3, 4
Colors on board = Red, Green, Blue, Orange (equal sized sections)
To find:
The number of different possible outcomes are there if she rolls a fair die in the board.
Solution:
According to the given information,
The total possibilities for numbers = 4
Total possibilities for colors = 4
Total possibilities = Possibilities for number × Possibilities for colors
= \(4\times 4\)
= \(16\)
So, total 16 possible outcomes are there if she rolls a fair die in the board.
Let Red=R, Green=G, Blue=B, Orange=O, then list of total possible outcomes is:
{1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}
Therefore, the total possible outcomes are 16 and the lies of outcomes is {1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}.
Answer: 8
Step-by-step explanation:
i saw one like the answser it said do 4 x 4 and got 16 then i answer it and got it wrong so i did 4 plus 4
1. A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter that her husband. Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.
Answer:
\(CI = (0.028636,0.071364)\)
I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)
Step-by-step explanation:
Given
\(n = 400\)
\(x = 20\) --- taller wife
\(y = 380\) --- shorter wife
Required
Determine the 95% confidence interval of taller wives
First, calculate the proportion of taller wives
\(\hat p = \frac{x}{n}\)
\(\hat p = \frac{20}{400}\)
\(\hat p = 0.05\)
The z value for 95% confidence interval is:
\(z = 1.96\)
The confidence interval is calculated as:
\(CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}\)
\(CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}\)
\(CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}\)
\(CI = 0.05 \± 1.96 * \sqrt{0.00011875}\)
\(CI = 0.05 \± 1.96 * 0.01090\)
\(CI = 0.05 \± 0.021364\)
This gives:
\(CI = (0.05 - 0.021364,0.05 + 0.021364)\)
\(CI = (0.028636,0.071364)\)
A rectangle has an area 80 in2 and a length of 8 inches. What is the length?
Answer:
80/8=10 lenght is 10 inches
Step-by-step explanation:
Answer:
The length is 8, but if you are asking the width it is 10.
Step-by-step explanation:
You say the length is 8 inches then ask for the length.
If you meant to ask for the width then 80/8=10
What is the y-intercept of y = -3x
Answer:
0
Step-by-step explanation:
The y-intercept of y = -3x is zero.
Answer:
0
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 0
*We assume that if the variable isn't there, it is 0 or being multiplied by 0.