Using the simple interest formula, Mr. Solo received $26 interest.
In the given question we have to find how much interest Mr. Solo received.
The investment(P) = $325.
Interest rate(R) = 8%
Time(T) = 1 year
Finding the interest using the simple interest formula.
I = PRT/100
where I = interest
P = Principal Amount
T = Time
R = Interest Rate
Putting the value
I = 325*8*1/100
I = 26
Hence, Mr. Solo received $26 interest.
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I have a/some question(s) for yall,
1. What's the ratio of 30 freshmen to 100 seniors ? as a fraction in simplest form
2.give two equivalent ratios to 1/4
3. Adam has 12 pennies and Selene has 60 pennies whats the ratio of selenes pennies to adams pennies in simplest form?
Answer:
1. 30:100 = 30/100=3/10
2. 2:8, 3:12
3. 60:12 = 5:1 or 5/1
Step-by-step explanation:
Help!! Algebra 1 math equation
Answer:
6
Step-by-step explanation:
The answer is 6. You're looking for the rate of change in the number of DVD's. from 9,15,21,27, each time you add 6, so +6 is your constant variation.
if the half-width of the interval needed to be at most 4.73 pounds, how many players would have to be randomly sampled from the team?
There is a need to randomly sample at least 105 players from the team to estimate the mean weight with a 95% confidence interval half-width of at most 4.73 pounds.
To determine the sample size needed for a given half-width of a confidence interval, we need to use the formula:
n = \((Z*σ / E)^2\)
where:
n = sample size
Z = the Z-score associated with the desired level of confidence (e.g., for 95% confidence, Z = 1.96)
σ = the population standard deviation (if unknown, we can use the sample standard deviation as an estimate)
E = the maximum desired half-width of the confidence interval
Without additional information, we cannot determine the population standard deviation. However, we can use a conservative estimate based on the maximum range of the data. Suppose the maximum range of the player's weight is 100 pounds, then we can use a standard deviation of σ = 100/4 = 25 pounds (assuming a normal distribution).
Using the given half-width of E = 4.73 pounds and a desired confidence level of 95%, the Z-score is 1.96.
Substituting these values into the formula, we get:
n = \((Zσ / E)^2\) = \((1.9625 / 4.73)^2\) ≈ 105
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If I have a circle that has a radius of 8inches, explain how to find the circumference of the circle?
Answer:
The circumference is 50.24 in
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
theta with hat on top subscript 1 and theta with hat on top subscript 2 are unbiased estimators of the same parameter theta. what condition must be imposed on the constants k subscript 1 and k subscript 2 so that the quantity 10 k subscript 1 theta with hat on top subscript 1 plus 10 k subscript 2 theta with hat on top subscript 2 is also an unbiased estimator of theta?
The scaled values sum up to 1/10.
How to find unbiased estimator?For a linear combination of unbiased estimators to be unbiased, the coefficients must add up to 1. That is:k subscript 1 + k subscript 2 = 1
E[10 k subscript 1 theta with hat on top subscript 1 + 10 k subscript 2 theta with hat on top subscript 2] = 10 k subscript 1 E[theta with hat on top subscript 1] + 10 k subscript 2 E[theta with hat on top subscript 2]
Since both estimators are unbiased, we have:E[theta with hat on top subscript 1] = theta
E[theta with hat on top subscript 2] = theta
Substituting these values into the above equation, :E[10 k subscript 1 theta with hat on top subscript 1 + 10 k subscript 2 theta with hat on top subscript 2] = 10 k subscript 1 theta + 10 k subscript 2 theta = theta (10 k subscript 1 + 10 k subscript 2) = theta
k subscript 1 + k subscript 2 = 1
10 k subscript 1 + 10 k subscript 2 = 10
Dividing both sides by 10:k subscript 1 + k subscript 2 = 1
k subscript 1/10 + k subscript 2/10 = 1/10
Therefore, their sum is equal to 1, and their scaled values sum up to 1/10.
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PLEASE HELP, TWENTY POINTS PLUS BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...
write the first six cube if natural number
Answer:
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
Step-by-step explanation:
Answer:
The cube of first six natural numbers are
1, 8, 27, 65, 125, 216
Step-by-step explanation:
Natural Numbers are known as 1, 2, 3, 4, ..., ∞
Now,
For Cube of first six natural numbers
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
Thus, The cube of first six natural numbers are
1, 8, 27, 65, 125, 216
-TheUnknownScientist
what are 2 equations for d 2 miles and t 30 minutes
two equations are: v = u + 0.5a and (v)² = (u)² + 4a.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the distance traveled by an object in t = 30 minutes is 2 miles
Let "v" be the final velocity of an object,
"u" be the initial velocity of an object,
and "a" be the acceleration of an object.
From the standard velocity equation:
final velocity = initial velocity + acceleration * time.....(1)
(final velocity)² = (initial velocity)² + 2*acceleration * distance....(1)
From equation (1)
v = u + a*30 minutes
time in hours,
v = u + 0.5a
From equation (2)
(v)² = (u)² + 2*a* 2
(v)² = (u)² + 4a
therefore, two equations are: v = u + 0.5a and (v)² = (u)² + 4a.
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find the value of 25-4y when y= 4/5
4 x 4/5 = 3 1/5
25 -3 1/5 = 109
Answer = 109
Answer:
21.8
Step-by-step explanation:
25-4y
25-4(4/5)
25-3.2
21.8
Find the smallest number a such that A + BB is regular for all B> a.
The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.
A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.
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The segments shown below could form a triangle.
Answer:
A.true
Step-by-step explanation:
:)
Answer:
False
Step-by-step explanation:
the Triangle Sum Inequality states that the sum of any two sides is greater than the third
since 9+4 is not greater than 15, the answer to the question is no, these segments could not form a triangle
four consecutive integers sum to 22 what is the least of these integers
Answer:
4
Step-by-step explanation:
To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.
(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)
4 is the smallest of these four, and thus the least of these.
If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00
Answer:
1200
Step-by-step explanation:
15/18 * 1000/x
x = 1200
Answer:
1200 minute / 20 hour
Step-by-step explanation:
\(1000 \times 18 = 18000\)
\(18000 \div 15 = 1200\)
Find the difference. (k2−7k+2)−(k2−12)
Answer:
-7k + 14
Step-by-step explanation:
(k² - 7k + 2) - (k² - 12)
k² - 7k + 2 - k² + 12
k² - k² - 7k + 2 + 12
-7k + 14
melissa is beginning an investigation of an older apple computer. she wants to determine when the system volumes were created. what is the best way for her to approach discovering this data?
To determine the creation date of system volumes on an older Apple computer, and the most effective methods for obtaining this information, such as checking file metadata or using file recovery tools.
How to determine the creation date of system volumes?The best way for Melissa to approach discovering the creation date of the system volumes on an older Apple computer would be to check the file metadata.
File metadata includes information about when a file was created, modified, or accessed, and can be accessed by;
right-clicking on the file and selecting "Get Info" or by using the Terminal command "ls -l" in the directory where the system volumes are located.
Alternatively, Melissa could use a file recovery tool such as Disk Drill or EaseUS Data Recovery to scan the hard drive for deleted files that may contain information about the creation date of the system volumes.
It is important to note that using file recovery tools can potentially overwrite or corrupt existing data, so caution should be exercised when using these tools.
If Melissa is unable to find the creation date of the system volumes through these methods, she could also try contacting Apple support or consulting online forums for assistance
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What type of sample does personal experience generate?.
Personal experience generates firsthand knowledge that is derived from an individual's direct involvement or observation of a particular event, situation, or phenomenon. This type of sample is unique to each person and provides a subjective understanding of the subject matter.
Personal experience is an essential source of learning and understanding as it allows individuals to gain insight, develop skills, and form opinions based on their own encounters. It can provide a deep understanding of emotions, perspectives, and nuances that cannot be fully grasped through secondhand information. Personal experiences are often considered valuable as they offer authenticity and a sense of relatability, enabling individuals to connect with others on a personal level. Additionally, personal experiences can serve as a foundation for personal growth and development, shaping one's beliefs, values, and decision-making processes.
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2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n + 1.20m represent? What does the entire expression represent? Interpret the meaning of the term 1.4n. What does the coefficient 1.4 represent? Interpret the meaning of the term 1.20p. What does the coefficient 1.20 represent?
Answer: 1.4n represents the cost of n packages of pels.
1.20m represents cost of m pads.
Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.
Meaning of 1.4n = cost of n packages of pels.
Meaning of 1.20 m = represents cost of m pads.
where , 1.4 = Cost per package of pels
1.2 =Cost per pad of paper
Step-by-step explanation:
Given: Cost per package of pels = $1.40
Cost per pad of paper = $1.20
Number of packages of pels bought = n
Number of pads of paper bought = m
So, 1.4n represents the cost of n packages of pels.
1.20m represents cost of m pads.
Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.
Meaning of 1.4n = cost of n packages of pels.
Meaning of 1.20 m = represents cost of m pads.
where , 1.4 = Cost per package of pels
1.2 =Cost per pad of paper
How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.
Answer:
C
Step-by-step explanation:
The graphs are reflected across the y-axis.
Matthew is standing near a flag pole as shown in the picture. There is a support wire that has been place on the ground to the top of the pole. He is 10 feet away from where the wire meets the ground. If Matthew is 6 feet tall, how tall is the flag pole?
A.51 feet
B.16 feet
C.60 feet
D.142 feet
Answer:
60
Step-by-step explanation:
10 x 6 is what?
Took the test :p
The sum of the interior angle measures for the first 5 regular polygons is shown in the table.
Answer:
equation: 180+180(n-3)
answer: n=1,800
Step-by-step explanation:
Equation:
You can see that each time a side is added, 180 is added to the sum of degrees.
But since you start with 3 sides, you need to subtract that from your number that you are going to plug in.
you also start with 180 degrees, so you have to add that to the other 180 that is always added on
(dont know if any of that made sense)
Answer:
plug in n=12 into the equation
180+180(n-3)
|
\/
180+180(12-3)
180+180(9)
180+1,620
1800
(sorry complicated)
Find dy/by implicit differentiation, given that x^2y– 7y7 =-5. Your answer could involve both I and y. Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). dy/dx = _____
To find dy/dx by implicit differentiation, we need to use the chain rule and product rule. Let's first differentiate both sides of the given equation with respect to x.
d/dx ([x^{2}[/y – 7y^7) = d/dx (-5)
Applying the product rule, we get:
(2xy + x^2(dy/dx)) - 7(7y^6)(dy/dx) = 0
Simplifying and rearranging, we get:
dy/dx = (-2xy)/(x^2 - 49y^6)
Therefore, dy/dx involves both x and y. To enclose numerators and denominators in parentheses, we can write the final answer as:
dy/dx = (-2xy)/((x^2) - (49y^6))
In simpler terms, the rate of change of y with respect to x is equal to -2xy divided by the difference between x squared and 49y to the power of 6.
Implicit differentiation is a useful tool when we cannot directly isolate y in terms of x in an equation. By using differentiation rules, we can still find the rate of change of y with respect to x. In this case, we have found the derivative of y with respect to x in terms of x and y, given an implicit equation.
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Consider similar figures QRS and TUV below where QRS is the pre-image of TUV
What is the scale factor?
Answer:
The scale factor is 2.5 to 1 which is 1/2.5
Step-by-step explanation:
Here, we want to get the scale factor in the given image
The scale factor we want to get is from the big to the small triangle
To get this, we find the ratio of the sides which are the same
Thus, we have ;
7/2.8 = 2.5
So the scale factor in this case is 2.5 to 1
PLEASE HELP I NEED THIS ASAP ! 100 POINTS!!
A newspaper article about an opinion poll says that "53% of Americans approve of the president's overall job performance." The poll is based on online survey interviews with 1,350 adults randomly chosen from a numbered list of one million responses from around the United States, excluding Alaska and Hawaii.
Part A: What is the population and sample in this poll? (3 points)
Part B: What type of sampling is used? (3 points)
Part C: Are there any sources of bias present? Explain. (4 points)
Answer:
Part A: The population are the American adult citizens, excluding the ones from Alaska and Hawaii. The population is the people which the sample is trying to represent, as a hole.
The sample is a portion of this population, and in this case is represented by a randomly selected amount of people whose response to the interview has been selected.
Part B: The sample here has been selected in two steps. The first step is the one that we must pay attention to: the numbered list of one million responses from around the US (excluding Alaska and Hawaii). Because these responses were obtained by an online survey, the sample looks like a convenience sampling, as it depends on the availability and willingness from participants to take part of the study (is not compulsory for everyone, so not everyone is going to response, then there are people that is not going to be represented by). The second step is the random selection of a part of the previous responses. This last part will ensure that, the individuals that took part of the group that was interviewed, are well represented in the results.
Part C: As it was mentioned, there is a selection bias, because the information from the sample comes from a specific group of people that has certain features that may not represent all American adults citizens. For example, the opinion of those people who do not use internet, will not be considered (and they may be a large number of persons). This situations weaken the conclusions obtained in the study, as they are not representative of the hole population.
Step-by-step explanation:
a sphere has a radius r=12 inches. What is it’s approximate volume
Answer: 7238.28
Step-by-step explanation:
Someone help!!!!!! Look at the picture below
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1)?
Answer:
y=4/5x+-11/5
Step-by-step explanation:
might no be but im sleepy so
Answer:
y=4/5x−11/5
Step-by-step explanation:
Just took the test
Is 165 divisible by 15?
Yes, 33 x 5 = 165
165 / 5 = 33
Use words to write 520783106. Be sure to use any needed commas and hyphens.
Answer:
[See Below]
Step-by-step explanation:
✦ Five hundred twenty million, seven hundred eighty-three thousand, one hundred six.
This is the written form of \(520783106\).
~Hope this helps Mate. If you need anything feel free to message me.
What is the relative frequency of ages 65 to 69? round your answer to 4 decimal places
1. The percentage of CEOs who are 59 years or younger: 57.5% 2. The relative frequency for ages 65 to 69: 0.1096 3. The cumulative frequency for CEOs over 55 years in age: 51
To answer these questions, we need to calculate the total number of CEOs and perform some calculations based on the given data. Let's proceed step by step:
Step 1: Calculate the total number of CEOs.
The total number of CEOs is the sum of the frequencies for each age group:
Total CEOs = 4 + 3 + 15 + 20 + 21 + 8 + 2 = 73
Step 2: Calculate the percentage of CEOs who are 59 years or younger.
To determine the percentage, we need to find the cumulative frequency up to the age group of 59 years and divide it by the total number of CEOs:
Cumulative frequency for CEOs 59 years or younger = Frequency for age 40-44 + Frequency for age 45-49 + Frequency for age 50-54 + Frequency for age 55-59
= 4 + 3 + 15 + 20 = 42
Percentage of CEOs 59 years or younger = (Cumulative frequency for CEOs 59 years or younger / Total CEOs) * 100
= (42 / 73) * 100
≈ 57.53%
Rounded to the nearest tenth, the percentage of CEOs who are 59 years or younger is 57.5%.
Step 3: Calculate the relative frequency for ages 65 to 69.
To find the relative frequency, we need to divide the frequency for ages 65 to 69 by the total number of CEOs:
Relative frequency for ages 65 to 69 = Frequency for age 65-69 / Total CEOs
= 8 / 73
≈ 0.1096
Rounded to four decimal places, the relative frequency for ages 65 to 69 is approximately 0.1096.
Step 4: Calculate the cumulative frequency for CEOs over 55 years in age.
The cumulative frequency for CEOs over 55 years in age is the sum of the frequencies for the age groups 55-59, 60-64, 65-69, and 70-74:
Cumulative frequency for CEOs over 55 years = Frequency for age 55-59 + Frequency for age 60-64 + Frequency for age 65-69 + Frequency for age 70-74
= 20 + 21 + 8 + 2
= 51
The cumulative frequency for CEOs over 55 years in age is 51.
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The complete question is:
Forbes magazine published data on the best small firms in 2012. These were firms which had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table below shows the ages of the chief executive officers for the first 73 ranked firms
Age:
40-44
45-49
50-54
55-59
60-64
65-69
70-74
Frequency:
4
3
15
20
21
8
2
1. What percentage of CEOs are 59 years or younger? Round your answer to the nearest tenth.
2. What is the relative frequency of ages 65 to 69? Round your answer to 4 decimal places.
3. What is the cumulative frequency for CEOs over 55 years in age? Round to a whole number. Do not include any decimals.
Geoff goes to the shop and buys a packet of crisps for 25p, a can of soup
for 68p and a watermelon for £1.47. He pays with a £5 note. How much
change does he get? Give your answer in pounds (£).
CRISPS
Salt & Vinegar
25p
SOUP
68p
£1.47
Answer:
Step-by-step explanation:
Geoff is feeling peckish, so he decides to pop into the shop and grab some snacks. He picks up a packet of crisps for 25p, a can of soup for 68p and a watermelon for £1.47. He wonders why the watermelon is so cheap, but he doesn't question it. He goes to the cashier and hands over a £5 note. The customer behind Geoff wonders "how much change does he get back?"
To figure this out, we need to add up the price of the snacks and take it away from the money Geoff gave. We can use a dot to show the pence as parts of a pound. For example, 25p = 0.25 pounds.
The price of the snacks is:
0.25 + 0.68 + 1.47 = 2.40 pounds
The money Geoff gave is:
5.00 pounds
The change is:
5.00 - 2.40 = 2.60 pounds
So, Geoff gets £2.60 in change and a bargain watermelon.
Answer:
Answer:
2.60
Step-by-step explanation:
25+68+147=240
500-240=260
turn into pounds 2.60
Step-by-step explanation: