The mean, median, and mode for the monthly salary dataset is 1794, 1790, and 1940 respectively.
How to find the mean, median and mode of any dataset?
As there are 10 data in set, then mean is
\(Mean = \frac{Sum\ of\ Observations}{Number\ of\ Observations}\)
\(Mean = \frac{1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600}{10} \\\\Mean =\frac{17940}{10} \\\\Mean = 1794\)
Let's find the Median for the same after arranging in ascending order,
1540,1600,1660,1720,1760,1820,1860,1940,1940,2100
\(Median = \frac{Sum\ of\ the\ two\ mid\ values}{2}\)
\(Median = \frac{1760 + 1820}{2}\\\\Median = \frac{3580}{2}\\\\Median = 1790\)
And the mode is the data which occurs maximum times i.e. 1940 (occurs twice)
As the employee receives a 5% raise then mean, median and mode will increase by 5%.
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2. Find the Surface Area and use
2 cm
3 cm
se 2/2 for It
Hence, the surface area of the circle with a 2 cm radius is roughly 12.56 cm2.
What are diameter and radius?The radius of a circle is the separation between its centre and circumference. Always, the diameter is twice the radius. As a result, the formula is created by multiplying the diameter by two.
A = \(r^{2}\), where "A" stands for the circle's surface area, "" is pi (about equal to 3.14), and "r" is the circle's radius, gives the surface area of a circle.
The formula to calculate surface area can be changed to reflect the fact that the circle's radius is 2 cm:
A = π\(r^{2}\)
A = π\((2cm)^{2}\)
A = π(4\(cm^{2}\))
A = 12.56 \(cm^{2}\) (rounded to two decimal places) (rounded to two decimal places)
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please help!!! urgent!!! question above ^
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
sorry if its wrong!
Solve (round to two decimal places)
can someone please help me!
Kennedy needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $58 for parts. The total was $226.75. Write and solve an equation which can be used to determine 2, the cost of the labor per hour.
Answer:
12.056
Step-by-step explanation:
Answer:12.056
Step-by-step explanation:
What is m∠PQR
need ASAP
Answer:
134
Step-by-step explanation:
Its 134, i did the math and my old answer had the explanation, but someone deleted it.
Which of the following is a true statement
HELP what is the slope of the line? there’s a picture ^^
Answer: 4/5x
Step-by-step explanation:
the polygons in each pair are similar. find the scale factor of the smaller figure to the larger figure.
Answer:
smaller figure/larger figure = 3/12 = ¼
Step-by-step explanation:
Scale factor = Smaller figure side length / corresponding side length of the larger figure.
Length of a side of the smaller figure = 3
Corresponding Length of a side of the larger figure = 12
Scale factor = smaller figure/larger figure = 3/12 = 1/4
Solve for x in the equation x2 - 4x-9= 29.
Give the function [question in image] find and simplify the difference quotient
The difference of the given function is 245 or 235, depending on how the expression is interpreted.
To find and simplify the difference of the function f(x) = 312 - 72 - 5, we need to perform the arithmetic operations in the given expression.
First, let's simplify the subtraction inside the parentheses:
72 - 5 = 67
Now, we can substitute this simplified value back into the expression:
f(x) = 312 - 67
Next, we perform the subtraction:
312 - 67 = 245
Therefore, the difference of the function f(x) = 312 - 72 - 5 is 245.
It's important to note that in the given expression, there seems to be a redundancy in the subtraction operation. The expression "312 - 72 - 5" is equivalent to "312 - (72 + 5)" since subtraction is associative. Therefore, the simplified expression would be "312 - 77", which results in the same value of 235.
In summary, the difference of the given function is 245 or 235, depending on how the expression is interpreted.
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What is the area of a rectangle with a length of 14.4 inches and a width that is one-third of the length?
A .43.2 in.2
B .51.84 in.2
C .69.12 in.2
D .103.68 in.2
Answer:
C.
Step-by-step explanation:
The area of a rectangle is typically written as:
\(A = l x w\)
where: l represents the length and w represents the width.
Since, in the given problem, we already know the value of the length which is 14.4 inches, and the value of width is one-third of the length. Thus, the width would be:
\(= (14.4)(\frac{1}{3})\\= \frac{24}{5} \\= 4.8 inches\)
We will simply substitute this value to the formula to get the area.
\(A = lxw\\A = (14.4)(4.8)\\A = 69.12 in^{2}\)
Answer:
its c i did this test
Step-by-step explanation:
Julia had 164 apples. She gave her friend 30 apples.
Answer:
134
Step-by-step explanation:
164 minus 30 equals 134. Julia has 134 apples left after giving her friend 30 of them.
Answer:
if your asking how much she has in all it would be 134
Step-by-step explanation:
Because
164
30-
____
134
alexio has $100$ cards numbered $1$-$100$, inclusive, and places them in a box. alexio then chooses a card from the box at random. what is the probability that the number on the card he chooses is a multiple of $2$, $3$ or $5$? express your answer as a common fraction.
Answer:
37/50
Step-by-step explanation:
You want the fraction of integers in the range [1, 100] that are divisible by 2, 3, or 5.
DivisibilityAttached is a Venn diagram showing how the divisibility of numbers from 1 to 100 stacks up. Circle A includes all 50 numbers divisible by 2; Circle B counts all 33 numbers divisible by 3; and Circle C counts the 20 numbers divisible by 5.
Where the circles overlap, there are counts of the numbers divisible by the relevant combination of factors. For example, there are 3 numbers divisible by 2, 3, and 5. (They are 30, 60, 90.)
ProbabilityIn all, there are 74 numbers in the range 1–100 that are divisible by 2, 3, or 5.
The probability that a card chosen at random will have a number divisible by 2, 3, or 5 is 74/100 = 37/50.
P( 2, 3, or 5 divides N) = 37/50.
__
Additional comment
Roughly, the number of numbers in range [A, B] divisible by n is (B -A)/n. This is how we arrived at the counts shown in the attachment. For example, There are 100/(2·5) = 10 numbers divisible by both 2 and 5. Of those, there are 10/3 = 3 divisible also by 3. So, the number 3 is found in the area ABC, and the number 10-3=7 is found in the area AB'C.
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A cylinder
has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height as the cylinder?
Step-by-step explanation:
i already done it.thank you
Multiply and simplify if possible. (2sqrt3x -2)(3sqrt3x +5)
show work
The expression is simplified to give 2(9x + 2√3x - 5)
How to determine the valueFirst, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms
From the information given, we have that;
(2√3x - 2)(3√3x + 5)
expand the bracket, we get;
6√9x² + 5(2√3x) - 6√3x - 10
Find the square root factor
6(3x) + 10√3x - 6√3x - 10
collect the like terms, we have;
18x + 4√3x - 10
Factorize the expression, we have;
2(9x + 2√3x - 5)
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A bag contains 2 blue marbles, 2 red marbles, and 2 yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15 times, how many times should she expect to pull a yellow marble?
Enter your answer as a number, like this: 42
Answer:
a number, like this 42
Step-by-step explanation:
you kinda told me to put that lol. no the answer should me 15
Describe the difference between null vs alternative hypothesis
Statistical hypothesis testing employs the null and alternate hypotheses.
The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.
A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.
Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.
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What is the probabillity ?
Answer: the chance that a given event will occur
Step-by-step explanation:
please help w ccorrect answer !! I'll mark brainliest
Answer:
x = 146°
Step-by-step explanation:
The 34° angle and the angle marked x are same side interior angles. They are supplementary which means the angles should add up to 180°
34 + x = 180
Subtract 34.
x = 146
Which of the following expressions are equivalent
Answer:
A and B
Step-by-step explanation:
A and B are the correct options
Chose the best mental math method to find 7% of $1000.
Select the correct response:
(5% of $1000 is $50) + ( 1% of $1000 is $10) + ( 1% of $1000 is $10) which totals $70
(10% of $1000 is $100) + (5 % of $1000 is $50). Take % of total of $150 is $75
(10% of $1000 is $100) - (5% of $1000 is $50). Multiply by 2 which totals $100
This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.To find 7% of $1000, there are various mental math methods that one can use. One of the best methods is to use a combination of the 5% and 1% methods. Here's how to do it:
Step 1: Find 5% of $1000
5% of $1000 is $50
Step 2: Find 1% of $1000
1% of $1000 is $10
Step 3: Add the two values together
$50 + $10 = $60
Step 4: Find 1% of $60
1% of $60 is $0.60
Step 5: Multiply $0.60 by 7 to get the final answer
$0.60 x 7 = $4.20
Therefore, 7% of $1000 is $4.20.
This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.
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Given the following information, what would utilization be? Effective capacity \( =20 \) units per day Design capacity \( =60 \) units per day Actual output \( =15 \) units per day A. \( 1 / 3 \) B. \
Utilization is the percentage of actual output from a system in comparison to its design capacity. Given the following information, what would utilization be? Effective capacity = 20 units per day Design capacity = 60 units per day Actual output = 15 units per day.
The correct option is- C. 25%.
The utilization would be \(\frac{15}{60}\) = 0.25 or 25%.Therefore, the correct option is C. 25%. It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification.
Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.
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PLEASE ANSWER ASAP I AM GIVING 75 POINT and will mark as brainliest.
I WILL GET A ZERO IF NO ONE HELPS ME.
include graph as well. thank you and DONT SPAM ANSWERS IF YOU HAVE A QUESTION JUST COMMENT AND DONT WASTE THE ANSWERS. ty
Answer:
The domain is real numbers
range from 1 to infinity
as x approaches infinity, f(x) approaches infinity
as x approaches negative infinity, f(x) equals 1
y-intercept is 1
asymptote is 10
solve for x and y simultaneously:
(3x-9y)²+(x+15)²=0
Answer:
\(x = \frac{3(3iy+9y-5+15i)}{10}\)
\(y= -\frac{xi}{9} - \frac{5i}{3} + \frac{x}{3}\)
Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second.
Answer: 16 cups per second.
Step-by-step 5.5 minutes into seconds 320.
620 gallons into cups 9920.
9920 divided by 320 seconds.
16 cups per second
4 773 nearest hundred
Answer:
4800
Step-by-step explanation:
4773
The 3 is the ones digit.
The 7 to the left of the 3 is the 10s digit.
The 7 (in bold) to the left of the other 7 is the hundreds digit.
1. Make all digits to the right of the hundreds digit 0.
4700
2. We need to find out if we end up with 4700 or 4800.
Since the digit just to the right of the hundreds digit is greater than 4 (it is the tens digit which is a 7), then the hundreds digit 7 must go up 1 to 8.
Answer: 4800
Please help! I’m not sure how what this is called please help! Will mark right answer as brainliest
Answer:
\(\frac{7}{3}\) or 2 \(\frac{1}{3}\)
Step-by-step explanation:
entered it into my calculator
explain how a number line can be used to compare two negative integers.
On a number line, plot the negative integers. The number that is further to the left will be less than the other.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have to explain how a number line can be used to compare two negative integers.
Integers are whole numbers they can be negative whole numbers or positive whole numbers for example 2, 4, 1, -8, 0, etc.
Plot the negative integers on a number line. It will be smaller than the other number if it is further to the left.
The numbers always go up (become "more positive") to the right and down (become "more negative") to the left on a number line. Numbers to the right are bigger than numbers to the left, and the opposite is true the other way around.
Thus, on a number line, plot the negative integers. The number that is further to the left will be less than the other.
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please help me im struggling in math
Corresponding angles theorem states that parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
To prove m∠ = m∠2.
Then,
m∠3 + m∠2 = 180m∠1 + m∠3 = 180m∠1 = m∠2How to prove corresponding angles?The corresponding angles theorem states that If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding angles are formed when a transversal passes through two lines.
As we know that line segment m is parallel to the line segment n.
m || n .
Hence,
m∠3 + m∠2 = 180 (same interior angles)
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Same side interior angles are supplementary.
m∠1 + m∠3 = 180(sum of angles on a straight line)
Angles on a straight line is supplementary.
So, by transitive property of equality, we get:
m∠ = m∠2
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Find the value of (2^2)^3. Then find the value of (2^3)^2. what is true about the results? Explain why.
Answer:
(2^2)3 = 2^6
(2^3)2 = 2^6
Step-by-step explanation:
There are various exponent rules. The problems that you were assigned must follow the power of a power rule:
(x^a)^b = x^a*b
Exponents must be multiplied according to this rule. Hope this helps.