Answer:
Mean = 93.3 ( to nearest tenth).
Median = 97.
Mode = 97.
Step-by-step explanation:
Arrange the data in ascending order:
79 82 87 91 93 97 97 98 99 101 102
There are 11 numbers.
The Median is the center value (= the 6th number) = 97.
The mode = highest occurring value = 97.
The mean = sum / 11 = 93.3.
A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Step-by-step explanation:
let (-2,4)=(x1,y1)
given eqn: y=4x+11
comparing with y=mx+c
slope (m)=4
now using point and slope form,
(y-y1)=m (x-x1)
(y-4)=4 (x+2)
y-4=4x+8
4x-y+12=0 is required eqn.
Answer:
slope: 4
y - 4 = 4(x + 2)
y - 4 = 4x + 8
y = 4x + 12
Which of the following is equivalent to the complex number i^{34}
Choose 1 answer:
(Choice A) 1
(Choice B) i
(Choice C) -1
(Choice D) -i
Answer:
Choice C, -1
Step-by-step explanation:
The trick here is to look at this as a pattern.
[tex]\sqrt{-1}[/tex] is i to the 1st power.
[tex]-1[/tex] is i to the 2nd power.
[tex]-\sqrt{-1}[/tex] is i to the 3rd power.
[tex]1[/tex] is i to the 4th power.
So what we do to solve something like this is divide the power by 4, and see how far away the number is from the pattern.
In other words, we divide, and our remainder is how many powers to count up to (a remainder of 0 is the 4th power).
So 34/4 = 8 with a remainder of 2. Therefore, it's i to the 2nd power, which is -1.
The following expression models the total cost of the field trip ,where x represents the number of students 80r What does the constant term in the above expression represents?
Answer:
no of students by cost per student?
Answer:The cost of the if 0 students signed up
Step-by-step explanation:I got the answer right :)
Where do I plot those fractions
Answer:
plot decimal values
Step-by-step explanation:
One approach is to convert them to decimal using your calculator or long division:
3/4 = 0.75
7/9 ≈ 0.78
1/2 = 0.50
2/3 ≈ 0.67
Since the number line has 0.1 increments, you can place each value in between the right increments. For instance 3/4 you place between 0.7 and 0.8. You place it halfway because 0.75 is halfway between 0.7 and 0.8. It's ok to estimate the exact location in this case.
Answer:
Step-by-step explanation:
You and three friends go to a restaurant for dinner. you share three appetizers that cost $6 each. You also share two desserts that cost $3 each. You split the total bill evenly. How much does each person pay?
Answer:
So you add 18 and 6 that’s 24 then divide it by 4 because you and your friends go and that would be 5
Step-by-step explanation:
Round the following numbers to 1 decimal place.
a)
27.564
b)
978.299
c)
42.935
d)
8.99
Answer:
a)27.6
b)978.3
c)43.0
d)9.0
Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) os located at (-2,1). What is the distance from B to B'?
Answer:
The distance from B to B' is 5 units
Step-by-step explanation:
The complete question is
Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?
we know that
In a translation the figure maintains its dimensions and internal angles
so
AA'=BB'=CC'=DD'
The distance BB' is the same that the distance AA'
Find the distance AA'
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
A(1,5),A'(-2,1)
substitute in the formula
[tex]AA'=\sqrt{(1-5)^{2}+(-2-1)^{2}}[/tex]
[tex]AA'=\sqrt{(-4)^{2}+(-3)^{2}}[/tex]
[tex]AA'=\sqrt{25}[/tex]
[tex]AA'=5\ units[/tex]
therefore
The distance from B to B' is 5 units
The present value of a house is $242.000. The value of the house increases at the rate of
every year. A function is shown below
10%) = 242.000(1.047
What does f(x)represent?
Answer: The future value of the house after x years
Step-by-step explanation:
Estimate the difference between 957-639
Answer:
320
Step-by-step explanation:
When estimating, you have to round numbers to make them easier to work with.
957 becomes 960
639 becomes 640.
960 - 640 = 320
Answer:
Step-by-step explanation:
Higher Order Thinking Suppose that solving
a system of equations algebraically gives the
following result: 0 = 0
What does this mean graphically?
Answer:
It means it's an infinite solution.
Is that what you meant? I apologize if it wasnt.
Since the system of equations algebraically gives this result: 0 = 0, graphically it means it has infinitely many solution.
What are infinitely many solutions?In Mathematics and Geometry, an equation is said to have an infinitely many solution (infinite number of solutions) when the left hand side and right hand side of the equation are the same or equal.
By critically observing the solution to the system of equations, we can reasonably infer and logically deduce that it has infinitely many solution (infinite number of solutions).
In conclusion, every point located on the graph of this line would satisfy the equation as shown in the image attached below.
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Follow the steps to find the quotient. Please help !
Answer:
41
Step-by-step explanation:
1. Look at the first digit and ask yourself: is this divisible by 8? (3 is not so you look at the next one)
2. 8 goes into 32 evenly 4 times (put 4 at the top)
3. Subtract 42
4. Drag down the 8
5. Does 8 go into 8? (Yes!)
6. Put one at the top and subtract to get zero
7. Answer is at the top: 41
Answer:
Nothing goes into 3
8 goes into 32 four times (8 times 4= 32) so that means you'd put 4 on top of 2
then you bring down the 8 and 8 goes into 8 once. (8 times 1= 8) so you'd put 1 on top of 8.
Now down below you'd put 32 below 32 since you subtract it.
I'm not sure what the 3 bottom ones are.
I think you'd put 8 in the first boxes then 0 cause 8=8 = 0.
good luck <3
answer is 41 <3
HELP I WILL GIVE BRAINLIEST
Brianna practices the piano 30 minutes per day.
a. Write an expression for the number of hours she practices in d days.
b. Find the number of hours Brianna practices in 2, 4 and 10 days.
Hey!
---------------------------------------
Part A:
30d (30 * d)
---------------------------------------
Part B:
Using the expression 30d we can solve how much time Brianna spent playing piano.
30(2) = 60 minutes (1 hour) in 2 days
30(4) = 120 minutes (2 hours) in 4 days
30(10) = 300 minutes (5 hours) in 10 days
---------------------------------------
Hope This Helped! Good Luck!
Answer with Step-by-step explanation:
Brianna practices the piano 30 minutes per day.
1 hour = 60 minutes
or 1 minute = 1/60 hour
30 minutes = 30/60 hours
= 0.5 hour
i.e. Brianna practices the piano 0.5 hours per day.
a. 0.5 hours per day means
0.5d hours in d days
Expression for the number of hours she practices in d days is: 0.5d
b. Number of hours she practices in 2 days = 0.5×2=1 hour
Number of hours she practices in 4 days = 0.5×4=2 hours
Number of hours she practices in 10 days = 0.5×10=5 hours
If you solve using the equation for the constant of proportionality, y/x = k, with k=4/5 and y = 2/3, what is the value of x?
A. X = -2/15
B. X = 8/15
C. X = 5/6
D. X = 1 1/5
[tex]\bf \cfrac{y}{x}=k\qquad \begin{cases} k=\frac{4}{5}\\ y=\frac{2}{3} \end{cases}\implies \cfrac{~~\frac{2}{3}~~}{x}=\cfrac{4}{5}\implies \cfrac{2}{3}(5)=4x\implies \cfrac{10}{3}=4x \\\\\\ \cfrac{10}{12}=x\implies \cfrac{5}{6}=x[/tex]
In this problem, we solve for 'x' in the equation for constant of proportionality, 'y/x = k', given that 'y' is 2/3 and 'k' is 4/5. Substituting these values in the equation and solving for 'x' gives the result 5/6.
Explanation:The question refers to the concept of the constant of proportionality which is a key topic in mathematics. We have an equation, y/x = k, where k is the constant of proportionality. Here, we have been given that y = 2/3 and k = 4/5. If we substitute these values into the equation, we will be able to solve for x.
To solve for x, we rearrange the equation by multiplying both sides by x and then dividing by k. This leaves us with an equation in terms of x: x = y/k. Substituting the given values, we get x = (2/3) / (4/5) = 5/6. So, the correct answer according to the provided options is C. X = 5/6.
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How to simplify 20/10
In order to get the answer to this question you will have to find the common factor and then divide the numerator and denominator by the common factor to get the answer.
[tex]\frac{20}{10}[/tex]
[tex]CF=10[/tex]
[tex]20\div10=2[/tex]
[tex]10\div10=1[/tex]
[tex]\frac{2}{1} =2[/tex]
[tex]= \frac{2}{1} or2[/tex]
Therefore the answer is "2."
Hope this helps.
Which expression should replace the word numerator in the work shown
B: x-5 is expression should replace the word “numerator” .
Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!
Final answer:
To find the radius of the circle, we can use the properties of a right triangle to solve for GH. GH is approximately 10.39cm.
Explanation:
To find the radius of the circle, we can start by observing that the angle GHJ is 15°, and the side GK is 6cm. Since GK is a radius of the circle and it is perpendicular to JH, we can conclude that JH is a diameter of the circle. So, the length of JH is twice the length of GK, which is 12cm.
Now, we can use the properties of a right triangle to find the radius of the circle. We have a right triangle GHJ, where GH is the radius of the circle and JH is the hypotenuse. Using the Pythagorean theorem, we can solve for GH:
GH^2 + GK^2 = JH^2
GH^2 + 6^2 = 12^2
GH^2 + 36 = 144
GH^2 = 108
GH = sqrt(108)
GH ≈ 10.39cm
The radius of the circle is approximately 10.39cm.
How?? U have to simplify but how?
[tex]\bf \sqrt{49}+(3+2)^2\implies \sqrt{49}+(5)^2\implies \sqrt{49}+25\implies 7+25\implies 32[/tex]
Answer: 43
Step-by-step explanation:
You have to use P.E.M. D.A.S. (Parentheses, Exponents, multiplication, division, addition, and subtraction.)
Starting with parentheses, 3+2= 6
Moving onto exponents, 6 squared is thirty six. Square roots, being the opposite of squares, are also done here. The square root of 49 is 7.
Now you add. 36 +7
The answer should be 43, unless I’m mistaken.
Garland put 2b+ 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank. If he now has $477 in Thebes bank, how much did he put in the bank the first week?
Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips She made a total of $93 Write and solve an equation to determine how many hours she worked
Answer:worked 7 hours
Step-by-step explanation:
93 - 65 = 28
28/4 = 7 hours
Michelle worked for 7 hours on the weekend night based on the equation 4h + $65 = $93, where h represents the number of hours worked.
How many hours she worked?Let's denote the number of hours Michelle worked as "h". She earned $4 per hour for her work, so the total amount she earned from her hourly wage is 4h. Additionally, she earned $65 in tips.
So, the total amount she made can be represented by the equation:
Total earnings = Hourly wage + Tips
$93 = 4h + $65
Now, we can solve for the number of hours Michelle worked:
4h + $65 = $93
Subtract $65 from both sides:
4h = $93 - $65
4h = $28
Now, divide both sides by 4 to solve for "h":
h = $28 / 4
h = 7
Michelle worked for 7 hours on that weekend night.
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find the value of x and y. y=2x and 1.85x+3.7y=12.95
Answer:
x=1.4 y=2.8
Step-by-step explanation:
Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.
Simplifying by combining x: 9.25x=12.95
Then you just divide 12.95 by 9.25: x=1.4
Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.
calculate the exact value of
26.32+38.8/13.10- 11.56
Answer:
Step-by-step explanation:
28.32+38.8=65.12
13.10-11.6=1.56
65.12/1.56=41.7435897
How many standard deviations from the mean is considered unusual? Why?
Answer:
It depends on how the data are distributed.
Step-by-step explanation:
If the data follow a normal (Gaussian) distribution, which is the most common, then 2 deviations from the mean is considered unusual because less than 4.55% of the data are in this situation.
Please help! The following table shows the number of feet a helicopter flies above the ground as a function if time
Find and interpret the meaning of the x -interpret in this scenario
(10,0) the time it takes for the helicopter to reach the ground
(18,0) the time it takes the helicopter to take off
(10,0) the time it takes the helicopter to take off
(18,0) the time it takes for the helicopter to reach the ground
Answer:
18,0 the time it takes or the helicopter to reach the ground.
Step-by-step explanation:
if you look at the table, it slowly is decreasing, therefore it is going towards the ground.
Answer: The correct option is
(D) (18,0) the time it takes for the helicopter to reach the ground.
Step-by-step explanation: Given that the table shown in the picture gives the number of feet a helicopter flies above the ground as a function of time.
We are to find and interpret the meaning of the x -interpret in this scenario.
From the table, we note that
the graph of function f(x) will pass though the points (0, 18) and (2, 16).
So, the slope of the line graph of f(x) is
[tex]m=\dfrac{16-18}{2-0}=\dfrac{-2}{2}=-1[/tex]
Since the line passes through the point (0, 18), so its equation will be
[tex]y-18=m(x-0)\\\\\Rightarrow y-18=-1\timesx\\\\\Rightarrow y=-x+18.[/tex]
Now, to find x-intercept, we need to substitute y = 0 in the equation of the line.
So, at y = 0, we get
[tex]0=-x+18\\\\\Rightarrow x=18.[/tex]
Therefore, the required x-intercept is (18, 0) and is shows that the time taken by the helicopter to reach the ground is 18.
Thus, option (D) is CORRECT.
A function that has y-values with more than one corresponding x-value is
called a:
Answer:
Im not sure what the answers are on your test but its usually called a domain.
-
-
-
Let me know what the possible answers are if it is a multiple choice question!
Step-by-step explanation:
Answer: many-to-one function
Step-by-step explanation:
3y2 + 2xy + 1 + 3x + y + 2x2
Answer:
Simplified, it would be 2x^2+2xy+3y^2+3x+y+1 so that's your answer.
The given expression can not be simplified further.
The given expression is 3y² + 2xy + 1 + 3x + y + 2x².
What is an expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Now, the given expression can not be simplified further.
The degree of the given expression 3y² + 2xy + 1 + 3x + y + 2x² is 2.
Here, the coefficient of y² is 3, the coefficient of xy is 2, the coefficient of x is 3, the coefficient of y is 1 and the coefficient of x² is 2.
Hence, the given expression can not be simplified further.
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three times a certain number is 46 more than the number itself. Find the number.
Answer:
23
Step-by-step explanation:
3x=x+46
2x=46
x=23
23*3=69
23+46= 69
The number three times a certain number is 46 more than the number itself is 23.
What is mathematic expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the number be x :
then, three times the number will be = 3x
46 more than the number itself will be = x+46
Now it is given that three times a certain number is 46 more than the number itself that is :
3x = x +46
3x-x = 46
2x = 46
x = 46/2
x =23
Therefore, the number three times a certain number is 46 more than the number itself is 23.
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9. The upper atmosphere of Neptune can get as cold as
-218°C. The inner core of the planet can be as hot
as 7,000°C. What is the difference between the two
temperature extremes?
Answer: 7218
Step-by-step explanation: i mean you just add them up chief think of a number line that whole space between them
Please answer this correctly
Answer:
Ashley
Step-by-step explanation:
William scored more than Riley
So William>Riley
Ashley scored fewer than Riley
So William>Riley>Ashley
Lauren scored more than William
So Lauren>William>Riley>Ashley
A few years ago. Sarah acquired a parcel of land valued at $16,500. Today, that same parcel of land has a value of $17.820. Find the percent increase in the property's
value. Round your answer to the nearest hundredth, if necessary.
Answer:
8%
Step-by-step explanation:
Use formula
[tex]\text{Percent increase}=\dfrac{\text{New value - Old value}}{\text{Old value}}\cdot 100\%[/tex]
Old value = $16,500
New value = $17,820
Hence, the percent increase is
[tex]\dfrac{\$17,820-\$16,500}{\$16,500}\cdot 100\%=\dfrac{\$1,320}{\$16,500}\cdot 100\%=\dfrac{8}{100}\cdot 100\%=8\%[/tex]
0.08 is equal to 8%, the percent increase in the value of the property is 8%.
First, calculate the increase in the value of the property:
increase = 17820 - 16500
= 1,320
Next, calculate the percent increase by dividing the amount of the increase by the original value of the property and multiply by 100%:
percent increase = (1320 / 16500) * 100
percent increase = 0.08
Since 0.08 is equal to 8%, the percent increase in the value of the property is 8%.
Consumer behavior is the way that forces shape people's _____.
A.activities related to buying
B.place and time utility
C.culture and society
D.goods and services
Answer:
A.activities related to buying.
Explanation:
Consumer behaviors is the action and the decision process of the people who buy goods and services for their consumption that is why it is related to buying activities.
Consume behavior entertains the behavior of the consumer activities which is linked with the use, purchase, and consumption of goods and services, this behavior also includes mental and emotional behavior of the consumer.
Consumer behaviour is the way that forces shape people's place and time utility. Hence, option B is correct.
Consumer behaviour refers to the activities related to buying goods and services, as well as the influence of factors such as place and time utility, culture, and society on these actions.
It's interesting to observe how these forces shape people's purchasing decisions and preferences.
From understanding consumer preferences to studying the impact of cultural norms, consumer behaviour provides valuable insights into how individuals interact with the market.
Hence,
Option B. Place and time utility is correct.
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