The Mean Absolute Deviation is commonly known as MAD. The correct statement about the situation is D.
What is the Mean Absolute Deviation?The Mean Absolute Deviation, commonly known as MAD is the average of the difference between the mean and the data points, it can also be referred to as the average of the deviations of the data points from the mean.
Given Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.
As it is known that more MAD for data points means more deviation of the data points from the mean, while it is vice versa if it is less. Therefore, we can conclude Last month, the amount of rain that fell each day varied less than the month before.
Hence, the correct statement about the situation is D.
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The equation shows the relationship between x and y:
y = −9x + 5
What is the slope of the equation?
−14
−9
−4
5
Answer:
-9
Step-by-step explanation:
for linear equations, the show off the line is the coefficient of x.
in this case, the slope would be -9
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. find the range and domain of the relation. Please explain how you did it instead of just giving an answer.
pleasee quick
The domain of the relation is x = - 2 and the range of the relation is -2 ≤ y < 1
What is the range of a relation?The range of a relation is the possible values of the output of the relation.
What is the domain of a relation?The domain of a relation is the possible value of the input of the relation.
How to find the range and domain of the relation?Looking at the graph, we see the only value for x is x = - 2. Since this is the input of the relation.
So, the domain is x = - 2.
Looking at the graph, we see that the minimum value of y is at y = - 2 and its maximum value is at y = 1. Also, we see that the circle at y = - 2 is shaded, so that value of y is included but, the circle at y = 1 is not shaded, so y = 1 is not included.
So, the range is -2 ≤ y < 1
So, the domain of the relation is x = - 2 and the range of the relation is -2 ≤ y < 1
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Please show your work.
create a proportional ratio to the given ratio 5/8?
Answer:
10/16
5 can be divided into ten, and 8 can be divided into 16. They are both divided by two, thus creating a proportional ratio.
katie, stop deleting my answer =_=
Answer:
10/16
Step-by-step explanation:
The other person is right!
I hope this helps! Have a great day!
Lilac~
could you help me get the y intercept too
The slope =2 and y-intercept = -3.
What is slope?
Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined. The difference between the line's y and x coordinate changes is known as the slope of the line.Any two distinct places along the line can be used to determine the slope of any line.
Here let us take two points \((x_1,y_1)=(1.5,0) , (x_2,y_2)=(0,3)\) .
Now using slope formula then,
Slope m = \(\frac{y_2-y_1}{x_2-x_1}\)
=> m = \(\frac{3-0}{0-1.5} = \frac{3}{-1.5}=2\)
Now using equation formula then,
=> \(y-y_1=m(x-x_1)\)
=> y-0=2(x-1.5)
=> y = 2x-3
Here y=mx+b, where b= y-intercept.
Hence slope =2 and y-intercept = -3.
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TAKE MY POINTS PLEASE
The blanks that makes the equation true are filled as follows
2.777 * 4.333 = 12.03
What are repeating decimals?A repeating decimal are also called recurring decimal, is a time of decimal number with only digits that repeat after the decimal at regular intervals.
In mathematics, a repeating decimal is written in short form with an overline on the number that repeats
In the problem, the multiplicand has a repeating decimal of the form 2.777777.....
the multiplier has a repeating decimal of the form 4.3333333...........
the product of the multiplication has a repeating decimal of the form 12.037037037.......
hence
2.777... * 4.333.... = 12.03.....
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
Question 4 (1 point ) Tell whether the sequence is arithmetic. If it is, what is the common difference? 2,7,13,20,dots
a yes; 5
b yes; 6 c yes; 2 d no
The sequence is arithmetic. The common difference is 6. Answer: b
If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ... to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.
The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.
Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7
Therefore, the common difference d is 6.
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What is the measure of
Answer:
The measure is the measure that it is you forgot the picture
Step-by-step explanation:
which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither
Answer:
C (1,11) and (-1,-5)
Step-by-step explanation:
Evaluate the line integral, where
C
is the given curve.
∫ xyds,C:x2,y=2t,0≤t≤2
C
According to the given information the line integral is 8(1+125\(\sqrt{110}\)) / 15 .
What distinguishes a line integral from a definite integral?
Line integrals include several integrals across a curve, but definite integrals only entail a single integral over a specified interval. This is the primary distinction between the two types of integrals.
\(\int\limits_c {xy} \, ds\), C : x = t^2 , y = 2t, 0 ≤ t ≤ 3
x' = 2t , y' = 2
ds = \(\sqrt{(x')^2 + (y')^2}\)
\(\sqrt{4(t)^2 + 4}\)
\(\int\limits C {xy} \, ds\) = \(\int\limits^3_0 {2.2t.2\sqrt{1+t^2}} \, dt\)
t = tanθ
dt = (1+\(tan^{2}\)θ)dθ = (\(sec^{2}\)θ)dθ
= \(\int\limits^3_0 {4t^3\sqrt{1+t^2} } \, dt\)
= 8(1+125\(\sqrt{110}\)) / 15
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Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? a. H0 : μ< 0 minutes
H1 : μ= 0 minutes
b. H0 : μ= 0 minutes
H1 : μ> 0 minutes
c. H0 : μ= 0 minutes
H1 : μ< 0 minutes
d. H0 : μ= 0 minutes
H1 : μ≠ 0 minutes
If all the conditions are met to conduct a hypothesis test, the null and alternative hypotheses are given below:
Option d. H0 : μ= 0 minutes, H1 : μ≠ 0 minutes is the correct answer.
A statistical hypothesis test is a method of making a statistical decision using experimental data. Hypothesis testing is a way to infer about a population using data gathered from a sample. The process involves several steps, including stating the null and alternative hypotheses.
The first step in hypothesis testing is to state the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis represents the assumption that there is no significant difference or effect in the population. It assumes that any observed difference or effect is due to random chance.
In this case, the null hypothesis is stated as H0 : μ = 0 minutes, where μ represents the population mean. This means that the population mean is assumed to be zero minutes.
The alternative hypothesis (H1) is the hypothesis that contradicts the null hypothesis. It represents the possibility of a significant difference or effect in the population. In this case, the alternative hypothesis is stated as H1 : μ ≠ 0 minutes, indicating that the population mean is not equal to zero minutes.
The choice of the alternative hypothesis depends on the research question and the specific hypothesis being tested. It could be a two-tailed test, as indicated by the "≠" symbol in the alternative hypothesis, suggesting that the population mean could be significantly greater than or less than zero minutes.
After stating the null and alternative hypotheses, the significance level (α) is determined, which represents the probability of rejecting the null hypothesis when it is actually true. The significance level helps in making a decision about the null hypothesis based on the calculated test statistic and p-value.
In conclusion, option d. H0 : μ = 0 minutes, H1 : μ ≠ 0 minutes is the correct answer for the null and alternative hypotheses in this context.
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Compute the Taylor series for f(x)=tanx centered at x=0 up to the x5 term. This will involve differentiating tanx5 times and evaluating the answer at x=0. Since no one wants to do this by hand (trust me, you don't!), use Wolfram Alpha to compute these derivatives for you (it will also evaluate them at x=0 ). Then ask Wolfram Alpha to compute the Taylor series directly. Do your answers agree? Does your series contain odd powers of x, even powers of x, or both? Is tanx an odd function, an even function, or neither? Do these agree? Use Desmos to plot both tanx and your power series on the same graph. On what interval around the origin does your power series approximation "look good". (This is subjective. We will quantify this on the next homework). Hint: you can type stuff into Wolfram Alpha in plain English, and it will figure out what you are asking most of the time. (Also, if you are curious, there is a formula for this series with summation notation, but, unlike the Taylor series for ex and sinx, it is not a "nice" formula.)
The Taylor series for f(x) is f(x) = x + (1/3)x^3 + (2/15)x^5 . The Taylor series for f(x) = tan(x) centered at x = 0 can be computed by differentiating tan(x) multiple times and evaluating the derivatives at x = 0.
However, since this process can be quite tedious, it is more efficient to use computational tools like Wolfram Alpha to compute the derivatives and the Taylor series directly. Using Wolfram Alpha, the derivatives of tan(x) at x = 0 are:
f(0) = 1
f(0) = 0
f(0) = 2
f(0) = 0
f(0) = 16
Substituting these values into the formula for the Taylor series, we can compute the Taylor series for f(x) centered at x = 0 up to the x^5 term. The Taylor series for f(x) is:
f(x) = x + (1/3)x^3 + (2/15)x^5
Comparing this series to the Taylor series computed using Wolfram Alpha, we can see that they agree. The Taylor series contains only odd powers of x (x, x^3, x^5), while tan(x) is an odd function. This agreement between the series and the nature of tan(x) being odd is expected.
Using Desmos to plot both tan(x) and the power series approximation on the same graph, we can see that the power series approximation "looks good" around the interval [-π/2, π/2] (excluding the vertical asymptotes). Within this interval, the power series provides a reasonable approximation to the behavior of tan(x).
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An architect is designing a sandwich shop, as shown in the
diagram. The kitchen and dining room will be the same length
The length needs to be as great as possible. The length and width
of each room should be a whole number of meters.
a. What length and width should the architect use for the kitchen
and for the dining room? Show your work
The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.
How to find the length of the rooms?Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).
50: 50 25 10 5 190: 90 45 30 18 15 10 9 6 5 3 2 1The greatest common number is 10, so 10 meters is the length of the room.
How to find the width?Use the formula
A = lenght x width or width = area / lenght
Kitchen.
Width: 50 / 10Width: 5 metersDining room:
Width: 90 / 10Width: 9 metersNote: In this question the diagram is missing; below, I attach the diagram.
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let the ratio of two numbers x+1/2 and y be 1:3 then draw the graph of the equation that shows the ratio of these two numbers.
Step-by-step explanation:
since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:
(x + 1/2)/y = 1/3
This can be simplified to:
x + 1/2 = y/3
To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:
x + 1/2 = 6/3
x + 1/2 = 2
x = 2 - 1/2
x = 3/2
So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.
(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)
8.Points W
and V
create WV¯¯¯¯¯¯¯¯¯.
Point W
is located at (−6,−6)
and point V
is located at (−6,−2).
Imagine WV¯¯¯¯¯¯¯¯¯
is rotated 180∘
clockwise about the origin. Answer the following questions about W′V′¯¯¯¯¯¯¯¯¯¯¯¯.
A: What are the coordinates of point W′?
B: What are the coordinates of point V′?
Answer:
A: What are the coordinates of point W'?
The coordinates of point W' are (6, 6).
B: What are the coordinates of point V'?
The coordinates of point V' are (6, 2).
maybe i think so
d= sqrt ( 2 )^ 2 +( 12 )^ 2
Answer:
d = 146
Step-by-step explanation:
Answer:
d=146
Step-by-step explanation:
the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146
i need help with this problem #9
Answer:
9. Reflection in the line x = 1.
Step-by-step explanation:
Counting the number of squares between B and B' we get 8.
So the line of reflection is 4 squares from the point B and is a vertical line passing through that point.
If School starts at 7:15 and I take 6 periods of class but I stay in 1-4 period each for 47 minutes and stay in 5th and 6th period for 97 minutes. What time will it be after 4 periods? Hint: This is clock wise!!!
Answer:
10:24
Step-by-step explanation:
if school starts at 7:15 and you stay in the first 4 periods for 47 minutes each, that totals 3 hours, 8 minutes
7:16 + 3 hrs, 8 min = 10:24
Which criteria for triangle congruence allows you to immediately conclude that the triangles.
We may determine that the triangles are congruent based on the (B) HL criterion right away.
What are HL criteria?According to the HL Postulate, a right triangle's hypotenuse and leg are congruent if they are also congruent with the hypotenuse and leg of another right triangle.
So, we can see from the accompanying figure that these two triangles share a center line that is parallel to the base.
The two triangles are therefore right-angled triangles.
The hypotenuse of two triangles being congruent is then mentioned as a further argument.
Triangle congruence according to the HL criterion allows for a quick determination of congruence.
Therefore, we may determine that the triangles are congruent based on the (B) HL criterion right away.
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Complete question:
Which criteria for triangle congruence allows you to immediately conclude that the triangles are congruent without any extra steps?
A) SAS
B) HL
C) AAS
D) none
An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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Is y=4/x-3 linear or non-liner
if = -4i - 2j - 3k , what is c×j ?
The cross product evaluestes to to c × j is: -4i + 3k.
To find the cross product c × j, where c = -4i - 2j - 3k, follow these steps:
1. Write the components of vectors c and j as 3x3 determinants:
| i j k |
|-4 -2 -3 |
| 0 1 0 |
2. Evaluate the determinant for each unit vector (i, j, k) component:
i-component: ((-2)(0) - (-3)(1)) = 3
j-component: ((-4)(0) - (0)(-3)) = 0
k-component: ((-4)(1) - (-2)(0)) = -4
3. Combine the evaluated components: (3)i + (0)j + (-4)k = 3i - 4k.
However, there was a typo in the question, and it should be c × j, which is -4i + 3k.
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Complete question:
if c=-4i-2j-3k then find c×j
(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Select the correct answer from each drop-down menu. If necessary, round your answers to the nearest whole number.
This two-way table shows the models and colors of cars sold at a dealership for the month.
Model A Model B
9 12
Black
Red
Gray
5
3
13
10
The percentage of model A cars sold that are gray is
%. The percentage of red cars sold that are model B is
%.
Submit
The percentage of model A cars sold that are gray is 23.8% and the percentage of red cars sold that are model B is 55.6%.
The percentage of model A cars sold that are gray can be calculated by dividing the number of gray model A cars by the total number of model A cars sold, and then multiplying by 100.
From the table, we can see that there were 5 gray model A cars sold. To find the total number of model A cars sold, we need to add up the values in the first row of the table, which gives us 9 + 12 = 21.
So, the percentage of model A cars sold that are gray is (5/21) * 100 = 23.8%.
To find the percentage of red cars sold that are model B, we need to divide the number of red model B cars by the total number of red cars sold, and then multiply by 100.
From the table, we can see that there were 10 red model B cars sold. To find the total number of red cars sold, we need to add up the values in the second column of the table, which gives us 5 + 3 + 10 = 18.
So, the percentage of red cars sold that are model B is (10/18) * 100 = 55.6%.
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given that £1 = $1.62
how much is £650 in $
Answer:
$1053
Step-by-step explanation:
If we have that £1 = $1.62, then we can multiply both sides by 650 in order to get £650 on the left side of the equality. We must multiply the right side also by 650, and so we get £650=$1.62 * 650.
To do this multiplication, we can break 1.62 down simply into $1.00 +$0.6+$0.02
650*$1.00=$650, 650*$0.6=650*6/10=65*6=$390, and 650*$0.02=650*2/100=6.5*2=$13.
When we add these three products together, we get $650+$390+$13=$1053. And so, £650=$1053
If 4th term of an AP is 0. Prove that 25th term is triple the 11th term
Answer:
The 4th term = a+3d = 0,
or a = -3d.
The 25th term = a+24d = -3d+24d = 21d. ...
the 25th term is 3 times the 11th term. Proved.
Answer:
a^25 = 3 x a^11 .
Step-by-step explanation:
Given a^4 = 0
That is (a + 3d) = 0
⇒ a = - 3d ........... (1)
nth term of AP is given by an = a + (n – 1)d
a^11 = a + 10d = – 3d + 10d = 7d [From (1)]
a^25 = a+ 24d = – 3d + 24d = 21d [From (1)]
Hence
The answer is a^25=3 x a^11
Which table represents a linear function?
Answer:
My laptop doesn't make me see images, but its the one where you subtract the x coordinates and it has the same answer and when you subtract the y coordinates, it has the same answer
Step-by-step explanation:
Imagine: x = 2, 4, 6, 8, 10 and y = 4, 8, 12, 16, 20
For the x,
4 - 2 = 2
6 - 4 = 2
8 - 6 = 2
10 - 8 = 2
Notice how the answers are all equal to 2
And for the y,
8 - 4 = 4
12 - 8 = 4
16 - 12 = 4
20 - 16 = 4
Notice how the answers are all equal to 4
Good luck!
555 centigrams = 55. 5 ________
A decigrams
B grams
C decagrams
D hectograms
Answer:
c
Step-by-step explanation:
Answer:
The answer would be C.
Step-by-step explanation:
You have made 160 duct tape wallets to sell. If you sell 3 each day, write a function that represents this situation.
A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is
y = 160 - 3xHow to write the expression of the situationInformation from the problem
You have made 160 duct tape wallets to sell
If you sell 3 each day
From the information we can deduce that
assuming amount left is y and the number of days x the we have
y = 160 - 3x
Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is y = 160 - 3x
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