Answer:
11.4 cm
Step-by-step explanation:
Using pythagoras theorem,
how do you know how adding a smaller data point will affect the mean or median if its smaller than them
When the smaller data point is included, the mean will drop when compared to the other values, but the median may increase or decrease depending on whether the collection of numbers is even or odd.
1. Calculate the original set of numbers' mean and median.
2. Include the lesser data point in the collection.
3. Determine the updated median and mean.
4. Evaluate the original mean and median in comparison to the new mean and median. Depending on whether the collection of numbers is even or odd, the median will decline while the mean will increase.
We must first determine the mean and median of the initial set of data in order to evaluate how the addition of a smaller data point will impact those values. Adding together all the values and dividing by the total number of values yields the mean. We place the middle value in the set of integers after sorting them from least to largest to determine the median. We include the new, smaller data point in the set after finding the mean and median. We next perform the same calculations as previously to determine the new mean and median. Finally, we contrast the updated mean and median with the baseline values. The median may stay the same or drop depending on whether the set of numbers is even or odd, while the mean often decreases as it is compared to other values. The mean and median of a set of numbers can therefore be significantly affected by the addition of a tiny data point.
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The complete question is
how do you know how adding a smaller data point will affect the mean or median if its smaller than them other value.
what two numbers would give a sum of 30, a difference of 24, product of 81 and a quotient of 9
Answer:
27 and 3
Step by Step explanation:
Just list the factors of 81 and find the two numbers
Write yes or no if the value given makes the equation true.
1. w – 2 = 5; w = 7
2. 5t = 15; t = 4
3. x + 8= 10; x = 945
4. 5 = x + 3; x = 2
Answer:
1. yes
2.no
3.no
4.yes
Step-by-step explanation:
just use division, addition, subtraction
Answer:
1. yes
2. no
3. no
4. yes
Step-by-step explanation:
1. substitute w with 7 --> (7) - 2 = 5 --> 5 = 5; true
2. substitute t with 4 --> 5(4) = 15 --> 20 does not = 15; false
3. substitute x with 945 --> (945) + 8 = 10 --> 953 does not = 10; false
4. substitute x with 2 --> 5 = (2) + 3 --> 5 =5; true
The midpoint of AB is M(0, -1). If the coordinates of A are (4, 3), what are the
coordinates of B?
nrkwn tkdndnqmznt dnrbdnwnxn enw 3 fwk3 fwk r wjf rj qifwkdjdbd e xbdjrk snqkskrnxnx kwekdks
(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Step- by- step explanation
Answer:
step 2
Step-by-step explanation:
theres a one in front of the () meaning it should have look like this
4+4x+2
Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.
If f(x=3x2+1 and g(x)=1−x, whati s the value of (f−g)(2)?
Answer: To find the value of (f - g)(2), we need to first evaluate f(2) and g(2), and then subtract g(2) from f(2).
Starting with f(x), we substitute x = 2:
f(2) = 3(2^2) + 1 = 3(4) + 1 = 12 + 1 = 13
Next, we evaluate g(x) at x = 2:
g(2) = 1 - 2 = -1
Now we can calculate (f - g)(2) by subtracting g(2) from f(2):
(f - g)(2) = f(2) - g(2) = 13 - (-1) = 14
Therefore, the value of (f - g)(2) is 14.
Step-by-step explanation:
Use the diagram to find the measurements of each angle. Explain your reasoning.
pls helppp
By calculating the angles, it is obtained
\(\angle ABC = 130\\\angle EBD =130\\\angle ABE = 50\)
What is angle?
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.
Here,
\(\angle ABC = 180 -50\\\angle ABC = 130\\\)
\(\angle ABC\) and \(\angle\)CBD make a line. So they add upto 180°
\(\angle EBD = 180 -50\\\angle EBD = 130\\\)
\(\angle EBD\) and \(\angle\)CBD make a line. So they add upto 180°
\(\angle ABE = 180 -130\\\angle ABE = 50\\\)
\(\angle ABE\) and \(\angle\)EBD make a line. So they add upto 180°
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Find a.
6-√2 yd
a
60⁰
30⁰
Write your answer in simplest radical form.
yards
Therefore, the missing side length "a" is approximately 14.697 yards.
What is triangle?A triangle is a geometric shape that consists of three line segments or sides, and three angles. The three sides of a triangle are connected to form three vertices. The sum of the interior angles of a triangle always adds up to 180 degrees.
Here,
We know that the sum of the angles in a triangle is 180 degrees, so we can find the measure of the third angle in the triangle by subtracting the given angles from 180 degrees:
Third angle = 180 - 60 - 30
= 90 degrees
Now, we can use the fact that the tangent of an angle is the ratio of the opposite side to the adjacent side. In this case, we are given the opposite side (6√2 yd) and the adjacent side (a), so we can write:
tan(30 degrees) = (6 √2) / a
To solve for "a", we can cross-multiply and simplify:
a * tan(30 degrees) = 6 √2
a = (6 √2) / tan(30 degrees)
Using a calculator, we can evaluate the tangent of 30 degrees and simplify the expression:
a ≈ 14.697 units
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If 24 muffins cost 46$ how much does 1 muffin cost
Answer:
1,916666666666667$Step-by-step explanation:
If 24 muffins cost 46$ how much does 1 muffin cost?
46 : 24 =
1,916666666666667$
(the total cost is 46$ or 48? are you sure?)
Hey there!
It costs about $46 for 24 muffins, so in order to find out the total cost for 1 muffin you have to DIVIDE 46 from 24 or 24 from 46.
So, lets first divide 46 from 24
46 / 24
= 46 ÷ 24
= 46 ÷ 2 / 24 ÷ 2
= 23 / 12
= 1.916667
≈ 1.92
Therefore, your answer is: $1.92
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Problem 2. Cady Herring, the F&B director, of 300 room Lohan
Hotel uses the following regression equations for forecasting
number of meals sold based on the number of in-house guests:
Y= 60+0.39X
The regression equation used by Cady Herring, the F&B director of Lohan Hotel, for forecasting the number of meals sold based on the number of in-house guests is: Y = 60 + 0.39X
In the regression equation, Y represents the forecasted number of meals sold, and X represents the number of in-house guests. The equation is in the form of a simple linear regression, where the coefficient of X (0.39) represents the estimated increase in the number of meals sold for each additional in-house guest.
To forecast the number of meals sold, we multiply the number of in-house guests by the coefficient (0.39) and add the intercept term (60). This equation assumes a linear relationship between the number of meals sold and the number of in-house guests, with a constant increase in meals sold for each additional guest.
For example, if the number of in-house guests is 100, we can calculate the forecasted number of meals sold as follows:
Y = 60 + 0.39 * 100
Y = 60 + 39
Y = 99
Therefore, based on this regression equation, Cady Herring would forecast 99 meals sold when there are 100 in-house guests.
Cady Herring, the F&B director of Lohan Hotel, uses the regression equation Y = 60 + 0.39X to forecast the number of meals sold based on the number of in-house guests. The equation assumes a linear relationship between the variables and provides a straightforward method to estimate the number of meals sold. By multiplying the number of in-house guests by the coefficient (0.39) and adding the intercept term (60), the forecasted number of meals sold can be determined. It is important to note that this analysis assumes the validity of the regression model and the underlying assumptions of linear regression.
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What is the area of the circle in square units? Select ALL that apply.
\(a.)4 \pi\)
\(b.)\pi8\)
\(c.)16\pi\)
\(d.)\pi4 {}^{2} \)
\(e.) \: approximately \: 25\)
\(f.) \: approximately \: 50\)
A 14-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
10.7 feet
Step-by-step explanation:
The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.
The hypotenuse of the triangle is 14 feet (length of ladder)
The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)
We need to find the height of the triangle. We can apply Pythagoras rule:
\(hyp^2 = a^2 + b^2\)
where hyp = hypotenuse
a = base of the triangle
b = height of the triangle
Therefore:
\(14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet\)
The wall reaches 10.7 feet high.
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
How to find slope intercept form without a point.
Encrypt the following messages using the RSA system given the messages and parameters provided. a. "UPLOAD" n=53-61=pq e=17 b. "ATTACK" e=13 n=43.59 T A T с к 00 19 19 00 03 <8 A x 10
Using encryption formula,
a) The encrypted message for "UPLOAD" is "2622 2770 1873 2462 1 2950".
b) The encrypted message for "ATTACK" is "1 727 1191 2327".
To encrypt the messages using the RSA system, we need to apply the encryption formula:
C ≡ \(M^e\) (mod n)
Let's encrypt each message using the provided parameters:
a. "UPLOAD" with n = 53 * 61 = 3233 and e = 17:
U = 21, P = 16, L = 12, O = 15, A = 1, D = 4
Applying the encryption formula:
C(U) ≡ \(21^{17\) ≡ 31505778969751365627900243401 ≡ 2622 (mod 3233)
C(P) ≡ \(16^{17\) ≡ 16052328587458619823931967716 ≡ 2770 (mod 3233)
C(L) ≡ \(12^{17\) ≡ 11747111334210445794367769797 ≡ 1873 (mod 3233)
C(O) ≡ 1\(5^{17\) ≡ 31802887111346410552868937983 ≡ 2462 (mod 3233)
C(A) ≡ \(1^{17\) ≡ 1 (mod 3233)
C(D) ≡ \(4^{17\) ≡ 48268090064274728042603640324 ≡ 2950 (mod 3233)
Therefore, the encrypted message for "UPLOAD" is "2622 2770 1873 2462 1 2950".
b. "ATTACK" with n = 43 * 59 = 2537 and e = 13:
A = 1, T = 20, C = 3, K = 11
Applying the encryption formula:
C(A) ≡ \(1^{13\) ≡ 1 (mod 2537)
C(T) ≡ \(20^{13\) ≡ 1401932123352932016403911324 ≡ 727 (mod 2537)
C(C) ≡ \(3^{13\) ≡ 1594323 ≡ 1191 (mod 2537)
C(K) ≡ \(11^{13\) ≡ 4428531256931 ≡ 2327 (mod 2537)
Therefore, the encrypted message for "ATTACK" is "1 727 1191 2327".
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Need some help on homework thank you
Answer:
mabye the reflixive prop
Step-by-step explanation:
write 25^2×5^5×5^13 in the form 5^k
Answer:
5^17
Step-by-step explanation:
25^2 x 5^5 = 125^7
125^7 x 5^13 = 625^20
625^20 /5 = 125^19
125^19 /5 = 25^18
25^18 / 5 = 5^17
5^k = 5^17
What is a variable?
A. A variable is something we always know and is always
represented by a symbol.
B. A variable is something we do not know and we use a letter to
represent it.
C. A variable is the number in front of the letter in an expression.
Answer:
C. A variable is the number in front of the letter in an expression.
Answer:
B. A variable is something we do not know and we use a letter to represent it.
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
The conclusion we can draw graph is: Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
What is graph?In mathematics, a graph is a collection of points (called vertices or nodes) connected by lines (called edges). Graphs are used to represent many kinds of relationships, such as social networks, road networks, electrical circuits, and chemical structures.
According to given information:We can draw the following conclusions from the circle graph:
Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the residents. To find the number of residents in this group, we can multiply 42% by the total sample size of 400:
0.42 x 400 = 168 residents.
Therefore, the conclusion we can draw is: Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
We cannot conclude that Walk and Streetcar are the preferred transportation for 55 residents, as there is no overlap between the sections representing these modes of transportation on the circle graph.
We cannot conclude that Bus is the preferred transportation for 45 residents, as the Bus section represents only 10% of the total sample size, which corresponds to 0.10 x 400 = 40 residents.
We cannot conclude that Bicycle is the preferred transportation for 50 residents, as the Bicycle section represents only 8% of the total sample size, which corresponds to 0.08 x 400 = 32 residents.
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What is the base number in which the following is correct? (a) 12×4=52 (b) 24×17=40 (e) (x
2
−13x+32=0)⇒(x=5,x=4)
Equation (c) holds true in base 9, while equations (a), (b), and (d) do not hold true in any base number. Equation (e) holds true in any base number as it is an algebraic equation.
To determine the base number in which the given equations are correct, we can systematically test different base numbers until we find one that satisfies all the equations. Let's go through each equation and find the appropriate base number:
(a) 12×4=52:
This equation implies that the base number should be greater than 12, as multiplying 12 by 4 should not result in a number larger than 52. Therefore, this equation cannot hold true in any base number.
(b) 24×17=40:
Similar to the previous equation, this equation indicates that the base number should be greater than 24. However, when we multiply 24 by 17, the result should not be 40 in any base number. Therefore, this equation cannot hold true in any base number either.
(c) 75/3 = 26 (bonus):
For this equation, we need to find a base number in which dividing 75 by 3 equals 26. By testing different base numbers, we find that this equation holds true in base 9. In base 9, 75 (base 10) divided by 3 (base 10) equals 26 (base 10).
(d) 7.3/2 = 3.6 (bonus):
This equation involves decimal numbers. In most standard number systems, including the decimal system, 7.3 divided by 2 does not equal 3.6. Therefore, there is no base number in which this equation holds true.
(e) \((x^2-13x+32=0)\)⇒(x=5,x=4):
This equation represents a quadratic equation. The base number does not affect the solution to this equation since it is an algebraic equation that holds true in any base number.
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Complete Question:
What is the base number in which the following is correct?
(a) 12×4=52
(b) 24×17=40
(c) 75/3 = 26 (bonus)
(d) 7.3/2 = 3.6 (bonus
(e) \((x^2-13x+32=0)\)⇒(x=5,x=4)
Please help ;v; Use the vertical line test to determine if the relation is a function.
By vertical line test the relation represented by given curved graphs is a function.
A relation is said to be a well defined function if one element of domain set is related to exactly one element of codomain.
Here it is clear that if we draw a vertical line at any point that line cuts through only one point of the curve.
So vertical line test shows that one point of X axis i.e. one element of domain is related to one point on Curve i.e. one element of Codomain.
Hence by vertical line test we can say that the relation given is a function.
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in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens.
A 95% confidence interval for percent of american adults who believe in aliens: (0.6578, 0.7822)
In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens
We need to find the 95% confidence interval for percent of american adults who believe in aliens.
95% confidence interval = (p ± z√[p(1 - p)/n])
Here, n = 200
p = 72%
p = 0.72
And the z-score for 95% confidence interval is 1.960
The upper limit of interval would be,
(p + z√[p(1 - p)/n])
= 0.72 + 1.960 √[0.72(1 - 0.72)/200]
= 0.72 + 1.960 √[(0.72 * 0.28)/200]
= 0.72 + 1.960 √0.001008
= 0.72 + 0.0622
= 0.7822
The lower limit of interval would be,
(p - z√[p(1 - p)/n])
= 0.72 - 1.960 √[0.72(1 - 0.72)/200]
= 0.72 - 1.960 √[(0.72 * 0.28)/200]
= 0.72 - 1.960 √0.001008
= 0.72 - 0.0622
= 0.6578
Therefore, a 95% confidence interval = (0.6578, 0.7822)
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At age 45 when the deferred payments from his current contract ends, all-star shortstop Alex Rodriguez plans to have $230 million in savings from his baseball playing days. He wants two things from his savings: a 40-year ordinary annuity and $500 million at age 60 in order to purchase majority ownership in his native Miami's Florida Marlins. How large can his annual annuity payment be based on this information and assuming his savings can earn 8% annually after age 45 ? $6,069,727 $5,620,118 $6,906,832 $6,395,215
Therefore, the annual annuity payment can be approximately $6,069,727.
To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:
PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]
Where:
PMT = Annual annuity payment
PV = Present value of the annuity
r = Annual interest rate
n = Number of periods
Given:
PV = $230 million
r = 8% = 0.08
n = 40 years
Using the formula, we can calculate the annual annuity payment:
PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]
PMT ≈ $6,069,727
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What type of answer would you expect from the problem below? Explain why you expect that type of answer.
Answer:option 1
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
What is a double fact in 1st grade math?
Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16
What do you mean by One-to-One Correspondence?
the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.
Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.
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Answer:
A double expression
Step-by-step explanation:
5 to the power of 2=25
Write this in logarthim form
60 points for taking
Answer:
log base 5(25)=2
Step-by-step explanation:
a^b=c is the same as log base a(c)=b so a=5 b=2 and c=25 so therefore the answer is log base 5(25)=2
Which is in between 120º F and 130º F?
Answer:
121-129 F is in between
Step-by-step explanation:
The orange figure below is a scale drawing of theblack figure. What is the scale factor, rounded tothe nearest whole number?
Scale factor is given by the formula below:
\(\text{Scale factor =}\frac{new\text{ length}}{\text{old length}}\)Using the right-hand side
new length = 1
old length= 3
substitute the values into the formular
\(\text{scale factors= }\frac{1}{3}=0.33333\approx0\)5.4 x 10^4 / 6 x 10^1
A.9× 10^-2
B.9 x 10^2
I understand not
Oh the anSwer Is a
What two numbers multiply to make 180 and add to make 27
Answer:
12 and 15
Step-by-step explanation:
12 + 15 = 27
12 x 15 = 180