Answer:
\( \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4\)
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
\(MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1\)
Step-by-step explanation:
We have the following dataset given:
0.4,0.2,0.4,0.6
In order to calculate the MAD we need to calculate the sample mean first with this formula:
\(\bar X = \frac{\sum_{i=1}^n X_i}{n}\)
Replacing we got:
\( \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4\)
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
\(MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1\)
Answer:
0.1
Step-by-step explanation:
Khan Academy
There is a billboard on the top of an office building. You stand 100 feet from the base of the building and you measure the angle of elevation to the bottom of the billboard as 18°. Similarly, you measure the angle of elevation to the top of the billboard as 26°.
The height of the billboard is approximately 13.8 feet.
How to calculate the heightFrom the information, there is a billboard on the top of an office building. You stand 100 feet from the base of the building and you measure the angle of elevation to the bottom of the billboard as 18°
We can use the tangent function to find x:
tan(18°) = x / 100 ft
x = 100 ft * tan(18°) ≈ 34.6 ft
tan(26°) = y / 100 ft
y = 100 ft * tan(26°) ≈ 48.4 ft
We can find the height of the billboard AB by subtracting x from y:
AB = y - x ≈ 13.8 ft
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There is a billboard on the top of an office building. You stand 100 feet from the base of the building and you measure the angle of elevation to the bottom of the billboard as 18°. Similarly, you measure the angle of elevation to the top of the billboard as 26°. Find the height of the billboard
Please help! (Will give brainliest answer and a heart) Please and thank you!
can someone help me get the answer to this
Answer:
6=b
Switch sides
b=6
Answer:
a=10 and b=6
Step-by-step explanation:
it is in picture
Please mark me as brainliest
PLEASE HURRY!! WILL GIVE 10 POINTS!!
The shape of Gretchen’s data can be described as
A. Skewed left
B. Skewed right
C. Symmetrical
Because of this, the
A. Mean
B. Median
would be the best measure of center for this data set. The actual value for the best measure of center is
A. 7
B. 9
C. 9. 1
B. 9. 6
The first blank is leaning to the left, the second blank is in the middle, and the third blank has 9 alternatives that are legitimate.
We've done that.
Data from Gretchen can be characterized as having a __ shape. As a result, the __ will serve as this data set's best measure of center.
For the best measure of center, the real value is .
The word in the blank must be identified using the provided diagram.
What is left that is skewed?
A left-skewing distribution has a long left tail. Left-skewed distributions are another name for negatively skewed distributions. This is caused by the number line's huge negative tail. Furthermore, the peak is offset from the mean. A right-skewed distribution has a long right tail.
Consequently, the appropriate choices are,
the third blank is 9, the second blank is middle, and the first blank is tilted to the left.
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Isaac and jennifer's total cost for their business is given by C(x)= 40x + 96,000 and its revenue function is represented by R(x)= 60x. A. Set up the cost revenue and function
Answer: P(x) = 20x - 96,000
Step-by-step explanation:
Cost revenue and profit function.
Cost function;
C(x)= 40x + 96,000
Revenue function;
R(x)= 60x
Profit = Revenue - Cost
P(x) = 60x - (40x + 96,000)
P(x) = 20x - 96,000
The diagram shows a circle inside a rectangle.
2.5 cm
13.8 cm
Work out the area of the shaded region.
Give your answer correct to 3 significant figures.
(3 marks)
7.6 cm
Diagram NOT
accurately drawn
The area of the shaded region is given as follows:
85.245 cm².
How to obtain the area of the shaded region?The area of a rectangle is given by the multiplication of it's dimensions, hence it is given as follows:
Ar = 13.8 x 7.6
Ar = 104.88 cm².
The area of a circle of radius r is given by the equation presented as follows:
A = πr²
The radius for this problem is of r = 2.5 cm, hence the area is given as follows:
A = π x 2.5²
A = 19.635 cm²
Hence the area of the shaded region is given as follows:
104.88 - 19.635 = 85.245 cm².
Missing InformationThe diagram is given by the image presented at the end of the answer.
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the radius r of a circle is increasing at a rate of 2 centimeters per minute. find the rate of change of the area when r = 31 centimeters.
Answer: Let r = radius and A = area
dr/dt = 9
A = πr2
dA/dt = 2πr(dr/dt) = 2π(9)(30) = 540π cm2/min
Step-by-step explanation:
a rectangular room is 3 3 times as long as it is wide, and its perimeter is 56 56 meters. find the dimension of the room.
Consequently, the room has a 7 meter width. The room's length is
\(= 7 * 3 meters = 21 meters\)
What is rectangle?
A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
Given that the length of the rectangular space is three times its breadth
The chamber has a 56-meter perimeter.
Assume that the room's width is x.
As a result, the room is three times as long.
The room's perimeter is now equal to 2(3x + x).
\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)
Consequently, the room has a 7 meter width.
The room's length is
\(= 7 * 3 meters\\= 21 meters\)
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Mary is determining the maximum quantity given the seasonality is constant. If the coefficients are 117t and −22.9906t
2
in a quadratic model, what is the maximum quantity that can be reached? 12.52 B 3 0.098 5.09
The maximum quantity that can be reached in a quadratic model can be determined by finding the vertex of the quadratic function. In this case, with coefficients of 117t and -22.9906t^2, the maximum quantity can be calculated.
To find the maximum quantity in a quadratic model, we need to locate the vertex of the quadratic function. The vertex is the point where the quadratic curve reaches its maximum or minimum value. In a quadratic equation of the form ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, the coefficients of the quadratic model are 117t and -22.9906t^2. Since there is no constant term, we can disregard it in this calculation. By substituting the values into the formula, we find that the x-coordinate of the vertex is -117 / (2 * -22.9906) = 2.5415.
To determine the maximum quantity, we need to substitute this value back into the quadratic equation. However, since the problem statement does not provide the complete quadratic equation or the context for the variable t, we cannot calculate the exact maximum quantity. Therefore, the specific value of the maximum quantity cannot be determined without additional information.
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Determine whether this question is statistical or not statistical: How old is your pet?
Answer:
Yes, the given question is a statistical question.
Step-by-step explanation:
Because someone could ask you the question and you can give them an direct answer.
Answer:
Statistical.
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary.
Hope it helped!
Jazzy buys bottled water for her family. Graph y = -x + 10, where x
represents the number of days since she bought 10 bottles and y represents
the number of bottles left. When will all the bottles of water be gone?
All the bottles of water will be gone on the 10th day since Jazzy started with 10 bottles and consumes one bottle per day (represented by the negative slope of the line).
The equation y = -x + 10 represents the number of bottles of water Jazzy has left after x days, assuming she starts with 10 bottles.
When x = 0, the equation becomes y = -0 + 10, which means Jazzy has 10 bottles on the first day.
When y = 0, the equation becomes 0 = -x + 10, which means Jazzy will run out of bottles on the 10th day.
Therefore, all the bottles of water will be gone on the 10th day since Jazzy started with 10 bottles and consumes one bottle per day (represented by the negative slope of the line).
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for each group in the following list, find the order of the group and the order of each element in the group. what relation do you see between the orders of the elements of a group and the order of the group?
The relation which we see between the orders of the elements of a group and the order of the group is smallest positive power.
G = U(20), order of each element of G = ?
The smallest positive power of an element that gives you your identity is the order of the element in a group. Three instances are covered: complex numbers, a 2x2 rotation matrix, and real number elements of finite order.
G = U(20) = {1,3,7,9,11,13,17,19}
⇒ 3° ≡ 1, 3¹ ≡ 3, 3² ≡ 9, 3³ ≡ 7, 3¹ ≡ 1(20)
∴ order of 3 = 4
7⁴ ≡ 1 (mod 20) → order (7) = 4
9² ≡ 1 (mod 20) → order (9) = 2
11² ≡ 1 (mod 20) → order (11) = 2
13² ≡ 9(mod 20) → 13⁴ ≡ 81(mod 20) → 13⁴ ≡ 1 (mod 20)
⇒ order (13) = 4
order 07 = 4
17 ≡-3(mod 20) ⇒ 17² ≡ yy (mod 20)
⇒ 17⁴ ≡ 81 (mod 20) ≡ 1 (mod 20) ⇒
19 = -1 (mod 20)
19² ≡ 1 (mod 20) ⇒ order (19) = 2
Hence we get the requires answer.
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10.2.4:Using the bijection rule to count ternary strings whose digits sum to a multiple of 3. i About Let T={0,1,2}.A string x E T" is said to be balanced if the sum of the digits is an integer multiple of 3 (a) Show a bijection between the set of strings in T that are balanced and T.Explain why your function is a bijection (b) How many strings in T are balanced? Feedback?
There are 3 balanced strings in set T.
How many balanced strings are in set T?To count the number of balanced strings in the set T={0, 1, 2}, we can establish a bijection between the set of balanced strings and T itself. A balanced string is defined as a string in which the sum of its digits is a multiple of 3.
We can define a function f: T" -> T that maps each string in T" to T by preserving the balanced property. If a string in T" is already balanced, f returns the string itself. If the string is not balanced, f replaces the last digit with digit that makes the sum a multiple of 3.
By showing that this function is both injective (one-to-one) and surjective (onto), we establish a bijection. The bijection rule states that if two sets have a bijection between them, they have the same cardinality. Therefore, the number of balanced strings is equal to the number of elements in T, which is 3.
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which of the following is the basic unit of volume in the metric system?
a. meter
b. liter
c. kilogram
d. gram
Answer:
liter
Step-by-step explanation:
The basic unit of volume in the metric system is a liter.
because we measure volume (v) in liters.
Therefore, the answer is liter
Info related to the question : −
Kilograms are the basic unit of massGrams are also units of massMeters are used for measuring distanceVolume is measured in cubic metersChange each logarithmic statement into an equivalent statement involving an exponent.a.) loga4=5b.) log216=4
The equivalent statement involving an exponent of the given logarithmic statements are :
(a) a^5 = 4
(b) 2^4 = 16
a.) loga4 = 5
To change this logarithmic statement into an equivalent statement involving an exponent, we use the following format:
base^(exponent) = value.
In this case, the base is "a", the exponent is 5, and the value is 4.
So the equivalent statement can be written as:
a^5 = 4
b.) log216 = 4
Similarly, for this logarithmic statement, the base is 2, the exponent is 4, and the value is 16.
Thus we can use the following format :
base^(exponent) = value.
So the equivalent statement can be written as:
2^4 = 16
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A bakery sold a total of 300 cupcakes in a day, and 57 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored?
What is the product of any integer and -1?
A.The product is the opposite of the integer
B.The product is the integer unchanged
C.The product is positive
D.The product is negative
Answer:
D.the product is negative
for example
2×-1
=-2
Answer:
The answer is A (or the first one)
Step-by-step explanation:
So we will have, x, as a random number
Example with a positive number: (x*-1= -x)
Example with a negative number: (-x*-1=x)
So you can tell that if I did it with a positive number, it turns negative, and a negative number goes positive.
Example of opposites: -5 and 5, or 3 and -3
Lets say x was 5, the first example would be: (5*-1=-5)
The second example would be: (-5*-1=5)
This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
7 shoppers
12 shoppers
13 shoppers
18 shoppers
What numbers add to get 15 but multiply to get 48
Answer: No integers will.
Step-by-step explanation:
First, we will list factors of 48.
1 and 48
2 and 24
3 and 16
4 and 12
6 and 8
Next, we see that none of these factor pairs will add to 15. The answer is none.
1 + 48 = 49
2 + 24 = 26
3 + 16 = 19
4 + 12 = 16
6 + 8 = 14
Juliana invested $3,300 at a rate of 6.25% p.a. simple interest.
How many days will it take for her investment to grow to $3,450? 1
days Round up to the next day
To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest
I = P * r * t.
I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,
Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.
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Which of the following would be classified as categoricalâdata?
Choose the correct answer below.
Hair color
Number of suitcases on a plane
Tree height
Amount of rainfall
Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.
Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.
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PLS help i need this ASAP
Answer:
I beleive your answer would be ∡B
Step-by-step explanation:
Given: Circle O with diameter CDC (-7, -1) and D (1,2)Create the equation of this circle,+-:: (2+3):: (y – 1):: (y + 1):: 25:: 100
Explanation
The equation of a circle with center (h,k) and radius r units is given by:
\((x-h)^2+(y-k)^2=r^2\)then
Step 1
find the diameter of the cirlce:
to do this, we can use the distance between two points formula:
if
\(\begin{gathered} A\mleft(x_1,y_1\mright) \\ B(x_2,y_2) \end{gathered}\)the distance from A to B is
\(\begin{gathered} d_{AB}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}\)so,let
distance CD=
\(\begin{gathered} CD=\sqrt[]{(1-(-7))^2+(2-(-4))^2} \\ CD=\sqrt[]{(8)^2+(6)^2} \\ CD=\sqrt[]{64+36} \\ CD=\sqrt[]{100} \\ CD=10 \end{gathered}\)hence, the diameter of the circle is
\(\begin{gathered} \text{diameter}=10 \\ w\text{e know also} \\ \text{diameter}=2\cdot\text{raidus} \\ \frac{\text{diamteter}}{2}=radius \\ \text{replace} \\ \frac{10}{2}=\text{ radius} \\ \text{radius}=5 \end{gathered}\)Step 2
find the center of the circle:
the center of the circle is the midpoint of CD
so
\(\text{midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)replace
\(\begin{gathered} \text{midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{midpoint}=(\frac{-7+1}{2},\frac{-4+2_{}}{2}) \\ \text{midpoint}=(\frac{-6}{2},\frac{-2}{2}) \\ \text{midpoint}=(-3,-1) \\ \end{gathered}\)so, the center of the circle is (-3,-1)
Step 3
finally, replace in the formula to get the equation of the circle
let
\(\begin{gathered} center=\mleft(-3,-1\mright) \\ radius=5 \end{gathered}\)replace
\(\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-3))^2+(y-(-1))^2=5^2 \\ (x+3)^2+(y+1)^2=25 \end{gathered}\)therefore, the answer is
\((x+3)^2+(y+1)^2=25\)I hope this helps you
in the circle below, the sum of which arcs is equivalent to arc CG?
arc CG = arc CD + arc FG
arc CG = arc CF + arc EG
arc CG = arc CE + arc DG
arc CG = arc CE + arc EG
Answer: arc CG=arc CE+ arc EG
Step-by-step explanation:
The arc CG is the sum of arc CE and arc EG option fourth arc CG = arc CE + arc EG is correct.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle shown in the picture.
As we can see the arc CG is marked on a circle.
CG is the sum of CE and EG.
or
arc CG = arc CE + arc EG
Thus, the arc CG is the sum of arc CE and arc EG option fourth arc CG = arc CE + arc EG is correct.
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Solve these problems.
The area of the triangles in the picture are
1. 17.5 square units
2. 5 square units
3. 10 square units
How to find the area of the trianglesThe formula for area of triangles is given by
= 1/2 * base * height
1.
base = 5
height = 7
= 1/2 * 5 * 7
= 17.5 square units
2.
base = 5
height = 2.1
= 1/2 * 5 * 2.1
= 5.25 square units
3.
base = 4
height = 4
= 1/2 * 4 * 5
= 10 square units
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a swimming pool in the shape of a rectangular prism has dimensions of 16 feet by 12.5 feet by 5 feet. what is the maximum amount of water that the pool can hold?
The maximum amount of water that the pool can hold is 1000 cubic feet.
To find the maximum amount of water that the rectangular prism swimming pool can hold, we need to calculate its volume.
The volume of a rectangular prism is given by:
V = l x w x h
where l is the length, w is the width, and h is the height of the prism.
Given the dimensions of the swimming pool, we have:
l = 16 feet
w = 12.5 feet
h = 5 feet
Therefore, the volume of the swimming pool is:
V = l x w x h
V = 16 feet x 12.5 feet x 5 feet
V = 1000 cubic feet
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Question 1
The double box-and-whisker plot shows the goals scored per game by two hockey teams during a 20-game season.
Based on the information in the graph, it can be inferred that team B scores 4 more goals per game.
How do you compare populations using measures of center and median?To compare the populations using measures of center and median we must carry out the following procedure:
Team A
Median = 3
Q₁ = 2
Q₃ = 4
IQR = Q₃ - Q₁ = 4 - 2 = 2
Team B
Median = 7
Q₁ = 6
Q₃ = 8
IQR = Q₃ - Q₁ = 8 - 6 = 2
According to the information above, the variation in goals scored is the same. However, team B usually scores 4 more goals than team A for each game.
Additionally, the difference in the mean of these two values is 2.
Note: This question is incomplete. Here is the complete information:
Attached image
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The distribution of the wing lengths of house flies, in millimeters (mm), is approximately normal with mean wing length 4.55 mm and standard deviation 0.39 mm. A scientist is conducting an experiment to determine the effect of wing length on flight range. The first phase of the experiment will test houseflies with wing lengths that are between 3.77 mm and 4.16 mm. Based on the information, if a housefly is to be selected at random, what is the probability that the housefly's wing length will meet the requirements of the first phase of the experiment?
Answer:
Probability = 0.13591
Step-by-step explanation:
We are given;
Population mean; μ = 4.55
Population standard deviation: σ = 0.39
Now, we want to find the probability that the housefly's wing length will meet the requirements of the first phase of the experiment. This is;
P(3.77mm < X < 4.16mm)
Z-score formula is;
z = (x - μ)/σ
When x = 3.77mm
z = (3.77 - 4.55)/0.39
z = -2
When x = 4.16
z = (4.16 - 4.55)/0.39
z = -1
From online p-value calculator between 2 z-scores attached, we have;
P-value = 0.13591
Two pools are being filled with water. To start, the first pool contains 1272 liters of water and the second pool contains 1600 liters of water. Water is being added
to the first pool at a rate of 31.5 liters per minute. Water is being added to the second pool at a rate of 21.25 liters per minute.
After how many minutes will the two pools have the same
amount of water?
minutes
How much water will be in each pool when they have the i
same amount?
liters
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1. After 32 minutes the two pools will have the same amount of water.
2. 2,280 liters of water will be in each pool when they have the same amount.
Let's call the time in minutes when the two pools have the same amount of water "t". Getting into variables here.
At time t, the first pool will have 1272 + 31.5t liters of water, and the second pool will have 1600 + 21.25t liters of water.
For the two pools to have the same amount of water, we need:
1272 + 31.5t = 1600 + 21.25t
10.25t = 328
t = 32 minutes
I underlined all the answers if you don't want to read the entire thing, lol.
Question 1: So, 32 minutes after starting, the two pools will have the same amount of water.
Question 2: The amount of water in each pool will be:
1272 + 31.5 * 32 = 1600 + 21.25 * 32 = 1600 + 680 = 2,280 liters.
Fifteen increased by a number b
Answer: 15 + b
Step-by-step explanation:
15 is being increased by b and b could be any number so the expression will be 15 + b . Increase means is going up so you will be adding b.