Answer:
mean absolute deviation
Step-by-step explanation:
The mean absolute deviation of a data set is the average distance between each data point and the mean. It gives us an idea about the variability in a data set since it is a measure of dispersion
Final answer:
The average distance of all data values from the mean of the data is called the 'standard deviation'. It measures how data points vary from the mean and indicates the data's spread. Standard deviation is calculated by finding the square root of the average squared deviations from the mean.
Explanation:
The Average Distance of Data Values from the Mean
The average distance of all data values from the mean of the data is referred to as the standard deviation. This statistical measure expresses the extent to which data points in a data set diverge from the average, or mean, value. When the standard deviation is small, it indicates that the data points are clustered closely around the mean, showing little variation. Conversely, a large standard deviation suggests that the data points are spread out over a wider range, signifying greater dispersion in the data set.
The calculation of the standard deviation starts with computing the variance, which is the average of the squared deviations from the mean. The formula for variance is s² = Σ(Yi - Y)² / (n - 1), where s² is the variance, Yi represents each data point, Y is the mean of the data, and n is the sample size. After calculating the variance, the standard deviation is found by taking the square root of the variance.
Neishai jogs around the block four times every hour. What is the algebraic equation to express the function of the total number of times Neishai jogs around the block?
A. 4j = h
B. j = 4h
C. h = 4j
D. 4 = j + h
I absolutely love these.
Your answer would be A since "h" is how many hours has pass and "J" is your jogging.
A + B = C.
Your "A" is the number of jogs you have, "B" is "h", and your "C" is "j".
Hopefully this helps!
Answer:
A) is what you are kooking for Bro
Step-by-step explanation:
Good day to you!
Tickets for a concert have been and incredibly high demand and as the date for the concert draws closer the price of tickets increases exponentially. The cost of A pair of concert tickets was $150 yesterday, and today is $162. As you complete the parts below, assume that each days percent increase from the day before is the same
The question involves understanding exponential growth in Mathematics. The cost of concert tickets is increasing by 8% each day, as calculated using the given prices for two successive days.
Explanation:The student's question pertains to exponential growth, a concept in Mathematics. Here, the increase in the cost of tickets is an example of exponential growth, where the growth rate is proportional to the current value. You can determine the daily percentage increase by using the formula for exponential growth:[tex](today's cost / yesterday's cost) ^ (^1^ /^ n^u^m^b^e^r^ o^f^ d^a^y^s^ b^e^t^w^e^e^n ^t^h^e^ d^a^t^e^s^) - 1.[/tex]
Here, the cost of the concert was $150 yesterday, and today it is $162. Insert these amounts into the formula, and we get [tex](162 / 150) ^ (^1^ /^ 1^) - 1[/tex]= 0.08 or 8%. Therefore, the ticket prices increase by 8% daily.
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To determine the daily percent increase in the price of concert tickets, use the exponential growth formula. The tickets increased from $150 to $162 in one day, resulting in a calculated daily percent increase of 8%.
The student asked: Tickets for a concert have been in incredibly high demand, and as the date for the concert draws closer, the price of tickets increases exponentially.
A pair of concert tickets cost $150 yesterday, and today is $162. As you complete the parts below, assume that each day's percent increase from the day before is the same.
To find the daily per cent increase, we assume an exponential growth model where ticket prices grow by a constant percentage each day.
Let's denote yesterday's price as P₀ = 150 and today's price as P₁ = 162.
Step-by-Step Explanation:
Define the exponential growth formula: P₁ = P₀ * (1 + r), where r is the daily rate of increase.
→ Substitute the known values into the formula: 162 = 150 * (1 + r).
→ Solve for the rate r: Divide both sides of the equation by 150 to isolate (1 + r).162 / 150 = (1 + r), simplifying to 1.08 = 1 + r.
→ Subtract 1 from both sides to solve for r: r = 0.08.
→ Convert the rate to a percentage: r = 0.08 * 100
= 8%.
Therefore, the daily percent increase in the price of the concert tickets is 8%.
To weigh your suitcase, you hold it while you step on the scale. By yourself, you weigh 120.5 pounds. Holding your suitcase, you weigh 153.3 pounds. How much does your suitcase weigh?
Answer:
32.8
Step-by-step explanation:
153.30-125.50
153.3-120.5=33.8 This is how you get the answer
what is the total surface area for a rectangular prism with dimensions of 7 cm 2cm 8cm in square centimeters
Answer:
172 cm^2
Step-by-step explanation:
Since it is a rectangular prism, you would have 6 sides, with two of them being the same. Each side is the values but multiplied by each other. So 7x2, 8x2, and 7x8. If you add them up it would be 14+16+56= 86, but that is only 3 sides, so you need to multiply 86 by 2, thus 172.
What is sqrt 25x^2y^2/sqrt xy in simplest form?
Answer:
what is √25x^2y^2/√xy in simplest from? Assume x≥o and y≥0
The correct answer to this question is 5√xy
Step-by-step explanation:
The given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]
From the question,
We are to evaluate sqrt 25x^2y^2/sqrt xy in its simplest form.
First, we will write the given expression properly
The given expression is
[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]
Now, the expression can be evaluated as shown below
[tex]\frac{\sqrt{25x^{2} y^{2} } }{\sqrt{xy} }[/tex]
[tex]\frac{\sqrt{25 } \times \sqrt{x^{2} y^{2}} }{\sqrt{xy} }[/tex]
This becomes
[tex]\frac{5 \times xy }{\sqrt{xy} }[/tex]
This becomes
[tex]\frac{5 \times xy}{(xy)^{\frac{1}{2} } }[/tex]
This can be written as
[tex]5 \times xy \div (xy)^{\frac{1}{2} }[/tex]
By applying one of the laws of indices
We get,
[tex]5 \times (xy)^{1-\frac{1}{2} }[/tex]
[tex]5 \times (xy)^{\frac{1}{2} }[/tex]
[tex]5 \times \sqrt{xy}[/tex]
[tex]5 \sqrt{xy}[/tex]
Hence, the given expression in its simplest form is [tex]5 \sqrt{xy}[/tex]
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What is the value of b in the equation below?
I'm not 100% but i think its A: 3
For this case we have that by definition of power properties:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
We have the following expression:
[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]
It can be rewritten as:
So:
[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]
So, [tex]b = 4\ and\ a = 5[/tex]
Answer:
Option B
PLEASE HELP WITH THIS QUESTION
Hans chocolate bar is 36% cocoa if the weight of the chocolate bar is 94 grams how many grams of cocoa does it contain
Answer:
33 grams
Step-by-step explanation:
We multiply the total weight of the choco. bar (94 grams) by 0.36 to obtain the number of grams of cocoa present:
0.36(94 grams) = 33.04 grams.
The bar contains 33.04 grams of cocoa. Round this up to 33 grams.
Answer: 33.84 gr
Step-by-step explanation:
You have the following information given in the problem:
- Hans chocolate bar is 36% cocoa.
- The chocolate bar weighs 94 grams.
Therefore, to calculate the amount of grams of cocoa it contains (which you can call x), you must multiply the weight of the chocolate bar by the percentafe of cocoa it has
Therefore, you obtain the following result:
[tex]x=94gr*0.36\\x=33.84gr[/tex]
Pie equals ???????????
Answer:
pie equals 3.14159265359 but it's always rounded to just 3.14 so you don't have to write all of those numbers.
Pie equals 22/7
Step-by-step explanation:Pi (π) is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159.
It is represented by the Greek letter "π" .
It is the circumference of any circle, divided by its diameter.
Frank's fruit stand holds a total of 220 apples and oranges. Frank has 6 apples for every 4 oranges in his stand. What is the total number of oranges Frank currently has?
Frank has 88 oranges at his stand, found by setting up an equation based on the ratio of apples to oranges (6:4) and the total count of fruit (220) and solving for x.
We need to find out the total number of oranges at Frank's fruit stand given that there are 220 fruits in total and the ratio of apples to oranges is 6:4. To do this, let's denote the total number of apples as 6x and the total number of oranges as 4x. The reason behind this is to maintain the ratio of 6 to 4 (or 3 to 2 when simplified). Since the total amount of apples and oranges is 220, we can set up the equation:
6x + 4x = 220
Combining like terms, we get:
10x = 220
Dividing both sides by 10 yields:
x = 22
Now that we have the value of x, we can find the number of oranges (which is 4x) by multiplying 4 by 22:
4x = 4 * 22 = 88
Therefore, Frank has 88 oranges at his fruit stand.
A college football stadium holds 45,000 fans. In a random sample of 30 fans, 25 were wearing the colors of the home team. Predict the number of fans who are wearing the colors of the home team.
Answer:
A
Step-by-step explanation:
Remark
Just as a guess, the answer should be A or B. It's always a good idea to estimate an answer so that if you get something really far away, you know it is incorrect.
Equation
Set up a proportion for the problem
26/30 is the basic ratio of the home fans wearing the right color
x/45000 is the ratio of those in the entire stadium.
Solution
26/30 = x / 45000 Cross multiply
30x = 26 * 45000 Simplify the right
30x = 1170000 Divide by 30
30x/30 = 1170000/30
x = 39000 And that is A
Hw 17 arcs and chords
Answer:
1. 105°
2. 85°
3. 80°
4. 148°
5. 116°
6. 82°
7. 135°
8. x = 7
9. x = 2
10. x = 1
11. x = 10
Step-by-step explanation:
1. Arc WZ = Arc XY
Arc WZ = 105° Therefore Arc XY = 105°
2. Arc SR = Arc TU
Arc SR = 85° Therefore Arc TU = 85°
3. Arc PQ = Arc QR
Arc PQR = 40° + 40°
Arc PQR = 80°
4. Arc RT = 64°
x = (360° - 64°)/2
x = 296°/2
x = 148°
5. x = 116°
If the chords are congruent to each other, then the arcs are also congruent to each other.
6. x = 82°
If the chords are congruent to each other, then the arcs are also congruent to each other.
7. Arc BC = 90°
x = (360° - 90°)/2
x = 270°/2
x = 135°
8. 2x + 4 = 18
2x = 18 - 4
[tex]\dfrac{2x}{2}=\dfrac{14}{2}[/tex]
x = 7
9. 2x + 1 = 5x - 5
2x - 5x = -5 - 1
[tex]\dfrac{-3x}{-3} = \dfrac{-6}{-6}[/tex]
x = 2
10. 3x + 16 = 12x + 7
3x - 12x = 7 - 16
[tex]\dfrac{-9x}{-9}=\dfrac{-9}{-9}[/tex]
x = 1
11. 3x - 11 = x + 9
3x - x = 9 + 11
[tex]\dfrac{2x}{2}=\dfrac{20}{2}[/tex]
x = 10
Which expressions could be used for finding the perimeter of a square? Choose the three expressions that apply
1. 9+9+9+9
2. 8+9+8+9
3. 7+7+7+7
4. 4+4+4+4
5. 4+3+4+2
In a certain class of students, there are 12 boys from wilmette, 5 girls from kenilworth, 7 girls from wilmette, 4 boys from Glencoe, 2 boys from kenilworth and 9 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from kenilworth?
Answer:
7/39 = 17.94%
Step-by-step explanation:
Town Students Relative Frequency
Wilmette 12 boys + 7 girls = 19 19/39 = 48.72%
Glencoe 9 girls + 4 boys = 13 13/39 = 33.33%
Kenilworth 2 boys + 5 girls = 7 7/39 = 17.94%
Total 39 students 39/39 = 100%
Another approach to solve probability is the Relative Frequency. A frequency is the number of times an event occurs. To solve for the relative frequency, it’s the ratio of the frequency of an event to the total outcomes. From the question, it is clear that for each town, it was subdivided into boys and girls but the word students represent the combined number of boys and girls for a particular town. so finding the probability that a student called at random to answer a question is from kenilworth is simply the ratio of students from kenilworth over the total number of students in the class.
The diagram shows the ratio of trees Maeve plants to the trees she harvests.
A tape diagram showing 5 parts labeled "plants" and 2 parts labeled "harvests"
The table shows the number of trees Maeve planted and harvested on two days.
Based on the ratio, complete the missing values in the table.
Day Trees planted Trees harvested
Wednesday ___________ 18
Thursday 55 ___________
Answer:
WEDNESDAY: 45 planted.
THURSDAY: 22 Harvested.
Step-by-step explanation:
Based on the information given in the problem, Maeve plants 5 trees for every 2 tree she harvests. Then the ratio can be expressed as following:
[tex]5:2[/tex] or [tex]\frac{5}{2}[/tex]
Then, you can complete the values in the table as you can see below:
WEDNESDAY
[tex]\frac{5}{2}=\frac{planted}{18}\\\\planted=\frac{18*5}{2}\\\\planted=45[/tex]
THURDAY
[tex]\frac{5}{2}=\frac{55}{harvested}\\\\(harvested)(\frac{5}{2})=55\\\\harvested=\frac{55*2}{5}\\\\harvested=22[/tex]
Answer:
Wed --------45---------
Thu ---------22-----------
6m^5 + 3 + m^3 - 4m)- (m^5 +2m^3 - 4m +6) =
Answer:
5m^5-m^3-3
Step-by-step explanation:
What you do is you have to distribute the negative sign into the equation.
-m^5-2m^3+4m-6. Next, you will either add or subtract from the other equation.
6m^5-m^5=5m^5.
m^3-2m^3=-m^3.
-4m+4m=0m or you don't put anything.
3-6=-3. Then you put it all together to get.
5m^5-m^3-3 as your answer.
Which method is the most efficient method to use to solve x^2+5x-6=0
Answer:
Factoring
Step-by-step explanation:
We have the function [tex]x ^ 2 + 5x-6 = 0[/tex]
To factor this expression we must look for two numbers a and b that when adding them give as a result 5 and multiplying them give as a result -6
Then the factorization will have the form
[tex](x + a)(x + b)[/tex]
You can verify that:
[tex]a = 6\\b = -1\\6(- 1) = -6\\6 -1 = 5[/tex]
So:
[tex]x ^ 2 + 5x-6 = (x + 6)(x-1) = 0[/tex]
So:
The solutions are:
[tex]x = -6\\x = 1[/tex]
Please help with this question.
The maximum occurs at x = -b/2a
Using f(x) = ax^2 +bx +c
Replace a and b in the equation.
a = 2
b = 8
Now you have x = -8 / 2(2)
x = -8 / 4
x = -2
The maximum is -2
What are the values of s,v,w,x,y,z?
Answer: s, v, w, & x = 13 y = 20 z = 20 + 13√3
Step-by-step explanation:
First, you need to understand the side lengths of each special triangle in the drawing.
A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2
A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b
The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.
So A F = 13 → s = 13 and w = 13
FB = 13 → x = 13
EC = 13 → v = 13
Since the x-value of C is 20, then the x-value of E is also 20 → y = 20
ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3. Since EC = 13, then ED = 13√3.
AE + ED = AD
20 + 13√3 = AD → z = 20 + 13√3
Which of the following relations is a function?
A.
(1, 4), (-3, 6), (1, 3), (-7, 2)
B.
(1, 0), (-3, 3), (7, 1), (-3, 5)
C.
(1, 4), (-3, 2), (7, 1), (-7, 2)
D.
(7, 1), (-3, 4), (1, 1), (7, 2)
this is study island understanding functions
Answer:
C is the correct answer.
Step-by-step explanation:
Look at the X values for each coordinate pair. If an X value is represented twice with different Y values, it is not a function. If no X value is repeated, or it is repeated but has the same Y value, then it is a function. A has two values for x = 1, B has two values for x = -3, D has two values for x = 7, but C does not, so it is the correct answer.
Which is faster, the tortoise or the turtle?
Chad’s rectangle measures 4 1/3 units by 3 1/4 units. What is the area?
Answer: 13 1/3
Step-by-step explanation:
To find the area of a rectangle, multiply the length by the width.
PLEASE HELP ME!!! I REALLY need it!
Answer:
Step-by-step explanation:
The correct answer is B. The reason why is that you want the total number of floors traveled, so putting each number in an absolute value equation puts it as a positive value. 9 + 12 + 5 + 8 = 34 total floors traveled. Hope that helps.
which net fold into the pyramid above
The correct option is X.
Step-by-step explanation:
From the given figure it is clear that:
1. Pyramid has 4 congruent triangles and a square base.
2. Color of 2 triangles is blue and another two triangles have black and white lines.
3. Triangles with same color or same design can't be on the opposite sides.
Option W is incorrect because it contains 3 blue triangles.
Options Y and Z are incorrect because triangles with same color or same design are on the opposite sides.
Only option X fulfill the above condition.
Therefore the correct option is X.
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What is twenty five minutes before 8
The answer is to your question is 7:35.
Answer:
7:35 AM or PM
Step-by-step explanation:
depends on what time of day it is AM is daytime and PM is nightime. Ithink I deserver brainliest compared to the other answer. Up to you though.
PLEASE HELP. Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.
By factoring out and simplifying, we can see that given expression is divisible by both 30 and 37.
Explanation:The method for solving this question involves using certain properties of numbers and exponents. Firstly, observe the expressions (36^5-6^9) and (38^9-38^8). You can factor out 6^5 from the first expression and 38^8 from the second expression, giving you 6^5(6^4-1) and 38^8(38-1) respectively.
You will notice that 6^4-1 is 1295 and 38-1 is 37. Both 1295 and 37 are divisible by 37, rendering the whole expression divisible by 37. Moreover, 1295 is divisible by 5 and 6^1 is divisible by 6, making the expression divisible by 5*6 = 30.
Therefore, the whole expression is divisible by both 30 and 37.
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To prove the divisibility of the expression, we factor and simplify it. The expression is divisible by both 30 and 37 due to its factors.
Explanation:To prove that the value of the expression b(36^5 - 6^9)(38^9 - 38^8) is divisible by 30 and 37, we can factor out 6 from both terms in each parenthesis.
This gives us b(6^4)(6^9 - 1)(38^8)(38 - 1).
Next, we divide each term by 6, giving us b(6^3)(6^9 - 1)(38^8)(38 - 1)/6.
We can simplify this expression further by factoring out 2 from both terms in the first parentheses, giving us 2^3b(6^6)(6^3 - 1)(38^8)(38 - 1)/6.
Now we can see that the expression is divisible by both 30 and 37, since it contains factors of 2, 3, 5, and 37.
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Which of the following could be used as justification that 3x^2+10x-8 is not prime over the set of rational numbers
A. (3x+2)(x-4)
B. (3x+4)(x-2)
C. (3x-2)(x+4)
D. (3x-4)(x+2)
Answer:
C
Step-by-step explanation:
Consider the trinomial [tex]3x^2+10x-8.[/tex]
We can rewrite it as
[tex]3x^2+10x-8=3x^2+12x-2x-8.[/tex]
Now group first two terms and last two terms:
[tex](3x^2+12x)+(-2x-8).[/tex]
The common factor in first two terms is [tex]3x[/tex] and the common factor in last two terms is [tex]-2.[/tex] Use the distributive property for both groups of terms:
[tex]3x^2+12x=3x(x+4),\\ \\(-2x-8)=-2(x+4),[/tex]
so
[tex](3x^2+12x)+(-2x-8)=3x(x+4)-2(x+4).[/tex]
Now you can see that [tex](x+4)[/tex] is a common factor, thus
[tex]3x(x+4)-2(x+4)=(x+4)(3x-2)=(3x-2)(x+4).[/tex]
Since the trinomial can be represented as a product of binomials, this trinomial is not prime.
WOW 30 POINTS, ANDDD BRAINLIEST, YOU SHOULD ANSWER THIS QUESTION!!! >:o)
Roxanne wants to decide which one of two pair of shoes she
should wear to a party.
Clayton wants to take one of his five kids with him to the
supermarket.
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
Cleo wants to select a shirt from a collection of 13 shirts.
Match each event to the simulation that has exactly the same ratio.
selecting a card from the spades suit.
rolling a six-sided die.
flipping a coin.
spinning a spinner divided into five equal sections.
Answer:
Cleo wants to select a shirt from a collection of 13 shirts. 1/13
selecting a card from the spades suit.
rolling a six-sided die.
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
flipping a coin.
Roxanne wants to decide which one of two pair of shoes she
should wear to a party
spinning a spinner divided into five equal sections.
Clayton wants to take one of his five kids with him to the
supermarket.
Step-by-step explanation:
Roxanne wants to decide which one of two pair of shoes she
should wear to a party. 1/2
Clayton wants to take one of his five kids with him to the
supermarket. 1/5
At a class picnic, the teacher wants to decide which game to
play: baseball, basketball, tennis, volleyball, soccer, or field hockey.
1/6
Cleo wants to select a shirt from a collection of 13 shirts. 1/13
selecting a card from the spades suit.
There are 13 cards in a suit so 1/13
rolling a six-sided die.
1/6
flipping a coin.
two sides on a coin
1/2
spinning a spinner divided into five equal sections.
1/5
Card from spades suit--->Cleo with 13 shirts
6 sided die-----> Class picnic
Flipping a coin---->Roxanne with party shoes
spinning spinner with 5 sections---> Cleo takes one of his kids to the supermarket
What is the approximate area of the shaded region under the standard normal curve below?
Answer:
0.14
Step-by-step explanation:
Find the surface area
Answer:
884yd²
Step-by-step explanation:
Given in the question a pyramid with a square base
Slant height = 20
length of side of square = 18
Area of the figure = base area + 4(triangle area)To calculate base area
base area of pyramid = l²
= 324 yd²
To calculate the one face of pyramid
area of one face = 1/2 (height) x (base)
= 1/2 (20)(14)
= 140
Plug values in the formula
Area of the figure = 324 + 4(140)
= 884 yd²
Answer:
Total surface area = 1044 yd²
Step-by-step explanation:
From the figure we can see a square pyramid.
Base = 18 yd
Slant height = 20 yd
To find the Base area
Total surface area = Base area + (4* area of one lateral face)
Base area = Base² = 18² = 324 yd²
To find the lateral surface area
Area of one face = bh/2
b = base = 18 yd
h = Slant height = 20 yd
Area = bh/2 = (18 * 20)/2 = 180 yd²
Lateral surface area = 4 * 180 = 720 yd²
To find the total surface area
Total surface area = 324 + 720 = 1044 yd²