To compare two data sets, their variation must be similar because the variation will affect many other variables, including the mean.
What is the variation?When referring to data, the variation is about how much the data variates or the range of the data. For example, if you ask people about their age, the data can spread from 10 years old to 90 years old.
Why is variation important?This affects other variables when analyzing data such as the mean, which implies you can only compare two sets of data if the variation is similar.
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50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)
Answer:
Linear Equation 1 — 3xyz
Linear Equation 2 — x = 4 and y = 2
Linear Equation 3 — x = 1 and y = (-1)
Step-by-step explanation:
(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
The required result must be 3xyz.
(Linear Equation 2)
2x − y = 6 ....(1)
x − y = 2 ....(2)
Equation(2)−Equation(1) we get
x − y − 2x + by = 2 − 6
(−x) = (−4)
x = 4
Substitute x = 4 in (1) we get
2x − y = 6
2*4 − y = 6
8 − y = 6
(−y) = 6 − 8
y=2
(Linear Equation 3)
ax + by = a − b .......... (1)
bx − ay = a + b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a²x + aby = a² − ab ..........(3)
b²x − aby = ab + b² ......... (4)
Adding (3) and (4), we get,
(a² + b²)x = a² + b²
x = 1
Now, from (1),
ax + by = a − b
a + by = a − b
by = (−b)
y = (−1)
Hope my answer helps you ✌️
Mark BRAINLIEST
Please help ASAP 20 points
I don't really understand this question.
Answer:
a) 3/2 or 1 1/2
b) 5/3 or 1 2/3
Step-by-step explanation:
1/2 + 1/2 + 1/2 =
3 x 1/2 =
3/2 or 1 1/2
1/3 + 1/3 + 1/3 + 1/3 + 1/3 =
5 x 1/3 =
5/3 or 1 2/3
Answer: (a) 1 1/2 and (b) 1 2/3
Step-by-step explanation: (a) 1/2 + 1/2 + 1/2 = 1/2 x 3
= 3/2
Now convert this into mixed fractions (basically divide the smaller number of the improper fraction by the the bigger one).
Therefore, 3/2 = 1 1/2 ( 1 1/2 is 1 whole and 1/2)
(b) 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 1/3 x 5
= 5/3
mixed number = 1 2/3 ( 1 2/3 is 1 whole and 2/3)
help me please if you know how to do this
Answer:hi
Step-by-step explanation:
sorry i needed the points
Answer:
135.6 ft²
Step-by-step explanation:
Surface area of triangular pyramid:In the triangular pyramid, base is an equilateral triangle, and the lateral faces are congruent triangles. So, to find the surface area add the area of base triangle with the area of 3 lateral triangles.
a) Base area of pyramid:
b= 8 cm
h = 6.9 cm
[tex]\boxed{\bf base \ area \ of \ pyramid = \dfrac{1}{2}*b*h}[/tex]
[tex]= \dfrac{1}{2}*8*6.9\\\\=4*6.9\\\\= 27.6 \ ft^2[/tex]
b) Area of one lateral surface area of pyramid:
b = 8 cm
slant height = l = 9 cm
[tex]\boxed{\text{\bf area of one lateral surface area of the pyramid = }\dfrac{1}{2}b*l}[/tex]
[tex]\sf = \dfrac{1}{2}*8*9\\\\= 4 * 9\\\\= 36 \ ft^2[/tex]
c) Lateral surface area of the pyramid = 3 * area of one lateral surface area of pyramid
= 3 * 36
= 108 ft²
d)TSA of pyramid:
[tex]\boxed{\text{\bf Total surface area of pyramid = base area + lateral surface area}}[/tex]
= 27.6 + 108
= 135.6 ft²
m-18.22=37.8 HELPPPP
rite an addition equation to show how you decomposed
7/6
.
Answer:
For the fraction model, fill the whole left bar, and only 1 in the right bar.
The addition equation is:
⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ = 7/6
Explanation:
Since the bar is divided into sixths (1/6 each), just count by 1/6 each time you fill each one and use the equation to represent the process.
help me pls, i need correct answers
Answer:2.16
Step-by-step explanation:
Suppose that you know that angle t and angle s are supplementary, and that the measure of angle t = 3 times the measure of angle s.
How can you find the measure of angle t ?
Answer: 135 degrees
Step-by-step explanation:
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.
Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.
Therefore, we can create this equation.
3s + s = 180
4s= 180
s = 45
Angle s is 45 degrees.
180 - 45 = 135
Angle t is 135 degrees.
A student wants to know the approximate distance between London and Beijing. Using a string, she finds that the distance on a globe between London and Beijing is about 36 centimeters and between London and New York is about 22 centimeters. The actual distance between London and New York is about 5000 kilometers. If she lets d represent the approximate distance in kilometers between London and Beijing, what is d rounded to the nearest whole number?
Answer: 8182
Step-by-step explanation:A correct proportion to use is 22 over 5,000 = 36 over d
Candy has some money
She bought a drink for £ 1.45 and a piece of cake for £ 1.20
She now has two thirds of her money left.
How much money did Candy have to start with
Answer:
7.95
Explanation:
1.45+1.20= 2.65
2.65x3=7.95
What is the volume of the prism?
Answer:
Step-by-step explanation:
The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.
The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.
Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.
We need to find its volume.
The volume of the triangular prism = base area × height
Here,
Base area = area of the triangle
= 1/2 × base × height
= 1/2 × 3.2 × 2.5
= 4 cm²
And,
Height of the prism = 8 cm
Substituting the values,
V = 4 × 8
V = 32 cm³
Hence the volume of the prims is 32 cm³.
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A set of eight cards were labeled with D, I, V, I, S, I, O, N. What is the sample space for choosing one card?
S = {V, S, I, D, I, I, N, O}
S = {D, I, S, O, N}
S = {V, I, O}
S = {D, I}
Answer:S = {V, S, I, D, I, I, N, O}
Step-by-step explanation: Im not sure but im pretty sure that this is the answer
Help meeeeeeeeeeeeeee
Answer:
The error made in simplifying the expression is that 54 · 1 is supposed to be equivalent to 54, not 1.
Step-by-step explanation:
The Multiplication Property of One states that any number that is multiplied by one will stay the same, keeping its exact numerical value as before. However, in the expression shown, 54 multiplied 1 ended up equaling 1, which does not fit the Multiplication Property of One. Therefore, the error made in simplifying the expression is that 54 · 1 is supposed to equal 54, and not 1, based on the rule of multiplying any number by 1.
Have a great day! Feel free to let me know if you have any more questions :)
please help if you know how to do this, show an explanation please
Answer:
a. 8, 3, 6, 10
b: 220
Step-by-step explanation:
surface area = bh + (b1 + b2 + b3) L
6(8) + (6+8+3) x 10
48 + (17)(10)
48 + 170 = 220
Answer:
96 ft²
Step-by-step explanation:
Surface area of triangular prism:A = 8 ft
B = 2 ft
C = 6 ft
D = 10 ft
[tex]\boxed{\bf Surface \ area \ of \ right \ triangular \ prism = (perimeter \ of \ triangle)*B + C*A }[/tex]
= (A + C + D)* B + C*A
= (8 + 6 + 10)*2 + 6*8
= 24*2 + 48
= 48 + 48
= 96 ft²
mathematics 20 points
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. Which probabilities correctly complete the probability distribution for the 50 pieces of fruit, in the order listed?
Answer:
B
Step-by-step explanation:
Probability of apple :
No. of apple / No. of fruits
• 10/50
• 0.2
Probability of banana :
No. of banana / No. of fruits
• 15/50
• 0.3
Probability of lemon :
No. of lemon / No. of fruits
• 6/50
• 0.12
Probability of orange :
No. of orange / No. of fruits
• 14/50
• 0.28
Probability of pear :
No. of pear / No. of fruits
• 5/50
• 0.1
If the Percent of Discount is 15% and the Sale Price is $146.54 what the Original Price? PLS Y'ALL GET 100 POINTS FOR DIS! PLS HELP ME!!??
Answer: the original price of the item was $172.40.
Step-by-step explanation: If the percent of discount is 15% and the sale price is $146.54, we can use the following formula to find the original price:
Original price = Sale price / (1 - Percent discount as a decimal)
First, we need to convert the percent discount to a decimal by dividing it by 100:
15% = 0.15
Substituting the given values into the formula, we get:
Original price = 146.54 / (1 - 0.15)
Original price = 146.54 / 0.85
Original price = $172.40
Therefore, the original price of the item was $172.40.
Answer:
172.40
Step-by-step explanation:
w-[0.15]=146.54
so w-85p=146.54
146.54 divided by 80=1.724 so when you make it a percent it turns it into 172.40 which is the final answer for the money.
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
1. Calculate the range and interquartile range for each set of data.
2. Using complete sentences, compare the data sets based on your results in part A.
Answer:
ok so the range for studied is 21 and the interquartile is 10
and the range for did not study is 46 and the interquartile is 19.5
Step-by-step explanation:
also, what do you need for 2 comments so I can help brainlyness please
i need help pls mathematics :)
Answer:
The solution is B. 2 2/10
Step-by-step explanation:
[tex]6 \frac{8}{10} - 4 \frac{6}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = (6 - 4) + ( \frac{8}{10} - \frac{6}{10} ) \\ = 2 + ( \frac{2}{10} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \frac{2}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
The graphs of six linear equations are shown below. Which of these graphs have a greater rate of change than the equation y=1/2 x+3?
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?
A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation
Answer: A) Reflection across the y-axis
You flip a coin 8 times and get heads 6 times. so the probability is 6/8
Answer:
yes
Step-by-step explanation:
yes
50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)
ax+by=a−b .......... (1)
bx−ay=a+b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a
2
x+aby=a
2
−ab ..........(3)
b
2
x−aby=ab+b
2
......... (4)
Adding (3) and (4), we get,
(a
2
+b
2
)x=a
2
+b
2
⇒x=1
Now, from (1),
ax+by=a−b
a+by=a−b
by=−b
y=−1
Answer:
The equation represents a polynomial equation in which the variables X, y, and z are raised to the third power and are equal to a constant value "k".The degree of the polynomial is 3, meaning that the highest power of the variable is 3. The equation has no solution if k is not a sum of three cubes of real numbers.A polynomial equation is an equation that involves one or more variables raised to apower, or exponent, and can include constants and coefficients. The sum or difference of two or more such equations is also a polynomial equation. The degree of a polynomial equation is the highest power of the variable in the equation. For example, in the equation , the degree is 2 because the highest power of the variable X is 2.A polynomial equation of degree one is a linear equation, and a polynomial equation of degree two is a quadratic equation. The solutions of a polynomial equation of degree n will be n roots/solutions. The solutions can be real or complex numbers.
guys i need help on my aleks topics pls!
No aswer is correct
Step-by-step explanation:
Help me!!
What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?
Heroine. Explanation: The first two letter i.e. 'he' refers to male person, the first 3 letters i.e. 'her' denotes female, the first 4 letter i.e. 'hero' means a great personality while the whole world i.e. heroine is the great woman.
Question is in picture down below
PLEASE include explaination
Answer: 3 units (look at the image for the solution)
Step-by-step explanation:
Answer:
109-5h
Step-by-step explanation:
Idek
There are 30 businesses with 4 executives each for the new office building. Each business needs one office for each of its
executives. The building has 1,440 offices. What is the proportion of executives to offices?
A 1 to 12
B
4 to 1
C
1 to 6
D
6 to 1
Answer:
A. 1 to 12
Step-by-step explanation:
if each business has 4 executives there is a total of 120 executives
30(4) = 120
to find the proportion of executives to offices we divide the number of offices by the number of executives
1440/120 = 12
a more in depth look is
1440 offices / 120 executives
"offices" and "executives" cannot divide each other out, but the 1440 and 120 can so it would be
12 offices / 1 executive
help me pls i dont get this
Answer: 0.12, 1/8, 14%, 0.2
Step-by-step explanation:
We can try and convert everything to a decimal in order to make things easier. 0.12 and 0.2 are already given to us. Now we convert 1/8 to a decimal by dividing 1 by 8 and you should get 0.125. Next convert 14% to a decimal by moving the decimal place 2 places foward, which gives you 0.14. Your numbers are 0.12, 0.2, 0.125, and 0.14 now you place them into order from least to greatest. Since one of them is three digits you can make the rest three digits to make it easier. 0.120, 0.200, 0.125, 0.140.
Your final answer would be 0.12, 0.125, 0.14, 0.2
HELp
what the least possible digit u can make using 2,0,2,3. AND this number has to be divisible by 4
Answer:
0232
Step-by-step explanation:
0232/4 = 58
