Using the formula a³ – b³ = (a – b)(a² + ab + b²), we have factor (8m – 1)(64m² + 8m + 1).
What is factor?Factors are the positive integers that can divide a number evenly in mathematics. Say we want to create a product by multiplying two numbers. The factors of the product are the number that is multiplied. Each number has its own factor.
Examples of factors in real life include putting candies in a box, arranging numbers in a pattern, giving chocolates to kids, and many more.
Factors are the figures that can divide an amount precisely. As a result, there is no remainder after division. Factors are the sums of numbers that you multiply to produce another number. A factor is therefore the divisor of another number.
Using the formula
a³ – b³ = (a – b)(a² + ab + b²)
8m³ - 1³ = (8m – 1)(8m² + 8m + 1²)
8m³ - 1³ = (8m – 1)(8m² + 8m + 1²)
8m³ - 1³ = (8m – 1)((8m)² + 8m + 1²)
8m³ - 1³ = (8m – 1)(64m² + 8m + 1)
8m³ - 1³ = (8m – 1)(64m² + 8m + 1)
Thus, Using the formula a³ – b³ = (a – b)(a² + ab + b²), we have factor (8m – 1)(64m² + 8m + 1)
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A gardener wants to know if soaking seeds in water before planting them increases the proportion of seeds that germinate. To investigate, the gardener will assign 50 seeds to be soaked before planting and 50 seeds to be planted without being soaked. After two weeks, the gardener will record how many seeds in each group germinated and construct a 95 percent confidence interval for the difference in proportions. Which of the following conditions for inference should be met?
I. The seeds should be randomly assigned to a treatment.
II. The group sizes should be less than 10 percent of the population sizes.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
a. I only
b. II only
c. III only
d. I and III only
Answer:
d. I and III only
Step-by-step explanation:
I. The seeds should be randomly assigned to a treatment.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
The distribution of difference between two sample proportions :
Given :
Proportion 1 = P1 ;
Proportion 2 = P2 ;
Sample assignment for both samples 1 and 2 into the different treatment groups should be randomized, that is a simple random sampling of subjects into the treatment and control group. The sample design for difference between two sample proportions should be independent.
Finally each of the two proportions P1 and P2 should record a minimum of 10 successes and 10 non - successful Occurrences.
28% of what number is 7? Round your answer to the nearest tenth.
Answer:
25
Step-by-step explanation:
hope i helped, if u have any additional questions feel free to reply here or msg me on ig (/craxzyx) !! <3
25 iS THE ANSEWR SO NOW JUST ROUND
The distance from Rodney's house to the park is 100 meters. If he walks to the park and back to his house, how far will he have walked, in
centimeters?
O A 200 cm
OB. 10,000 cm
OC. 20,000 cm
D. 100,000 cm
Answer:
c. 20,000cm
Step-by-step explanation:
from is house to the park is 100m
from the park back to his house is another 100m
100m+100m=200m
1m = 100cm
200m = xcm
cross multiply
xcm = 200×100
xcm= 20,000cm
HALPPPPP!!
Find k if the line y = kx-5 passes through the point (-6,14)
Answer:
k=-19/6
Step-by-step explanation:
y=kx-5 (-6, 14)
14=k(-6)-5
14=-6k-5
-6k=14+5
-6k=19
k=19/-6
Would the mass of a mouse more likely be 150 gram or 150 kilograms
Can anyone help me with these 3 questions having trouble understanding
Answer:
1. up
Step-by-step explanation:
iyi dersler Good by
iyi dersler
what is 691÷3 in long division
Answer:
230.33333.
Step-by-step explanation:
To know how much 691/3 is in long division, the following mathematical calculation must be performed, taking into account that long divisions seek to divide both the whole numbers and the decimals of the number:
691/3 = 230 (1 left over)
1/3 = 0.333333
230 + 0.33333 = 230.33333
Therefore, 691 divided by 3 results in 230.33333.
1: Calculate the volume of the block GIVEN:=5cm,width=4cm, length =3cm
Solution =
Answer:
volume=length ×breadth/width ×height
=3cm×4cm×5cm
=60cu.cm
1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 = ?
Answer:
:)
Step-by-step explanation:
45
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Which equation represents the linear function that is shown on the graph below?
A. y = 1/2x + 4
B. y = 1/2x - 2
C. y = 4x - 2
D. y = - 2x + 4
Math will give brainliest
Answer: 312
Step-by-step explanation: i just times it
Answer:
Mutiply 24 and 13
24×13=312
312cm3
525x =300x +45x What is the answer to this problem.
Answer:
x=0
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas
Answer:
392 miles in all.
Answer:
392 miles
Thats it
Which table or graph shows the value of y going down as the value of x goes up?
Answer:
c.
Step-by-step explanation:
Sandy borrowed a book from Liabrary and read notice about fines. Each day fine doubles.if snook is 1day overdue ,the fine is $0.02 .if it is 2days overdue,the fine is$0.04,if it is 3 days overdue,it is $0.08 and so on. If sandy book is one week overdue how much will he fine be
Answer:
Step-by-step explanation:
The fines grow exponentially.
f(n) = $0.01×2ⁿ, where n is the number of days
f(7) = $0.01×2⁷ = $1.28
1. Find the permeter of the triangle
(6x + 2) cm
(x- 4)cm
(3x + 1) cm
EASY WORK!!plz look at the photo and yes its easy for other people but not me for people asking.
Answer:
Here's a way this can help! If the graph it by two then any odd number will by by the middle, start by the origin and you'll be able to see it clearly.
Answer:
start by the origin and you'll be able to see it clearly
Step-by-step explanation:
uh
Mikey buys an assorted box of chocolates that contains 18.61 ounces of dark chocolate and 37.23 ounces of milk chocolate. how much do the chocolate weigh in total?
Answer:
55.84 oz
Step-by-step explanation:
Hope this will help
The blue dot is at what value on the number line?
Answer: 4 since it’s going down by 4.
What is the volume, in cubic
inches, of one cube with an edge length of 1/3
inch?
9514 1404 393
Answer:
1/27 cubic inch
Step-by-step explanation:
The volume of a cube is the cube of its edge length:
V = s³
V = (1/3 in)³ = 1/3³ in³ = 1/27 in³
Item 9
John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns,eaming $10 each. He puts that money in the bank
Then John spends $45 on a video game
How much money does he have after that purchase? Use the number line to help you find the answer
Answer:
$45
Step-by-step explanation:
bank account=$50
Allowance=$20
mows two lawns at $10 each=$20
$50+$20+$20=
money in bank=$90
video game=$45
$90-$45=$45
10 20 30 40 45
·___ _ ·_∩_·∩__∩·_∩_∩_·___·_ ·__·___·___·___·___·__
$100 90 80 70 60 50 45 40 30 20 10 0
What is the opposite of this integer: 180,000
Answer:
-180000
Step-by-step explanation:
TIMED
The model shows the addition expression 18 + 12
One expression that is equivalent to this sum is
3 + 6 + 4
3(6 + 4)
3 + 6(4)
3(6) + 4
Answer:
3(6 + 4)
Step-by-step explanation:
We have a model that is showing a certain expression, while knowing that the expression it's showing is "18 + 12"
To solve, all we have to do is simplify the answers. Do as following :
A. 3 + 6 + 4
This is already incorrect, the answer is split into three numbers and we are only looking for two, even if you try combining the numbers to make 2 terms, you will not get 18 + 12.
B. 3(6 + 4)
This is correct, the answer is a distribution problem that when solving :
(3(6) + 3(4))
18 + 12
Gives you what the question is asking for.
C. 3 + 6(4)
This is incorrect, when you distribute 6 and 4, you get 24. Leaving you with the expression 3 + 24.
D. This is incorrect, when you distribute 3 and 6, you get 18. Leaving you with the expression 18 + 4.
Complete the statement describing the solution set to this compound inequality.
Complete the statement describing the solution set to this compound inequality. 3 − 2x ≥ 11 or x + 6 > 14
The solution set includes all values of x that are ___ or ___
a. no more than -4
b. no more than -7
c. at least -7
d. at least -4
a. less than 8
b. less than 20
c. greater than 20
d. greater than 8
Answer:
I believe it is D. at least -4 and also D. greater than 8
Step-by-step explanation:
The solution set includes all values of x that are a. no more than -4 or d. greater than 8.
What is a linear inequality ?Comparing linear expressions which are non equal by inequity signs.
According to the given data.
Complete the statement describing the solution set to this compound inequality 3 − 2x ≥ 11 or x + 6 > 14.
For 3 - 2x ≥ 11
3 - 2x ≥ 11
- 2x ≥ 11 - 3
-2x ≥ 8
- x ≥ 4
Now make x positive by moving it to the other side and this also switches the inequality.
∴ x ≤ - 4.
For x + 6 > 14
x + 6 > 14
x > 14 - 6
x > 8.
So we have two value of x one is less than or equal to -4 and the other is greater than 8.
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Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty related repair (yes or no) and the country in which the company manufacturing a car is based ( in some country X or not in country X). Based on the data collected, the probability that the new car needs a warranty repair is .08, the probability that the car is manufactured by a company based in country X is .60, and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025. Use this information to answer (a) Through (D)
a.)Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair?
b.)Suppose you know that a company based in country X did not manufacture a particular car. What is the probability that the car needs warranty repair?
c.)Are need for warranty repair and location of the company manufacturing the car independent?
Yes or NO or Not enough information
Answer:
1. 0.0417
2. 0.1375
3. no
Step-by-step explanation:
lets define:
A as the probability that a car needs a warranty repair.
B as probability taht the car is manufactured by a company that is based in country X
we have the
prob(A) = 0.08
prob(B) = 0.60
prob(A∩B) = 0.025
a. we are to calculate the probability taht a car manufactured in country X needs a warranty repair.
= p(AIB) =
[tex]P(\frac{AnB}{p(B)}) \\[/tex]
= 0.025/0.60
= 0.0417
2. Probability that car needs warranty repair given it was not manufactured in country X.
P(AIB')
= p(A∩B')/P(B')
= 0.08-0.025/1-0.60
= 0.055/0.40
= 0.1375
3. no, Need for warranty repair and location are not independent
The probability that the car needs warranty repair is 0.0417, the probability that the car needs warranty repair was not manufactured in company X is 0.1375 and no, there is no need for warranty repair and the location of the company manufacturing the car is not independent.
Given :
Ratings are compiled concerning the performance of new cars during the first 90 days of use.Based on the data collected, the probability that the new car needs a warranty repair is .08.The probability that the car is manufactured by a company based in country X is .60.The probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025.a) The probability that the car needs warranty repair is given by:
[tex]\rm P(A|B) = \dfrac{ P(A\cap B)}{P(B)}[/tex]
[tex]\rm P(A|B) = \dfrac{0.025}{0.60}[/tex]
P(A|B) = 0.0417
b) The probability that the car needs warranty repair was not manufactured in company X is given by:
[tex]\rm P(A|B') = \dfrac{ P(A\cap B')}{P(B')}[/tex]
[tex]\rm P(A|B') = \dfrac{0.08-0.025}{1-0.60}[/tex]
P(A|B') = 0.1375
c) No, there is no need for warranty repair and the location of the company manufacturing the car is not independent.
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Rectangles HIJK and WXYZ are similar.
Help ❤️
Answer:
m/3=2/5
Step-by-step explanation:
Based on the graph, what is true about polygon ABCD?
9
00 N
A
6
5
4
3
2-
1
1 2 3 4 5 6 7 8 9
-9-8-7-6-4-3-2-11
-2
-3
المسته
B
w
5
6
-7
18
9
Mark this and return
Answer:
where is the diagram? please provide the diagram.
Please help! Will mark brainliest! ASAP
Answer:
165.00 dollars
Step-by-step explanation:
An outdoor art display is a metal cube with edge length 36 feet. What is the volume of the cube in cubic feet? Type your answer without any spaces or commas will mark brainliest if right
Answer:
46656ft^3
Step-by-step explanation:
I think this would be it but not 100% so sorry if im wrong
consider the line y=6/7x-7
find the equation of the line that is perpendicular to the line and passes through the points (6,3)
find the equation of the line that is parallelto the line and passes through the points (6,3)
Answer:
y = -7/6x + b
Step-by-step explanation:
Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.
y = 6/7x -7 (6,3)
y = -7/6x + b
3 = -7/6(6) + b
3 = -7 + b
7 7
10 = b
y = -7/6x + b
Answer:
see below
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will have a slope of -7/6.
Plug this value (-7/6) into your standard point-slope equation of y = mx + b.
y = -7/6x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -7/6(6) + b
To find b, multiply the slope and the input of x (6)
3 = -42/6 + b
3 = -7 + b
Now, add 7 to both sides to isolate b.
10 = b
Plug this into your standard equation.
y = -7/6x + 10
This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)
If two lines are parallel to each other, they have the same slope.
The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.
Plug this value (6/7) into your standard point-slope equation of y = mx + b.
y = 6/7x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = 6/7(6) + b
To find b, multiply the slope and the input of x (6)
3 = 36/7 + b
Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.
21/7 - 36/7 = b
-15/7 = b
Plug this into your standard equation.
y = 6/7x - 15/7
This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)
Hope this helps!