Answer:
A) (2x − 7) (4x² + 14x + 49)
C) (3x + 5) (9x² − 15x + 25)
Step-by-step explanation:
Sums and differences of cubes factor as:
a³ + b³ = (a + b) (a² − ab + b²)
a³ − b³ = (a − b) (a² + ab + b²)
8x³ − 343 is a difference of cubes.
(2x)³ − 7³
(2x − 7) (4x² + 14x + 49)
27x³ + 125 is a sum of cubes.
(3x)³ + 5³
(3x + 5) (9x² − 15x + 25)
A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes
Answer:
0.9545
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/standard error,
where x is the raw score
μ is the population mean
Standard error = σ/√n
n = random number of samples
σ is the population standard deviation.
For x = 111
z = (x-μ)/standard error
= 111 - 115/20/√100
= -4 /20/10
= -4/2
= -2
Probalility value from Z-Table:
P(x≤ 111) = P(x = 111) = 0.02275
For x = 119
z = (x-μ)/standard error
= 119 - 115/20/√100
= 4 /20/10
= 4/2
= 2
Probability value from Z-Table:
P(x≤ 119) = P(x = 119) = 0.97725
The probability that a sample mean is between 111 and 119 gigabytes
P(-Z<x<Z)
= P(-2< x < 2)
= P(x = 119) - P(x = 111)
= 0.97725 - 0.02275
= 0.9545
Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity
Answer:
1= 6x2
2= -6b3
Step-by-step explanation:
The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given first equation,
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8
-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8
-4x² + 14x + 8 + ? = 2x ²+ 14x + 8
? = 2x ²+ 14x + 8 + 4x² - 14x - 8
? = 6x²
In the second equation,
(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17
(-b³ + 3b² + 8) - (5b³ + 8b² + 17) = (? - 562 - 9)
? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571
? = -6b³ - 5b² + 562
Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".
For more about the equation,
brainly.com/question/10413253
#SPJ6
Which of the following best describes the number shown below?
0.898989...
A. Rational
B. Neither Rational nor Irrational
C. Both Rational and irrational
D. Irrational
Answer:
Step-by-step explanation:
0.898989..... is a rational number because it has a terminating decimals
Help...giving 20 points
Answer:
A.) Cuberoot of 2
B.) (m-3)^ 1/2
C.) Cuberoot of 2² or simple Cuberoot of 4
D.) m^1/2 - 3
E.) Squaroot of 2
Step-by-step explanation:
otis tutors math students on sunday afternoons. he charges $35 for each of the first 10 students. he changed $40 for each additional student the maximum number of students he will accept is 20.
answer each question below:
a. what did otis make if 8 students came on the first sunday?
b. what did otis made if 17 students came of the second sunday
c. if a is the amount that otis makes from S students that he tutors, write A as a piece wise function of S
Pls, Help! I need this today!
Answer:
see below
Step-by-step explanation:
5/6 + ( -1 1/6)
Changing the mixed number
5/6 + - (6/6 +1/6)
5/6 + ( -7/6)
-2/6
Simplify
-1/3
Since these are divided into 6 pieces, go two pieces to the left of zero.
A student rolls a fair die 10 times and obtained an even number 10 times. The student believes that the next roll will
be an odd number because "odds are due."
Is this correct?
Yes, if the die is fair, then an odd number is due because the probability will approach 50%.
No, an even number is due based on past experience.
Yes, it is certain that an odd number will be rolled next because it is impossible to roll an even number 11 times in
a row.
No, an even or odd outcome is equally likely for each roll, regardless of what has happened in the past.
Answer:
N0, an even or odd outcome is equally likely for each roll regardless of what happened in the past
Step-by-step explanation:
Answer:
D. No, an even or odd outcome is equally likely for each roll, regardless of what has happened in the past.
5x+2=3x+6 what does x equal?
Answer:
x=2
Step-by-step explanation:
plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!
Answer:
10
Step-by-step explanation:
This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:
1 2 3 4 5
Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.
Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.
Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.
Person 4 can only shake 5's hand, which is 1 handshake.
Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.
How many ten thousands =400 hundreds
Answer:
4.
Step-by-step explanation:
Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.
what is 9 times 12 Answer divided by 12 times 8 answer thats it
Answer:
1.125
Step-by-step explanation:
Multiply first
(9*12)/(12*8)
108/96
then divide
1.125
Answer:
72
Step-by-step explanation:
9 × 12 = 108
108 ÷ 12 × 8 = 72
Ms.rider travels 468 miles in 6 hours . how many miles per hour is she driving
Answer:
78
Step-by-step explanation:
She is driving 78 miles per hour because if you take the miles she drove, and the amount of time she drove, and divide them, you get 78 :)
Plz answer me will mark as brainliest and will be reported if wrong answer
Answer:
1,2,3,6,and 9
Step-by-step explanation:
18=1×18
=2×9
=3×6
=1,2,3,6and9
The set of odd numbers greater than 19 ? Infinite or finite
Answer: Infinite
Odd numbers are of the form 2n+1, where n is an integer
Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.
I WILL GIVE Brainliest FOR ANSWER
I need the answer to the image
Answer:
∠B = 156°
Step-by-step explanation:
A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:
[tex]∠A = ∠B \\ 8x +78 = 2x +144[/tex]
Solving for x:
[tex]8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11[/tex]
Solving Angle B if x = 11.
[tex]∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166[/tex]
Convert the following decimals to percentages.
0.52 =
%
Answer:
52% is the answer
52%
all decimals can convert to percentages easily. For example:
0.76 = 76%
0.4 = 40%
0.093 = 9.3%
just move the decimal point 2 places backwards.
Please help!!!!!!!!!!!
Answer:
with what?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertical angles are always congruent or equal
first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical
Identify the property being illustrated.
6x + 7 = 7 + 6x
Answer:
Commutative property of addition
Help me ASAP plssssssssss
Answer:
Community Parks
Step-by-step explanation:
Answer:
D
Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)
ezekiel has $250 in his bank account
Evaluate this function f(x)= -x2+6x+19 Find f(5)
Answer:
f(5) = -10+30+19 = 39
Step-by-step explanation:
f(5) = (-5)2+6(5)+19
-10+30+19
=39
Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.
Answer: Width=76 ft
Step-by-step explanation:
Let x = width, then x+17=length
Solve:
(x+17)x=7086
x²+17x=7086
x²+17x-7086=0
(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer
x=76 or x=-93 (rej) ⇔ A length cannot be negative.
MATH please heeeeeeelp
Step-by-step explanation:
Its additive inverse!
Use integers to represent the values in the statement.
The highest elevation in a country is a mountain, with an altitude of 14,240 feet. The lowest elevation in the country is a valley, with an altitude of 285 feet below sea level.
The integer represents the mountain's altitude, measured in feet.
Answer:
Highest Elevation: 14240
Lowest Elevation: -285
Step-by-step explanation:
Given
[tex]Highest\ Elevation = 14,240\ ft[/tex] above sea level
[tex]Lowest\ Elevation = 285\ ft[/tex] below sea level
Required
Represent both altitudes as an integer
For the Mountain:
Take the sea level as 0 feet
[tex]Altitude = Highest\ Elevation - Sea\ Level[/tex]
[tex]Altitude = 14240 - 0[/tex]
[tex]Altitude = 14240[/tex]
Hence, the integer is 14240
For the Valley:
Take the sea level as 0 feet
[tex]Altitude = Sea\ Level - Lowest\ Elevation[/tex]
[tex]Altitude = 0 - 285[/tex]
[tex]Altitude = -285[/tex]
Hence, the integer is -285
What is the lcm of 12 and 3
Answer:
LCM of 12 and 3 is 12
Step-by-step explanation:
hope it helps you vhprince
A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over 21 years old, the probability of drinking alcohol is 0.8. It is also known that 30% of the college students are over 21 years old. Of the students who are not over 21, what is the probability they drink alcohol? Group of answer choices
Answer: 0.5143
Step-by-step explanation:
Probability of students who are over 21 years old = 30% = 0.3
Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7
Probability of drinking alcohol for over 21 = 80% = 0.8
Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2
Let the probability of the students who are not over 21, that drink alcohol be p.
Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)
0.6 = (0.3 × 0.8) + (0.7 × p)
0.6 = 0.24 + 0.7p
0.7p = 0.6 - 0.24
0.7p = 0.36
p = 0.36/0.7
p = 0.5143
The probability of the students who are not over 21, that drink alcohol is 0.5143.
Function notation
Given f(x) = 5x - 3, find f(-2).
Choose:
A-13
B-7
C-5
D0
Steps to solve:
f(x) = 5x - 3
~Substitute
f(-2) = 5(-2) - 3
~Simplify
f(-2) = -10 - 3
~Subtract
f(-2) = -13 (Option A)
Best of Luck!
Answer:
Step-by-step explanation:
f(-2) = 5(-2) - 3 = -10 - 3 = -13
A is the answer
Tyrone solved an algebraic equation correctly. He got the answer 5 = 3. This answer indicates that the solution to the equation is: A. x = 3 B. x = 5 C. infinitely many solutions D. no solution
Answer:
No solution.
Step-by-step explanation:
5 can't equal 3 my friend.
Answer:
D no solution.
Step-by-step explanation:
5 doesn't equal 3
A church luncheon made $842. Adult tickets cost $10 each and children’s tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many of each ticket were sold?
the number of adult ticket's sold = 35
And the number of child ticket's sold = 2 x 35 + 12 = 70 + 12 = 82
Step-by-step explanation:
Answer:
312
Step-by-step explanation:
12*6 for children 24 of adult because of of double children 24*10 240 so 240+72=312