From the inequality given by -2w < 24, w is greater than -12.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
Solving the inequality,
-2w < 24
Making sure the unknown variable is in one side and the constants in the other side.
-2w < 24
Divide both sides by -2, the coefficient beside the unknown variable,
(-2/-2)w < 24/-2
w < -12
Note that when we multiply or divide by a negative number
we must reverse the inequality.
w < -12 ⇒ w > -12
Therefore, w is greater than -12.
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HELPPP pweaseeee :( im confused again
Answer:
its 23
Step-by-step explanation:
23-19 is 4
4 squared is 2
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. Is avery interpreting the probability correctly?.
Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site
What is meant by Probability?Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes
given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40
Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey
Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site
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Answer:
Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.
Step-by-step explanation:
What does the term probability mean?
Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event
Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey
Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.
Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.
The triangle below is a right triangle what is the length of UV in centimeters
Answer:
56
Step-by-step explanation:
formula- a^2 + b^2 = c^2
33^2 + b^2 = 65^2
1089 + b^2 = 4225
b^2 = 3136
find square root
b = 56
If I1 ⊇ I2 ⊇ .... In ⊇... is a nested sequence of intervals and if In = [an; bn], show that a1 ≤ a2 ≤ ....... ≤ an ≤ ........ and b1 ≤ b2 ≤..... bn ≤ ......
The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:
1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.
To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.
First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.
Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.
We can continue this process for all the intervals in the sequence, until we reach In. So we have:
a1 ≤ a2 ≤ ... ≤ an-1 ≤ an
and
b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn
This shows that the endpoints of the intervals are ordered in the same way.
Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:
Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:
1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.
Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .
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Study the following program:
x = 1 while True: if x % 5 = = 0: break print(x) x + = 1 What will be the output of this code?
The output of the following code snippet will be 1, 2, 3, and 4.
The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:
Step 1: Assign 1 to x.x = 1
Step 2: Start an infinite loop using the while True statement.
Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.
Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.
Step 5: Print the value of x to the console using the print(x) statement.
Step 6: Increment the value of x by 1 using the x += 1 statement.
Step 7: Repeat steps 3-6 until the break statement is executed.
Therefore, the output of the code will be: 1 2 3 4.
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Nellie's drama club is taking a trip by bus to see a performance at the Carmine Theater. The theater is 125 miles from Nellie's school. The bus driver plans to stop and refuel after 1.5 hours, then complete the trip. The bus driver plans to drive at an average speed of 50 miles per hour.
Which equation can you use to predict how many hours, x, the second part of the trip will take?
The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50 x = 1
To predict how many hours, x, the second part of the trip will take, we can use the equation:
x = (total distance - distance traveled in the first part) / average speed
In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.
Substituting these values into the equation, we have:
x = (125 - 75) / 50
Simplifying the equation, we get:
x = 50 / 50
x = 1
Therefore, the equation to predict how many hours, x, the second part of the trip will take is:
x = (total distance - distance traveled in the first part) / average speed
x = (125 - 75) / 50
x = 1
This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.
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✨I NEED A SMART PERSON✨ (math)
Answer:
A and E.
Step-by-step explanation:
Using the math from 7th grade, 6 rooted is 36/9=4+10 is 14. Everything else you must multiply everything in parenthesis, by the outside number, then you add them. E is right because -15+35=20-6=14. Yw.
Round the number to 3
significant figures.
0.2590100
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)
Answer:
=28n2−27n
Step-by-step explanation:
F)Determine the range of prices that the charity could consider, in order to make a monthly profit of at least $3000. (2 marks)
The charity needs to consider a range of prices that will guarantee it a monthly profit of at least $3000. To determine the range of prices that can generate such profit, we need to make use of the total cost function and the revenue function.
These functions can help us identify the price range that will provide a profit margin of $3000 or more.Let’s consider the total cost function first:Total Cost (TC) = Fixed Cost (FC) + Variable Cost (VC)In this problem, the fixed cost is given as $8000. Variable cost is calculated as VC = $20x (where x is the number of units of books sold).So, TC = $8000 + $20xFor the revenue function, the price per book is given as $30. We also know that the number of books sold is equal to the number of books printed and that the book printer requires a minimum order of 1000 books before they can start printing.
Therefore, the revenue function is given as R = $30x, where x is the number of units of books sold.Using these two functions, we can now calculate the profit function:Profit = Revenue - Total CostP = R - TCP = $30x - ($8000 + $20x)P = $10x - $8000We want to determine the range of prices that will generate a monthly profit of at least $3000. Therefore, we can set up an inequality and solve for x as follows:$10x - $8000 ≥ $3000$10x ≥ $11000x ≥ 1100Hence, x should be greater than or equal to 1100 to generate a profit of $3000 or more. Since the book printer requires a minimum order of 1000 books, the charity should set its price such that it will sell more than 1000 books to achieve the profit target.
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Pls answer ASAP!! ILL MARK BRAINLIEST
Answer:
See explanation
Step-by-step explanation:
In this question, you are given a table with x and y points.
If you convert those values into coordinate points (x, y) you'll get the following points:
(4, 3) (2, 6) (5, 0)
A coordinate point is (x, y) meaning you should find the first value on the x-axis (horizontal axis) and move up y units.
Or, you can also find the y value on the y-axis (vertical axis) and move left x units.
For example, for (4, 3) you should find 4 on the x-axis, and move up 3 units.
For (2, 6) you should find 2 on the x-axis, and move up 6 units.
For (5, 0) you should find 5 on the x-axis, and move up 0 units.
Hope that makes sense, let me know if you have any questions.
I have also attached the points graphed on a graphing calculator to avoid any confusion.
In April, Neil Armstrong ran a 5-kilometer race in 30
minutes to support his local hospital. In October, he
will run a 10-kilometer race to support the animal
shelter. If he runs at the same rate, how many minutes
will it take Warren to run the race in October?
Answer:
60 minutes
Step-by-step explanation:
It took him 30 minutes to run 5 kilometers, so doubling 5 to 10 would double 30 to 60 minutes
A runner for team 1 can run a race in 58 seconds. Team 1 has running times with a mean of 64.2 seconds and a standard deviation of 1 seconds. A runner for team 2 can run a race in 56.1 seconds. Team 2 has running times with a mean of 62.1 seconds and a standard deviation of 4.2 seconds.
Required:
a. Which runner is faster?
b. What is the Z-score associated with the running time of runner for team 1?
c. What is the Z-score associated with the running time of runner for team 2?
a. Team 2's runner is faster as their time of 56.1 seconds is less than that of Team 1's runner who can run a race in 58 seconds.
b. The Z-score associated with the running time of runner for team 1 is -6.2.
c. The Z-score associated with the running time of runner for team 2 is -1.43.
a. Team 2's runner is faster as their time of 56.1 seconds is less than that of Team 1's runner who can run a race in 58 seconds.
b. Z-score associated with the running time of runner for team 1 will be calculated as follows:
Z-score = (X - µ) / σ
where X = runner's time = 58 seconds, µ = mean of the team = 64.2 seconds, σ = standard deviation of the team = 1 second
So, Z-score = (58 - 64.2) / 1= -6.2
Therefore, the Z-score associated with the running time of runner for team 1 is -6.2.
c. Z-score associated with the running time of runner for team 2 will be calculated as follows:
Z-score = (X - µ) / σ
where X = runner's time = 56.1 seconds, µ = mean of the team = 62.1 seconds, σ = standard deviation of the team = 4.2 seconds
So, Z-score = (56.1 - 62.1) / 4.2= -1.43
Therefore, the Z-score associated with the running time of runner for team 2 is -1.43.
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90 POINTS!!! PLEASEE HELP AND SHOW WORK. I WILL GIVE BRAINLIEST IF ALL WORK IS SHOWN THANKSS.
Answer:
18. 3.3years
Step-by-step explanation:
18. 20,000 - (20,000 - .15x) = 10,000
15% of 20,000 is 3,000
Please help me get the answer
Answer: c
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
uhhhhhhh
Step-by-step explanation:
Answer:
about 314 units
Step-by-step explanation:
i was confused but i hope this helps
6) What is the measure of angle bpc?
Mason is working two summer jobs, making $12 per hour landscaping and making $15 per hour clearing tables. In a given week, he can work a maximum of 16 total hours and must earn no less than $210. Also, he must work no less than 12 hours clearing tables. If x represents the number of hours landscaping and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Inequality 1:
Inequality 2:
Inequality 3:
Mason could work ( ) hours landscaping and ( ) hours clearing tables.
Answer:
I can't see the images so if you can attach a link i will do it
Step-by-step explanation:
Hi, it would be much appreciated if someone could help me with this question. All screenshots are attached. Thanks so much :)
Answer:
Step-by-step explanation:
25x6
the following is a relative frequency distribution of grades in an introductory statistics course. grade relative frequency a 0.22 b ? c 0.18 d 0.17 f 0.06
The relative frequency for B grade is 0.37.
The relative frequency, also called empirical probability or experimental probability refers to the ratio of the number of desired outcomes of an event occurring to the total number of trials in an actual experiment. In other words, a relative frequency reveals how often a specific type of event takes place within the total number of observations.
It is determined as a quotient value of frequency over the total possible outcomes. The sum of all relative frequencies for a particular experiment is always one. Hence, based on the given relative frequency distribution,
0.22 + x + 0.18 + 0.17 + 0.06 = 1
0.63 + x = 1
x = 1 – 0.63
x = 0.37
The relative frequency for B grade is 0.37.
Note: The question is incomplete. The complete question probably is: The following is a partial relative frequency distribution of grades in an introductory statistics course. Grade = A, B, C, D, F. Relative Frequency = 0.22, x, 0.18, 0.17, 0.06. Find the value of x, the relative frequency for B grade.
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What function is a vertical shift of f(x) = x?
A) g(x) = 3f(x)
B) g(x) = f(x - 3)
C) g(x) = f(x) + 4
D) g(x) = 1/2 f(x)
Answer:
C) g(x) = f(x) + 4
Step-by-step explanation:
A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A
-anumber would slide the function DOWN instead.
As for the other answers:
A) the 3multiplied in front is a vertical STRETCH.
D) the 1/2 multiplied in front is a vertical shrink (smash)
B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.
how many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed
Answer:
To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:
Step-by-step explanation:
Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)
In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:
Number of permutations = 6 x 6 x 6 = 216
Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.
However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.
Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.
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Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.
A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?
B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?
A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.
B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.
What is the monthly payment required for an ordinary annuity set up 30 years before retirement?To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.
How much must be paid monthly for an ordinary annuity set up 20 years before retirement?For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.
It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.
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Olympia ate lunch at a restaurant the amount of her check was $6.89 she left eight dollars on the table which included the amount she owed plus a tip for the waiter which equation shows t and the amount of her tip in dollars
The equation will be like this,
6.89 + t = 8.00
t = 8 - 6.89
t = 1.11
tips = $1.11
6.89 + t = 8.00
To sum up the total amount of cash and coins you have, first, sort each invoice and coin by denomination. Create a separate stack for each denomination and count how many denominations or coins you have.
For each denomination of banknotes and coins, multiply the number you have by the denomination. For example, if you have 4 out of $ 10, multiply by 4x10 to get $ 40. If you have three $ 5 bills, multiply by 3x5 to get $ 15.
Sum the totals to calculate the total amount.
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Complete the equation of the line through (-6,5) and (-3,3). use exact numbers y=
We know the line equation is expressed by
y = mx + b, where is m is its slope (how inclinated it is) and b is intercept with the y-axis.
Finding m
We find its inclination, its slope, m, by
\(\begin{gathered} m=\frac{\Delta y}{\Delta x} \\ =\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}\)Let's say
(x₁, y₁) = (-6, 5)
(x₂, y₂) = (-3, 3)
Then
\(\begin{gathered} m=\frac{3-5}{-3-(-6)} \\ =\frac{-2}{-3+6}=\frac{-2}{3} \\ m=-\frac{2}{3} \end{gathered}\)Then y = -(2/3)x + b,
Finding b
Since b is intercept with the y-axis, we know it intercepts y when x = 0
Using the equation we have found y = -(2/3)x + b, and replacing one point given by the question (x₂, y₂) = (-3, 3)
y = -(2/3)x + b
3 = -(2/3)(-3) + b
3 = -2 + b
3 + 2 = b
Then, b = 5
Therefore,
Answer, y = -(2/3)x + 5,
1/2y=25
Help please
Answer:
=> 25 x 2 = 50
Step-by-step explanation:
1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.
Answer:
its d or b
Step-by-step explanation:
Answer:i think it is d
Step-by-step explanation:
4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey's
functions, x is the amount of time that passes in minutes and f(x) is the glider's distance from the ground in
feet. After how many seconds will the glider reach its maximum distance from the ground?
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
Answer:
After 2 seconds
Step-by-step explanation:
Here is the screenshot of the parabola that formed from the quadratic equation.
As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.
Also as stated in the question " After how many seconds will the glider reach its maximum distance from the ground?" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.
Thus, the answer would be 2 seconds
Please evaluate this...
Want it in detail...
Will mark Brainliest for the best answer..
Step-by-step explanation:
everything can be found in the picture
Find the length of segment JK. (Enter the just the value, without any units.)
Answer:
x = 8
Step-by-step explanation:
Since we know that the 2 triangles are similar (AA Similarity), we find the ratio of Triangle PLM: 2
We then multiply 4 by 2 (the ratio) to get x = 8 as length JK.
Answer:
8Step-by-step explanation:
From the figure, <LJK =~ <LPM , also, <JLK =~ <PLM because vertical angles are congruent.
By Angle - Angle (AA) Similarity postulate, of two angles of a triangle are congruent to two angles of another triangle , then the triangles are similar.
Hence, ∆JLK ~ ∆PLM
Use the corresponding side lengths to write a proportion.
\( \frac{jl}{pl} = \frac{jk}{pm} \)
\( \frac{4}{6} = \frac{x}{12} \)
Apply cross product property
\(6 \times x = 12 \times 4\)
\(6x = 48\)
Divide both sides of the equation by 6
\( \frac{6x}{6} = \frac{48}{6} \)
Calculate
\(x = 8\)
Since, JK = x then,
JK = 8
hope this helps...
Good luck on your assignment...