Must have third quartile of a data set be less than the maximum value? Explain.
The variable z varies jointly with x and y. also, z = -75 when x = 3 and y = -5. what equation describes this variation?
Answer:
c
5
-10
Step-by-step explanation:
A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2 + 250 can be used to represent the approximate height of the object off the ground after x seconds. Which is the best estimate for the amount of time elapsed when the object is 120 meters off the ground? 4 seconds 5 seconds 6 seconds 7 seconds
(The answer is 5 seconds)
Answer:
B is the answer
Step-by-step explanation:
i just took the test
A flagpole stands on a concrete region, as shown. What is the approximate perimeter of the concrete region? Use 3.14 for π.
Thanks!
18. you work a part-time job earning $6.80/hr with tips that average $2.30/hr. you work 20 hr/wk and your deductions are FICA (7.65%), federal tax withholding (8.95%), and state tax withholding (6.1%). how much are you allowed in housing expenses per month?
Im asking for help not for you to do it.
Total housing expenses per month allowed will be $168.81.
To calculate how much you are allowed in housing expenses per month, we need to first determine your after-tax income.
You earn $6.80/hr plus tips averaging $2.30/hr, resulting in an hourly wage of
$6.80 + $2.30 = $9.10
Working 20 hours a week gives you a weekly income of
20 hours × $9.10/hr = $182
Monthly, this equates
$182 4 weeks = $728
The deductions are as follows: FICA (7.65%), federal tax withholding (8.95%), and state tax withholding (6.1%). These deductions total to
7.65% + 8.95% + 6.1% = 22.7%
To get the after-tax income, we calculate
$728 - (22.7% × $728)
≈ $562.69
This is your monthly take-home pay.
Financial experts often recommend spending no more than 30% of your take-home pay on housing. Therefore
$562.69 × 30%
= $168.81 houses expenses per month
Solve the proportion. Show your work.
How many two-digit positive integers can be formed from the digits 1, 5, 6, and 8 if no digit is repeated?
john buys a new bedroom set on credit for $2760 and no interest. he pays $115 per month. what is the equation that models the money john owes?
A box contains 3 blue and 2 red pens while another box contains 2 blue and 5 red pens. a pen drawn at random from one of the boxes turns out to be blue. what is the probability that it came from the first box
The probability of getting blue from the first box is 3/5.
Given that, a box contains 3 blue and 2 red pens while another box contains 2 blue and 5 red pens.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favourable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n.
The probability of getting blue from the first box:
The number of favourable outcomes = 3 and the number of total outcomes =5
So, P(E) = 3/5
The probability of getting blue from the second box:
The number of favourable outcomes = 2 and the number of total outcomes =7
So, P(E) = 2/7
Therefore, the probability of getting blue from the first box is 3/5.
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What is the IMA of the doorknob shown?
1.5
3
6
15
Answer:
6
Step-by-step explanation:
The relationship between the monthly fee for Brandon’s phone and the price per minute for long distance is modeled by the linear function f (x) = 0.05x + 3, where x is the number of minutes used for long distance. What is the total bill if Brandon used 20 minutes of his long distance service in a month?
the linear function f (x) = 0.05x + 3,
f(x) is the monthly fee and x is the price per minute
Brandon used 20 minutes of his long distance
So x is 20 minutes
We plug in 20 for x
f(x) = 0.05x + 3
f(20) = 0.05(20) + 3 = 4
So total bill is $4 if Brandon used 20 minutes of his long distance service in a month
point m lies between point L and N on LN
Answer:
64 units
Step-by-step explanation:
Segment addition holds, so we can write ...
LM + MN = LN
(10x +8) +(5x-4) = (12x +16)
15x + 4 = 12x + 16 . . . . . . . . collect terms
3x -12 = 0 . . . . . . . . . . . . . . subtract 12x+16
x-4 = 0 . . . . . . . . . . . . . . . . . divide by 3
x = 4 . . . . . . . add 4
LN = 12x +16 = 12·4 +16 = 48 +16 . . . . . substitute into the expression for LN
LN = 64 . . . . units
When rounding to.the nearest hundred are you to add or subtract?
Answer:
When you round to the nearest hundred:
150 or higher turns into 200, so you'd do add.
But when it's 149 or lower, you simply subtract it by 49.
Step-by-step explanation:
1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1
What do you call it when someone pays back a loan quickly
The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residual of 1? 0.5 3.5 4.0 7.5
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
[tex]y=2x+1.5[/tex]
If the point (1,4) is in the data set.
we need to find the residual of 1.
At x = 1,
[tex]y=2x+1.5\\\\y=2\times 1+1.5\\\\y=2+1.5\\\\y=3.5[/tex]
So, At x = 1, the value of y = 3.5
As we know that
[tex]Residual\ value=Estimate\ value-Actual\ value\\\\Residual\ value=4-3.5\\\\Residual\ value=0.5[/tex]
Hence, The residual of 1 is 0.5.
Thus, First option is correct.
Prove and show your work
cos t (sect -cos t)= sin^2 t
sin 0 cot 0= cos 0
Given the three vertices F(-5, 0), G(3, -3), and H(-2, 8), what are the coordinates of I that make quadrilateral FGIH a square
What is the difference for this question?
Which number is irrational? A. square root of 64 B. square root of 256 C. square root of 100 D. square root of 80
Anyone know the answer?
Check out the Points Scored by Lebron James during his 2012 season: 10,11.15, 18, 20, 20, 21,23, 24, 24, 26
A sport Statistics Magazine said his Median Score was 21 is that True or False?
A. True
B. False
Ginger wanna join a gym.she goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthly fee of $30.if she belongs to the gym for one year then the 12th month is free.how much will a one year membership cost her?
The width of a rectangle is 4 less than half the length. if l represents the length, which equation could be used to find the width, w?
what is the largest possible product of two odd integers whose sum is 42?
The largest possible product of two odd integers whose sum is 42 is 437, obtained from multiplying 19 by 23.
The question asks for the largest possible product of two odd integers whose sum is 42. To find this, we should split 42 into two odd numbers that are as close to each other as possible because the product of two numbers that are close together will be higher than the product of a pair that has a larger difference.
If we divide 42 by 2, we get 21, which is not an even integer, so we need to adjust the numbers by 1. So the two odd numbers closest to each half of 42 are 21 and 21. However, we can't have them both be the same number since we're looking for two integers, so we adjust one up and one down by 1, resulting in 20 and 22. To ensure both numbers are odd, we will subtract 1 from the first number and add 1 to the second number, giving us 19 and 23 as the two odd integers that sum to 42.
The product of 19 and 23 is 19 × 23 = 437, which is the largest possible product for two odd integers that add up to 42.
Park rangers released 12 fish into a pond in year 0. Each year, there were twice as many fish as the year before. How many fish were there after x years? Write a function to represent this scenario.
Answer: The function would be,
[tex]f(x)=12(2)^x[/tex]
Step-by-step explanation:
Given,
Park rangers released 12 fish into a pond in year 0,
Thus, the initial number of fish = 12,
Also, there were twice as many fish as the year before,
⇒ After 1 year the number of fishes = 2(12) = 12(2),
Similarly,
After 2 years = 2(12(2))= 12(2)²,
After 3 years = 2(12(2)²) = 12(2)³,
................, so on,....
Thus, the number of fishes after x years would be,
[tex]12(2)^x[/tex]
Let f(x) represents the number of fish after x years,
[tex]\implies f(x) = 12(2)^x[/tex]
Which is the required function that the given scenario.
The height of a triangular road sign is 1 inch shorter than twice its base. if the area of the sign is 60 in.2, which equation could be used to find the base (b) of the sign?
The equation that can be used to find the base of the triangular road sign is 60 = (b * (2b - 1)) / 2.
Explanation:Let's assume that the base of the triangular road sign is represented by b. According to the problem, the height of the sign is 1 inch shorter than twice its base, which can be written as:
height = 2b - 1
The area of a triangle can be calculated using the formula Area = (base * height) / 2. Substituting the given values into the formula, we get:
60 = (b * (2b - 1)) / 2
This equation can be used to find the base, b, of the sign.
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All at once, pandemonium broke loose. ______________ the marching band came around the corner, dogs began barking, and the horses pulling the mayor's carriage began to run!
Which word best completes the passage above? (5 points)
Anyway
Because
Following
Simultaneously
Answer:
The answer is word SIMULTANEOUSLY.
Step-by-step explanation:
The alternative that fits best is " d.Simultaneously"
All at once, pandemonium broke loose. Simultaneously, the marching band came around the corner, dogs began barking, the horses pulling the Mayors carriage began to run.
This word maintains the coherence and cohesion of the given text.
Answer:
The alternative that fits best is " d. Simultaneously"
Step-by-step explanation:
Thus, the complete sentence would read: "All at once, pandemonium broke loose. Simultaneously the marching band came around the corner, dogs began barking, and the horses pulling the mayor's carriage began to run!"
The explanation for this is that the word "Simultaneously" is the only one that fits the phrase, and maintains the coherence and cohesion of the text. The words "anyway", "because", and "following", when embedded in the phrase, change the meaning of what the author wanted to go through.
What is the recursive formula for the sequence 3, 12, 48, 192, 768...?
The given sequence is a geometric sequence. Each term in the sequence multiplies by 4 to obtain the next. Therefore, the recursive formula for the sequence is an = 4 * an-1.
Explanation:The given sequence is: 3, 12, 48, 192, 768, and so on. Looking at the sequence, we can see that each term is multiplied by 4 to get the next term. So, the sequence is a geometric sequence. The recursive formula for a geometric sequence is given by: an = r * an-1, where an is the nth term, r is the common ratio, and an-1 is the previous term. In this case, r equals 4 (since we are multiplying each term by 4 to get the next term). Thus, "the recursive formula for this geometric sequence is: an = 4 * an-1".
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Seven subtracted from the quotient of a number and 2 is -6
18 / n - 7 = 2
18 / n =9
18 = 9n
2 = n
18 / 2 - 7 = 2
9 - 7 = 2
2 = 2