1) The equation is:
y = -29/x
And when we evaluate in x = 2, we get y = -14.5
2) The equation is:
y = 88/x
And when we evaluate in x = 2, we get y = 44
How to find the equation between x and y?We know that the variables x and y vary inversely, then the equation between these variables will be something like:
y = k/x
Where k is a constant.
1) First we know that when x = -1, y = 29, replacing these values we will get:
29 = k/-1
-1*29 = k
-29 = k
Then the equation is:
y = -29/x
If now we evaluate in x = 2, we will get:
y = -29/2
y = -14.5
2) Now we know that x = 8 and y = 11, replacing these we get:
11 = k/8
11*8 = k
88 = k
So the equation is:
y = 88/x
If now we replace x by 2, we will get:
y = 88/2 = 44
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What percentage of the data values are greater than 45?
Answer:
50%
Step-by-step explanation:
45 is the median of this box plot and, theoretically, 50% of the data resides between the minimum and the median and 50% resides between the median and the maximum
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?
Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.
cos θ = Opposite side / Adjacent side
cos θ = 14 / 22
cos θ = 0.6363
θ = cos^-1 (0.6363)
θ ≈ 45.9°
(HELP ASAP!)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
In baseball, each time a player attempts to hit the ball, it is recorded.
The ratio of hits compared to total attempts is their batting average.
Each player on the team wants to have the highest batting average to help their team the most.
For the season so far,
Jana has hit the ball 7 times out of 10 attempts.
Tasha has hit the ball 10 times out of 16 attempts.
To find the ratio of batting average:
We must find the same number of attempts.
So,
Jana has ratio 7/10.
So, 56 /80 = 0.7
Tasha has ratio 10/16.
So, 50 / 80 = 0.625
Therefore, Jana has the highest batting average.
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what does doing mathematics means
Answer:
Doing math means generating strategies for solving problems, applying those approaches, seeing if they lead to solutions, and checking to see if your answers make sense
As part of your retirement planning, you purchase an annuity that pays 4 % annual interest compounded quarterly
If you make quarterly payments of $600 how much will you have saved in 5
years?
instead, if you make quarterly payments of $300, how much will you have saved in 10 years
Answer:
This Might Be Helpful To You
Step-by-step explanation:
It is a good idea to try to save up money to buy large items or find 0% interest deals so
you are not paying interest. However, this is not always possible, especially when buying
a house or car. That is when it is important to understand how much interest you will be
charged on your loan.
someone please help
what does x equal????????????????//
Answer:
i don't know what does x equal?
its x=1/6
Step-by-step explanation:
do you need the step by step? i don't know, I'm gonna give it to you anyways.
x+2/3 =5/6
x+2/3-2/3 =5/6 - 2/3
then just subract the number and bam!
x=1/6
Step-by-step explanation:
We have ,
> 3/4= x/20
> x = 3/4 × 20
> x = 15
Solution 2 :-
> x + 2 / 3 = 5/6
> x + 2 = 5/6 × 3
> x + 2 = 5/2 = 2.5
> x = 2.5 - 2
> x = 0.5
use the order of operations to evaluate the expression 4×(3/4 - 1/2) +3×6
Answer:
19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4 × (3/4 - 1/2) + 3 × 6
Step 2: Evaluate
(Parenthesis) Subtract: 4 × 1/4 + 3 × 6Multiply: 1 + 3 × 6Multiply: 1 + 18Add: 19(PLEASE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT NO LINKS PLEASE)
Answer:
1. Mary's mother gave her ten dollars to spend at the Market. Mary then spends two and a half dollars on her favorite candy. Mary wants to know how much money she has left.
2. x represents the amount of money Mary has remaining.
3. x + 2 1/2 = 10
(sub tract 2 1/2 from each side)
x = 7 1/2
Step-by-step explanation:
Directions: Convert the following as indicated. Round to the
nearest 10th
20.8 kg = lb
A) 30.1
B) 35.7
C) 40.2
D) 45.8
Answer:
20.8 Kg is equal to 45.86 lbs
Step-by-step explanation:
As we know
1 kilo grams (Kg) is equal to 2.20462 pounds (lbs)
Given weight = 20.8 kg
On converting 20.8 kg in pounds (lbs), we get -
[tex]= 20.8 * 2.20462\\= 45.856[/tex]lbs
Rounding off to the nearest 10ths, we get -
20.8 Kg is equal to 45.86 lbs
1+2^2 for brainliest + 40 points
Answer:
5
Step-by-step explanation:
u do 2x2 cuz of the square root and add the 1
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Both of you are correct because using either way can solve the equation for the value of x.
How to solve for x ?In the case of solving for x in 2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.
Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :
Multiplying :
2/5 x = 14
5 / 2 x 2 / 5 x = 14 x 5 / 2
x = 35
Dividing :
2/5 x = 14
2 / 5 x / 2 / 5 = 14 / 2 / 5
x = 35
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Please help
need help
Answer:
The answer is B
Step-by-step explanation:
I'm not 100% sure but since its translated 3 units left it should be y=f(x-3)
Answer:
a. y = f(x+3)
Step-by-step explanation:
Replacing x in a function with x-h moves the graph h units to the right. Here, the graph is moved 3 units to the left, so the value of h must be -3.
f(x -(-3)) = f(x+3)
The red graph is described by ...
y = f(x+3)
One third of the students at max middle school play a musical instrument. If 152 students play an instrument. How many students are at the school
Answer:
456 students attend Max Middle School.
Step-by-step explanation:
In this problem, it states 152 students play an instrument. It then says, 1/3 of the students play an instrument within the school. So, what you need to do to find the total number of students is multiply 152 times 3.
152·3=456
As a result, here is your product or your answer.
In a recent sample of 84 used car sales costs, the sample mean was $6,425 with a standard deviation of $3,156. Assume the underlying distribution is approximately normal.a. Which distribution should you use for this problem
Answer:
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample mean was $6,425 with a standard deviation of $3,156
This means that [tex]\mu = 6425, \sigma = 3156[/tex]
Sample of 84:
This means that [tex]n = 84, s = \frac{3156}{\sqrt{84}} = 344.35[/tex]
a. Which distribution should you use for this problem?
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
4 to the power of 3 space end exponent minus space 60 space divided by space 15 space plus space 6 space cross times space 2 space
Answer: 4/27 or 0.148148
First you solve for any grouping symbols ( absolute value, parentheses, brackets, etc.) Since there aren’t any you move on to exponents, 4^3 is the same as 4*4*4 which equals 64. Next you do multiplication 6*2 is 12 so our problem is currently
64-60 over 15+12. Next you simplify, which make the problem 4/27. You can divide which makes your problem 0.148148 but most of the times you keep it as a fraction.
Solve quadratic equation by square roots method 2x^2-18=0
Answer:
x = 3 and x = -3 (aka. x = ±3)
Step-by-step explanation:
2x² - 18 = 0
x² - 9 = 0
x² = 9
x = ±3
Therefore, x = 3 and x = -3
Find the area. The figure is not drawn to scale.
Answer:
19.17cm^2
Step-by-step explanation:
The area for a parallelogram is found by multiplying the base by the height, the base is 2.7cm and the height is 7.1cm, multiply to get the answer of 19.17cm^2
Hope this helps!
Which pair of ratios is proportional?
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation:
The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Here,
A) 6/21 and 2/42
2/7 and 1/21
So, the given ratios are not in proportion.
B. 25/100 and 50/150
1/4 and 1/3
So, the given ratios are not in proportion.
C. 18/24 and 6/12
3/4 and 1/2
So, the given ratios are not in proportion.
D. 7/14 and 20/40
1/2 and 1/2
The given ratios are in proportion.
Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which pair of ratios is proportional?
A. 6/21 and 2/42
B. 25/100 and 50/150
C. 18/24 and 6/12
D. 7/14 and 20/40
Mark bought five packs of markers for $12.25. What is the cost of a pack of markers, in dollars, if all the packs cost the same?
Answer:
The cost of a single pack would be $2.45.
Step-by-step explanation:
If a 5 pack costs 12.25 then to find the cost of 1 packet we need to divide.
We would divide by 5.
$12.25/5=$2.45
In a sample of 178 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 51 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the university do not share this belief
Answer:
No it does not suggest that a majority of students at the university do not share this belief
Step-by-step explanation:
No it does not suggest that a majority of students at the university do not share this belief
It is so because we do not know what is the population of university students and how much 178 people relate to the actual population of the university.
Also, the sub set of 178 of the total university population do not represents the entire university population.
convert 614 into base five number system.
Answer:
4424
Step-by-step explanation:
the number 614 is in the base ten system that we use every day. the base five system represents each digit in the number represents the number of copies of that power of 5.
check out:
rapidtables.com/convert/number/base-converter.html
The parabola y = x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3. What is the equation of the new parabola?
Answer:
Y=-x^2+4/3 (not really sure though)
Given the following.
U = {1,2,3,4,5,6,7,8,9,10,11}
A = {3,4,6,7,11}
B = {4,5,6,8}.
Find (A U B)' U B.
Answer:
I guess you don't get the numbers which are not in the A and B
like 1,2,9,10
The requried set of (A U B)' U B is given as (A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
here,
U = {1,2,3,4,5,6,7,8,9,10,11}
A = {3,4,6,7,11}
B = {4,5,6,8}.
A U B = {3, 4, 5, 6,7, 8, 11}
(A U B)' = {1, 2, 9, 10}
(A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}
Thus, the requried set of (A U B)' U B is given as (A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}.
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Hi everyone! I got another problem I need help on over probability. No links or you will be reported!!!
Please help me solve this. Where I'm going wrong and an explanation would be very helpful as well.
problem: The data in the following table shows the outcomes of guilty and not-gulity pleas in 1055 criminal court cases.
Sent to prison:
Guilty plea: 399
Not-gulity plea: 59
Not sent to prison:
Guilty plea: 567
Not-gulity plea: 29
A. What is the probability that a randomly selected defendant either pled guilty or was not sent to prison? (round to three decimal places as needed.)
Answer:
0.944
Step-by-step explanation:
First of all, are you sure the datas are alright? We have a count of 1054 defendants while adding up all these numbers.
Assuming the datas are true, out of the 1054 defendants:
- 399 are sent to prison and guilty
- 567+29 = 596 aren't sent to prison.
Since we are looking for the probability that a randomly selected defendant either pled guilty or was not sent in prison, it means we have
[tex] \frac{399+596}{1054} = \frac{995}{1054} = 0.944[/tex]
(rounded to three decimal places).
Which event is LEAST LIKELY to occur?
A. Event A
B. Event B
C. Event C
D. Event D
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
HEYYYY Please solve the following problem in the photo blow, also please show your work
Answer:
35.4ft
Step-by-step explanation:
Express (x-12)^2(x−12)
2
as a trinomial in standard form.
The trinomial (x - 12)² in standard form is x² - 24x + 144
How to evaluate the trinomial in standard formFrom the question, we have the following parameters that can be used in our computation:
(x-12)^2
Express properly
So, we have the following representation
(x - 12)²
Expand the expression
This gives
(x - 12)² = (x - 12) * (x - 12)
Open the brackets
This gives
(x - 12)² = x² - 12x - 12x + 144
Evaluate the like terms
(x - 12)² = x² - 24x + 144
Hence, the trinomial is x² - 24x + 144
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9. A vendor is going to pack okra in bundles. What is the least number of okra that could be sold
in bundles of 3 and 5?
A. 10 bundles
B. 12 bundles C. 15 bundles D. 18 bundles
Answer:
C. 15 bundles
Step-by-step explanation:
In this scenario, the okra seller intends selling his products in bundles of 3 and 5. This simply means that each bundle would either contain 3 okra or 5 okra.
Hence, to find the least number of okra that could be sold in these bundles, we would find the lowest common multiple (LCM) of 3 and 5.
LCM = 3 * 5
LCM = 15
Therefore, 15 is least number that okra can be packed in bundles of 3 and 5 because it's the lowest number that could be divided by both numbers at a time.
Rahul and his children went into a restaurant that sells hamburgers for $8 each and tacos for $4 each. Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and
tacos for $4 each.
Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.
Let x represents the number of hamburgers purchased and y represents the number of tacos purchased,
x+y≥11...(1)
8x+4y=80..(2)
8(11-y)+4y=80
88-8y+4y=80
88-4y=80
8=4y
y≥2
Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.
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