1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Angelina_Jolie [31]
3 years ago
14

Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship

. Which statement supports his claim?
xy = 1 for all points.
xy = for all points.
The graph of these points will be linear.
Inverse variation states that as one quantity increases, the other quantity also increases.
Mathematics
1 answer:
Kobotan [32]3 years ago
7 0
Xy = 1 for all points.

 We are going to demonstrate this affirmation:
 (2) * (0.5) = 1
 (1) * (1) = 1
 (0.5) * (2) = 1
 Therefore, the relationship between the ordered pairs is inverse.
 The relationship between the ordered pairs is:
 y = 1 / x

 Answer: 
 xy = 1 for all points.
You might be interested in
Graph these two equations.<br> y= 2x - 3<br> x + 2y = 4
Vladimir [108]
This graph is x+2y=4

4 0
3 years ago
Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
sp2606 [1]

Answer:

(A) The odds that the taxpayer will be audited is approximately 0.015.

(B) The odds against these taxpayer being audited is approximately 65.67.

Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

The proportion of U.S. taxpayers who were audited is:

P (A) = 0.015

Then the proportion of U.S. taxpayers who were not audited will be:

P (A') = 1 - P (A)

        = 1 - 0.015

        = 0.985

(A)

Compute the  odds that the taxpayer will be audited as follows:

\text{Odds of being Audited}=\frac{P(A)}{P(A')}

                                    =\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

\text{Odds against Audited}=\frac{P(A')}{P(A)}

                                    =\frac{0.985}{0.015}\\\\=\frac{3}{197}\\\\=65.666667\\\\\approx 65.67

Thus, the odds against these taxpayer being audited is approximately 65.67.

8 0
3 years ago
On Friday it was 32 degrees at 6am and the temperature rose 3 degrees per hour for several hours. How many hours did it take the
sertanlavr [38]
At 1 pm is was 53 degrees
It took 7 hours
4 0
2 years ago
Which of the following expressions is correctly written in scientific notation?
valentinak56 [21]

Answer: D is correctly written in scientific notation.

Step-by-step explanation:

The base has to be between 1 and 10.

A has a base of 16.4 which is greater than 9.

B is not even in scientific because the base it being raise to an exponent

C has 0.71 as base which is less that.

3 0
2 years ago
The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

4 0
3 years ago
Other questions:
  • Please answer this like I
    10·1 answer
  • What is the value of v
    9·1 answer
  • Use the substitution method to solve this system. y = x − 4 and -2x + y = − 7
    14·1 answer
  • A company wants to decrease their energy use by 16%.if their electric bill currently 2,2000 a month what will their be if they a
    13·1 answer
  • What is the slope of the line (9,1) and (-3,-7)
    12·2 answers
  • A flashlight is projecting a triangle onto a wall, as shown below.
    9·1 answer
  • Write the equation of the line that passes through the points (0,8) and (-1, –4).
    13·1 answer
  • Tan(x+y)=x. (2 3) , what is dy/dx
    5·2 answers
  • Find 7/12 of 36 <br><br> I want a good answer!!!
    8·1 answer
  • 18 students are going on a field trip and 10 students are staying at school. What is the ratio of the number of students who are
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!