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
nevsk [136]
3 years ago
8

X varies directly as y, and x = 153 when y = 9. Find x when y = 13.

Mathematics
1 answer:
goblinko [34]3 years ago
6 0
X = 153 = 17* 9, so when <span>y = 13, x= 21*13= 273

x= 17  18   19  20  21 
y=    9  10   11  12  13</span>
You might be interested in
The number of newly reported crime cases in a county in New York State is shown in
JulsSmile [24]

Answer:

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

8 0
3 years ago
Write the following numbers in decreasing order: −4; 1 2 3 ; 0.5; −1 3 4 ; 0.03; −1; 1; 0; −10; 54
Verdich [7]

Answer:

123 ; 54 ; 1 ; 0.5 ; 0.03 ; 0 ; -1 ; -4 ; -10 ; -134

Step-by-step explanation:

123 ; 54 ; 1 ; 0.5 ; 0.03 ; 0 ; -1 ; -4 ; -10 ; -134

4 0
3 years ago
Find the area under one arch of a cycloid described by the parametric equations x = 3(20 - sin 20) and y = 3( I - cos 20). Use 0
Pavel [41]
The parametric equations seem to describe a circle of radius 3. Its area will be
  A = πr² = π·3²

The appropriate choice seems to be
  D. 9π

6 0
3 years ago
Can a polygon be a pentagon yes or no please answer!
Naddika [18.5K]
A polygon is plane<span> shape with <em><u>straight</u></em> sides. Therefore, a pentagon is a polygon!</span>
5 0
3 years ago
Read 2 more answers
A) Write an expression for the slope of the secant line through the points
Crazy boy [7]

Answer:

Step-by-step explanation:a/

slope m = [f(x)-f(3)]/(x-3)

b/

tangent y - f(3) = [lim m ,as x-->3](x-3)

7 0
3 years ago
Other questions:
  • Find the side of a square whose area equals a triangle with a area of 28 square inches
    12·1 answer
  • A pyramid shaped building is 873 ft tall with a square base that is 147 ft on each side. What is the volume of the​ pyramid?
    11·1 answer
  • With a ten dollar bill how much change do i get back if i buy four items, priced at 1.79, 2.99, 4.37 and 0.33
    11·1 answer
  • When six is subtracted from five times a number, the result is 9
    12·1 answer
  • On the map the distance from A to B is 3 inches. Find the actual distance if the scale is 1 inch is to 8 miles
    12·1 answer
  • Find the domain of the graphed function!
    11·1 answer
  • 2x + y = -4<br> x + 4y = 12<br> Solve both for y
    14·1 answer
  • 7). Tim has 9 chocolate chip cookies and 18 peanut butter cookies. He
    8·1 answer
  • The bag contains green yellow and orange marbles. The ratio of green marbles to yellow marbles is 2 to 5. The ratio of yellow ma
    6·1 answer
  • If f(x) = (3+x)/(x-3), what is f(a+2)​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!