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
Rudik [331]
2 years ago
5

A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

What are the coordinates of the new center? Explain.​
The points are (1, 9) and (9, 3)
Mathematics
1 answer:
Natasha2012 [34]2 years ago
7 0

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

You might be interested in
A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Eduardwww [97]

Answer:

(A)  H_0 : μ = 22 ; H_A : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, H_0 : \mu = 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, H_A : \mu \neq 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

             T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounces

            n = sample of bottles = 65

(B) So, <u>test statistics</u> =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }

                                  = -2.69

Hence, the value of test statistics is -2.69.

6 0
3 years ago
Which expression is equivalent to √148<br><br> A. 12<br><br> B. 12√4<br><br> C. 14<br><br> D, 2√37
Jobisdone [24]

Answer:

D

Step-by-step explanation:

You put square roots of 148 in the calculator than it will give you the answer

5 0
3 years ago
Read 2 more answers
Can someone please help me with 9 and 10!!! Thank you so much!!!
Dmitrij [34]
9 Is −4x3 and 10 is −5a2
5 0
2 years ago
What’s the compound inequality for this??
MariettaO [177]

Answer:

-2 < x<4

Step-by-step explanation:

We have open circles and -2 and 4 so we don't include those numbers

The line is in between so the x is in between

-2 < x<4

3 0
3 years ago
For dessert you get to choose between 3 types of pie, 2 types of ice cream, and 3 drinks. How many pie, ice cream, and drink com
sladkih [1.3K]
You simply multiply all the options
3x2x3= 18 possibilities
4 0
3 years ago
Read 2 more answers
Other questions:
  • 4) How many km in<br> 58,795cm?<br><br><br> Please help thanks!!
    8·1 answer
  • Midpoint of the segment with endpoints A(-5, -2) and B(-7, 6).
    7·2 answers
  • Can somebody please help me out ??
    9·1 answer
  • I’m not sure how to solve this. Please show how you solve this problem, thank you.
    11·1 answer
  • The fictitious state of Aribraska has a graduated state income tax.
    7·2 answers
  • Does √(x) + √(x) = √(2x)?<br><br><br>If not please explain.
    8·1 answer
  • HELP ME Please i beg you can you help me!!!!
    13·1 answer
  • Find the missing fraction worksheet 5 1/2 + ? = 7
    8·1 answer
  • Please answer i will brainliest:D
    12·2 answers
  • Helppp quick enough points
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!