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
Mars2501 [29]
3 years ago
6

If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0

Answer:

76

Step-by-step explanation:

GenaCL600 [577]3 years ago
6 0

Answer:

5x -12 = 3x +8 (set the two = each other because they are the same length)

2x- 12= 8 (subtract 3x from both sides)

2x = 20 (add 12 to both sides)

x=10 (what x= for both expressions)

5(10) -12 (plug it into the first one to see what the length is and to see they're =

50 - 12 ( I already multiplied, now subtract)

38 (what the length of TR is)

3(10) +8 (plug it in again but into the other expression)

30+8 (multiply and add)

38 (the two have the same answer, so the x-value is correct.)

38+38= 76 (add the lengths of RS and TR and you get the length of TS)

Step-by-step explanation:

I hope this helps :)

You might be interested in
a store is giving away $10 coupons to every 7th person to enter the store and a $25 coupon to every 18th person too emter the st
almond37 [142]
7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126
18,36,54,72,90,108,126 

So the first person to get both of them is the 126th person
3 0
3 years ago
A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
gregori [183]

a= μ-3.16*σ , b= μ+3.16*σ if each fish caught is equally likely to be any one of these 4 distinct types.

<h3>What is meant by Chebyshev inequality?</h3>

Chebyshev's inequality is a probability theory that ensures that, over a vast range of probability distributions, no more than a particular proportion of values would be present within a selected limits or range as from mean. In other words, only a certain fish caught will be discovered within a given range of the distribution's mean.

The formula for which no more than a particular number of values can exceed is 1/K2; in other words, 1/K2 of a distribution's values can be more than or equal to K standard deviations away from the distribution's mean. Furthermore, it asserts that 1-(1/K2) of a distribution's values must be within, but not include, K standard deviations of the distribution's mean.

How to solve?

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

In order to learn more about Chebyshev inequality, visit:

brainly.com/question/24971067

#SPJ4

4 0
1 year ago
I'm not quite sure what this means can you explain it for me?
Tems11 [23]

Answer:

Ask ur self what does measure means and what does center mean

6 0
3 years ago
Read 2 more answers
1-10 just the answer not a really big explanation please
goblinko [34]

Answer:

Step-by-step explanation:

1) Isosceles triangle

2) Right angled triangle

3) Scalene triangle

4) Equilateral triangle

5) Right angled triangle

6) Scalene triangle

7) Equilateral triangle

8) Scalene triangle

9) a) Equilateral triangle

9) b) Scalene triangle

9) c)  Isosceles triangle

9) d) Right angled triangle

Note: Right angled triangle - If one angle is right angle, then it is Right angled triangle

Isosceles triangle: If two angles or two sides are equal, then it is Isosceles triangle.

Scalene triangle: If all three sides or three angles have different measurement, then it is Scalene triangle.

Equilateral triangle: If all the three sides are equal or all the three angles are equal, then it is Equilateral triangle

7 0
3 years ago
Simplify the rational expression 6x-24/16-x^2
8_murik_8 [283]
The answer would be -x^2 + 6x  - 3/2
5 0
3 years ago
Read 2 more answers
Other questions:
  • The midpoint of a line is found by subtracting two coordinates and dividing the answer by two.
    11·1 answer
  • How do you multiply a fraction with a mixed number
    6·1 answer
  • I have 3 times as many nickels as quarters. How many quarters do I have if I have
    9·1 answer
  • a rectangular vegetable garden has a length of 6 1/8 feet squared if the length of the vegetable garden is 3 1/2 feet what is th
    13·1 answer
  • While standing on a highway overpass, Jennifer wonders what proportion of the vehicles that pass on the highway below are trucks
    5·1 answer
  • 1. Ashton rode his bicycle 3.25 miles in 12 minutes. What was Ashton's average rate in miles per hour
    14·1 answer
  • I need help solving this.<br> (6e−3f−4)⋅2=?
    7·2 answers
  • The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
    9·1 answer
  • If 5 bags weighs the same as 3 blocks how many blocks will 4 bags weigh
    5·2 answers
  • Find x pleaseee :) :)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!