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
Yanka [14]
3 years ago
8

Mid segments in triangle practice

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0
12x+8 = 2(5x+6)
12x+8 = 10x+12
12x-10x = 12-8
2x = 4
x = 2

then DE = 5x+6 = 5(2)+6 = 16
You might be interested in
A random sample of 10 parking meters in a resort community showed the following incomes for a day. Assume the incomes are normal
GenaCL600 [577]

Answer:

A 95% confidence interval for the true mean is [$3.39, $6.01].

Step-by-step explanation:

We are given that a random sample of 10 parking meters in a resort community showed the following incomes for a day;

Incomes (X): $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                         P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean income = \frac{\sum X}{n} = $4.70

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = $1.83

            n = sample of parking meters = 10

            \mu = population mean

<em>Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.262 < t_9 < 2.262) = 0.95  {As the critical value of t at 9 degrees of

                                            freedom are -2.262 & 2.262 with P = 2.5%}  

P(-2.262 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.262) = 0.95

P( -2.262 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu < 2.262 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.262 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.262 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-2.262 \times {\frac{s}{\sqrt{n} } } , \bar X+2.262 \times {\frac{s}{\sqrt{n} } } ]

                                         = [ 4.70-2.262 \times {\frac{1.83}{\sqrt{10} } } , 4.70+ 2.262 \times {\frac{1.83}{\sqrt{10} } } ]

                                         = [$3.39, $6.01]

Therefore, a 95% confidence interval for the true mean is [$3.39, $6.01].

The interpretation of the above result is that we are 95% confident that the true mean will lie between incomes of $3.39 and $6.01.

Also, the margin of error  =  2.262 \times {\frac{s}{\sqrt{n} } }

                                          =  2.262 \times {\frac{1.83}{\sqrt{10} } }  = <u>1.31</u>

4 0
3 years ago
Graph the inequality below on a number line x&gt;-9
goldfiish [28.3K]
For this case we have the following inequality:
 x> -9
 The solution set of this inequality is given by:
 (-9, inf)
 Therefore, all the points within the given interval must belong to the graph of the inequality.
 Note: see attached image.
 Answer:
 
(-9, inf)
 
See attached image.

6 0
3 years ago
:).....................;(
BartSMP [9]
Why now :cccccccccccccccccc
5 0
3 years ago
Read 2 more answers
Hello! -will give brainiest to the correct answer- (just for fun)<br> Subtract h + 3 ​​from​ 6h + 1.
katrin [286]

Answer:

5h-2

Step-by-step explanation:

It is the correct answer

5 0
3 years ago
100 to 150 what is this answer
melisa1 [442]

Answer:

50

Step-by-step explanation:

150-100 = 50

5 0
2 years ago
Other questions:
  • Least common factor of 9/24
    14·1 answer
  • Segment EA is an altitude of triangle DEF. Find the area of the triangle.
    6·1 answer
  • cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?
    9·1 answer
  • Find 0.01 more than 9.154
    13·1 answer
  • Tino's Pizza charges $9 for a cheese pizza.Eileen has 45$ to buy pizza for the Spanish club.Write and solve an inequality to fin
    10·1 answer
  • Graph the system of equations.<br> 2x - y=4<br> 1 x - y = -2
    15·1 answer
  • Semeet uses 0.4 gallon of gasoline each hour moving lawns. how much gas does she use in 4.2 hours
    15·2 answers
  • Simplify the expression (a^2b^5c^3)^4(a^3b^3)^3(a^2c)^2
    13·2 answers
  • The values of x and y vary directly write an equation that relates x and y x = 0.1 y = 0.9
    12·1 answer
  • List 5 fractions that are between 1/3 and 4/5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!