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
liq [111]
3 years ago
6

The question is in the figure below.

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
If a ║ b then m<3 + m<6 = 180 (same-sided interior angles)
so
2x + 15 + 3x + 10 = 180
5x + 25 = 180
5x = 155
  x = 31

Answer
x = 31 makes a ║ b

You might be interested in
In 1998, as an advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that every 18-ounce bag of
Phoenix [80]

Answer:

A 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

Step-by-step explanation:

We are given that statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies and counted the chocolate chips.

Some of their data are given below; 1219, 1214, 1087, 1200, 1419, 1121, 1325, 1345, 1244, 1258, 1356, 1132, 1191, 1270, 1295, 1135.

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 number of chocolate chips = \frac{\sum X}{n} = 1238.2

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 94.3

            n = sample of car drivers = 16

            \mu = population mean number of chips in a bag

<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(-2.131 < t_1_5 < 2.131) = 0.95  {As the critical value of t at 15 degrees of

                                             freedom are -2.131 & 2.131 with P = 2.5%}  

P(-2.131 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.131) = 0.95

P( -2.131 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.131 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-2.131 \times {\frac{s}{\sqrt{n} } } , \bar X+2.131 \times {\frac{s}{\sqrt{n} } } ]

                                   = [ 1238.2-2.131 \times {\frac{94.3}{\sqrt{16} } } , 1238.2+2.131 \times {\frac{94.3}{\sqrt{16} } } ]

                                   = [1187.96, 1288.44]

Therefore, a 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

7 0
3 years ago
Please Help!!<br> Solve x2 = 121.<br> A. 60.5<br> B. −11<br> C. 11<br> D. ±11
torisob [31]
D is the right answer
8 0
3 years ago
Read 2 more answers
Somebody help me plz!! It’s due tomorrow
Ilia_Sergeevich [38]
I think it is 50, the first one, you will count 6, on each link 4 more is added so when adding 11 more links it would be 44+6 which is 50
6 0
2 years ago
cassandra is trying to think of a good way to keep her financial records. She makes a lot of purchases, using cash, debit cards,
nikdorinn [45]
I think its between b and c
6 0
3 years ago
Read 2 more answers
Find the domain of the function
aev [14]
Domain are those values of x for which function is defined. f(x) is not defined at x = 3. Therefore Domain is

x∈ (⁻∞, +∞) - {3}
8 0
3 years ago
Other questions:
  • Out of a random sample of 330 apples, 25 are rated “AAA.” Estimate the number of apples that would be rated “AAA” in a crop of 5
    14·2 answers
  • Which rectangle is similar rstu
    13·2 answers
  • For  each recipe write a ratio that compares the number of parts of apple cider to the total of parts recipes are rebeccas recip
    11·1 answer
  • A-69<br> B-111<br> C-180<br> D-21
    10·1 answer
  • Which of the following is NOT true
    11·1 answer
  • Can someone please help me on this question
    6·1 answer
  • Express 3/8 in 30 seconds
    12·1 answer
  • Stephen has a bag of candy that he is dividing up between 4 friends. If Stephen and his friends each got at least 30 pieces of c
    15·1 answer
  • Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
    15·1 answer
  • For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!