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
kati45 [8]
3 years ago
11

The airplane reaches a height of 5000 meters after approximately 4.5 minutes.

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

Step-by-step explanation:

The answer is 110 minutes. Just did this on Khan Academy :)

You might be interested in
Which table shows a no change linear relationship?
anzhelika [568]
I need the picture. Or i can't see the pic
7 0
3 years ago
Part I - To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nico
IRINA_888 [86]

Answer:

(I) 99% confidence interval for the mean nicotine content of this brand of cigarette is [24.169 mg , 30.431 mg].

(II) No, since the value 28.4 does not fall in the 98% confidence interval.

Step-by-step explanation:

We are given that a new cigarette has recently been marketed.

The FDA tests on this cigarette gave a mean nicotine content of 27.3 milligrams and standard deviation of 2.8 milligrams for a sample of 9 cigarettes.

Firstly, the Pivotal quantity for 99% 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 nicotine content = 27.3 milligrams

            s = sample standard deviation = 2.8 milligrams

            n = sample of cigarettes = 9

            \mu = true mean nicotine content

<em>Here for constructing 99% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

<u>Part I</u> : So, 99% confidence interval for the population mean, \mu is ;

P(-3.355 < t_8 < 3.355) = 0.99  {As the critical value of t at 8 degree

                                      of freedom are -3.355 & 3.355 with P = 0.5%}  

P(-3.355 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 3.355) = 0.99

P( -3.355 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 3.355 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X-3.355 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+3.355 \times {\frac{s}{\sqrt{n} } } ) = 0.99

<u />

<u>99% confidence interval for</u> \mu = [ \bar X-3.355 \times {\frac{s}{\sqrt{n} } } , \bar X+3.355 \times {\frac{s}{\sqrt{n} } } ]

                                          = [ 27.3-3.355 \times {\frac{2.8}{\sqrt{9} } } , 27.3+3.355 \times {\frac{2.8}{\sqrt{9} } } ]

                                          = [27.3 \pm 3.131]

                                          = [24.169 mg , 30.431 mg]

Therefore, 99% confidence interval for the mean nicotine content of this brand of cigarette is [24.169 mg , 30.431 mg].

<u>Part II</u> : We are given that the FDA tests on this cigarette gave a mean nicotine content of 24.9 milligrams and standard deviation of 2.6 milligrams for a sample of n = 9 cigarettes.

The FDA claims that the mean nicotine content exceeds 28.4 milligrams for this brand of cigarette, and their stated reliability is 98%.

The Pivotal quantity for 98% 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 nicotine content = 24.9 milligrams

            s = sample standard deviation = 2.6 milligrams

            n = sample of cigarettes = 9

            \mu = true mean nicotine content

<em>Here for constructing 98% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

So, 98% confidence interval for the population mean, \mu is ;

P(-2.896 < t_8 < 2.896) = 0.98  {As the critical value of t at 8 degree

                                       of freedom are -2.896 & 2.896 with P = 1%}  

P(-2.896 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.896) = 0.98

P( -2.896 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.896 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.896 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.896 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u />

<u>98% confidence interval for</u> \mu = [ \bar X-2.896 \times {\frac{s}{\sqrt{n} } } , \bar X+2.896 \times {\frac{s}{\sqrt{n} } } ]

                                          = [ 24.9-2.896 \times {\frac{2.6}{\sqrt{9} } } , 24.9+2.896 \times {\frac{2.6}{\sqrt{9} } } ]

                                          = [22.4 mg , 27.4 mg]

Therefore, 98% confidence interval for the mean nicotine content of this brand of cigarette is [22.4 mg , 27.4 mg].

No, we don't agree on the claim of FDA that the mean nicotine content exceeds 28.4 milligrams for this brand of cigarette because as we can see in the above confidence interval that the value 28.4 does not fall in the 98% confidence interval.

5 0
3 years ago
HELP MY FRIENDS PLEASE I BEG OF THEE​
Over [174]
<h2>Answer:</h2>

<u><em>The answer has to be 30. </em></u>

<h2>Step-by-step explanation:</h2>

<em>Correct me if I am incorrect but I would believe I am correct. Have a good one!</em>

<h2>✍(◔◡◔)</h2>
7 0
3 years ago
Idk what the properties are I need help
slega [8]
Associative,commutative and distributive
3 0
3 years ago
Find two equivalent ratios for 3:4 using multiplication<br><br> A. 6:8<br> B.9:12<br> C. 6:12
Alchen [17]

Answer:

A and B

Step-by-step explanation:

3:4 multiplied by 2 is 6:8

3x2=6 4x2=8

3:4 multiplied by 3 is 9:12

3x3=9 4x3=12

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write the numbers from least to greatest. 0.66 -1/3 -5/12
    5·2 answers
  • How do you solve for a and b?
    5·2 answers
  • The force of gravity is otherwise known as<br> volume<br> speed<br> weight<br> mass
    9·2 answers
  • The price of jeans was reduced $7 per week for 4 weeks. By how much did the price of the jeans change
    5·1 answer
  • A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
    13·1 answer
  • An eight-sided die is rolled and a coin is tossed. What is the probability of landing on an even number and getting heads?
    10·1 answer
  • 1) Fidel had 12 boxes of paper plates. Each box contains 36 paper plates. He used 173 paper plates for the birthday party of his
    14·1 answer
  • Use the point and the slope to graph each line. Write the equation of the line. The line contains point (2, –2) and is perpendic
    11·2 answers
  • Can anyone help me with this question?
    5·1 answer
  • Fill in the blanks. <br><br> sedrftgyuhihkgfndt7y
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!