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
Marysya12 [62]
3 years ago
7

Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or

a relative maximum?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer: f(2) is a relative minimum

This is because f(2) is the lowest y output for any given y = f(x) output on the interval 0 <  x < 3 which is what the interval notation (0,3) indicates.

Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood 0 < x < 3.

You might be interested in
A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.03 is tested at the null hypothesis:

This means that \mu = 0.03, \sigma = \sqrt{0.03*0.97}

28 out of 600 items produced by the machine were found defective.

This means that n = 600, X = \frac{28}{600} = 0.0467

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}

z = 2.4

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0
2 years ago
PLEASE ANSWER THIS ASAP !!!!
8_murik_8 [283]
Add or subtract like terms
2x+3y=5x-y
7x=2y
since you can’t divide or add any more like terms together there isn’t anything else to solve
answer ~ 7x=2y
7 0
3 years ago
Read 2 more answers
Find the slope-intercept form of the equation of the line passing through the given points. (1, 1), (7, − 1 4 )
Serga [27]
Slope = (-14-1)/(7-1) = -15/6 

y = mx + c
y = -15/6 x + c
at (1,1)
1 =-15/6(1) + c
c = 1 + 15/6 = 21/6

y = -15/6 x + 21/6 or
6y = -15x + 21 

6 0
3 years ago
HELP ME PLZ LOOK AT PIC. AND FOR YOU PEOPLE WHO REPORT ME U SUCK
olga nikolaevna [1]

Answer: i think its a i think so dont report me if im wrong

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Need helppppp asapppp
Ymorist [56]

The answer is C. 65........

4 0
3 years ago
Read 2 more answers
Other questions:
  • Helpp me please. What is the volume of the square pyramid? Round to the nearest tenth.
    11·2 answers
  • Write 7x-2-7x+6 in simplest form.
    10·1 answer
  • Sam and Annika ride their bike to school. Sam rides his bike (k) kilometers. Annika rides her bike 2 less than 4 times as many k
    14·1 answer
  • Do the ratios 30/24 and 20/16 form a proportion?
    9·1 answer
  • I have Ten plus x over two
    14·1 answer
  • Answer dis in a big hurry and will give brainliest!!!
    12·1 answer
  • PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST!! +25 POINTS
    7·1 answer
  • Are these two ratios proportional?<br><br> 2/5 and 3/4<br><br> Yes or no?
    13·1 answer
  • Which of the following is an irrational number?<br> OA) - 16<br> OB) 0.4<br> OC) 74<br> OD) 16
    13·1 answer
  • Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn fr
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!