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dolphi86 [110]
3 years ago
14

Twins Ben and Michael claim that they can communicate telepathically. To test the claim, a researcher plans to put the twins in

separate rooms. Five chips of different colors (red, blue, green, yellow, and white) will be placed in a bag. Ben will be blindfolded as he selects a chip at random from the bag. He will then look at the chip and attempt to communicate the color telepathically to his twin Michael, seated in the next room, who will record the color he believes the chip to be. This process will be repeated 50 times. Let p denote the probability that Michael correctly records the color of a chip. State hypotheses for a significance test, letting the alternative hypothesis reflect the possibility that Michael does better than he would by random guessing.
A. H0: p = 1/5Ha: p ≠ 1/5B. H0: p < 1/5Ha: p > 1/5C. H0: p > 1/5Ha: p = 1/5D. H0: p = 1/5Ha: p > 1/5
Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

D. H0: p = 1/5Ha: p > 1/5

Step-by-step explanation:

Since alternative is talking about the chances of doing better in one situation over another, then, the equation with the probability of doing better clearly shown by it being greater than the other situation is the right one.

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Whats the extreme value?y=3(x+5)^(2)-4
natta225 [31]

Answer:

-4

Step-by-step explanation:

  • y = 3(x+5)²-4
  • y= 3(x²+10x+25)-4
  • y= 3x²+30x+75-4
  • y= 3x²+30x+71

Derivate the function

  • y' = 6x+30

solve the equation y'= 0

  • y'= 6x+30
  • 6x+30= 0
  • 6x= -30
  • x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0
3 years ago
A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
AnnZ [28]

Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
3 0
2 years ago
Line m has the equation y = 1/2x - 4
Mandarinka [93]

Answer:

  • As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

y=mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

x-2y=4

solving for y to writing the equation in the slope-intercept form and determining the slope

x-2y=4

Add -x to both sides.

x - 2y + (-x) = 4+(-x)

-2y = 4 - x

Divide both sides by -2

\frac{-2y}{-2}=\frac{-x+4}{-2}

y=\frac{1}{2}x-2

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

  • As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

3 0
2 years ago
What are all the primes of 52
AleksandrR [38]
<span>52 can be broken down to the following 
2*26 =52
2*(2*13) <---13 x 2=26 x 2=52 
2*2*13 or 2^2*13 <--BOTH mean the same thing :)  </span><span>
</span>
6 0
3 years ago
Refer to the figure to complete the proportion A/C = Y/?
salantis [7]
Hello,
Please, see the attached file.
Thanks.

3 0
2 years ago
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