teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution

Answers

Answer 1
Answer:

Answer:

1.5

Step-by-step explanation:

The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.

Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:

M = Sum (xi) * P (xi)

We replace:

M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07

M = 1.5

Therefore, the mean of the given table is 1.5


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Figure ABCD is a parallelogram with point C (−4, 1). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Answers

There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:

R(90 deg) : (X,Y) ---> (-Y,X)

Using the given coordinates:
R(90 deg) : (-4,1) ---> (-1,-4)

Therefore, Point C' will be located at (-1,-4)

Answer:

(1,4)

Step-by-step explanation:

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HELP ASAP THIS IS DUE IN 5!!!!Find the slope of the line.

O -2/5
O 2/5
O 5/2
None of the above

Answers

Answer:

2/5

Step-by-step explanation:

What is 1/2 + (-3/4)


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Answers

1/2 + (-3/4)

= 1/2 - 3/4

= 2/4 - 3/4

= -1/4
(1)/(2) + (-(3)/(4)) = \n \n  (1^((2))/(2)- (3)/(4) = \n \n  (2)/(4)- (3)/(4) =  \underline{\boxed{(-1)/(4)}   }

There are chickens and pigs in a farm yard? There are 68 feet and 23 tails in the farm yard. How many chickens and how many pigs does grandma have?

Answers

You have animals with 4 legs, and animals with 2 legs. Both animals only have one tail. So, given that they only have one tail, there are only 23 animals in the farmyard. 
Now, the equation would be, 
(68)/(x) =23
68=23x
(68)/(23) =x

Answer:

12 chickens and 11 pigs

Step-by-step explanation:

We know that...

Chickens have 2 feet and 1 tail.

Pigs have 4 feet and 1 tail.

Let c represent chickens.

Let p represent pigs.

We need to create two equations. One for feet, and one for tails.

Tails:

Because each animal has 1 tail, we can say that the number of pigs, (p) plus the number of chickens, (c) must equal 23. So...

c + p = 23

Feet:

Because each chicken has two feet, and each pig has 4 feet, we can say that 2 times the number of chickens, (c) plus 4 times the number of pigs, (p) needs to equal 68. So...

2c + 4p = 68

Now we have two equations.

2c + 4p = 68

and

c + p = 23

We can use the substitution method to find c and p.  The substitution method involves solving for one of the variables with one of the equations, then placing it into the other equation, so that you only have one variable to solve for, which you can do with simple algebra.

Solve for c

c + p = 23

c = 23 - p

Add that to the other equation.

2c + 4p = 68

2(23 - p) + 4p = 68

Solve for p

46 - 2p + 4p = 68

46 + 2p = 68

2p = 22

p = 11

Now that we know p, we can plug that into one of the equations to find c.

c + p = 23

c + (11) = 23

c = 12

Now we have c and p.

There are 12 chickens and 11 pigs on the farm.

What is the correlation coefficient of y=0.48x+75.2

Answers

a correlation coefficient shows how linear a set of data is, so for any points that comply with the given equation, the correlation coefficient will be one, that is, the correlation is completely linear, because the given equation is alinear one, there is a linear correlation of x and y. Indeed, the equation is a line equation in general form.

Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.

Answers

The correct statements are

  • The 4th term of the sequence is 9.
  • The domain of the sequence is all-natural numbers
  • And, (4,9) lies on the graph.

Given that,

  • The sequence is -3, 5, -7, 9, -11, …...

Based on the above information, the following information should be considered:

  • The given sequence contains an infinite no of terms. A
  • Also, the infinite series does have the domain for all natural numbers.
  • That means the domain of the given sequence should be equivalent to the natural numbers set.
  • As the 4th term should be 9. So, it is (4,9).
  • And, the 5th term should be -11 so it should be f(5) = -11.

Therefore we can conclude that the above statements should be considered true.

Learn more: brainly.com/question/18109692

Answer: The correct statements are, The 4th term of the sequence is 9, The domain of the sequence is all natural numbers, and (4,9) lies on the graph.

Step-by-step explanation:

Since, the given sequence, –3, 5, –7, 9, –11, …..

So, we can say that the above sequence has infinite number of terms.

And, we know that the infinite series has the domain of all natural numbers.

So the domain of above sequence = set of all natural numbers.

Since, the 4th term of the sequence = 9

Therefore (4,9) lie on the graph of sequence.

And the 5th term of the function = -11

therefore f(5) = -11

Thus, from the above explanation we can determine the correct statements.