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Akimi4 [234]
2 years ago
15

Comedy Drama Action Horror

Mathematics
1 answer:
Neporo4naja [7]2 years ago
4 0

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

<h3>Day 1: </h3>

⇒ Comedy: 5

    Drama: 7

    Action: 3

    Horror: 1

<h3>Day 2:</h3>

⇒ Comedy: 2

    Drama: 11

    Action: 4

    Horror: 5

<h3 /><h3>With this information we can start ruling out our answer choices.</h3>

<u>A. horror is the most popular genre</u>

Lets see, both of the sum of both days for <u>Horror is 6</u>, for <u>Action is 7,</u> <u>Drama is 18,</u> and <u>Comedy is 7, </u>with this we can conclude that<u> </u><u><em>horror is actually the least popular genre</em></u>

<u>B. Drama is the most popular genre</u>

Using the information we gathered previously, we know <u>Drama is the most popular genre</u>, therefore this option is a high possibility.

<u>C. People like comedies because they like to laugh</u>

Although, I personally love comedies for this reason, <u>this chart does not prove that people like comedies for this reason.</u>

<u>D. People don't like horror movies because they don't like to be scared</u>

As for option C, the <u>chart does not prove that is the case!</u>

<h3>Therefore we can conclude that <u>option B</u> is the best choice.</h3>

<em></em>

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0.1562 rounded to the nearest hundredth place
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Answer:

0.16

Step-by-step explanation:

if the number in the thousandths is 5 or over you round it up.

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How Many Solutions?<br> – 3 (v + 4) = 2v - 37<br> Infmute Solution<br> No Solution<br> One Solution
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V=5
6 0
3 years ago
The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out t
yulyashka [42]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   C

b

    C

c

    C

d  

     A

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  0.5 \  in

     

Generally the Null hypothesis is  H_o  :  \mu = 0. 5 \ in

                The Alternative hypothesis is  H_a  :  \mu  \ne  0.5 \ in

Considering the parameter given for part a  

       The sample size is  n =  15  

        The  test statistics is  t =  1.66

        The level of significance \alpha  =  0.05

The degree of freedom is evaluated as

            df =  n-  1

           df =  15-  1

           df =  14

Using the critical value calculator at (social science statistics web site )  

           t_{\frac{\alpha}{2} ,df } =  t_{\frac{0.05 }{2} ,14} =  2.145

We are making use of this  t_{\frac{\alpha }{2} } because it is a one-tail test

Looking at the value of  t and t_{\frac{\alpha }{2} } the we see that  t < t_{\frac{\alpha }{2}  } so the null hypothesis would not be rejected

Considering the parameter given for part b  

       The sample size is  n =  15  

        The  test statistics is  t =  -1.66

        The level of significance \alpha  =  0.05

The degree of freedom is evaluated as

            df =  n-  1

           df =  15-  1

           df =  14

Using the critical value calculator at (social science statistics web site )  

           t_{\frac{\alpha}{2} ,df } =  t_{\frac{0.05 }{2} ,14} =  -2.145

Looking at the value of  t and t_{\frac{\alpha}{2} ,df } the we see that t does not lie in the area covered by  t_{\frac{\alpha}{2}  , df } (i.e the area from -2.145 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

 

Considering the parameter given for part  c

       The sample size is  n =  26  

        The  test statistics is  t =  -2.55

        The level of significance \alpha  =  0.01

The degree of freedom is evaluated as

            df =  n-  1

           df =  26-  1

           df =  25

Using the critical value calculator at (social science statistics web site )  

           t_{\frac{\alpha}{2} ,df } =  t_{\frac{0.01 }{2} ,25} =  2.787

Looking at the value of  t and t_{\frac{\alpha }{2} } the we see that t does not lie in the area covered by  t_{\alpha , df } (i.e the area from -2.787 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  d

       The sample size is  n =  26  

        The  test statistics is  t =  -3.95

        The level of significance \alpha  =  0.01

The degree of freedom is evaluated as

            df =  n-  1

           df =  26-  1

           df =  25

Using the critical value calculator at (social science statistics web site )  

           t_{\frac{\alpha}{2} ,df } =  t_{\frac{0.01 }{2} ,25} =  -2.787

Looking at the value of  t and t_{\frac{\alpha}{2}  } the we see that  t  lies in the area covered by  t_{\alpha , df } (i.e the area from -2.787 downwards on the normal distribution curve ) hence we  reject the null hypothesis

6 0
3 years ago
For what value of h is the expression (x-h)^2+6 equivalent to the expression x^2-6x+15
Yuri [45]

Answer:

1. h=3     2. h=1

Step-by-step explanation:

You need to make both sides into perfect square trinomials that you factor into the perfect square of a binomial. The left side is almost there to start with.

ax² + bx + c is the standard equation

1. ( x – h)² + 6 = x² - 6x + 15     subtract 6 from both sides to get ( x – h)² alone

                - 6                 -  6

(x – h)²          = x² - 6x + 9      factor the right side into a perfect square (b/2)

                      here b = -6  so b/2 = -3    so  (x – 3)²

                      (x – 3)² = (x - 3)(x - 3) = FOIL(first, outside, inside, last)

                      (x)(x) + (-3)(x) + (-3)(x) + (-3)(-3) = x² - 3x - 3x + 9

                      =  x² - 6x + 9 =  (x – 3)²   so

(x – h)²   = (x - 3)²  so  h= 3

ax² + bx + c is the standard equation

2. ( x – h)² - 6 = x² - 2x - 5     add 6 to both sides to get ( x – h)² alone

                + 6               + 6

(x – h)²          = x² - 2x + 1     factor the right side into a perfect square (b/2)

                      here b = -2  so b/2 = -1    so  (x – 1)²

                      (x – 1)² = (x - 1)(x - 1) = FOIL(first, outside, inside, last)

                      (x)(x) + (-1)(x) + (-1)(x) + (-1)(-1) = x² - 1x - 1x + 1

                      =  x² - 2x + 1 =  (x – 1)²   so

(x – h)²   = (x - 1)²  so  h= 1

4 0
3 years ago
Which set of data has the smallest difference between the mean and the median?
Andre45 [30]

Answer:

D 23, 36, 25, 38, 30

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all it's values divided by the number of values.

Median of a data-set:

The median of a data-set is the value that separates the lower 50% from the upper 50% on the ordered set.

If the cardinality n is odd, as in this case, the median is the element at the position (n+1)/2. Since in this case, n = 5, the median is the 3rd element in the ordered set.

A 13, 42, 17, 26, 38

Ordered set: 13, 17, 26, 38, 42

Median: 26

Mean: (13+17+26+38+42)/5 = 27.2

Difference: 27.2 - 26 = 1.2

B. 28, 7, 36, 8, 17

Ordered set: 7, 8, 17, 28, 36

Median: 17

Mean: (7+8+17+28+36)/5 = 19.2

Difference: 19.2 - 17 = 2.2

C 14, 29, 38, 7, 13

Ordered set: 7, 13, 14, 29, 38

Median: 14

Mean: (7+13+14+29+38)/5 = 20.2

Difference: 20.2 - 14 = 6.2

D 23, 36, 25, 38, 30

Ordered set: 23, 25, 30, 36, 38

Median: 30

Mean: (23+25+30+36+38)/5 = 30.4

Difference: 30.4 - 30 = 0.4

Option d has the smallest difference.

6 0
3 years ago
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