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mezya [45]
2 years ago
6

I will give brainliest Select the expression equivalent to

Mathematics
1 answer:
Neko [114]2 years ago
6 0
It’ll be the first one
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Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o
Alik [6]

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

<em>H₀</em>: Age of a young adult and movie preference are independent.

<em>Hₐ</em>: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the table below.

The formula to compute the expected frequencies is:

E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}

The Chi-square test statistic value is:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

   = (3 - 1)(3 - 1)

   = 2 × 2

   = 4

Compute the <em>p</em>-value as follows:

<em>p</em>-value = 0.6266

*Use a Chi square table.

As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

5 0
3 years ago
HELPPPPPPPPPPPPP please
sveticcg [70]

Answer:

a: 12 cm

b: I think it's 2.5 cm but someone might have to double check that

Step-by-step explanation:

7 0
2 years ago
If 8x is the length of a rectangle and the area is 8x^2 -56x what must the width be?​
Irina18 [472]

Answer:

width= x-7

Step-by-step explanation:

l= 8x

Area = l*b

b= 8x^2-56x/8x

b= 8x(x-7)/8x

b= x-7

7 0
3 years ago
What would the sum of -18-(-12) be?
Mademuasel [1]
-18-(-12)=-6 
Since there is two negative sign, it turns into positive meaning the -12 becomes positive 12 and the -18 stays same. So -18+12=-6 because 18 is bigger than 12 and it's negative so the final answer should be negative. 
Hint: when you see two negative sign just turn them into plus sign.  

7 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP &lt;3
anzhelika [568]

Answer:

C

Step-by-step explanation:

∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD

The 3 angles form a straight angle and sum to 180°, that is

4x + 5 + 6x + 3 + 5x + 7 = 180, that is

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus

∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )

3 0
3 years ago
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