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Nady [450]
3 years ago
13

9. A parallelogram is a quadrilateral. True or False?

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

YES

Step-by-step explanation:

Quadrilateral have 4 sides and their sum  of angles is 360 and parallelogram also have 4 sides and sum of angles is 360

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When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Ksenya-84 [330]

Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.

<h3>What is a domain?</h3>

The whole of the independent variable's possible values makes up the domain of a function.

For the given data we need to find which of the given statements are true.

From option A:

The domain is {4, 8, 11, 15}.

The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.

Therefore, option A is False.

From option B:

An 11-gallon tank would cost $44.00 to fill completely.

From the given table we can see that 11-gallon tank costs $43.45.

Therefore, option B is False.

From option C:

A 9.1-gallon fill-up would cost $35.49.

To find 9.1 gallons we need to find the cost of 1-gallon.

That is, 15.80/4 = $3.95 (Given in the table)

Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49

Therefore, option C is False.

From option D:

A 12-gallon tank would cost $47.40 to fill completely.

We found that 1 gallon is $3.95.

$3.95 x 12 = $47.40

Therefore, option D is True.

Hence, from the given statements option D is True.

To learn more about data visit:

brainly.com/question/12576014.

#SPJ1

6 0
2 years ago
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
Find the magnitude of angle A if cos A = 0.5​
Hitman42 [59]

Step-by-step explanation:

A  =  {cos}^{ - 1} 0.5 \\  \:  \:   A= 60

4 0
2 years ago
I think I know how to solve this, but could someone please check my work for me?
Fiesta28 [93]
Answer is :

 cos⁻¹[(-1-4√7)/(√17, √8) = 173.33° ≈ 173°

5 0
3 years ago
Which function has the same y-intercept as the function y equals 2/3 x - 3​
aleksley [76]

We have the function y = \frac{2}{3} x -3 and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

y = \frac{2}{3} (0) -3 = -3

Now that we found that y-intercept =-3, any lineal function of the type: y = ax - 3 will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: y=ax^{2} + bx - 3 will have the same y-intercept. Where 'a' and 'b' can take all the real values.

6 0
3 years ago
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