1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Talja [164]
3 years ago
8

What is the vertex of the following graph?

Mathematics
1 answer:
boyakko [2]3 years ago
6 0

The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .

You might be interested in
Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sa
xxMikexx [17]

Answer:

\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.221)=0.000067

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example \alpha=0.05, we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

Assume the following dataset:

Size Company/ Heal. Ins.   Yes   No  Total

Small                                      32   18    50

Medium                                 68     7    75

Large                                     89    11    100

_____________________________________

Total                                     189    36   225

We need to conduct a chi square test in order to check the following hypothesis:

H0: independence between heath insurance coverage and size of the company

H1:  NO independence between heath insurance coverage and size of the company

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{50*189}{225}=42

E_{2} =\frac{50*36}{225}=8

E_{3} =\frac{75*189}{225}=63

E_{4} =\frac{75*36}{225}=12

E_{5} =\frac{100*189}{225}=84

E_{6} =\frac{100*36}{225}=16

And the expected values are given by:

Size Company/ Heal. Ins.   Yes   No  Total

Small                                      42    8    50

Medium                                 63     12    75

Large                                     84    16    100

_____________________________________

Total                                     189    36   225

And now we can calculate the statistic:

\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.221)=0.000067

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example \alpha=0.05, we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

3 0
3 years ago
a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to app
Nuetrik [128]

Answer:

37.68

Step-by-step explanation:

C(circumference)= 2pi r

If the diameter is 12, the r adius is 6

plug into equation

2(pi)(6)

=12pi

=37.68

3 0
3 years ago
Not a question, but a suggestion.
USPshnik [31]

Answer:

thank you! you too

6 0
3 years ago
Read 2 more answers
30p questions hurry need your help pleaseeee!!
Ber [7]

Yes she can find the average colour by adding up all the amount of colors by how many colors there are.

6 0
3 years ago
Read 2 more answers
If 3x + c = 4, then x equals <br>A: 4-c <br>B: 4 -c/3 <br>C: c-4/3 <br>D: c-4​
Colt1911 [192]

Answer:

4-c/3 is ans

Step-by-step explanation:

3x+c=4

3x=4-c

x=4-c/3

4 0
3 years ago
Other questions:
  • Is the answer on inside or outside ?
    13·1 answer
  • Simplify ((–3)^2)^3.
    14·2 answers
  • What is the answer to this question? x/5 - 13 = 20
    7·2 answers
  • 1.8r + 9 = -5.7r - 6 Show your work and answers.
    15·2 answers
  • What is the relationship between a conjecture, a theorem, and a two-column proof?
    14·1 answer
  • I WILL MARK BRAINLIEST IF YOU ANSWE AND THANK YOU
    9·2 answers
  • What is the length of the hypotenuse
    15·2 answers
  • This filling cabinet is 26.5 in long. 15 in wide, and 52 in tall. What is the volume and surface area of this 3D shape?
    7·1 answer
  • Tony buys 3 bags of oranges there are 6 oranges in each bag. which expression represents the total number or oranges ​
    5·2 answers
  • If the volume of the cube was 27 (each side length is 3 units), what would the new volume be if each side length of the cube was
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!