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
kow [346]
2 years ago
14

Find the slope of a line parallel to a line containing points (3,-5) and(1,7)

Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

Answer:

Required slope = - 6

Step-by-step explanation:

Parallel lines have same slope.

(x₁ , y₁) = (3 , -5)      &  (x₂ , y₂) = (1, 7)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6

Slope of the a line parallel to a line  = -6

You might be interested in
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows
harina [27]
The "unit rate" appears to be $20 per ticket.
7 0
3 years ago
You are rolling two dice at the same time. What is the probability of rolling a sum of 5 or 9?
baherus [9]
You can get a 5 by rolling :
1 and 4
2 and 3
3 and 2
4 and 1

You can get a 9 by rolling :
3 and 6
4 and 5
5 and 4
6 and 3

There are 36 possible outcomes, hence your probability is \frac{4\cdot2}{36}=\boxed{\frac29}
8 0
2 years ago
Read 2 more answers
I would appreciate the help, please!!!
kvv77 [185]

Answer:

ASA

Step-by-step explanation:

Angle       Side    Angle   congruent

∠2 = ∠3  ; AC  ;   ∠1 = ∠4

6 0
2 years ago
A researcher used a sample of n = 60 individuals to determine whether there are any preferences among six brands of pizza. Each
Blizzard [7]

Answer:

1) χ² ≥ 11.07

2) Goodness of fit test, df: χ²_{3}

Independence test, df: χ²_{1}

The goodness of fit test has more degrees of freedom than the independence test.

3) e_{females.} = 80

4) H₀: P_{ij}= P_{i.} * P_{.j} ∀ i= 1, 2, ..., r and j= 1, 2, ..., c

5) χ²_{6}

Step-by-step explanation:

Hello!

1)

The researcher took a sample of n=60 people and made them taste proof samples of six different brands of pizza and choose their favorite brand, their choose was recorded. So the study variable is the following:

X: favorite pizza brand, categorized in brand 1, brand 2, brand 3, brand 4, brand 5 and brand 6.

The Chi-square goodness of fit test is done with the following statistic:

χ²= ∑\frac{(O_i-E_i)^2}{E_i} ≈χ²_{k-1}

Where k represents the number of categories of the study variable. In this example k= 6.

Remember, the rejection region for the Chi-square tests of "goodnedd of fit", "independence", and "homogeneity" is allways one-tailed to the right. So you will only have one critical value.

χ²_{k-1; 1 - \alpha }

χ²_{6-1; 1 - 0.05 }

χ²_{5; 0.95 } = 11.070

This means thar the rejection region is χ² ≥ 11.07

If the Chi-Square statistic is equal or greather than 11.07, then you reject the null hypothesis.

2)

The statistic for the goodness of fit is:

χ²= ∑\frac{(O_i-E_i)^2}{E_i} ≈χ²_{k-1}

Degrees of freedom: χ²_{k-1}

In the example: k= 4 (the variable has 4 categories)

χ²_{4-1} = χ²_{3}

The statistic for the independence test is:

χ²= ∑∑\frac{(O_ij-E_ij)^2}{E_ij} ≈χ²_{(r-1)(c-1)} ∀ i= 1, 2, ..., r & j= 1, 2, ..., c

If the information is in a contingency table

r= represents the total of rows

c= represents the total of columns

In the example: c= 2 and r= 2

Degrees of freedom: χ²_{(r-1)(c-1)}

χ²_{(2-1)(2-1)} = χ²_{1}

The goodness of fit test has more degrees of freedom than the independence test.

3)

To calculate the expected frecuencies for the independence test you have to use the following formula.

e_{ij} = n * P_i. * P_.j = n * \frac{o_i.}{n} * \frac{o_.j}{n}

Where o_i. represents the total observations of the i-row, o_.j represents the total of observations of the j-column and n is the sample size.

Now, this is for the expected frequencies in the body of the contingency table, this means the observed and expected frequencies for each crossing of categories is not the same.

On the other hand, you would have the totals of each category and population in the margins of the table (subtotals), this is the same when looking at the observed frequencies and the expected frequencies. Wich means that the expected frequency for the total of a population is the same as the observed frequency of said population. A quick method to check if your calculations of the expected frequencies for one category/population are correct is to add them, if the sum results in the subtotal of that category/population, it means that you have calculated the expected frequencies correctly.

The expected frequency for the total of females is 80

Using the formula:

(If the females are in a row) e_{females.} = 100 * \frac{80}{100} * \frac{0}{100}

e_{females.} = 80

4)

There are two ways of writing down a null hypothesis for the independence test:

Way 1: using colloquial language

H₀: The variables X and Y are independent

Way 2: Symbolically

H₀: P_{ij}= P_{i.} * P_{.j} ∀ i= 1, 2, ..., r and j= 1, 2, ..., c

This type of hypothesis follows from the definition of independent events, where if we have events A and B independent of each other, the probability of A and B is equal to the product of the probability of A and the probability of B, symbolically: P(A∩B) = P(A) * P(B)

5)

In this example, you have an independence test for two variables.

Variable 1, has 3 categories

Variable 2, has 4 categories

To follow the notation, let's say that variable 1 is in the rows and variable 2 is in the columns of the contingency table.

The statistic for this test is:

χ²= ∑∑\frac{(O_ij-E_ij)^2}{E_ij} ≈χ²_{(r-1)(c-1)} ∀ i= 1, 2, ..., r & j= 1, 2, ..., c

In the example: c= 3 and r= 4

Degrees of freedom: χ²_{(r-1)(c-1)}

χ²_{(3-1)(4-1)} = χ²_{6}

I hope you have a SUPER day!

4 0
3 years ago
Which statement best describes the function below?
12345 [234]
The answer is B
Because when you graph it in the calculator you get x=-136 and that goes to one to one function on the graph
5 0
3 years ago
Other questions:
  • The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteri
    15·2 answers
  • Find the ratio of the perimeters and the ratio of the areas of the larger rectangle to the smaller rectangle.
    6·1 answer
  • What’s 2-3-4-4+7. Plzzzz
    15·2 answers
  • A square wall tile has an area of 58,000 square millimeters. Between which two measurements is the length of one side
    7·1 answer
  • What is the perimeter of a square
    12·2 answers
  • Which of the following expressions is equivalent to the expression 4/7 times 5/9
    6·1 answer
  • What is the domain of f in the equation <br> F(x)=5/x2-18x+45
    7·1 answer
  • Answer 10 and 11 and get 20 points
    8·1 answer
  • The mean length of 9 childrens' big finger is 6.8cm.
    15·1 answer
  • Heeellllllllllllllllppppppppppp
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!