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4 years ago

How to solve this problem step by step. Make brainliest answer if its done. Please

Mathematics

1 answer:

sladkih [1.3K]4 years ago

6 0

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

$\frac{y2 - y1}{x2 - x1}$

<h3>Gradient of DE: </h3>

SUB IN COORDINATES OF D AND E

$\frac{1 - 2}{ - 1 - 2}$

therefore the gradient of DE is 1/3.

<h3>Gradient of BC:</h3>

SUB IN COORDINATES OF B AND C

 $\frac{ - 2 - 0}{ - 3 - 3}$ 

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

<h3>therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>

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Which one is > greater or < less than or = equal to?? 6+√8____√6+8

brilliants [131]

$\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }$

$6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }$

4 0

3 years ago

PLEASE HELP ME WITH THIS MATH QUESTION

damaskus [11]

WHERE IS THE QUESTION ??

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3 years ago

A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 275 subjects in the

gulaghasi [49]

Answer:

Step-by-step explanation:

From the give information: A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 275 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

Vaccination Status Diseased Not Diseased Total

Vaccinated 53 17 70

Not Vaccinated 62 143 205

Total 115 160 275

In this study, we have two variables ( Vaccination and diseases status ) The null and the alternative hypothesis can be stated as follows:

Null hypothesis: The two variables ( Vaccination and diseases status ) are independent

Alternative hypothesis : The two variables ( Vaccination and diseases status ) are dependent

The Chi-square test statistics can be computed as:

The Expected Values for the table can be calculated by using the formula:

$E_i=\dfrac{row \ total \times column \ total}{grand \ total}$

Vaccination Status Diseased Not Diseased Total

Vaccinated 29.273 40.727 70

Not Vaccinated 85.727 119.273 205

Total 115 160 275

$Chi - Square \ X^2 = \dfrac{(O_i-E_i)^2}{E_i}$

Vaccination Status Diseased Not Diseased Total

Vaccinated 19.232 13.823 33.055

Not Vaccinated 6.564 45.573 52.137

Total 25.796 59.396 85.192

Therefore;

the Chi-Square Test Statistics = 85.192

For this study; we two rows and two columns

Therefore, the degree of freedom = (rows-1) × (columns-1)

the degree of freedom = (2 - 1) × (2 - 1)

the degree of freedom = 1 × 1

the degree of freedom = 1

Using the level of significance of ∝ = 0.05 and degree of freedom = 1 for the chi-square test

The p-value for the test statistics = 0.00001

Decision rule: Since the P-value is lesser than the level of significance , therefore we reject the null hypothesis at the level of significance of 0.05

Conclusion:

We accept the alternative hypothesis and conclude that the two variables

(Vaccination and diseases status ) are dependent i.e the vaccination and disease status are related

5 0

4 years ago

Find the surface area

White raven [17]

Answer:299 cm

Step-by-step explanation: you have to find the area of square and rectangle. 33*6.5 = 214.5 plus 13 * 6.5 = 84.5 then add together

214.5 + 84.5 = 299cm

6 0

2 years ago

If 10 people apply for 3 jobs in how many ways can people be chosen for the jobs. 1. If the jobs are all the same. 2. If the job

Crank

Answer:

1. 120 ways

2. 720 ways

Step-by-step explanation:

When the order is important, we have a permutation.

When the order is not important, we have a combination.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

1. If the jobs are all the same.

Same jobs means that the order is not important. So

3 from a set of 10.

$C_{10,3} = \frac{10!}{3!(10-3)!} = 120$

120 ways

2. If the jobs are all different.

DIfferent jobs means that the order matters.

$P_{(10,3)} = \frac{10!}{(10-3)!} = 720$

720 ways

6 0

3 years ago