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krok68 [10]
3 years ago
14

What equation passes through the coordinates (-4,6) and (2,5)

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0
To find the equation you would first need to find the slope. if you use the formula
y2 - y1/x2 - x1 = 5-6/2+4 (plus four because minus a negative turns into positive). your slope (m) would be -1/6. Since you have a point and a slope you can you point slope form ( y-y1=m(x-x1) ) to find the equation. Using the first coordinate (-4,6) and the slope (-1/6) your point slope form would be y-6=-1/6(x+4). Now you simplify your equation down. Multiply the -1/6 into the parentheses, y-6=-1/6x - 2/3. After that just add the 6 to the -2/3 to get y by itself, y= -1/6x + 16/3.
Therefore y=-1/6x + 16/3 would be your equation
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4. At Eagle Rock High School, the probability that a student takes theatre and choir is 0.052.
aleksklad [387]

Answer:

B

Step-by-step explanation:

Conditional probability is:

P(A given B) = P(A and B) / P(B)

Here, P(A and B) = 0.052 and P(B) = 0.17:

P(A given B) = 0.052 / 0.17

P(A given B) = 0.306

6 0
3 years ago
Find the value of n if (81)^5/n = 243
zavuch27 [327]

Answer:

N = 14348907

Step-by-step explanation:

81^5 = 3486784401

3486784401/243 = 14348907

Double Check

3486784401 / 14348907=243

So N = 14348907.

3 0
3 years ago
Evaluate the expression -4x+5y-14 when x=0 and y= 3/5​
emmainna [20.7K]

Answer:

-11

Step-by-step explanation:

Plug in 0 for x and 3/5 for y into the expression

-4(0) + 5(3/5) - 14

Multiply the numbers inside the parentheses

0 + 3 - 14

3 - 14 = -11, which is your answer

5 0
3 years ago
a dish has 21,245,673 bacteria in it. The population of bacteria will decline by 80% every day. How many bacteria will be presen
Ivahew [28]

Answer:

33993.0768

Step-by-step explanation:

You can multiply the number of bacteria by (0.2^4). The 0.2 is for the 20% that  left after each day. The (^4) is for the 4 days that have passed.

6 0
3 years ago
A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average ba
vichka [17]

Answer:

Part 1) The explanatory variable is the type of oven

It is a categorical variable

Part 2) The response variable is the baking time

It is a quantitative variable

part 3) two-sample z-test for proportions should be used for the test

Step-by-step explanation:

An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it  is not affected by any other variable

A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.

A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used

A quantitative variable is one that take on numerical values.

A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.

5 0
3 years ago
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