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Rudik [331]
2 years ago
9

Find the slope of the line.

Mathematics
1 answer:
Lynna [10]2 years ago
5 0

Answer:

The slope is 2

Step-by-step explanation:

Given

(x_1,y_1) = (2,9)

(x_2,y_2) = (-1,3)

Required

The slope (m)

This is calculated as:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{3 - 9}{-1 - 2}

m = \frac{- 6}{-3}

m =2

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Random, because he surveyed 30 <em>random</em> shoppers

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Step-by-step explanation:

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3 years ago
Lucy Baker is analyzing demographic characteristics of two television programs, American Idol (population 1) and 60 Minutes (pop
creativ13 [48]

Answer:

Alternative hypothesis:\mu_1 -\mu_2 \neq 0

Or in the alternative way would be:

 Alternative hypothesis:\mu_1 \neq \mu_2

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The means for the two groups (American Idol and 60 Minutes) is the same". So we want to check if we have significant differences between the two means, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis:\mu_1 -\mu_2 = 0

This null hypothesis can be expressed like this:

Null hypothesis:\mu_1 = \mu_2

Alternative hypothesis:\mu_1 -\mu_2 \neq 0

Or in the alternative way would be:

Alternative hypothesis:\mu_1 \neq \mu_2

4 0
3 years ago
The basketball boosters are selling school t-shirts for 20 dollars and pants for 45 dollars. Last week they sold 100 items and c
lana66690 [7]

He sold 76 shirts and 24 pants.

Step-by-step explanation:

Given,

Cost of one t-shirt = $20

Cost of one pants = $45

Total items sold = 100

Total sales = 2600

Let,

x be the number of t-shirts

y be the number of pants

According to given statement;

x+y=100    Eqn 1

20x+45y=2600   Eqn 2

Multiplying Eqn 1 by 20

20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600

Dividing both sides by 25

\frac{25y}{25}=\frac{600}{25}\\y=24

Putting in Eqn 1

x+24=100\\x=100-24\\x=76

He sold 76 shirts and 24 pants.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/289820
  • brainly.com/question/2826639

#LearnwithBrainly

3 0
3 years ago
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