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Sati [7]
3 years ago
12

Consider the graph shown.

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer:

y = \frac{2}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = \frac{4-2}{3-0} = \frac{2}{3}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = \frac{2}{3} x + 2 ← equation of line

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The sales tax in your city is 8.8%, and an item costs $63.50. How much tax would you pay on that item?
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Step-by-step explanation:

63.5*0.088 =5.588 tax for your answer

8 0
2 years ago
Solve for 19= -3a -5
Vesnalui [34]

Answer:

a = -8

Step-by-step explanation:

19 = -3a - 5

Add 5 to both sides.

24 = -3a

Divide both sides by -3.

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a = -8

6 0
3 years ago
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Using the graph below, what would the input (x-value) need to be for an output (y value) of 1?
sergij07 [2.7K]

Answer:

X = 2

Y = 1

The graph intersects at the exact point of (2,1)

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A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and t
Eddi Din [679]

Answer:

  • P(Yellow)=0.25
  • P(Not Red)=0.65

Step-by-step explanation:

P(Red)=0.35

P(Green)=0.4

(a)Since there are three colours inside the bag

P(Red)+P(Green)+P(Yellow)=1

0.35+0.4+P(Yellow)=1

P(Yellow)=1-(0.35+0.4)

P(Yellow)=0.25

(b) In probability, the sum of an event and its complement is 1.

Therefore:

P(Red)+P(Not Red)=1

0.35+P(Not Red)=1

P(Not Red)=1-0.35

P(Not Red)=0.65

3 0
3 years ago
A 2001 study by two researchers investigated an anti-poverty initiative in Venezuela called POVERTA. POVERTA gave money to poor
ANEK [815]

Answer:

1. This is a "RANDOMIZED CONTROLLED EXPERIMENT".

A randomized controlled experiment is a type of research study, were the researcher randomly select samples in other not to be biased. This samples are separated into two groups, which are the experimental and the controlled group.

2. The research has a treatment group and a controlled group.

A treatment group are those group that received some special treatment from the researcher, it can also be called the experimental group. According to the research, the treatment group are those who are in the POVERTA scheme. That is the 320 communities.

A controlled group are those group that were not given any special treatment, but are , separated and studied. According to the research the controlled group are those 185 communities

3. This research provides evidence that being in a community receiving POVERTA benefits is associated with a lower rate of childhood illness. Because after two years, it was noticed the children in the community that receives POVERTA has low rate of illness, than the children in a community that doesn't receive the benefits of POVERTA.

4. This study does not provide evidence that being in a community receiving POVERTA benefits causes a lower rate of childhood illness. Because the research did not involve treatment of illnesses and they is no experimental evidence that shows that POVERTA benefits is interrelated with illness, as illness involves the internal functions of human body.

5. Such study will be called a "RANDOMIZED CONTROLLED EXPERIMENT". Because their randomly isolated themselves, and the POVERTA treatment was not given to them. The researcher was not based in selecting them not to participate.

3 0
3 years ago
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