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Dovator [93]
3 years ago
11

Please help 10 points for the answer;

Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=3(x-0)

y-4=3x

y=3x+4

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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno
Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(paint cans contain less than 5.54 ml of the dye)

P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)

Calculation the value from standard normal z table, we have,  

P(x < 5.54) =0.9115 = 91.15\%

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

5 0
3 years ago
Evaluate the sum or explain why it diverges: Sigma^infinity_k = 3(-3/2)^k
LenaWriter [7]

Answer:

Step-by-step explanation:

Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.

I suppose that the serie starts at 0, so using the geometric serie with r = | \frac{-3}{2} | > 1 the serie diverges.

8 0
3 years ago
when is the appropriate to model data with a linear function. give example of a real world data that can modeled with a linear f
Natalija [7]

Answer:

You can model a data using a linear function when the dependent variable is a multiple of the independent formula plus another constant by the y-intercept. The constant multiple is represented by the slope. In real life problems, linear function is applied when you want to determine the cost given with a slope which is represented by cost per unit time. For example, the cost of wifi connection is $10/month plus $2 inclusive for phone charges. The linear function would be:

C = 10t + 2

where C is the cost and t is time in months

Step-by-step explanation:

6 0
3 years ago
_____ uses established rules to draw conclusions, whereas in _____, such rules are not established, and we may not know the cons
aliina [53]

Answer:

Reasoning, Decision making

Step-by-step explanation:

The reasoning is the process of mental. In the process, reasoning needs a reason for establishing the facts. This is a cognitive process. All people engage in reasoning due to their ability to introspection. The reasoning is different in every field in every aspect.  

The cognitive process plays a role in both reasoning and decision making. These both are the sub-field creative thinking. Many factors create a barrier in decision making such as incomplete information, emotional and physical resources.  

Thus when we may not know the consequences we used both reasoning and decision making.

5 0
3 years ago
Identify the graphed linear equation.<br> A) y=5x+2<br> B) y=5x-2<br> C) y=-5x+2<br> D) y=-5x-2
soldi70 [24.7K]

Answer: y=-5x-2

Step-by-step explanation: If you type all of the options into desmos calculator you will come up with 4 different graphs. Just simply find the graph with your coordinates on it. hope this helped :)

7 0
3 years ago
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