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2 years ago

Write a system of inequalities using the given graph

Mathematics

1 answer:

ziro4ka [17]2 years ago

7 0

For dark line

(0,1)
(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5x
y=5x+1

Put (0,0)

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)
(0,-2)

Equation in intercept form

x/2-y/2=1
x-y=2
y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

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A cylinder with radius 7 and height 4 is in table,then find its volume?<br>

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Answer:

V = ≈615.75

Step-by-step explanation:

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2 years ago

The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

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2 years ago

Which equation is represented by the table?

swat32

The equation represented by the table would be the 3rd option - y=|x-3|-3
Please like and I hope this helps :)

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3 years ago

Multiple to list the next five multiples of 3

brilliants [131]

Answer:

6, 9, 12, 15, 18

Step-by-step explanation:

Finding multiples is simple, count by 3 for as many times as you can and there are your multiples.

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2 years ago

The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36

Charra [1.4K]

9514 1404 393

Answer:

(1, 4)
(2, 8)
(3, 12)

Step-by-step explanation:

The ratios all have ...

first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

You plot these (x, y) points the same way you plot <em>any</em> point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

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2 years ago