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Marizza181 [45]
3 years ago
11

For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the

set of all values taken on by the ________ variable is the range
Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

Independent  \to  Domain

Dependent \to Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

y = f(x)

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

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Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
irga5000 [103]

Answer

a= -6

Step-by-step explanation:

-2(a-3)=12

1.) -2(a)= -2a

2) -2(-3)= 6

3)  -2a+6=12

          -6    -6

4) -2a/-2 = 12/-2

a = -6

3 0
3 years ago
Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5​
max2010maxim [7]

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

\frac{19}{5}=3\frac{4}{5}=3.80

We know that \frac{1}{5} is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\  -0.5=-0.5

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

3.80>1.62>-0.5>-4.666

We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.

Final Answer

After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:

\frac{19}{5}>1.62>-0.5>\frac{-14}{3}

Cheers!

6 0
2 years ago
Sylvia and Darlene collect seashells.
svlad2 [7]

Answer:

S = 60

Step-by-step explanation:

240 divided by 4 is equal to 60

5 0
2 years ago
The length of a rectangle is 11 in. longer than its width. the perimeter of the rectangle is 86 in.write and solve an equation t
Tcecarenko [31]
I hope this helps you


width w


length w+11



perimeter =2 (width +length )


86=2 (w+w+11)


43=2w+11


32=2w


w=16

length = w+11=16+11=27
6 0
3 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4.
JulijaS [17]

Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986

Step-by-step explanation: the probability mass function of a possion probability distribution is given as

P(x=r) = (e^-λ)×(λ^r) /r!

Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4

a) P(x= at least one) = P(x≥1)

P(x≥1) = 1 - P(x<1)

But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}

Hence, P(x≥1) = 1 - P(x=0)

P(x=0) = e^-2.4 * 2.4^0/(0!)

P(x=0) = 0.0907×1/1

P(x=0) = 0.0907

b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.

Hence λ = 12.

P(x= at least 10) =P(x≥10) = 1 - P(x≤9)

P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.

From the table P(x≤9) = 0.2014.

P(x≥10) = 1 - 0.20140

P(x≥10) = 0.7986

4 0
3 years ago
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