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2 years ago

A relation includes the coordinate (3,3). What other coordinate must be included in the relation if it is even?

1 answer:

3 0

let's not forget that when a relation is "even" f(-x) = f(x), or namely any negative of "x" yields the same result as any positive one.

if this relation is "even" and has (3 , 3), where x = 3, then if we were to plug f(-3) we should get a result or y-value of the same 3, giving us a point of (-3 , 3).

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Is 8.25635... rational or irrational

melisa1 [442]

Answer:

Irrational

Step-by-step explanation:

Because the decimal part in 8.25635... is non repeating non terminating type. Therefore it is an irrational number.

8 0

4 years ago

What are the solutions to the following system of equations? Select the correct answer below.

Galina-37 [17]

Is it really <span>x2 − 2x because that will not work.
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3 years ago

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What is the common difference for this arithmetic sequence?<br> 31, 48, 65, 82, ...

sergejj [24]

Answer:

d = 17

Step-by-step explanation:

The given arithmetic sequence is :

31, 48, 65, 82, ...

We need to find the common difference for this sequence.

First term, a₁ = 31

Second term, a₂ = 48

Common difference = a₂-a₁

= 48-31

= 17

So, the common difference for this arithmetic sequence is equal to 17.

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3 years ago

You know that y is a normally distributed variable with a variance of 9. You do not know its mean. You collect some data. For ea

Dima020 [189]

Answer:

CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

Step-by-step explanation:

Given that;

Variance σ² = 9

so standard deviation σ = √9 = 3

with 95% confidence interval in each case. thus, The Z value for 95% confidence is Z = 1.96

Null Hypotheses H₀ : μ = 2

Now

a) (8,1,5)

sample mean x" = (8+1+5) / 3 = 14/3 = 4.6666

n = 3

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 4.6666 ± ( 1.96 × 3/√3 )

CI = 4.6666 ± 3.3948

so CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

b) (8,1,5,-4,-8)

sample mean X" = (8 +1 + 5 - 4 - 8) / 5 = 2 / 5 = 0.4

n = 5

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 0.4 ± ( 1.96 × 3/√5 )

CI = 0.4 ± 2.6296

so CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

c) (8,1,5,-4,-8,4,8,5)

sample mean x" = (8 + 1 + 5 - 4 - 8 + 4 + 8 + 5) / 8 = 19 / 8 = 2.375

n = 8

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 2.375 ± ( 1.96 × 3/√8 )

CI = 2.375 ± 2.0788

so CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

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3 years ago

What is the absolute value of -98

Sav [38]

It's just 98. Any absolute value is just the number itself. no negatives.

3 0

3 years ago

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