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2 years ago

If a graph passes the horizontal line test, but not the vertical line test, is it still a function?

Mathematics

1 answer:

nydimaria [60]2 years ago

8 0

If a graph fails the vertical line test it's not a function; you can't have a single x map to two ys.

Vice versa, if the graph passes the verticle line test, it's a function.

The horizontal line test tests for injectivity aka one-to-one-ness; it has no bearing on whether something's a function.

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Rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (pH lev

stiv31 [10]

Answer:

The mean and standard deviation of the corrected pH measurements are 6.63 and 3.8025 respectively.

Step-by-step explanation:

We can correct the values of the mean and standard deviation using the properties of the mean and the variance.

To the original value X we have to add 0.2 and multiply then by 1.3 to calculate the new and corrected value Y:

$Y=1.3(X+0.2)$

The mean and standard deviation of the original value X are 4.9 and 1.5 respectively.

Then, we can apply the properties of the mean as:

$E(Y)=E(1.3(X+0.2))=1.3E(X+0.2)=1.3E(X)+1.3*0.2\\\\E(Y)=1.3E(X)+0.26\\\\E(Y)=1.3*4.9+0.26=6.37+0.26=6.63$

For the standard deviation, we apply the properties of variance:

$V(Y)=V(1.3(X+0.2))\\\\V(Y)=1.3^2\cdot V(X+0.2)\\\\V(Y)=1.69\cdot V(X)\\\\V(Y)=1.69\cdot 1.5^2=1.69\cdot 2.25=3.8025$

The properties that have been applied are:

$1.\,E(aX)=aE(X)\\\\ 2.\,E(X+b)=E(X)+b\\\\3.\,V(aX)=a^2V(X)\\\\4.\,V(X+b)=V(X)+0$

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3 years ago

If t represents the amount of time Neda has spent typing the second letter, which equation states the rule used to determine the

Gennadij [26K]

Answer:

W = t + 200

Step-by-step explanation:

Number of words typed in the first letter = 200

The relationship between the total words typed, W and the number of seconds, t spent on the second letter :

W = number of words typed in first letter + t

W = 200 + t

Choosing any pair of values from the table :

W = 245 ; t = 45

W = 200 + 45

W = 245

Therefore, the number of words, W typed today can be represented as

W = 200 + t

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2 years ago

Solce for y 5×+y=-10

horrorfan [7]

Answer:x =2

Step-by-step explanation:

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3 years ago

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Find the area of a regular hexagon with the given measurement of 48 inch perimeter

kozerog [31]

Answer:

A≈166.28in²

Step-by-step explanation:

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2 years ago

10. George earns $455 per week. He receives a 20% raise. What is George's new weekly salary?

djverab [1.8K]

Answer:

$546

Step-by-step explanation:

455*.20=91

91+455+546

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3 years ago

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