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Yuliya22 [10]
4 years ago
9

For which function is the average rate of change over the interval 1 < x < 5 greater than the average rate of change over

the same interval for the function g(x) = 1.8x2?
Mathematics
1 answer:
-Dominant- [34]4 years ago
4 0

Answer:

The average rate of change of g(x) = 1.8x² with interval 1 < x < 5 is 10.8

Step-by-step explanation:

Given

g(x) = 1.8x²

Interval 1 < x < 5

The average rate of change of the function g (x) on the interval [a,b] is calculated using the following formula:

Average Rate of change = (g(b) - g(a))/(b - a)

Where a and b are values from the interval.

a = lower Interval = 1

b = upper Interval = 5

First, we need to calculate g(b) and g(a)

Given that g(x) = 1.8x²

g(a) = g(5) = 1.8 * 1²

g(a) = 1.8 * 1

g(a) = 1.8

Then we calculate g(a)

g(b) = g(5) = 1.8 * 5²

g(b) = 1.8 * 25

g(b) = 45

We then calculated the average Rate of change by substituting values in= (g(b) - g(a))/(b - a)

Average Rate of Change = (45 - 1.8)/(5 - 1)

Average Rate of Change = 43.2/4

Average Rate of Change = 10.8

Hence, the average rate of change of g(x) = 1.8x² with interval 1 < x < 5 is 10.8

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After comparing response times between the audio and picture portions of the MIT test, the t-test resulted in a t-value of 2.97.
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Answer:

e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.

Step-by-step explanation:

given that after comparing response times between the audio and picture portions of the MIT test, the t-test resulted in a t-value of 2.97.

test statistic t = 2.97

Sample size n =250

Critical value of t at 95% is 1.96

We find that test statistic absolute value is greater than 1.96

So p value would be less than 0.05

This implies that null hypothesis stands in the rejected region.

So reject null hypothesis would be correct conclusion.  Sample size cannot be said to be small as more than 30 itself is a good sample size.

e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.

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Answer:

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Step-by-step explanation:

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4 years ago
In simple linear regression model with x representing the independent variable and y representing the dependent variable, linear
77julia77 [94]

Answer:

The correct option is b)

find the y intercept and slope of the line of association between X and Y.

Step-by-step explanation:

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Tyree is determining the distance of a segment whose endpoints are A(–4, –2) and B(–7, –7).
PilotLPTM [1.2K]

Answer:

Tyree’s solution is inaccurate. In step 1, he substituted incorrectly.

Step-by-step explanation:

to find the distance between two point A(-4, -2) and B(-7, -7) we use the following distance formula

d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1}  )^2 \\\\

x1=-4, x2=-7

y1=-2, y2=-7

so,

d=\sqrt{(-7-(-4))^2+(-7-(-2)  )^2\\}\\\\d=\sqrt{(-7+4)^2+(-7+2)^2 }\\\\d=\sqrt{(-3)^2+(-5)^2 }\\\\\\\\d=\sqrt{9+25}\\ \\d=\sqrt{34}

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4 years ago
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