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3 years ago

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The unit rate of change of y with respect to x is the amount y changes for a change of one unit in x. Is the unit rate of change

y with respect to x greater in the equation y= 0.32x or in the graph below?
A. the equation
B. the graph
C. the unit rates are the same

1 answer:

gavmur [86]3 years ago

5 0

Answer: the graph

Step-by-step explanation:

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You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e

victus00 [196]

You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.

Answer:

The Confidence interval = (8.98 , 22.18)

Step-by-step explanation:

From the given information:

mean = $\dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}$

mean = 15.58

the standard deviation $\sigma$ = $\sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}$

the standard deviation = $\sqrt{\dfrac{(26.2 - 15.58)^2 +(27.7 - 15.58)^2 +(8.6 - 15.58)^2 + (3.8 - 15.58)^2 + (11.6 - 15.58)^2 }{5 } }$

standard deviation = 9.62297

Degrees of freedom df = n-1

Degrees of freedom df = 5 - 1

Degrees of freedom df = 4

For df at 4 and 80% confidence level, the critical value t from t table = 1.533

The Margin of Error M.O.E = $t \times \dfrac{\sigma}{\sqrt{n}}$

The Margin of Error M.O.E = $1.533 \times \dfrac{9.62297}{\sqrt{5}}$

The Margin of Error M.O.E = $1.533 \times 4.3035$

The Margin of Error M.O.E = 6.60

The Confidence interval = ( $\mu \pm M.O.E$ )

The Confidence interval = ( $\mu + M.O.E$ , $\mu - M.O.E$ )

The Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)

The Confidence interval = (8.98 , 22.18)

7 0

3 years ago

The guidance department has reported that of the senior class, 2.3% are members of key club, K, 8.6% are enrolled in AP physics,

Levart [38]

P(P|K) = 82.6%.

P(P|K) = P(K and P)/P(K) = 1.9%/2.3% = 0.019/0.023 = 0.8261 = 82.6%

4 0

3 years ago

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Please help with this question.

andrew11 [14]

Answer:

p3+13=37

We move all terms to the left:

p3+13-(37)=0

We add all the numbers together, and all the variables

p^3-24=0

7 0

3 years ago

Find the supplement of the angle.<br> A=133 degrees.

andrey2020 [161]

The supplement is 47

7 0

4 years ago

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Can someone interpret the question please? I’m my understanding. Thank you ☺️

Feliz [49]

Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)

-----------------------------------------

Explanation:

What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.

The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.

The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated

The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list

The bottom-right choice has a hypotenuse of 15, so we found the answer

Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)

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3 years ago