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4 years ago

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Mathematics

1 answer:

Nadusha1986 [10]4 years ago

7 0

It is c because 8x2=16 and 8x4=32 and so on

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The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret th

Lapatulllka [165]

Answer:

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

the point where the line passes through X-axis i.e. point where y=0

Y-intercept:

the point where the line passes through Y-axis i.e. point where x=0

Given Equation:

$y=-16x^2+36$

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

$0=-16x^2+36\\$

adding $-16x^2$ to both sides of the equation, we get

$16x^2=36$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

$y=-16(0)^2+36\\y=36$

thus x-intercept $=x=1.5$

and y-intercept $=y=36$

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

$0=-16x^2+36\\$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

the apple will hit the ground after x=1.5 seconds.

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Assuming the conditions are met, if the 95% confidence interval for p was calculated to be (0.604, 0.781), what is the correct i

Ugo [173]

Answer: 95% certain that true proportion of population "p" is contained in (0.604, 0.781)

Step-by-step explanation:

We know that a 95% confidence interval is a range of values that you can be 95% sure that true mean of the population or true proportion of population lies in it .

Given : The 95% confidence interval for p was calculated to be (0.604, 0.781).

It means that we are 95% certain that true proportion of population "p" is contained in (0.604, 0.781).

Hence, the correct interpretation for this interval :- 95% certain that true proportion of population "p" is contained in (0.604, 0.781).

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