Answer:
Step-by-step explanation:
Anything set to equal <em>x</em> is considered an undefined <em>rate of change</em> [<em>slope</em>], which is a <em>vertical line</em>. This is not a function, since it flunks the <em>vertical line test</em>.
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Answer: 36.9
Step-by-step explanation:
The radius of the sun is approximately 700,000 kilometers<span>. What is the </span>volume of the sun? V = F | m. 4)(700000km<span>)? V = 1.436 X 1018 km3. The </span>volume of the sun is approximately<span> 1.436 X 1018 km². 6. An ice cream cone has </span>a diameter<span> of 3 inches.</span>
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
Answer:
Step-by-step explanation:
For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.
We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The confidence interval for a proportion is given by this formula
For the 98% confidence interval the value of 
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And the margin of error would be:
