Answer:
see attached
Step-by-step explanation:
The vertical line test for a function passes when, if you draw a vertical line which intersects the graph, the line intersects the graph at ONLY ONE point.
It is quite clear that for all positive values of X, any vertical line will intersect the graph at 2 points, thereby failing the vertical line test for a function.
The square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. But note that (−4) × (−4) = 16 also, so −4 is also a square root of 16. This is why each nonzero interger has two square roots.
The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. But cube root is unlike square root where as -3 × -3 × -3 = -27 not 27 therefore there is only one cube root.
I hope this helps
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:
Answer:
Width = 16(√5) - 1
Step-by-step explanation:
We are told that the golden rectangle is 32 cm long.
Thus, length = 32 cm
We are also told that the ratio of the length to the width is; (1 + √5):2
Thus;
If a length of (1 + √5) yields a width of 2
Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)
So corresponding width = 64/(1 + √5)
We want to reduce this width to it's simplest radical form which means the denominator should have no square root.
Thus, let's multiply top and bottom by (1 - √5);
Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]
Width = 64(1 - √5)/(1 - 5)
Width = 64(1 - √5)/(-4)
Width = -16(1 - √5)
Width = 16(√5 - 1)
Width = 16√5 - 1
Answer:
1.75
Step-by-step explanation:
If a and b are two numbers, then their arithmetic mean is
Given:
Divide this equation by 10:
Now, divide it by 2:
