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Daniel [21]
2 years ago
11

Find the number a such that the line x = a divides the region bounded by the curves x = (y^2) − 1 and the y-axis into 2 regions

with equal area. Give your answer correct to 3 decimal places.
Mathematics
1 answer:
pshichka [43]2 years ago
4 0
The graph of x= y^2 - 1 is a sideways parabola with its vertex at (-1, 0) and 
y-intercepts at (0,1) and (0,1).

This means that the line x= 0, meaning a=0, splits the graph in half, with equal area above and below the x-axis.

The answer is a=0
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The perimeter of triangle ABC is 32 find the lengths of AC and AB​
Nutka1998 [239]

The lengths of AC and AB​ are each 10.6 units.

<u>Step-by-step explanation</u>:

Perimeter of a triangle = Sum of all the three sides of a triangle

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3 years ago
Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)
Akimi4 [234]

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Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

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