Answer:
35 cm
Step-by-step explanation:
To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:
(4+4)*5.75*1/2=<u>23</u>
Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:
2*2*1/2=2
But since there's two identical triangles on either side, we can multiply that by two, which would bring it to <u>4.</u>
That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:
4*2=<u>8</u>
Now, to find the total area, all you have to do is add up the areas of the different sections:
23+4+8=35 cm
Hope this helps!
In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.
So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.
If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.
Answer:
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Step-by-step explanation:
Loggerhead turtles live and migrate around the Atlantic Ocean. Which of the following is an adaptation of Loggerhead turtles? *
Answer:
The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
In a random sample of 300 boards the number of boards that fall outside the specification is 12.
Compute the sample proportion of boards that fall outside the specification in this sample as follows:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The critical value of <em>z</em> for 95% confidence level is,
*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:
Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
