Answer:
Step-by-step explanation:
The normal distribution curve standard is bell shaped having mean =0 and std devition =1.
This is symmetrical about the y axis i.e. mean. More than 99% of the area under the curve lie between z=-3 to z=3
To find the area to the right of z =0.05 is equivalent to
calculating the
Probability that Z >0.05
= P(Z>0.05)
=0.5-0.0199
=0.4801
(the sketch is attached)
Answer:
Step-by-step explanation:
First, these are points in a plane, hence should be (-1,2) and (7,3)
Then we'll have
-1+7=6/2=3
2+3=5/2=2.5
Then midpoint is (3,2.5)
Answer:
29.42 units
Step-by-step explanation:
<u>1) Find the perimeter around the semi-circle</u>
To do this, we find the circumference of the circle using the given diameter:
where d is the diameter
Plug in 6 as the diameter

Divide the circumference by 2

Therefore, the perimeter around the semi-circle is 3π units.
<u>2) Find the perimeter around the rest of the shape</u>
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>

Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
Answer:
73
Step-by-step explanation:
Multiply by .22 then add that answer to what you multiplied. For example, you need to increase 100 by 22%. 100 × .22 = 22. 100 + 22 = 122