Answer:
The probability that my sister's business will still open at the end of the first year is 0.541.
Step-by-step explanation:
The events are denoted as:
<em>A</em> = A new small business closes before the end of its first year.
<em>B</em> = New business started by a woman.
It is provided that:
P (A) = 0.42
P (B) = 0.37
P (A ∪ B) = 0.62
The probability that my sister's business will still open at the end of the first year is expressed as .
The value of .
Compute the value of P (A ∩ B) as follows:
The value of is:
Compute the value of as follows:
Thus, the probability that my sister's business will still open at the end of the first year is 0.541.
C=2πr and x^2+y^2=r^2
r=4 because of the equation (16)^1/2 is 4
C=8π
Answer: 0.8238
Step-by-step explanation:
Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with and .
Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.
Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-
Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238
I) Draw a point at the bottom corner. From here count 7 right and 3 up. Mark this point aswell. Join these 2 point together to create a line and put an arrow head half way through to show direction.
ii) 2+5 = 7
4-1 = 3
So the column vector would be 7 over 3 in brackets
Hope this helps
Answers:
- Lateral Area = 108 square km
- Surface Area = 120 square km
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Explanation:
Think of the triangles as the floor and ceiling of this 3D room. The walls are the three rectangular sides.
We have a 9 by 4 wall with area 9*4 = 36 square km
We have a 9 by 3 wall with area 9*3 = 27 square km
We have a 9 by 5 wall with area 9*5 = 45 square km
The lateral area is 36+27+45 = 108
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The two triangles form the base faces of this prism.
Let's find the area of one of the triangles
area = 0.5*base*height = 0.5*3*4 = 6
One triangle has area 6, so both triangles in total have area 2*6 = 12 square km.
The total surface area is therefore 108+12 = 120 square km