1.) So 1/5 of a relay, or r, is 3/4 of a mile.
1/5r = 3/4
Multiply 5 on both sides of the equation.
r = 15/4
The relay was 15/4 of a mile or 3 3/4 of a mile.
2.) No, it is not because the sum of the digits are not divisible by 3.
Hope this helps! :)
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = 
= 
= 
= 
⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
Step-by-step explanation:
a) If events A and B are independent we have
P(A/B) =P(A)
But here P(A/B) = 0.8 and P(A)=0.2
Hence A and B are not independent.
b) If events A and B are independent we have
P(A/B) =P(A)
But here P(A/B) = 0.6 and P(A)=0.3
Hence A and B are not independent.
c) If events A and B are independent we have
P(A/B) =P(A)
Jere P(A/B) = 0.5 and P(A)=0.5
Hence A and B are independent.
Answer:
259/30 or 8 19/30 depending on what format your teacher wants the answer
Step-by-step explanation:
First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
For a man 5'1 - 5'3 is 1 percent 5'4 is 3%, 5'5 is 4%, and 5'6 is 6%. For a female 5'1 is 7% 5'2 is 12%, 5'3 is 17%, and 5'4 is 17%, 5,5 is 12%
Step-by-step explanation:
