Answer:
= 5 ( 12d + 23f )
Step-by-step explanation:
-2(5d-9f)+7f-10(-9f-7d
Open parenthesis
= -10d + 18f + 7f + 90f + 70d
Collect like terms
= -10d + 70d + 18f + 7f + 90f
= 60d + 115f
Factorise
= 5 ( 12d + 23f )
Therefore,
-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )
Answer:
y-intercept = (0,-21)
vertex = (2,-25)
Step-by-step explanation:
Answer:

Step-by-step explanation:
Using central Limit Theorem (CLT), The sum of 100 random variables;
is approximately normally distributed with
Y ~ N (100 ×
) = N ( 50,
)
The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;
N ( 50,
)




Using Chebyshev's inequality:

Let assume that X has a symmetric distribution:
Then:


where: (
)

Answer:
8 lbs 5 oz
Step-by-step explanation:
When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.
There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.
you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.
5
Step-by-step explanation: