Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) = 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking where n = 37. is normally distributed with mean 62.5 in and standard deviation . So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
-5 and 1/10
try to convert tomixed fraction
1=10/10 in this problem
-5=-50/10
add
-50/10-1/10=-51/10
another form is decimal form
-5 and 1/10
1/10=0.1
-5.1 is another answer
If you divide 128 cookies by 8 trays, you'll get 16.
Therefore, theres 16 cookies baked in each 8 trays.
Answer:
x= 2,
,y = 5
Step-by-step explanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 5
// Plug this in for variable y in equation [2]
[2] -4x + 2•(5x-5) = 2
[2] 6x = 12
// Solve equation [2] for the variable x
[2] 6x = 12
[2] x = 2
// By now we know this much :
x = 2
y = 5x-5
// Use the x value to solve for y
y = 5(2)-5 = 5
Solution :
{x,y} = {2,5}
For any equation,
assume solution of a form,
Which leads to,
Simplify to,
Then find solutions,
For non repeated real root y, we have a form of,
Following up,
For two non repeated complex roots where,
and,
the general solution has a form of,
Or in this case,
Now we just refine and get,
Hope this helps.
r3t40