Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We can find the probability required with the following z score formula:

And replacing we got:
And using a calculator, excel or the normal standard table we have that:
As the equation does not consists like terms we can only get x , y equations.
Step-by-step explanation:
Firstly, they are not like terms.
If the value to be is found is X then,
8x+5y=4
Now subtract 5y on both sides
8x+5y-5y=4-5y
here both positive 5y and negative 5y get cancelled
Now divide by 8
x=(4-5y)/8
If we need y value then,
subtracting both sides by 8x
5y=4-8x
Now dividing with 5 on both sides
y=(4-8x)/5 =>y=4/5 -8x/5
According to Y=mx+c
slope = m = 4/5
y-intercept = -8x/5.
Answer:
D
Step-by-step explanation:
This should be easy one unless you're making silly mistake like forgetting to take reciprocal of 
lets do it:
÷
first: we take the reciprocal of 3/2x now its
*
now just multiply top and bottom by using distributive method
this is your answer.
4 consecutive even integers....x, x + 2, x + 4, x + 6
5(x + x + 4) = 9(x + 6) - 12
5(2x + 4) = 9x + 54 - 12
10x + 20 = 9x + 42
10x - 9x = 42 - 20
x = 22
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
x + 6 = 22 + 6 = 28
so ur numbers are : 22,24,26, and 28
Answer:
It will not be enough as it should have been 4 left handed gloves.
Step-by-step explanation:
Izzy estimates 10% of the players are left handed so he orders 3 left handed gloves will not be enough because of the following:
10% of 36 is 3.6
36 * 10 / 100 = 3.6
Therefore taking the estimation 3.6 is equal 4