Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
Alright, lets get started.
If Matthew wants to complete packages at an average rate of at least 39 packages per hour.
And they worked 4 hrs only due to picnic, yesterday, it means they have to make 
packages.
But they made only 112 packages means they are short of 
packages.
Suppose they are working today t hrs, and his department will complete 43 packages per hour today.
It means they are going to make 43 t packages today.
This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.
So, average will be
(39 average given in question)
Cross multiplying
Adding 44 in both sides
Subtracting 39 t in both sides
Dividing 4 in both sides
t = 11 hrs
Hence they have to woth 11 hrs today : Answer
Hope it will help :)
Answer:
The number is 6.25
Explanation:
Assume that the number we are looking for is x
First, we will set up the equations as follows:
1- Subtract 1.05 from the number (assume the result is y):
x - 1.05 = y
2- Multiply the difference by 0.8 (assume the product is z):
0.8(y) = z
3- add 2.84 to the product (assume the result is w):
z + 2.84 = w
4- divide the sum by 0.01, the quotient is 700:
w / 0.01 = 700
Now, we will work backwards as follows:
4) w / 0.01 = 700
w = 0.01 * 700
w = 7
3) z + 2.84 = w
z + 2.84 = 7
z = 7 - 2.84
z = 4.16
2) 0.8y = z
0.8y = 4.16
y = 4.16 / 0.8
y = 5.2
1) x - 1.05 = y
x - 1.05 = 5.2
x = 5.2 + 1.05
x = 6.25
Hope this helps :)
Answer:
Therefore 
, A=184
Step-by-step explanation:
Given function is
where T(t) is the temperature in °C and t is time in minute and A and k are constants.
She noticed that after 18 minutes the temperature of the pie is 138°C
Putting T(t) =138°C and t= 18 minutes
.....(1)
Again after 36 minutes it is 184°C
Putting T(t) =184°C and t= 36 minutes
.......(2)
Dividing (2) by (1)
Taking ln both sides
Putting the value k in equation (1)
⇒A= 184.
Therefore , A=184
