Answer:
a.0.8664
b. 0.23753
c. 0.15866
Step-by-step explanation:
The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between
a. N164.50 and N185.50?
b. greater than N180.00?
c. less than N168.00?
We solve the above question using z score formula
z = (x-μ)/σ/√n where
x is the raw score,
μ is the population mean = N175
σ is the population standard deviation = N42
n is random number of sample = 36
a. Between N164.50 and N185.50?
For x = N 164.50
z = 164.50 - 175/42 /√36
z = -1.5
Probability value from Z-Table:
P(x = 164.50) = 0.066807
For x = N185.50
z = 185.50 - 175/42 /√36
z =1.5
Probability value from Z-Table:
P(x=185.50) = 0.93319
Hence:
P(x = 185.50) - P(x =164.50)
= 0.93319 - 0.066807
= 0.866383
Approximately = 0.8664
b. greater than N180.00?
x > N 180
Hence:
z = 180 - 175/42 /√36
z = 5/42/6
z = 5/7
= 0.71429
Probability value from Z-Table:
P(x<180) = 0.76247
P(x>180) = 1 - P(x<180) = 0.23753
c. less than N168.00?
x < N168.
z = 168 - 175/42 /√36
z = -7/42/6
z = -7/7
z = -1
Probability value from Z-Table:
P(x<168) = 0.15866
Answer:
111 boxes
Step-by-step explanation:
He bought 223 feet of wood
Each box will take 2 feet
To determine the total number of box he'll make from 223,
1 box = 2 feet of wood
X box = 223 feet of wood
X = (223 × 1) / 2
X = 111.5 box approximately 112 boxes
But technically, since its 111.5, he'll be able to make 111 boxes completely with 0.5 feet of wood left
Answer:
The percentage of the variability in plant weight is NOT explained by height is
%
Step-by-step explanation:
From the question we are told that
The correlation between height and weight is 
Generally the R-Squared between height and weight is mathematically represented as
substituting values
This R-Squared tells us the percentage of plant weight is accounted by height
and from the calculation we see that it is 56.3%
Now the percentage of plant weight that is not accounted by height is
%
Answer:
r > -178
Step-by-step explanation:
Solving the equations means to find what "r" can be for the equation to be true.
If the sign < confuses you, you can always write = then change it back.
<u>To find "r", we need to isolate it</u>. To do this, we move "r" to the left side, and every other number to the right side. When you move something to the other side, remember you need to <u>do the reverse operation on both sides</u>.
I want to move -195 first. The opposite is +195.
-17 < -195 - r
-17 + 195< -195 + 195- r Add 195 to both sides. 195 cancels out on the right
-17 + 195 < -r Simplify left right by add 195 to -17
178 < -r The opposite of multiply by -1 is divide by -1.
178/-1 < -r/-1 Divide both sides by -1.
178/-1 < r "r" is isolated now. Simplify left side
-178 < r Answer is found. Put variable on left side. Remember the keep the open side of the symbol facing "r".
r > -178 The solution is when "r" is greater than -178.
Price for a radio = $ 40 for supply 90 radios in a month.
Ratio of increase in price to the number of radios supplies in a month 4:8 that is 1:2.
New unit price given = $76.
Difference in unit price given in starting and New unit price = 76-40=$36
So, increase in unit price = $36.
Let us assume number of supplied increased = x radios for increase in unit price $36.
So, we can setup a perportion as,
1/2 = 36/x.
On cross multiplication, we get
1*x = 2*36
x= 72.
So, 72 is the increased number of radios in 90 radios.
That is 72+90 = 162 radios each month.
Therefore, 162 radios are supplied if their per unit price is $76.
