Answer:
=0.1587 or 15.87%
So option A is correct answer so 15.87% of the invoices were paid within 15 days of receipt.
Step-by-step explanation:
In order to find the percent of the invoices paid within 5 days of receipt we have to find the value of Z first.
where:
X is the random varable which in our case is 15 days
u is the mean or average value which is 20 days
S is the standard deviation which is 5 days
Z=-1.0
We have to find Probability at Z less than -1
P(Z<-1.0) which can be written as:
=1-P(Z>1.0)
From Cumulative distribution table:
=1-(0.3413+0.5)
=0.1587 or 15.87%
So option A is correct answer so 15.87% of the invoices were paid within 15 days of receipt.
A + m = 54, m = a + 4 and, a + m = 54, - a + m = 4,
Combine the equations: 2m = 58
Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24
Answer:
The 90% confidence interval for population mean is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The confidence level is 
The sample size is 
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the standardized normal distribution table. The values is 
The reason we are obtaining critical values for instead of that of 
is because represents the area under the normal curve where the confidence level 1 - (90%) did not cover which include both the left and right tail while is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as
substituting values
The 90% confidence level interval is mathematically represented as
substituting values
Hello!
The interior angles of every triangle add to equal 180 degrees. With that, you can add all angle expressions and set them to equal 180 to find x:
180 = 2x + 50 + x + 46 + 3x
180 = 6x + 96
84 = 6x
14 = x
Now, substitute 14 for x in each expression to find the value of each angle:
2x + 50 => 2(14) + 50 => 28 + 50 => 78
x + 46 => 14 + 46 => 60
3x => 3(14) => 42
Let's check our work:
180 ? 78 + 60 + 42
180 = 180 <--True
Angle A = 42 degrees
Angle B = 78 degrees
Angle C = 60 degrees
Hope this helps!
Twelve.
Don't forget to make me brainliest answer.
