For this case we can make the following rule of three:
1/4 in ------> 32 ft
9.25 in ----> x
Clearing the value of x we have:
x = ((9.25) / (1/4)) * (32)
x = 1184 feet
Answer:
The length, in feet, of the current cruise ship is:
x = 1184 feet
Answer:
4,096 ways
Step-by-step explanation:
Assuming that all questions have to be answered, there are two ways to answer each of the 12 questions (True or False). The total number of possible answers is given by:
A 12-question true-false exam can be answered in 4,096 different ways.
There are 3300 widgets in each crate.
275 widgets
x 12 boxes
__________________________
3300 widgets in one crate
Hope this helps,
~ Harley Quinn ~
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean salary of all graduates from the English department.
Number of sample, n = 400
Mean, u = $25,000
Standard deviation, s = $2,500
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
25000 ± 1.96 × 2500/√400
= 25000 ± 1.96 × 125
= 25000 ± 245
The lower end of the confidence interval is 25000 - 245 =24755
The upper end of the confidence interval is 25000 + 245 = 25245
Therefore, with 95% confidence interval, the mean salary of all graduates from the English department is between $24755 and $25245
TO write the function into vertex form, we need to add one zero and the solution is shown below:
f(x)= x² -6x +1
Add one zero in the form of -9 and 9, such as:
f(x) = x² -6x +1 -9 +9
f(x) = (x² -6x +9) +(1-9)
f(x) = (x-3)² + (-8)
f(x) = (x-3)² - 8
This is the vertex form of the given function and only one zero is being added.