You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).
Therefore, since the slopes of lines AB and CD are equal, they are <u>parallel</u>
Absin(c)=area
13x7.5xsin(94)=97.2624...
=97.3
Answer:
2060 cubic inches
Step-by-step explanation:
Volume of first cube plus volume of second cube = total volume needed
11³+9³= 2060
This Question is Incomplete
Complete Question
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
Answer:
Sample size n = 16
Step-by-step explanation:
We use the formula for Margin of Error for the question
Margin of Error = z × Standard deviation/√n
Margin of Error = 1
z score for 99% confidence interval = 2.576
Standard deviation = 100
1 = 2.576 × 100/√n
1 × √n = 257.6
√n = 257.6/1
n = √257.6
n = 16.049922118
Approximately = 16
Therefore, the sample size = 16
Answer:
2 5/14
Step-by-step explanation:
Quotient of ¾ and ½:
¾ ÷ ½ = ¾ × 2 = 3/2
1 ⅘ = 9/5
2 1/7 = 15/7
Their product: 9/5 × 15/7 = 27/7
Difference:
27/7 - 3/2
Lcm: 14
[2(27) - 7(3)]/14
(54-21)/14
33/14
2 5/14
