Answer:
The distance from A to B is 736.2 to the nearest tenth foot
Step-by-step explanation:
In ΔCAB
∵ m∠CAD = 30° ⇒ exterior angle of Δ at vertex A
∴ m∠CAD = m∠ACB + m∠ABC
∵ m∠ABC = 20°
∴ m∠ACB = 30° - 20° = 10°
We will use the sin rule to find the distance AB
∵ 
∴ 
≅ 736.2 to the nearest tenth foot
It would be 26 cents per shell
Answer:
a) 
b) n = 381
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?
When we do not know the proportion, we use 
, which is when we are going to need the largest sample size.
The sample size is n when M = 0.01.
b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?
Now we have that 
. So
Rouding up
n = 381
Answer:
The two numbers are 29 and 18
Step-by-step explanation:
Let x and y be the two numbers
x = 2y-7
x+y = 47
We have two equations and 2 unknowns
Substituting the first equation into the second equation
2y-7+y = 47
Combine like terms
3y -7 = 47
3y-7+7 = 47+7
3y = 54
Divide by 3
3y/3 = 54/3
y = 18
Now find x
x = 2y-7
x = 2*18 -7
x = 36-7
x = 29
The two numbers are 29 and 18
The Cost of a Basic Car: $10,150.00
Options on the Cost of a Basic Car: $738.00
License and Registration Fee: $50.00
Subtotal: $10,938.00
Sales Tax: 0.06
Total: $11,594.28
I notice that I have to add the cost of the car, the option of the car, the license and registration fee, and the sales tax in order to find out the total of what it might cost for all of them. So I calculated it in a receipt form to find of the subtotal and the total of Ray' s cost, which is above the screen.
