Answer:
B. 
Step-by-step explanation:
Cos θ = Adjacent/hypotenuse
Adjacent = 7
Hypotenuse = √(23² + 7²) = √578 = 17√2
Thus:
Cos θ = 
Rationalize
Cos θ = 
Cos θ = 
Cos θ = 
Answer:
They need an additional 54 inches of fabric
Step-by-step explanation:
This can be solved by using the unitary method.
Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.
4 yards of fabric is equal to 144 inches
1 yard of fabric is equal to 144 inches/4= 36 inches
They need an additional 1 1/2 yards of fabric
So multiplying 1 1/2*36= 3/2*36= 3*36/2= 108/2= 54 inches
They need an additional 54 inches of fabric
Answer:
So in the past month Rita earned $18.50
Step-by-step explanation:
2.50 x 6 = 15
3.50 x 1 = 3.50
Answer:
The expected cost of the company for a 3000 tires batch is $120255
Step-by-step explanation:
Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires is 3000p.
Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are
events that partition the whole sample space, and we have a random variable X over the sample space, then
.
So, in this case, we have the following
.
Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.
Finally, note that the cost of the batch would be 40Y+45X. Then

Answer:
$532 approximately
Step-by-step explanation: