Answer:7feet
Step-by-step explanation:
perimeter(p)=54ft
Width(w) +13=Length(L)
Perimeter=2xLength+2xwidth
P=2xL+2xw
L=w+13
54=2(w+13)+2w
54=2w+26+2w
Collect like terms
54-26=2w+2w
28=4w
Divide both sides by 4
28/4=4w/4
7=w
Width =7feet
The relationship between the number of rose plants and the number of roses is proportional
Answer:
$286.80
Step-by-step explanation:
First, find the price after the 150% markup:
478(1.5)
= 717
Now, calculate the price with the 60% discount:
717(0.4)
= 286.8
= $286.80
We know that the 8 represent the squared radius of the circle so to get the radius we should take the square root of 8
the answer is √8 = 2√2
Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that 
The probability that any integrated circuit is defective is 0.01.
This means that 
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So


0.6173 = 61.73% probability that the product operates.