There will be 181 seat left once Jeremy and the group seat down
Let
x-------> the width of the rectangular area
y------> the length of the rectangular area
we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2
substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
the length of the rectangular area is at most 45 ft
see the attached figure
the solution is<span> the shaded area</span>
Answer:
False
Step-by-step explanation:
y = -3× - 2
4 = -3(2) - 2
4 = -6 - 2
4 = -8
Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:

Compute the probability that none of the LED light bulbs are defective as follows:


Thus, the probability that none of the LED light bulbs are defective is 0.7374.
Answer: 16%
Step-by-step explanation:
When we have a normal distribution, the 100% of our sample will be placed in a "gaussian bell".
Where the middle of this bell coincides with the mean.
The mean, in this case, is 1200, and the standard deviation is 200.
In the image below you can see that between the points.
Mean + standard deviation and the end of the graph, we have:
13.5% + 2.35% + 0.15% = 16%
And particularly, if we want to know the percentage that exceed 1400, will be the same percentage above the mean plus the standard deviation.
mean = 1200
SD = 200
mean + standard deviation = 1200 + 200 = 1400.
Then the percentage that exceeds 1400 is equal to the percentage that we found above, then the correct option is C: 16%