Answer:
0.2
Step-by-step explanation:
Given that:
P(particleboard with excessive bark) = 0.15
The P(that particleboard do not have excessive bark) = 1 - 0.15
i.e the population proportion number of success p = 0.85
The sample size (n) is given to be = 1000
To find the P(X ≥ 860)
Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.
The population mean 
The population standard deviation 
Let X be the random variable which obeys a normal distribution;
Then;
P(X ≥ 860) = P(Z ≥ 0.8856)
P(X ≥ 860) = 1 - P(Z ≤ 0.8856)
From z table
P(X ≥ 860) = 1 - 0.8122
P(X ≥ 860) = 0.1878
P(X ≥ 860) 
0.2
Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2
Answer:
54mph
Step-by-step explanation:
To find the speed in "miles per hour" or miles/hour, divide the number of miles by number of hours.
1080 miles/20 hours
= 54miles/hour
His speed is 54 miles per hour.
Answer:
-12
Step-by-step explanation:
4y=4*(-3) 4*(-3)=-12
Answer:
68.7625
Step-by-step explanation:
49.0625+19 = 68.0625
68.0625+0.7 = 68.7625
Answer:
Step-by-step explanation:
h = -5t^2 - 6t + 44
I'll assume 0 meters is the ground height. That would mean we want to know the time, t, for h to be = 0 meters:
h = -5t^2 - 6t + 44
0 = -5t^2 - 6t + 44
5t^2 + 6t -44 = 0
Solve using the quadratic equation: 2.43 and - 3.63 seconds. We'll use the positive value: 2.43 seconds for the ball to reach the ground. Save the -3.63 value for the Klingons.
We can also solve by graphing the function, as per the attached image. Note that the starting time of 0 seconds, the ball is at 44 feet. It reaches the x axis at 2.43 seconds (where x = 0, the ground).
