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
If it takes m minutes to play on level, then in 60 minutes, the maximum number of levels you can play is 60 / m. Then, l <= 60/m.
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Answer:
It depends. What kind of math do you do? I do Eureka math so I have a few websites but I don’t know about you
Answer:
5
Step-by-step explanation:
You do 125/25 to find the number of ml of aminophylline. Answer: 5
