Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
Answer:
<h2>12</h2>
Step-by-step explanation:
Hi!
Here is your answer,
I will explain in step by step,

Here we can simplify this further using this law,

So we will get,

Since the powers are same we can cancel it out and we will get,

(Hope this answer helped :))
Answer & Step-by-step explanation:
Since we use 5 parts blue and 3 parts red, the total sections is 8.
28/8 = 3.5
We want to find the red which is 3 parts.
3.5 * 3 = 10.5.
Your answer should be 10.5 pints of red.
Hope this helps!
Answer:
53/243
Step-by-step explanation:
there you go!