Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Given:
Kristen owns 61 shares of Prince Waste Collection
Kristen owns 45 shares of Nar Heating/Cooling
Number of Shares Value per share Total
Prince Waste
Collection 61 16.59 1,011.99
Nar Heating/
Cooling 45 7.88 354.60
Total 106 1,366.59
If Kristen sells all of her stocks, she will receive a total of $1,366.59
Answer:
8
Step-by-step explanation:
Since the forklift has a maximum capacity of three boxes per trip, simply divide the total number of boxes (23 boxes) by three and round up to the nearest whole unit to find the number of trips required:

Casey had to visit the dock 8 times. He moved three boxes in seven trips and two boxes in one trip.
Answer:
And we can find this probability using the normal standard distribution or excel and we got:
Step-by-step explanation:
For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places.
"
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution or excel and we got:
One <u>possible inequality</u> is:
299m+261j ≥ 1000.
Explanation:
m is the number of cups of milk and j is the number of cups of juice.
Each cup of milk contains 299 mg of calcium. This gives us 299m mg of calcium for m cups of milk drank.
Each cup of juice contains 261 mg of calcium. This gives us 261j mg of calcium for j cups of juice drank.
Together, this would be a total of 299m+261j mg of calcium.
We want to meet or exceed 1000 mg of calcium. This means we could have more than 1000 or equal to 1000; this gives us the inequality symbol "greater than or equal to":
299m+261j ≥ 1000