Answer:
The sum is 10s^2t-5st^2. With two separate sections, it is a binomial, and since the sum of the powers of the variables is 2+1=3, it has a degree of 3.
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.
Answer:
3(x+2)
Step-by-step explanation:
Answer:
48 ≥ 4x + 2y
44 ≥ 2x + 2y
First, we will look at assembling hours.
"The standard model requires 4 hours to assemble [<em>and</em>] the artisan model requires 2 hours to assemble"
We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.
48 = 4x + 2y
Lastly, they do not <em>need</em> to make that many, but they <em>can</em> so we will use greater than or equal to.
48 ≥ 4x + 2y
Now let us look at finishing hours.
"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."
We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.
44 = 2x + 2y
Again, they do not <em>need</em> to make that many, but they <em>can</em> so we will use greater than or equal to.
44 ≥ 2x + 2y
Answer:
See explanation below
Step-by-step explanation:
Margo needs to blow up 119,854 balloons.
120,000 - 146 = 119,854
A marathon is 26 miles.
40 minutes is equivalent to 0.67 hours
(26 miles) / (0.67 hours) = 38.8 mph
