Answer:
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Step-by-step explanation:
Given that the total cost of manufacturing by the company is $15000.
Let x be the number of gallons the company sells.
It is also mentioned that the company earns $10 on each gallon.
So the total profit will be the the difference of the selling cost of gallons and manufacturing cost
Mathematically,

Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so

The number of gallons can be found by solving the obtained inequality.
Hence,
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Interpretation:
B.
Why?
I think it is B. because you can buy the building blocks first, and then find an educational video about the blocks. I hope this helps!
1 group can be created because if you divide 7 by 4 you will get 1.75 which is 1 group and 3/4 of another so it doesn’t count as a group.
Answer:
The actual SAT-M score marking the 98th percentile is 735.105.
Step-by-step explanation:
Problems of normally distributed samples are 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 actual SAT-M score marking the 98th percentile?
This is the value of X when Z has a pvalue of 0.98. So it is X when Z = 2.055.




The actual SAT-M score marking the 98th percentile is 735.105.
Answer:

Step-by-step explanation:
Given : 
We have to evaluate the sum.
Consider , the given sum 
Apply the sum rule,
we have,

Consider
first,
Applying sum formula,
Here, n = 4, we get,


Now consider 


Therefore, 
Thus, 