Answer:
x - the number of 5 points worth problems
y - the number of 2 points worth problems
The test has 29 problems.
Step-by-step explanation:
x - the number of 5 points worth problemsy - the number of 2 points worth problemsThe test has 29 problems.The test is worth 100 points.The system of equations:The solution:There are 14 problems worth 5 points and 15 problems worth 2 points.
x - the number of 5 points worth problems
y - the number of 2 points worth problems
The test has 29 problems. hope this helps
Answer:
Step-by-step explanation:
Yes
Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use 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.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that 
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So



has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
<span>5<span>(<span>3+4</span>)</span></span><span><span><span>
(5)</span><span>(7)</span></span></span><span>
So, 35 would be your answer.
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