Answer: 16x^2 - 9x + 11
Step-by-step explanation:
(5x^2+8x+18)+(11x^2-17x-7)
5x^2+8x+18+11x^2-17x-7
16x^2 - 9x + 11
You will need to find a common multiple of the two. For example:
2: 2, 4, 6
3: 3, 6
The common multple here is 6, so the answer is 6.
Thanks,
Whiiz
Answer:
length= 17.5 m , breadth = 12.5 m
Step-by-step explanation:
The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )
Then
2l + 2b = perimeter ( l is length, b is breadth )
2(7x) + 2(5x) = 60
14x + 10x = 60
24x = 60 ( divide both sides by 24 )
x = 2.5
Then
length = 7x = 7 × 2.5 = 17.5 m
breadth = 5x = 5 × 2.5 = 12.5 m
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
The 90th percentile of the distribution is 6.512 ml.
2 even numbers....x and x + 2
x + x + 2 = 234
2x + 2 = 234
2x = 234 - 2
2x = 232
x = 232/2
x = 116 <===
x + 2 = 116 + 2 = 118 <==