<span>Call x the score on his fifth test. Then the average (arithmetic mean) of the five test will be: (85 + 92 + 82 + 94 + x) / 5. That is equal to (353 + x ) / 5. The teacher said that the new score, x, is 5 points lower than the average, then x = (353 + x) / 5 - 5 . Answer: Markus could use the equation x = (353 - x)/ 5 - 5 (or an equivalent form of it) </span>
A=3 b=5 c=2
x = -b +-sq root(b^2 -4*a*c) / 2a
x = [-5 +-sq root(5^2 -4*3*2)] / 6
x = [-5 +-sq root(25 -24)]/6
x = [-5 +- 1] /6
x1 = -1
x2 = -4/6 = -2/3 = -.66666666666666
Answer:
24-4= 20
4×2= 8
Step-by-step explanation:
4 by 6 is 24 minus 4
6-4 is 2 by 4 is 8
Answer:
A) 0.0107
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 440 seconds and a standard deviation of 40 seconds.
This means that
Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.
This is the p-value of Z when X = 348. So
has a p-value of 0.0107, and thus, the correct answer is given by option A.
Slope = (8+2)/(1 - 3) = 10/-2 = -5
answer
<span> −5 </span>