Answer:
the "acceleration" is -15m/s (it's negative because it is slowing down, not speeding up[it might just be a positive 15m/s if it is called deceleration and not acceleration])
Step-by-step explanation:
30m/s (starting speed)/2 (the number of seconds it took to stop from 30m/s
The option which best describes the meaning of the term theorem is <span><u>B. A conclusion proved by deductive reasoning.
</u>A refers to hypothesis, C to an axiom, and D to a definition. <u>
</u></span>
Answer:
Step-by-step explanation
You must find the common denominator for all of them.
A is correct. 13 x 2 is 26 and 14 x 2 is 28. Therefore, 13/14 is greater than 25/28.
B is not correct. 4 x 5 is 20 and 9 x 5 is 45. 4/9 is actually less than 21/45.
C is not correct. 5 x 2 is 10 and 6 x 2 is 12. 5/6 is actually less than 11/12.
D is not correct. 4 x 5 is 20 and 5 x 5 is 25. 4/5 is actually less than 8/25.
Answer:
The bulbs should be replaced each 1060.5 days.
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:

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.




The bulbs should be replaced each 1060.5 days.
-7 - 3x = 9x(x + 2)
Standard Form:
-9x^2 - 21x - 7 = 0