Answer:1.32 s
Step-by-step explanation:
Given
The initial height of ball H=2 m
Initial velocity u=5 m/s
Height of ball at any instant is given by

The ball will hit the ground when h=0

840 is the answer
i hope i helped!
Step-by-step explanation: The easiest way to do this and the way I commonly use is to subtract 17 from 89then make it negative as you are making the negative number smaller by adding a smaller number therefore your answer is -72
Answer:
507,409
Step-by-step explanation:
if every 5 days the number quadruples (x4), and we want to know how many acorns fall after 30 days, we can divide 30 by 5 so we only have to calculate for the amount of time the take to quadruple.
30 ÷ 5 = 6
so we only have to quadruple the acorns 6 times.
if we start off with 124 acorns, this is what it will look like:
Day 0: 124 acorns
Day 5: 124 x 4 = 496 acorns
Day 10: 496 x 4 = 1984 acorns
Day 15: 1984 x 4 = 7936 acorns
etc... until day 30.
Day 30: 507904 acorns
I hope this was helpful :-)
Answer:
A person must get an IQ score of at least 138.885 to qualify.
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:

(a). [7pts] What IQ score must a person get to qualify
Top 8%, so at least the 100-8 = 92th percentile.
Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.




A person must get an IQ score of at least 138.885 to qualify.