Find the exact value if x.
1 answer:
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Answer:
Step-by-step explanation:
Given that Elijah threw a ball from a height of 4 feet. The ball reached maximum height of 16 feet after 2seconds
Let vertical component of his speed be v
When it reaches maximum height its velocity becomes 0
Hence
height reached by the ball =
When h=12(16-4) we get g=gravity =32
Hence 12 =2v-16(4)
v=38
Hence
where h is calculated from the height of hand i.e. 4 feet
When it touches the ground h =-4
When it starts falling then distance travelled = 16 feet
Initial velocity =0 Accn due to gracity =32 feet
Using these we can write
So after 3 minutes from start the ball would reach the ground
Answer:
The upper 20% of the weighs are weights of at least X, which is , in which
is the standard deviation of all weights and
is the mean.
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.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
The upper 20% of the weighs are weights of at least X, which is , in which
is the standard deviation of all weights and
is the mean.