two boxes of apples contain a total of 24 apples. if you halve the number of apples in the first box and add 4 apples to the sec
2 answers:
Answer:
16 in first and 8 in second
Step-by-step explanation:
Let the number of apples be x in the first box then the number in the second box will be 24-x
if we half the number of apples in first box we get
And we add 4 apples in the second box we get
Since the apples in the two boxes were 20 we get
After simplification we get:
x=16
Hence, number of apples in first box were x that is 16
And number of apples in second box were 24-x that is 24-16 is 8
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Answer:
Proportion of the students recalled more than 15 names is 91.77%.
Step-by-step explanation:
We are given that a researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playing the name game, the students were asked to recall as many first names of fellow students as possible.
The mean number of names recalled was 19.41 with a standard deviation of 3.17.
<em>Let X = number of names recalled</em>
SO, X ~ N()
The z-score probability distribution is given by ;
Z = ~ N(0,1)
where, = mean number of names recalled = 19.41
= standard deviation = 3.17
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.
Now, proportion of the students recalled more than 15 names is given by = P(X > 15 names)
P(X > 15) = P( >
) = P(Z > -1.39)
= P(Z < 1.39) = 0.9177 {using z table}
<em>Therefore, proportion of the students recalled more than 15 names is </em><em>91.77%.</em>