Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
Make the x axis seconds and y axis floors. Your first point would be at (0,-2), then (1,3), then (2,8) and so on.
You could scale the axes just going by one
Answer: x-5 / x
Step-by-step explanation:
because…
Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:
To calculate the total interest we need to calculate the interest of each individual account and sum them:
The total interest is the sum of the two expressions above:
The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.
After 14 weeks, both Megan and Conner will have saved the same amount.
Step-by-step explanation:
Amount Megan have = $50
Amount saved each week = $5.50
Amount Conner have = $18.50
Amount saved each week = $7.75
Let,
x be the number of weeks.
According to given statement;
M(x) = 50+5.50x Eqn 1
C(x) = 18.50+7.75x Eqn 2
For amount to be same;
Eqn 1 = Eqn 2
Dividing both sides by 2.25
After 14 weeks, both Megan and Conner will have saved the same amount.
Keywords: functions, division
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