If you wanted to make the graph of y=3x+1 steeper, which equation could to use?
1 answer:
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Answer:
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
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:
What is the probability that a randomly selected exam will require more than 15 minutes to grade
This is 1 subtracted by the pvalue of Z when X = 15. So
has a pvalue of 0.3783.
1 - 0.3783 = 0.6217
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
Answer:
After 3 weeks they both will have the same amount in their savings account.
Step-by-step explanation:
Given:
Amount saved by Haley = $155
Amount saved by Hank = $230
Amount saving each week by Haley = $10
Amount spending each week by Hank = $15
We need to find Number of weeks when both both will have same amount in savings account.
Solution:
Let Number of week be 'x'.
Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.
framing in equation form we get;
Total Amount of Haley =
Also;
Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.
framing in equation form we get;
Total Amount of Hank =
Now we need to find the number of weeks when both will have same amount.
To find the same we will have to make both the equation equal.
So we can say.
On Solving above equation we get;
We will combine the like terms together;
Now Dividing both side by 25 using Division property of equality we get;
Hence, After 3 weeks they both will have the same amount in their savings account.