Kendra washes windows in an office building. She washes 25 of the windows on Monday. She washes 13 of the windows on Tuesday. Wh
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First, fint the roots of the equation
1.
2. You can see that this equation has two different real roots. Note that you can make this statement without finding roots, only knowing the value of discriminant: since D=81>0, then the equation has two different real roots.
A) the probability is 0.123 or 12.3%.
B) the probability is 0.8589 or 85.89%.
C) the normal distribution can be used even though the sample is small because the population the sample is taken from is normally distributed.
Explanation
A) We first find the z-score that corresponds with this value.
Using a z-table (http://www.z-table.com) we find 1.16; this corresponds to a probability of 0.8770. However, This is the probability that a number will be lower than this; since we want the probability that the value is higher, we subtract from 1:
1-0.8770 = 0.123.
B) To find the probability of a sample mean, we use the formula
Looking in our z-table we see that this corresponds with 0.1611. Again, however, this is the area left of this value, which is the probability below; we want the probability above, so we subtract from 1:
1-0.1611 = 0.8589
B) the probability is 0.8589 or 85.89%.
C) the normal distribution can be used even though the sample is small because the population the sample is taken from is normally distributed.
Explanation
A) We first find the z-score that corresponds with this value.
Using a z-table (http://www.z-table.com) we find 1.16; this corresponds to a probability of 0.8770. However, This is the probability that a number will be lower than this; since we want the probability that the value is higher, we subtract from 1:
1-0.8770 = 0.123.
B) To find the probability of a sample mean, we use the formula
Looking in our z-table we see that this corresponds with 0.1611. Again, however, this is the area left of this value, which is the probability below; we want the probability above, so we subtract from 1:
1-0.1611 = 0.8589
Answer:
Step-by-step explanation:
We are given that
Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius
We have to find the function that gives the temperature difference in degrees Celsius D(t).
We know that
Substitute the values
This is required function that gives the temperature difference in degrees Celsius.