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abruzzese [7]
3 years ago
13

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began t

o melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.
Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer:

s = 2t

Step-by-step explanation:

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

2 inches = 1 hour

10 inches = x hour

2x = 10

x = 10/2

x = 5

Creating an equation

S ∝ t

S = kt

k = s/t

k = 2/1

k = 2

The equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling is

S = 2t

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Complete Question

fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 45 hours. Test the hypothesis that mean is 700 hours against the alternative hypothesis that the mean is not equal to 700 hours, if a random sample of 30 bulbs has an average life of 688 hours. Use a P-value in your answer.

Solution

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

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