Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs
1 answer:
Answer:
Step-by-step explanation:
Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.
Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.
Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.
In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then
Note that
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Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So
Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).