4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi
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19 small mowers and 11 large mowers are sold
<em><u>Solution:</u></em>
Let "a" be the number of small mowers sold
Let "b" be the number of large mowers sold
Cost of each small mower = $ 249.99
Cost of each large mower = $ 329.99
<em><u>30 total mowers were sold</u></em>
Therefore,
a + b = 30
a = 30 - b ------------- eqn 1
<em><u>The total sales for a given year was $8379.70</u></em>
<em><u>Thus we frame a equation as:</u></em>
number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70
249.99a + 329.99b = 8379.70 ---------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
249.99(30 - b) + 329.99b = 8379.70
7499.7 - 249.99b + 329.99b = 8379.70
80b = 8379.70 - 7499.7
80b = 880
Divide both sides by 80
b = 11
<em><u>Substitute b = 11 in eqn 1</u></em>
a = 30 - 11
a = 19
Thus 19 small mowers and 11 large mowers are sold
Answer:
a
The 90% confidence interval is
b
Confidence interval for the population men between <u>$52561.13</u> up to <u>$57540.8</u>
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
Given that the confidence level is 90% then the level of confidence is mathematically represented as
Next we obtain the critical value of from the normal distribution table the values is
Generally the margin of error is mathematically represented as
substituting values
The 90% confidence interval is mathematically evaluated as
substituting values