Answer:
The illustration provided shows the graph
Step-by-step explanation:
Let
x ------> number of times Emma cuts the grass
y ------> hours Emma spends babysitting
it is known that
------> represents the inequality of the scenario
The solution is the shaded region above the solid line where both x and y are positive
The equation for the solid line is represented as 
The slope of the line is negative 
The y-intercept is at the point 
(the y-value when x is zero)
The x-intercept is at 
(the x-value when y equals zero)
therefore
The illustration provided shows the graph
We determine that the true average calorie content as estimated in the sampled population surpasses the actual calorie content. Step-by-step explanation: An article discussed a pilot study where each of the 58 participants was asked to estimate the calorie count of a 12 oz beer known to have 153 calories. The observed sample mean of calorie estimation was 193, with a sample standard deviation of 88. Let
=
true average estimated calorie level within the sampled population. Thus, Null Hypothesis, : 153 calories {indicating that the true average estimated calorie content does not exceed the actual amount}. Alternative Hypothesis, 
: > 153 calories {indicating the true average estimation exceeds the actual}. The appropriate test statistic would be a one-sample t-test statistic, as we lack knowledge of the population standard deviation; Test Statistic = ~t = 
where, sample mean estimated calorie level = 193 calories, s = sample standard deviation = 88, and n = sample size = 58. Therefore, the test statistic = ~t = 3.462. The t-table indicates a critical value of 1.6725 for 57 degrees of freedom at a 0.05 significance level. Since our test statistic of 3.462 > 1.6725, we have sufficient evidence to reject the null hypothesis; thus, affirming that the true average estimated calorie content in the sampled population exceeds the real content.
70%Step-by-step explanation:First, determine how many fixtures are left to install.270-81=189. The fraction representing the work still to be done is the count of fixtures to install divided by the total amount. So, % of work remaining equals 189 divided by 270, which equals 0.7. Converting this to percentage form gives us 0.7 * 100% = 70%.
