Answer:
<h2>x = 20</h2>
Step-by-step explanation:
The angles 7x° and (x + 20)° are supplementary angles.
Supplementary angles add up to 180°.
Therefore we have the equation:
7x + (x + 20) = 180
7x + x + 20 = 180 <em>subtract 20 from both sides</em>
8x = 160 <em>divide both sides by 8</em>
x = 20
Step-by-step explanation:
Part A:
Let 
be the number of mittens and 
be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>
Hey there!
B in a slope intercept form equation is the the y intercept. It dictates where the line will cross the y axis, and therefore the line's placement altogether. This is because if there was no y intercept, the line would only be shaped by the slope, and would start at 0.
Hope this helped!
Answer:
The distribution of scores on this final exam is left-skewed.
Step-by-step explanation:
We use the Pearson Mode Skewness to solve this question. It states that:
If the median is higher than the mean, the distribution is left-skewed.
If the median is lower than the mean, the distribution is right-skewed.
If the median is the same as the mean, the distribution is symmetric.
In this problem, we have that:
Median = 74
Mean = 70
Median higher than the mean
So the distribution of scores on this final exam is left-skewed.
Answer:
Ok ill help
Step-by-step explanation:
