Answer:
<h2>(-7, 0) and (0, -7)</h2>
Step-by-step explanation:
Draw the graph of x = - y - 7.
Convert to the slope-intercept form (y = mx + b):
x = -y - 7 <em>add y to both sides</em>
x + y = -7 <em>subtract x from both sides</em>
y = -x - 7
This is the straight line equation. We only need two points to plot the graph.
Choose any value of x, put to the equation and calculate the value of y.
for x = 0:
y = -0 - 7 = -7 → (0, -7)
for x = -7:
y = -(-7) - 7 = 7 - 7 = 0 → (-7, 0)
Mark points in the coordinate system and draw a line.
The intersection points of the circle and the line are the solution.
S= savings before she bought the dress s - $55 would be her new balance after she bought the dress.
We could also talk about her savings now (after her purchase). If we let n=now
n + $55 would be her balance before she bought the dress.
Answer:
8
Step-by-step explanation:
2/7 of 21 is 6 1/3 of 21 is 7. 6+7 is 13. 21-13 = 8
the Answer C: 4
Step-by-step explanation:
Using the z-distribution, the p-value would be of:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:
At the alternative hypothesis, we test if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
- .
- .
For the distribution of differences, it is given by:
- .
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2/0.76
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
More can be learned about the z-distribution at brainly.com/question/16313918
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