Answer:
9
Step-by-step explanation:
a^2 +b
Let a = -2 and b = 5
(-2)^2 +5
Exponents first
4 +5
Then add
9
Answer:
x=3X 2 + 5x -6
Step-by-step explanation:
3X2 + 5X-6= 3X2 + 5X 6
X=3X2 +5X -6
Answer:
<u>They are perpendicular</u>
Step-by-step explanation:
Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.
Parallel lines have the same slope.
Neither is when the lines do not follow either of these definitions.
The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>
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Answer:
A sample size of 79 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
The margin of error is:
95% confidence level
So , z is the value of Z that has a pvalue of , so .
What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?
A sample size of n is needed.
n is found when M = 0.09. So
Rounding up to the nearest whole number.
A sample size of 79 is needed.
Answer:
slope = and - , perpendicular
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x + 11 is in this form with m =
Rearrange 7x + 3y = 13 into this form
subtract 7x from both sides
3y = - 7x + 13 ( divide all terms by 3 )
y = - x + ← in slope- intercept form
with m = -
• Parallel lines have equal slopes
• The product of perpendicular slopes = - 1
The lines are not parallel since slopes are not equal
× - = - 1
Hence lines are perpendicular