Write an equation in point-slope form for the line that has a slope of 45 and contains the point (−5,−3).
1 answer:
Answer:
y+3=45(x+5)
Step-by-step explanation:
Hi there!
Point-Slope Form:
y-y1=m(x-x1)
Where
y1 stands for the y-coordinate of the point
m stands for the slope of the line
x1 stands for the x-coordinate of the point
In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.
Plug in the values and solve:
y-y1=m(x-x1)
y-(-3)=45(x-(-5)
y+3=45(x+5)
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.
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Answer:
We conclude that the average height of hobbit is taller than Yoda.
Step-by-step explanation:
We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.
From a sample of 7 hobbits, you find their mean height = 80 cm with standard deviation s = 10.8 cm.
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<u><em>Let </em></u><u><em> = average height of hobbit.</em></u>
So, Null Hypothesis, :
66 cm {means that the average height of hobbit is shorter than or equal to Yoda}
Alternate Hypothesis, :
> 66 cm {means that the average height of hobbit is taller than Yoda}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;
T.S. = ~
where, = sample mean height = 80 cm
s = sample standard deviation = 10.8 cm
n = sample of hobbits = 7
So, <u><em>test statistics</em></u> = ~
= 3.429
The value of t test statistics is 3.429.
<em>Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>
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Therefore, we conclude that the average height of hobbit is taller than Yoda.