Marco's painting has an area of 320 square inches. If the width of the painting is 16 inches, what is the length of the length o
2 answers:
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Answer:
The simplified expression for the given expression will be:
c.
Step-by-step explanation:
Given expression:
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒
Combining like terms
⇒
<em>The like terms can be evaluated as</em>
Thus, the simplified expression will be:
⇒
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.