Answer:
a. 3(mod 23)
bi d=31 (mod 72)
ii c = 4
iii m = 4
Step-by-step explanation:
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3(x-3)+4=3x-5 This question has how many solutions
1 answer:
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Answer:
<h2>3x + y = b</h2><em>b - </em><em>any real number</em>
Step-by-step explanation:
Parallel lines have the same slope.
We have the equation of a line in the standard form <em>Ax + By = C</em>.
Convert to the slope-intercept form <em>y = mx + b</em>
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
<em>subtract 9x from both sides</em>
<em>divide both sides by 3</em>
Therefore we have the slope <em>m = -3</em>.
Put it to the equation of a line:
<em>add 3 to both sides</em>
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>
<em />
Therefore, we conclude that the average height of hobbit is taller than Yoda.