The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.
1 answer:
Answer:
307 paces
Step-by-step explanation:
First, lets convert Robert's pace to metres. (cm > m)
75cm = (75/100)m
= 0.75m
Number of Full Paces = Length of Bridge / 1 Full Pace
=
See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.
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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.
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is
When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,
. In other words, drawing a spade is independent of having drawn the heart first.
So the probability of drawing a heart, replacing it, then drawing a spade is
.
When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,
So the probability of drawing a heart, replacing it, then drawing a spade is