12 subtracted from a is greater than or equal to 17 as a mathematical equation
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The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.
<h3>What is the Surface Area of a Box?</h3>The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.
<h3>What is the Surface Area of a Box?</h3>SA = 2(lw + lh + hw), where:
- l = length
- w = width
- h = height of the box
The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:
The surface area to be covered = surface area of the box - area of the bottom rectangular face
The surface area to be covered = 2(lw + lh + hw) - (l)(w)
l = 26
w = 15
h = 8
Substitute
The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =
The surface area to be covered = 1436 - 390 = 1,046 cm
Area of one tile = 1 cm square
Number of tiles needed = 1,046/1
Number of tiles needed = 1,046 tiles.
Learn more about Surface Area of a Box on:
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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.