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kherson [118]
3 years ago
7

Which ratio does not belong with the other three? Explain your reasoning. 4/10 2/5 3/5 6/15

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

3/5

Step-by-step explanation:

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d. 5

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.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo
r-ruslan [8.4K]

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 \bar X = 80 cm with standard deviation s = 10.8 cm.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average height of hobbit.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 66 cm      {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, H_A : \mu > 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. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample mean height = 80 cm

             s = sample standard deviation = 10.8 cm

             n = sample of hobbits = 7

So, <u><em>test statistics</em></u>  =  \frac{80-66}{\frac{10.8}{\sqrt{7}}}  ~ t_6

                              =  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.

3 0
4 years ago
The value of Adam's model railway is $550.
garik1379 [7]

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is A_o=\$550

the value increases exponentially with the rate of r\%

Time period t=5\ years

Final amount A=\$736

Exponential growth is given by

\Rightarrow A=A_o(1+r)^t

Putting values

\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338

\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%

Option (c) is correct

6 0
3 years ago
PLS ANSWER QUICK, HELP AND EXPLAIN
Eduardwww [97]

Answer:

C.

Step-by-step explanation:

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