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2 years ago

Find the slope of (-3,6)(5,-4)

Mathematics

2 answers:

ladessa [460]2 years ago

5 0

Answer:

Slope: -5/4

Step-by-step explanation:

Slope formula: $\frac{y^2-y^1}{x^2-x^1}$

Plug in:

$\frac{-4-6}{5-(-3)}$

Solve:

$\frac{-4-6}{5-(-3)}$

-4 - 6 = -10

5-(-3) = 8

-10 5

----- = - -----

8 4

The answer is -5/4

Hope this helped.

skad [1K]2 years ago

4 0

The answer equivalets the septules so (-3,6)=to 9,-9 n (5,-4) will trepostute the answe to (9,-9)(-5,14)

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2 years ago

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Vika [28.1K]

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2 years ago

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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.

Let $\mu$ = average height of hobbit.

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 One-sample t test statistics 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, test statistics = $\frac{80-66}{\frac{10.8}{\sqrt{7}}}$ ~ $t_6$

= 3.429

The value of t test statistics is 3.429.

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 we reject our null hypothesis.

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