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3 years ago

What is the slope of the following equation?

Mathematics

1 answer:

777dan777 [17]3 years ago

6 0

Answer: A. -3

Step-by-step explanation: The slope is the coefficent of x, this can be read as -3/1, down 3 over 1.

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Choose all the expressions with accurately written descriptions.

valentina_108 [34]

There are two expressions which do not match with the written descriptions to ist right.

Those are:

1) (4x - 3)^2 - 1: see that the written description does not square the difference of 4x and 3

2) 3(5x^2 + 14x + 7): see that the written description tells that 5 is added to the square ox x, which is not what the expression shows.

The other 4 expressions match with the written descriptions.

So, you can choose those other 4 expressions.

4 0

4 years ago

.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.

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0

4 years ago

Rewrite the equation of the circle (x-2)^2+y^2=3 in general form

Oksi-84 [34.3K]

Step-by-step explanation:

x²+4-4x+y²=3

x²+y²-4x+1=0

4 0

4 years ago

Read 2 more answers

Victor wants to purchase some clothes. He has $76. He buys a pair of jeans for $40, two shirts each at $9 and three pairs of soc

myrzilka [38]

Answer:

お手伝いしたいのですが、わかりません。わかりやすくするために別のフレーズを使用してください。

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following describes the probability distribution below?

7nadin3 [17]

Answer:

Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.

if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean.

8 0

3 years ago

Read 2 more answers