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3 years ago

What is the slope-intercept equation of the line below?

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

Answer:

$Consider points (3,5) and (2,-5) from the graph \\ slope = \frac{( - 5 - 5)}{(2 - 3)} \\ m = 10 \\ in \: relation \: of \: (3,5) \: with \: y = mx + c \\ 5 = (10)(3) + c \\ 5 = 30 + c \\ c = - 25 \\ y = 10x - 25 \\ \frac{y}{5} = 2x - 5$

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3 years ago

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3 years ago

Read 2 more answers

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QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

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4 years ago

PLLLEEEAASSEE HELP ME<br><br> explain how you got the answer

valkas [14]

For # 1, the answer will be 1 because of the exponential rule $a^{0} = 1$ .

#2, the answer is going to be $x^{4}$ because of the exponential rule $a^{-b} = \frac{1}{a ^{b} }$ .

#3. I'm not sure that this could be simplified any further.

#4 To get the answer to this question, we must apply the distributive property, along with the exponential rule $a ^{m} × a ^{n} = a ^{m+n}$ . When we apply these properties, we'll get $- \frac{3}{x^4}$

For the other questions, they all apply the Laws of Exponents.

5 0

3 years ago