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2 years ago

Match the expressions to their solutions or equivalents. -1/9 / (-1/3)

Mathematics

1 answer:

Zepler [3.9K]2 years ago

8 0

The quotient of the given expression is 1/3

<h3>Difference and division of fractions</h3>

Fractions are written as a ratio of two integers

Given the expression below'

-1/9 / (-1/3)

Change the division to multiplication

-1/9 * -3/1

1/9 * 3/1

1/3

Hence the quotient of the given expression is 1/3

Learn more on fractions here: brainly.com/question/78672

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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

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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3 years ago

Could you guys help me out with these problems

timurjin [86]

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3 years ago

What’s the correct answer for this?

jek_recluse [69]

Answer:

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3 years ago

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Ad libitum [116K]

Use photo math or socratic

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3 years ago

What is the fraction eight twentieths in its simplest form?

Nostrana [21]

Both the numerator and denominator are divisible by 4, meaning that when they are both divided by this number they wll be in their simplest form.

e.g. 8/4=2 and 20/4=5

Therefore the simplest form is 2/5

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3 years ago