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3 years ago

Francisco wrote the number 3 × 10² in

Mathematics

2 answers:

Dafna1 [17]3 years ago

6 0

Answer:

Francisco turned 3 into 3^2. I know this because 10^2 = 100 and Francisco multiplied 10^2 by 3.

10^2 = 100

100 * 3 = 300

In order for 300 to get to 900, the 3 would have had to have been squared.

3^2 = 9

3^2 * 10^2 = 900

In other words, he got the exponent for 3 wrong.

Bingel [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Francisco mistakenly multiplied 10² by 3². So, he got 100*9=900

Correct answer is: 3 * 10² = 3 * 100 = 300

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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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Step-by-step explanation:

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