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Bezzdna [24]
2 years ago
12

Linear Inequality Systems Graphically

Mathematics
1 answer:
faltersainse [42]2 years ago
6 0

Answer:

SNITCHY SNATCH

Step-by-step explanation:

I actually don't know how to show how to graph it. Sorry. But I can give a few coordinates. For y < 1/3x + 3: (-1,2 2/3) (0,3) (1,3 1/3). For y > -2/3x - 3: (-1,-2 1/3) (0,-3) (1,-3 2/3).

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is
Volgvan

Answer:

Null Hypothesis, H_0 : \mu \geq 430 gram   {means that the machine is not under filling the bags}

Alternate Hypothesis, H_A : \mu < 430 gram   {means that the machine is under filling the bags}

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting.

It is believed that the machine is under filling the bags. A 21 bag sample had a mean of 429 grams with a variance of 289.

<u><em>Let </em></u>\mu<u><em> = mean weight bag filling capacity of machine.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 430 gram   {means that the machine is not under filling the bags}

Alternate Hypothesis, H_A : \mu < 430 gram   {means that the machine is under filling the bags}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean = 429 grams

             s = sample standard deviation = \sqrt{289} = 17 grams

             n = sample of bags = 21

So, <u><em>test statistics</em></u>  =  \frac{429-430}{\frac{17}{\sqrt{21} } }  ~ t_2_0   

                               =  -0.269

<em>Now at 0.01 significance level, the t table gives </em><u><em>critical value of -2.528 at 20 degree of freedom</em></u><em> for left-tailed test. Since our test statistics is higher than the critical value of t as -0.269 > -2.528, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the machine is not under filling the bags.

3 0
2 years ago
A rectangular plot of land has an area of 9/10 square mile. The length is 3/2 miles. What is the width?​
jek_recluse [69]

Answer:

\frac{3}{5}

Step-by-step explanation:

The question is simple. All we have to do is divide \frac{9}{10} by \frac{3}{2}. The answer to that is \frac{3}{5}.

8 0
3 years ago
Read 2 more answers
I need help with this!
AleksAgata [21]

9514 1404 393

Answer:

  64.6

Step-by-step explanation:

One standard deviation is 4.3. Then +2 standard deviations is ...

  (+2)(4.3) = +8.6

This amount added to the mean gives ...

  56 +8.6 = 64.6 . . . . +2σ from the mean

5 0
2 years ago
If Rita receives $45.34 interest for a deposit earning 4% simple interest for 160 days, what is the amount of her deposit? (Roun
vovangra [49]

Answer:

6.4

Step-by-step explanation:

5 0
3 years ago
The value of πPhone stock has increased 9% each year for the past several years. In 2020, the stock was worth $75. What will the
Iteru [2.4K]

Answer:

2027 = $122.25

2016 = $48

Step-by-step explanation:

Find 1% of 75

75 / 100 = 0.75

multiply by 9

0.75 * 9 = 6.75

So that's $6.75 each year

Now, lets find our answers for 7 years.

6.75 * 7 = $47.25

75 + 47.25 = $122.25

<u>The stock will be $122.25 in 2027</u>

Now for 2016.

$6.75 * 4 = $27

$75 - $27 = $48

<u>The stock was $48 in 2016</u>

4 0
2 years ago
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