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anzhelika [568]

2 years ago

5

If the profits in your consulting business increase by 6% one year and decrease by 3% the following year, your profits are up

by 3% over two years

1 answer:

Naddika [18.5K]2 years ago

3 0

Answer:

its 1.388 p

Step-by-step explanation:

i hope this helps

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Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 6.

Temka [501]

Answer:

The probability of getting sum of two dice is less than six

P(E) =0.25

Step-by-step explanation:

<u><em>Step(i):-</em></u>

The total number of cases n(S) = 6² = 36

Let 'E' be the event of getting sum of two dice is less than six

{(1,2) , (1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)}

n(E) =9

<u><em>Step(ii):-</em></u>

The probability of getting sum of two dice is less than six

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{9}{36} = \frac{1}{4}$

P(E) = 0.25

6 0

2 years ago

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

Ahat [919]

Answer:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

$\hat p=\frac{21}{100}=0.21$ estimated proportion of overfilled bags

$p_o=0.15$ is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

Null hypothesis: $p =0.7$

Alternative hypothesis: $p > 0.15$

The statistic for this case is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

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