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3 years ago

12

30 POINTS + BRANLIEST!

2 answers:

shutvik [7]3 years ago

7 0

3+4+5=12 potatoes
probability of first one being yellow is 4/12 reduces to 1/3
without replacement
probability of second being yellow is 3/11

<span>probability of both is : 1/3 * 3/11 = 3/33 = 0.09</span>

andrew-mc [135]3 years ago

4 0

You have 12 potatoes. Your first draw is 2/12
If you get 1 yellow then you have 1 yellow left and 11 to choose from 1/11

The result is 2/12 * 1/11 = 2/132 = 1/66 of picking out the two yellow potatoes.

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2 years ago

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boyakko [2]

Answer:

$z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17$

The p value for this case would be given by:

$p_v =P(z>3.17)=0.00076$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Step-by-step explanation:

Information provided

n=400 represent the random sample taken

X=59 represent number of defectives from the company B

$\hat p=\frac{59}{400}=0.1475$ estimated proportion of defectives from the company B

$p_o=0.1$ is the value to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:

Null hypothesis: $p \leq 0.1$

Alternative hypothesis: $p > 0.1$

The statistic would be given by:

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

Replacing the info given we got:

$z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17$

The p value for this case would be given by:

$p_v =P(z>3.17)=0.00076$

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Step-by-step explanation:

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On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

Vlad1618 [11]

Answer:

Area of parallelogram ABCD=13.05=13 Sq.Units

Step-by-step explanation:

Given;

A(3,6) B(6,5) C(5,1) and D(2,2)

are points for parallelogram

To Find:

Area of Parallelogram ABCD

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By using distance formula we can calculate for each length of parallelogram

But by property of parallelogram

Opposite side are parallel and equal in length

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(Refer the attachment)

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Now ,angle made by parallelogram with plane and it is 90 degree i.e the

Now Area of parallelogram(ABCD)=a*b*sinФ

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Area of parallelogram=3.167*4.123*sin90

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=13.05 sq. units

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