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3 years ago

15

One litre of milk is poured into a cylindrical container of radius 10 cm. Calculate the depth of the milk in cm)to 2 dp. ( take

pi = 3.142)

1 answer:

wel3 years ago

8 0

Answer:

Depth=3.18cm

Step-by-step explanation:

V=πr2h

1LITRE=1000CM3

v=1000cm³

1000cm3=3.142×10²×Depth

Depth= 1000/3.142×100

Depth=3.18cm

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An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects, prior to us

Sindrei [870]

Answer:

$0.06 - 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.027$

$0.06 + 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.093$

The 95% confidence interval would be given by (0.027;0.093)

A. 0.027 to 0.093.

Step-by-step explanation:

Notation and definitions

$X=12$ number of defective.

$n=200$ random sample taken

$\hat p=\frac{12}{200}=0.06$ estimated proportion of defectives

$p$ true population proportion of defectives

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.06 - 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.027$

$0.06 + 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.093$

The 95% confidence interval would be given by (0.027;0.093)

A. 0.027 to 0.093.

6 0

3 years ago

A cereal box is labeled as containing 16 ounces. Suppose the production line manager tests to determine whether the average weig

meriva

Answer:

Lyrics A

Step-by-step explanation:

Problem statement does not mention anything about conditions of the test, so we dont know if the experiment was correctly done, but we know the kind of problem we are facing here is concerning a normal distribution

Then assuming the test was done by knowledgeable people, which means:

- they got correct information from the population

-sample was big enough

- level of confidence was acceptable for the test ( approximately 95 %) - Alternative hypothesis took into account two tails test

-Test was evaluated according to sample size

-And finally calculations were right

Under the above mentioned conditions, they tested the hypotesis H₀ = μ₀ = 16 ounces and they got results that implies the acceptance of such hypothesis (that means the null hypothesis should not be rejected), and the answer is lyrics A

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3 years ago

If 35% people voted for Gary how many people would that be

Mekhanik [1.2K]

35% = .35.

First, you make 35% into a fraction 35/100. Then make it into simplified form.

35 divided by 5 and 100 divided by 5 35/5 = 7 and 100/5 =20.

So,

35%=.35=35/100=7/20

7/20

is your answer

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3 years ago

A test has 40 questions. Denise finished 2\5 of the questions in the first 10 minutes and 1\2 of the total questions in the next

leonid [27]

Answer:

28 questions answered.

Step-by-step explanation:

40(2/5) is 16 questions.

40-16 is 24 questions left.

24(.5) is 12 questions.

16+12 gets you 28 questions.

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3 years ago

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Paraphin [41]

Rearrange the formula given to determine the slope, you will see that in y=mx+b form the slope is -2/3
You now have the slope (m) and two test points. Input those values into y=mx+b and you will have your answer!
I got y=(-2/3)x+(22/3) which I'm quite certain is correct.

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3 years ago