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3 years ago

Please help and explain

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

Comment
The two triangles (ABC and ADE) can be shown to be similar (which I'll do below). Their corresponding parts are also similar.
Step One
Prove Similarity.
A is common to both triangles Construction
<ABC = <ADE Given as right angles.

By the AA Theorem both triangles are similar.

Step Two
Find x

AD is to AB as DE is to x
AD = 3 + 4 = 7
AB = 3
DE = 6
7 / 3 = 6/x Cross multiply
7x = 3 * 6
7x = 18 Divide by 7
x = 18/7
x = 2.571 <<<<< answer

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2 years ago

Pls halp list four nonzero multiples of 2 6 9 12 25 90

Simora [160]

Multiples of 2: 2,4,6,8

Multiples of 6:6,12,18,24

Multiples of 12:12,24,36,48

Multiples of 25:25,50,75,100

Further explanation:

A multiple is a number that is obtained by multiplying an integer with that number.

We have to find multiples of given numbers:

So,

1. Multiples of 2

$Four\ non-zero\ Multiples\ of\ 2: 2,4,6,8$

2. Multiples of 6

$Four\ non-zero\ Multiples\ of\ 6: 6,12,18,24$

3. Multiples of 12

$Four\ non-zero\ Multiples\ of\ 12: 12,24,36,48$

4. Multiples of 25

$Four\ non-zero\ Multiples\ of\ 25: 25,50,75,100$

Keywords: Multiples, Non-zero multiples

Learn more about multiples at:

#LearnwithBrainly

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3 years ago

Of 580580 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compa

Lubov Fominskaja [6]

Answer:

a) The 99% confidence interval would be given (0.204;0.296).

b) We have 99% of confidence that the true population proportion of all seafood sold in the country that is mislabeled or misidentified is between (0.204;0.296).

c) No that's not true. Because the necessary assumptions and conditions for the confidence interval for the proportion are satisifed, so then we can use inferential statistics to interpret the interval to the population of interest.

Step-by-step explanation:

Part a

Data given and notation

n=580 represent the random sample taken

X represent the seafood sold in the country that is mislabeled or misidentified by the people

$\hat p=0.25$ estimated proportion of seafood sold in the country that is mislabeled or misidentified by the people

$\alpha=0.01$ represent the significance level (no given, but is assumed)

p= population proportion of seafood sold in the country that is mislabeled or misidentified by the people

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

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

The confidence interval would be given by this formula

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

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.25 - 2.58 \sqrt{\frac{0.25(1-0.25)}{580}}=0.204$

$0.25 + 2.58 \sqrt{\frac{0.25(1-0.25)}{580}}=0.296$

And the 99% confidence interval would be given (0.204;0.296).

Part b

We have 99% of confidence that the true population proportion of all seafood sold in the country that is mislabeled or misidentified is between (0.204;0.296).

Part c

A government spokesperson claimed that the sample size was too small, relative to the billions of pieces of seafood sold each year, to generalize. Is this criticism valid?

No that's not true. Because the necessary assumptions and conditions for the confidence interval for the proportion are satisifed, so then we can use inferential statistics to interpret the interval to the population of interest.

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3 years ago

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.

umka21 [38]

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3 years ago

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malfutka [58]

Answer:

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Step-by-step explanation:

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3 years ago