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2 years ago

14:48

Mathematics

1 answer:

puteri [66]2 years ago

8 0

11 kilograms of the same dog food costs $69.85.

Step-by-step explanation:

Step 1:

Paris buys 18 kg of dog food for $114.30. The food can be purchased in 1 kg bags.

If she bought the 18 kg of dog food with 1 kg bags, she would have had to buy 18 such bags.

So we need to calculate the cost of a 1 kg bag.

If 18 bags cost $114.30 we divide it by 18 to calculate the cost of 1kg.

The cost of a 1 kg bad $= \frac{114.30}{18} = 6.35.$

So a 1 kg bag of dog food costs $6.35.

Step 2:

To calculate the cost of 11 kg of the same dog food, we multiply the cost of a single bag with the number of bags.

If she were to buy the 11 kg through 1 kg bags, she would need to buy 11 such bags.

The cost of 11 kg of dog food $= (11)(6.35) = 69.85.$

So 11 kg of dog food would cost $69.85.

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3 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

$\sigma = \sqrt{p(1-p)/n}$

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

$\sigma = \sqrt{p(1-p)/n}$

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

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3 years ago

The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected

mel-nik [20]

Answer:

1018.

Step-by-step explanation:

The multiplying factor here is 1 +0.09 = 1.09. Every year the current population figure is multiplied by 1.09. We have 10 years of growth so:

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3 years ago

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NNADVOKAT [17]

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

$\frac{y _{2} - y _{1} }{x _{2} - x _{1} }$

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

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2 years ago