NEED HELP ASAP I WILL RATE 5 STARS

Mathematics

1 answer:

masha68 [24]3 years ago

5 0

Answer:

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

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A room contains 5 cats and 2 dogs if the ratio is 5 to 2 the rate can be expressed as 5 cats 2 dogs

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What's the question being asked here?

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3 years ago

a boat can travel 30 miles upstream in the same amount of time you can travel 50 miles Downstream. If the speed of the current i

almond37 [142]

Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S

Let the speed of boat in still water be x mph

Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles

Time taken in both distances is equal.
Therefore,

30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph

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4 years ago

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Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.

cupoosta [38]

Answer:

There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.

There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.

Probability = 16 / 2704 = 1 / 169

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3 years ago

If 12 1/2% of a sum of money is $40, what is the total sum of money?

GarryVolchara [31]

Answer:

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Step-by-step explanation:

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The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor

nadya68 [22]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

Previous concepts

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".

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: