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NeTakaya
3 years ago
8

I’m in the fourth grade and have an algebra problem (416 divided by x = 208). Even though I know the answer, I would like to kno

w the way to move 416 to the other side of the equation to isolate x in the division problem, so I would know how to figure out similar, but more challenging division algebra problems. We have not yet been taught any algebra. I can just tell in this problem that the answer is 2.
Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

416/x = 208

Step-by-step explanation:

the opposite of multiplication is division

so divide both sides by 416

1/x = 208/416

at this point you need to flip both sides

x = 416/208

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Answer:

TU and TS (with arrows on top)

Step-by-step explanation:

The sides of any angle are rays. This are half lines, which in your case both start at the point T, and one goes towards point U, while the other one goes from toward point S. So I would write TU (with a little arrow symbol on top). and in the other box I would write TS also with a little arrow symbol on top.

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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

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The stone would take approximately 10.107 seconds to fall 500 meters.

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<h3><u>Solution:</u></h3>

Given that , The probability of winning a certain lottery is \frac{1}{77076} for people who play 908 times

We have to find the mean number of wins

\text { The probability of winning a lottery }=\frac{1}{77076}

Assume that a procedure yields a binomial distribution with a trial repeated n times.

Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

n=908, \text { probability } \mathrm{p}=\frac{1}{77076}

\text { Then, binomial mean }=n \times p

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Hence, the mean is 0.0118 approximately. So option C is correct.

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