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german
3 years ago
8

Find the missing side

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 -225

b^2 =400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

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Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }

t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093

[15.3 ± 2.093 * \frac{6.8}{\sqrt{20} }]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

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3 years ago
The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.
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Step-by-step explanation:

The midline of the function is

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What triangle does it form ?
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Answer:

Scalene triangle

Step-by-step explanation:

A scalene triangle is a triangle with three different side lengths and angle measures. Since none of the side lengths are the same length, then none of the angle measures are the same either leading the correct answer to be scalene.

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Answer:

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Step-by-step explanation:

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Answer:

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Step-by-step explanation:

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