What is the length of the hypotenuse. If needed round to nearest tenth

3.2 = c

Step-by-step explanation:

We can use the Pythagorean theorem

a^2+ b^2 = c^2

1^2 + 3^2 = c^2

1+9 = c^2

10 = c^2

Take the square root of each  side

sqrt(10) = sqrt(c^2)

3.16227766 = c

To the nearest tenth

3.2 = c

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%