By using pythagoras theorem where
(Base)^2 +(perpedicular)^2 = (hypotenuse)^2
So,
(5)^2 +(12)^2 = (hypotenuse)^2
25 + 144 = (hypotenuse)^2
169 = (hypotenuse)^2
13 = hypotenuse
So, hypotenuse = 13
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
Option 1 is incorrect
2) For x < 87
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
Option 3 is correct
4) For x < 77
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
The present of 4 out of 30 is 13.33%
The present of 1 out of 30 is 3.33%
The present of 25 out of 30 is 83.33%
<u>Step-by-step explanation:</u>
- The percentage is calculated by dividing the required number with the full quantity and multiplied by 100.
First sum :
Second sum :
Third sum:
Z would have to be 4. Cause it's reverse squared. So 4^-2 would be 1/16 but its 4^-3 so it's 1/64.