Since we are given the mean μ = .80, and standard deviation σ = 5, we compute first the corresponding z scores of x₁ = .70 and x₂ = .80.
The formula for z score is z = (x-μ)/σ.
z₁ = (.70-.80)/5 = -0.02
z₂ = (.80-.80)/5 = 0
Then, using a z table, we find the probability of the corresponding z scores.
For z₁, it is 0.4920 and for z₂ it is 0.5000. (If you notice, x=μ, its probability will always be 0.5000).
We then find the difference between the two probabilities in order to find the percentage of students that earned <span>a score between 70% and 80%
0.5000 - 0.4920 = 0.008 = 0.8%
Only 0.8% of students earned a score between 70% and 80%.</span>
Usually the one with the more vertical line would be steeper.
Using the Pythagorean Theorem, it is found that the unknown side length of the triangle is of 7.9 cm.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs and of a right triangle with the length of the hypotenuse h, according to the following equation:
Researching this problem on the internet, we have that:
- The unknown side length is of a leg of x.
- The other leg is of 9 cm.
- The hypotenuse is of 12 cm.
Hence:
x² + 9² = 12²
x = sqrt(12² - 9²)
x = 7.9 cm.
The unknown side length of the triangle is of 7.9 cm.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
#SPJ1
Answer:13
Step-by-step explanation:4 plus -3 is 1 because if there are one + and one-, the - will take over. Secondly, -2 times -6 is 12 because when two negatives multiply or divide the answer will always be opositive. Lastly, 1+12 is 13.