Answer:
A
Step-by-step explanation:
Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as <u>normalcdf(-999, 2) = .977</u>
So 97.7% of people had a score lower than Carlos!
.977 * 1.5 million = 1,465,500 people
Step-by-step explanation:
16.................................................
<h3>Given</h3>
- Equation ax² + bx + c = 0
- One of the roots is twice the other
<h3>To find</h3>
<h3>Solution</h3>
Let the roots be p and q
<u>The sum and product of the roots:</u>
<u>The sum of the roots, considering p = 2q,</u>
And
<u>The product of the roots, considering p = 2q:</u>
And
<u>Substitute q with -b/(3a)</u>
- 2(-b/(3a))² = c/a
- 2b²/(9a²) = c/a
- 2b² = 9a²(c/a)
- 2b² = 9ac
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17. .................................................
<h3>Given</h3>
Quadratic equation
- ax² = bx + c = 0, with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>Equal roots means the discriminant is zero:</u>
- D = √b² - 4ac
- √b² - 4ac = 0
- b² - 4ac = 0
- b² = 4ac
The nearest tenth would be the first decimal place, so the answer would be 23.8
Answer:
b
Step-by-step explanation:
8
Answer:
0.034
Step-by-step explanation:
