Answer:
The answer should be -1050 because -2100-0/2-0 would equal -1050.
Answer: a) 0.8413, b) 0.9987.
Step-by-step explanation:
Since we have given that
Mean = 3 pounds
Standard deviation = 0.25 pounds
n = 28 bricks
So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
![P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413](https://tex.z-dn.net/?f=P%28X%3E2.75%29%5C%5C%5C%5C%3DP%28z%3E%5Cdfrac%7B2.75-3%7D%7B0.25%7D%5C%5C%5C%5C%3DP%28z%3E%5Cdfrac%7B-0.25%7D%7B0.25%7D%29%5C%5C%5C%5C%3DP%28z%3E-1%29%5C%5C%5C%5C%3D0.8413)
b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
![P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987](https://tex.z-dn.net/?f=P%28X%3E3.75%29%5C%5C%5C%5C%3DP%28z%3E%5Cdfrac%7B3.75-3%7D%7B0.25%7D%29%5C%5C%5C%5C%3DP%28z%3E%5Cdfrac%7B0.75%7D%7B0.25%7D%29%5C%5C%5C%5C%3DP%28z%3E3%29%5C%5C%5C%5C%3D0.9987)
Hence, a) 0.8413, b) 0.9987.
Answer:
x ≈ 83.7
Step-by-step explanation:
You are given a right triangle with the hypotenuse, an acute angle, and the side adjacent to the angle marked. The hypotenuse is unknown. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Filling in the given information, we have ...
cos(48°) = 56/x
x = 56/cos(48°) . . . . . multiply by x/cos(48°)
x ≈ 83.7
Answer:
(5, -8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
5x + 2y = 9
y = -x - 3
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-x - 3) = 9
- [Distributive Property] Distribute 2: 5x - 2x - 6 = 9
- Combine like terms: 3x - 6 = 9
- [Addition Property of Equality] Add 6 on both sides: 3x = 15
- [Division Property of Equality] Divide 3 on both sides: x = 5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x - 3
- Substitute in <em>x</em>: y = -5 - 3
- Subtract: y = -8