Step-by-step explanation:
x-4+3x+100=180
4x+96=180
4x=84
x=21
Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
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?

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Hence, a) 0.8413, b) 0.9987.
Answer:
63 days
Step-by-step explanation:
Answer:
The value 10 years is the population mean
Step-by-step explanation:
A sample consists of some observations drawn from the population, so a part or a subset of the population which in this case is the number of horses with colic.
A sample mean is the mean of the statistical samples while a population mean is the mean of the total population.
Thus, in this case, the sample mean is the mean age of the horses with colic while the population mean age is the mean age of all the horses found at the clinic.
Therefore, the mean age of 10 of the horses seen at the clinic would be the population mean.