Answer:
yes
no
no
Step-by-step explanation:
<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ =
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹() = 75.96° = 76° to the nearest degree
Hope this helps :)
Answer:
For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16.
Step-by-step explanation:
Here, P(x > 40) = 0.16
a). P(x < 40) = 1 - P(x > 40)
= 1 - 0.16
= 0.84
b). P(x < 20) = 1 -
= 1 - {P(20 ≤ X ≤ 40) + P(X > 40)}
= 1 - (0.15 + 0.16 )
= 1 - 0.31
= 0. 69
c). P(x = 40) = 0; The probability that a continuous variable assume a particular value is zero.
Answer:
a = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = <em>a</em>
<em>b</em> = 8
<em>c</em> = 10
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 8² = 10²
- Evaluate exponents: a² + 64 = 100
- [Subtraction Property of Equality] Subtract 64 on both sides: a² = 36
- [Equality Property] Square root both sides: a = 6
Hope this helps :D
(The number or letter written inside is the number of cups)