I pretty sure the answer is 134217728000000000000/17
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Answer:
x=7
step-by-step explanation:
5(2x+10) =3×40
10x + 50 = 120
10x =120-50= 70
x = 70/10= 7
-10(-12+30)
-10 multiplied by 18
-180
Answer:
(12, -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>
</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>
-4x = y - 42
x = 18 + y
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: -4(18 + y) = y - 42
- Distribute -4: -72 - 4y = y - 42
- [Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
- [Addition Property of Equality] Add 42 on both sides: -30 = 5y
- [Division Property of Equality] Divide 5 on both sides: -6 = y
- Rewrite/Rearrange: y = -6
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = 18 + y
- Substitute in <em>y</em>: x = 18 - 6
- Subtract: x = 12
