Answer:
The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.
Step-by-step explanation:
let x = cashews
let y = peanuts
x + 2y = 10 - rosa's purchase
2x + y = 11 - sabrina's purchase
subtract 2x to isolate 'y'
y = 11 - 2x
x + 2(11 - 2x) = 10
x + 22 - 4x = 10 (Use the distributive property.)
-3x = -12
x = 4.00
Plug this into the original equations to find "y"
2(4) + y = 11
8 + y = 11
y = 3
4 + 2y = 10
2y = 6
y = 3
the solutions are: x = 4. y = 3.
Answer:
a) P(X≥6) = 0.9614
b) P(7≤ X ≤9) = 0.628
c) P(X≤5) = 0.0386
Step-by-step explanation:
This can be solved using the binomial distribution formula:
P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ
Where p = probability of success
q = probability of failure = 1-p
n = number of trials
x = number of successful trials
We have p = 70% = 0.7
n = 12
a) Find the probability that the number who disapprove of smoking pot daily is no less than 6 i.e. P(X≥6). This can be calculated as:
P(X≥6) = 1 - P(X<6)
= 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [¹²C₀ (0.7)⁰(0.3)¹² + ¹²C₁ (0.7)¹(0.3)¹¹ + ¹²C₂ (0.7)²(0.3)¹⁰ + ¹²C₃ (0.7)³(0.3)⁹ + ¹²C₄ (0.7)⁴(0.3)⁸ + ¹²C₅ (0.7)⁵(0.3)⁷]
= 1 - (0.000000531 + 0.0000148 + 0.0001909 + 0.00148 + 0.00779 + 0.02911)
= 1 - 0.0386
P(X≥6) = 0.9614
b) P(7≤ X ≤9) = P(X=7) + P(X=8) + P(X=9)
= ¹²C₇ (0.7)⁷(0.3)¹²⁻⁷ + ¹²C₈ (0.7)⁸(0.3)¹²⁻⁸ + ¹²C₉ (0.7)⁹(0.3)¹²⁻⁹
= 0.158 + 0.231 + 0.239
P(7≤ X ≤9) = 0.628
c) P(X≤5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)
= ¹²C₀ (0.7)⁰(0.3)¹² + ¹²C₁ (0.7)¹(0.3)¹¹ + ¹²C₂ (0.7)²(0.3)¹⁰ + ¹²C₃ (0.7)³(0.3)⁹ + ¹²C₄ (0.7)⁴(0.3)⁸ + ¹²C₅ (0.7)⁵(0.3)⁷
P(X≤5) = 0.0386
2,3,6 because 2 and 3 cant equal 6
Answer:
x = -175
Step-by-step explanation:
Step 1: Define
h(x) = -25
h(x) = 1/5x + 10
Step 2: Substitute and Evaluate
-25 = 1/5x + 10
-35 = 1/5x
x = -175
It depends on the question given, for example
you can do distributive property will multiplying.
Example 1:
there is two ways on doing distributive property.
I can do 4(8+3)
add 8+3 since it is inside the parenthesis which equals = 11 then multiply the outside on what you added. 4x11= 44
example 2: I can also do it another way. 4(8+3) distribute the 4 by multiplying the 4 with both numbers. 4x8 and 4x3 which equals 32, and 12. add 32+12=44
so either way you will get the same answer. hope I helped.