The area of a square would me multiplying the width times the length and then multiplying by one half would be like splitting the square in half so your answer would be that last one right there. 6*6= area then multiply by 1/2 = half of area Hope this helps! :D
Answer:
32.10
Step-by-step explanation:
7% = 0.07
30 x 0.07=2.10
30+ 2.10=32.10
Price before Taxes: $ 30.00
+ Sales Tax (7%): $ 2.10
Total Price with Tax: $ 32.10
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
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:
1000 : 269 : 47
Step-by-step explanation:
A ratio is a way of comparing the value or amount of one quantity to another.
We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.
Water : Sucrose : Saline solution
The amount of water is 1 litre (1 * 1000 ml = 1000 ml)
The amount of sucrose is 269 ml
The amount of saline solution is 47 ml
Therefore, the ratio of water to sucrose to saline solution is:
W : S : SS = 1000 : 269 : 47
Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.