Answer:
difference means subtraction operation.
let the number be n :
arrange the equation:
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further more [ getting value of n ]
add 7 on all sides:
divide all sides by 5:
Answer:
the probability is 0.4642 (46.42%)
Step-by-step explanation:
for the events E and F such that
N(E ∩ F) = 250 and N(E) = 560
where N represents the number of elements in that set , we can use the theorem of Bayes for conditional probability .Then representing N total =N(E∪F) , we have that the probability is
P( F|E ) = P (E ∩ F)/ P(E) = [N(E ∩ F) / N total]/ [N(E) / N total ] = N(E ∩ F)/ N(E) = 250/560 = 0.4642 (46.42%)
Answer:
k = 15
Step-by-step explanation:
∵ x² - 8x + k = 0 ⇒ has two roots x1 and x2
∵ ax² + bx + c = 0 has two roots
∴ The sum of roots = -b/a and the product of them = c/a
∵ a = 1 , b = -8 and c = k
∴ x1 + x2 = -(-8)/1 = 8
∴ x1 + x2 = 8 ⇒ (1)
∵ 3x1 + 4x2 = 29 ⇒ (2)
Multiply (1) by -4
∴ -4x1 - 4x2 = -32 ⇒ (3)
Add (2) and (3)
∴ -x1 = -3
∴ x1 = 3
By substituting value of x1 in (1)
∴ 3 + x2 = 8
∴ x2 = 5
∴ The roots are 3 and 5
∴ c/a = 3 × 5 = 15 ⇒ (a = 1)
∴ c = 15
∴ k = 15
<h3>
its must be 2:9</h3><h3>James wins more often.</h3>
i hope that was helpful
~best wishes
Answer:
I
Step-by-step explanation:
-2x + y ≥ 4
-upwards slope, solid line
x + y < 2
-downwards slope, dotted line
