Answer:
B) x = (-5 + √10)/3 and (-5 - √10)/3 is the answer.
Step-by-step explanation:
3x² + 10x + 5 = 0
a = 3
b = 10
c = 5
Finding the Discriminant (D),
D = b² - 4ac
D = 10² - 4 × 3 × 5
D = 100 - 60
D = 40
√D = 2√10
Using quadratic formula,
x = (-b ± √D)/2a
x = (-b + √D)/2a
x = (-10 + 2√10)/2 × 3
Taking out the common factor 2,
x = (-5 + √10)/3
Similarly,
x = (-b - √D)/2a
x = (-10 - 2√10)/2 × 3
x = (-5 - √10)/3
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
Answer: the probability that a selected cup will be overfilled is 0.16
Step-by-step explanation:
Since amount of hot chocolate dispensed by a hot chocolate machine is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount of hot chocolate dispensed by a hot chocolate machine.
µ = mean
σ = standard deviation
From the information given,
µ = 16.0 oz
σ = 2 oz
We want to find the probability that a selected cup will be overfilled. Since the cup can hold 18.0 oz, the expression would be
P(x > 18) = 1 - P(x ≤ 18)
For x = 18,
z = (18 - 16)/2 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x > 18) = 1 - 0.84 = 0.16
Dealer incentive : A corporate sales strategy in which the price a dealer has to pay a manufacturer for a particular product is reduced, allowing the dealer to make a higher profit.
so ur answer is : Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000.
Answer:
∡3 = ∡CET
∡3 = ∡TEC
