Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ± ) / 2a
= ( - 14 ± ) / 2
= ( - 14 ± ) / 2
= ( - 14 ± ) / 2
x = or x =
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5
<h2>
The all roots are equation are 1, - 1 and - 2.</h2>
Step-by-step explanation:
The given cubic polynomial:
k(x) = + 2 - x -2
To find, the all roots are + 2 - x -2 = ?
∴ k(x) = + 2 - x -2
⇒ + 2 - x -2 = 0
⇒ (x + 2) - 1(x + 2) = 0
⇒ ( - 1)(x + 2) = 0
⇒ - 1 = 0 and x + 2 = 0
⇒ - 1 = 0
⇒ = 1
⇒ x = ± 1 = 1, - 1
or, x + 2 = 0
⇒ x = - 2
Thus, the all roots are equation are 1, - 1 and - 2.
Answer:
The probability of getting two consumers comfortable with drones is 0.3424.
Step-by-step explanation:
The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.
A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.
To compute the probability of getting two consumers comfortable with drones followed by three consumers not comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.
This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.
So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.
Compute the probability of getting two consumers comfortable with drones as follows:
Thus, the probability of getting two consumers comfortable with drones is 0.3424.
Answer:
b, a, c
Step-by-step explanation:'
The side opposite of the smallest angle(50) is always the smallest, which means b is the smallest
Hope this helps!
Causation conclusion can only be made when the experiement is preformed. Due to the potential confounding variables in observational studies which include random samples.