Answer:
44 dollars
Step-by-step explanation:
if one super-size gronola bar costs $4
Then 11 x 4 = 44
What the statement means is that x^2 + kx + 2k = 0 when x = -3. That's because x + 3 will equal zero
(-3)^2 + (-3k) + 2k = 0
9 - 3k + 2k =0
9 - k = 0
9 = k
Check
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x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
These are the two factors. As expected from the givens one of them is (x + 3)
Maybe if multiply 80 by 3 so you can find one of the answer then do it algebraic
Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
3*24=72
72oz then convert into pounds
Which is 4.5 pounds.