We are given the vertex of a parabola equal to (4, 0) and that the passes the point (6,1). In this case, it is assumed from the given that the parabola is facing upwards. In this case, the equation is (y-k) = 4a (x-h)^2 ; y = 4a (x-4)^2 when x is 6 and y is 1. then,
1 = 4a (6-4)^24a is equal to 1/4
the equation then is y = 1/4 (x-4)^2
Answer:
416.666667
Step-by-step explanation:
125×(7/3) = 416.666667
Step-by-step explanation:
Katie's deposits are positive: 23.87, 41.03, and 61.33.
Her withdrawals are negative: -4.34 -21.11, -8.78.
Sorted from least to greatest (most negative is least, most positive is greatest):
-21.11, -8.78, -4.34, 23.87, 41.03, 61.33
Katie started with $128. Add to it all the deposits and withdrawals:
128 − 21.11 − 8.78 − 4.34 + 23.87 + 41.03 + 61.33 = 220
Answer: F. The Theoretical Probability is Greater than the Experimental Probability.
Step-by-step explanation: Theoretical probability gives you the odds of every outcome. With flipping a coin, the outcome odds of tails would always be 1/2. Experimental probability is the actual outcome that results from trials. During trials, tails was flipped 8 times. We can simplify 8/20 flips to find that tails was flipped 2/5 flips. In decimal form, 1/2 simbolizes .5 or 50%. 2/5 simbolizes .4 or 40%. The theoretical probability is greater than the experimental probability.
Answer:
n=3
Step-by-step explanation;
36n^2=4
n^2=4/36
n^2=1/9
to make 9 a numerator take the reciprocal of 1/9
n^2= -9
take square root on both sides
n=3
