I think the answer is $5.66
A= (a+b/2) × h
Is the formula for a trapezoid
The value of b is -3.
<h3>What is axis of symmetry?</h3>
Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.
Now the given function is,
f(x) = 1/4 x^2 bx + 10
and axis of symmetry is at x = 6
Now the quadratic function in standard form is given as,
f(x) = a x^2 bx + c
By comprison we get,
a = 1/4
c = 10
Since axis of symmetry is a vertical line
x = -b/2a
Therefore,
6 = -b/2*(1/4)
-b = 6*2*(1/4)
or, b = -12/4
or, b = -3
Hence,The value of b is -3.
More about axis of symmetry :
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Answer:
1. 40%
2. The theoretical probability is 3% greater than the experimental probability.
Step-by-step explanation:
We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;
(the number of times a 4 was rolled)/(total number of rolls)
8/20 = 0.4
0.4*100 = 40%
The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;
P(HT or TH or TT)
The above events are mutually exclusive, thus;
P(HT or TH or TT) = P(HT) + P(TH) + P( TT)
= (22+34+16)/(28+22+34+16)
= 0.72 = 72%
On the other hand, the theoretical probability of obtaining at least one tails,
P(HT or TH or TT) = 3/4
= 75%
This is because there is at least one tail in 3 out of 4 possible outcomes.
Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.
Answer:
ok
Step-by-step explanation:
