Answer:
Step-by-step explanation:
This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.
The coefficients of this quadratic expression are a = 7, b = 5 and c = -3
The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.
Using the quadratic formula, we now find these roots:
-b ± √(discriminant)
x = -------------------------------- which here is:
2a
-5 ± √109
x = -----------------
14
The factors can be found from these two roots. The first one is
-5 - √109 5 + √109
(x - ---------------- ) = (x + ---------------- )
14 14
and the second is
5 - √109
(x + ---------------- )
14
Answer:
s = (14 + 7 + 11)/2 = 32/2 =16
=> area = sqrt(16*(16-14)*(16-11)*(16-7)) = ~37.95
=> h = 2*Area/Base = 2*37.95/14 = 5.42
Answer:
the probability that the exceeded 65 = 0.3707
The average score of the 36 golfers exceeded 65
= 36 X 0.3707 = 13.3452
Step-by-step explanation:
<u>Step 1</u>:-
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.
mean (μ) = 64
standard deviation (σ) =3
by using normal distribution
given (μ) = 64 and (σ) =3
i) when x =65
P( X≥ 65) = P(z≥0.33)
= 0.5 - A(z₁)
= 0.5 - 0.1293 (see normal table)
= 0.3707
The average score of the 36 golfers exceeded 65
= 36 X 0.3707 = 13.3452
Answer : the x-intercept is -4
