Answer:
97.72%
Step-by-step explanation:
Given that a city's mean minimum daily temperature in February is 22 degrees Upper F, with std deviation 5 degrees.
Let X be the minimum temperature in February
Then X is N(22,5)
To calculate percentage of days in February has minimum temperatures below freezing (32 degrees Upper F )
Probability that X <32 degrees
=
Convert this into percent by multiplying by 100
97.72% of days in February has minimum temperatures below freezing (32 degrees Upper F )
Answer:
B
Step-by-step explanation:
The maximum value of the function is the y- coordinate of the vertex.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = - 3x² - 15x + 9 ← is in standard form
with a = - 3 and b = - 15, thus
= -
= - 2.5
Substitute x = - 2.5 into the equation for y- coordinate of vertex
y = - 3(- 2.5)² - 15(- 2.5) + 9 = - 18.75 + 37.5 + 9 = 27.75 → B
Let Length of each Plan A workout be
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$