Answer:
51
Step-by-step explanation:
39+3(4)=39+12=51
Let
be the set of all students in the <u>c</u>lassroom.
Let
and
be the sets of students that pass <u>p</u>hysics and <u>m</u>ath, respectively.
We're given




i. We can split up
into subsets of students that pass both physics and math
and those that pass only physics
. These sets are disjoint, so

ii. 9 students fails both subjects, so we find

By the inclusion/exclusion principle,

Using the result from part (i), we have

and so the probability of selecting a student from this set is

Answer:
f(x)=-3.5x²+2.7x - 8.2
Step-by-step explanation:
We have given:
a = -3.5 , b=2.7 and c= -8.2
We have to write quadratic function in standard form.
We know that the standard form of quadratic function is:
f(x)=ax²+bx+c
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
We have the values a= -3.5 , b = 2.7 and c = -8.2
Substitute the values in the standard form:
f(x)=-3.5x²+2.7x - 8.2
Therefore the answer is: f(x)=-3.5x²+2.7x - 8.2 ....
Step-by-step explanation:
Given that,
BC = 8
Ac = 15
We can find AB using the pythagoas theorem.

We know that,
, B is base and H is Hypotenuse

Hence, this is the required solution.
Answer:
1 1/11 times greater
Step-by-step explanation:
When we are looking for how man time greater, we know we have to divide
36/33
Each number can be divided by 3
12/11
We can change this to a mixed number
1 1/11 times greater