Answer:
y=24 x=33
Step-by-step explanation:
Example: ⇒
y
=
k
x
to find k use the given condition
y
=
−
24
when
x
=
8
y
=
k
x
⇒
k
=
y
x
=
−
24
8
=
−
3
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
−
3
x
2
2
∣
∣
∣
−−−−−−−−−−−−−−
when
x
=
10
then
y
=
−
3
×
10
=
−
30
Answer:
x=50
Step-by-step explanation:
Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.
Answer:
49 third graders
Step-by-step explanation:
From the question:
The music teacher receives 9 boxes of recorders and there are six recorders in each box
The total number of recorders the teacher received =
1 box = 6 recorders
9 boxes = x
Cross Multiply
x = 9 × 6 recorders
x = 54 recorders.
She hands them out to third graders and has 5recorders left .
How many third graders received a recorder?
The amount of recorders shared =
54 recorders - 5 recorders
= 49 recorders
If 1 recorders was given to a third grader,
Therefore, the amount of third graders that received a recorder is 49 third graders
Answer:
9.5
Step-by-step explanation:
There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.
Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.
