Answer:
1/32
Step-by-step explanation:
Since we want to find the probability that all five coins land on heads, we must first find the total number of possibilities. Since there are 2 choices for each coin to land on, heads or tails, the total number of possibilities is 2^5 = 32.
Since there is only one way to to land on all heads, the probability is 1/32.
......................... 1/2
You're looking for a value

such that

Because the distribution is symmetric, the value of

in either case will be the same.
Now, because the distribution is continuous, you have that

The mean for the standard normal distribution is

, and because the distribution is symmetric about its mean, it follows that

.

You can consult a

score table to find the corresponding score for this probability. It turns out to be

.
Answer:
x=10
y=2
Step-by-step explanation:
1)add the equations and find what x is.
x-y=8
+x+y=12
—————
2x=20
— —
2 2
x=10
3)fill in x for the second equation.
x+y=12
since x=10,replace x with 10.
10+y=12.
subtract 19 from both sides.
10+y=12
-10 -10
—————-
y=2
Answer:
The correct option is 4. Neither A nor B represents a function.
Step-by-step explanation:
The given sets of ordered pairs are


A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.
In set A the value of y-coordinates are -5 and 7 at
.
At x=8, there exist more than one value of y, so the set A is not a function.
In set B the value of y-coordinates are -4 and -2 at
.
At x=7, there exist more than one value of y, so the set B is not a function.
Therefore neither A nor B represents a function and option 4 is correct.