Answer:
P(x>278) is 0.16
Step-by-step explanation:
We are given that a normal distribution has a mean of 266 and a standard deviation of 12.
Mean = 
Standard deviation =
We are supposed to find P(x > 278)
So, Formula : 
Z=1
Refer the z table for p value
p value = 0.8413
P(x<278) is 0.84
P(x>278)=1-P(x<278)=1-0.84=0.16
Option A is true
Hence P(x>278) is 0.16
Answer:
Step-by-step explanation:
If this is an exponential function, it is of the form
where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate. To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b. Just a hint: If at all possible, choose the coordinate that gives you an x of 0. You'll see why in a minute.
I chose the first 2 points from your table: (0, .2) and (1, .8). Solving first for a:
The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1. So our equation then becomes:
so
a = .2 Easy enough.
Now use that value along with the other coordinate to solve for b:
b to the first is just b, so,
.8 = .2b
Divide both sides by .2 and you'll get that
b = 4
The equation, then, is
which is growth, since the value for b is greater than 1.
Answer:
x=4
Step-by-step explanation:
hope this helps:)
We apply the rule to each of the vertices:
(x, y) ---> (x-5, y + 3)
P (1,4) ---> (1-5,4 + 3) >> (-4, 7)
Q (-1,4) ---> (-1-5,4 + 3) >> (-6, 7)
R (-2, -4) ---> (-2-5, -4 + 3) >> (- 7, -1)
S (2, -4) ---> (2-5, -4 + 3) >> (-3, -1)
Answer:
<span> a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)</span>
