Since approximately 68% of a (roughly) normal distribution falls within one standard deviation of the mean, that leaves 32% that falls outside, and by symmetry 16% should lie above one standard deviation of the mean.
20x+50=450
-50 -50
20x=400
Divide both sides by 20
X=20
Answer:
Mean=50
Step-by-step explanation:
The mean of a probability distribution is a <u>measure of central tendency</u>,and gives information about how the possible values of x are distributed.
The vertical axis measures the probability of finding a specific value of x in the sample. The probability of finding a value near the mean is high (that is why the value of the function that is depicted in the vertical axis, increases as we get closer to the mean=50): this is because the mean is that value of x around which higher probability of occurrence is associated.
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Answer:
C. Both (1, 11) and (-1, -5)
Step-by-step explanation:
The missing options are:
<em>
A. Only (1, 11)
</em>
<em>B. Only (-1, -5) </em>
<em>C. Both (1, 11) and (-1, -5)
</em>
<em>D. Neither </em>
To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.
Replacing x = 1, we get:
y = 8(1) + 3
y = 11
then (1, 11) is a solution
Replacing x = -1, we get:
y = 8(-1) + 3
y = -5
then (-1, -5) is a solution
