Answer:
0.6048
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 105
Standard deviation (sd) = 20
Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Z = (x - m) / sd
For IQ score of 88:
Z = (88 - 105) / 20
Z = (-17) / 20
Z = - 0.85
For IQ score of 122:
Z = (122 - 105) / 20
Z = (17) / 20
Z = 0.85
P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)
P(-0.85<Z<0.85) = (0.8023 - 0.1977)
P(-0.85<Z<0.85) = 0.6048
Answer:
.
Implied: 
.
Step-by-step explanation:
Get rid of the denominator by multiplying both sides of this equation with 
:
.
Isolate 
by moving 
to the left-hand side of the equation. That is: add 
to both sides of this equation.
.
By the symmetric property of equalities,
<em>*Distribute*</em>
3x+6+2x-8=x-3x-9
<em>*Combine like terms*</em>
5x-2=-2x-9
<em>*Add 2x to both sides*</em>
7x-2=-9
<em>*Add 2 to both sides*</em>
7x=-7
<em>*Divide both sides by 7*</em>
x=-1
Hope this helps!!
Step-by-step explanation:
f(x) = -12(8)^x
f(1) = -12 * 8¹
= -96
Answer:
Line D
Step-by-step explanation:
They're parallel which means they have the same slope and never intersect
