Answer:
c = 0.1864
Step-by-step explanation:
To find c, we need to find the z-score where:
P(-z<Z<z) = 98%
Based on the properties of the normal distribution we can said that
P(-z<Z<z) = 98% is equal to:
2*P(Z>z) = 2% or P(Z>z)= 1%
So, using the standard normal table, the z score is 2.33
Then, we can calculated the value of c as:
Where s is the standard deviation and z is the z-score. Replacing the values, we get:
c = 2.33*0.08
c = 0.1864
Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>