Answer:
The appropriate solution is:
(a) 0.1056
(b) 0
(c) 0.9544
Step-by-step explanation:
The given values are:
Mean,
Standard deviation,
(a)
⇒ 
By using the table, we get
(b)
According to the question, the values are:
= 64
= 75
Now,
⇒ 
= 
= 
= 
= 
⇒ 
![=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]](https://tex.z-dn.net/?f=%3D1%20-%20P%5B%5Cfrac%7B%28%5Cbar%20x-%5Cmu_%5Cbar%20x%29%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B80-75%7D%7B0.5%7D%20%20%5D)
By using the table, we get
(c)
As we know,
⇒ 
=
=
=
=
then,
= 
= ![P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B74-75%7D%7B0.5%7D%20%3C%20%5Cfrac%7B%5Cbar%20x-%5Cmu%20%5Cbar%20x%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B76-75%7D%7B0.5%7D%20%5D)
= 
= 
By using the table, we get
= 
= 
Answer:
21,678 rounded to the nearest ten is 21,680
Answer:
52
Step-by-step explanation:
52 dollar if it include tax.
Answer:
C is correct equation.
Step-by-step explanation:
We are given a point and slope of a line. Using point slope form formula to find the equation of line and match the correct option.
Formula:
where,
Equation of line:
Thus, C is correct equation of given information.
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
