Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
This spyware is detected 66% of the time.
We are given with
5% significance level
Upper-tail values:
5%, 2.5%, and 1%
Critical z-values:
1.65, 1.96, and 2.58
For a 5% significance level, the normal critical z-value is
1.96
Among the choices, for an upper tail value of 5%, the critical z-value is 1.96
Answer:
9.
Step-by-step explanation:
When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.
|-12| - |-3| = 12 - 3 = 9.
Hope this helps!
Answer:
A. (x, y) → (x,-y), (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Plot points B, C and D on the coordinate plane (blue points in attached diagram).
1 transformation is reflection across the x-axis with the rule
(x,y)→(x,-y)
and it maps these points to
- B(-3,0)→B'(-3,0)
- C(2,-1)→C'(2,1)
- D(-1,2)→D'(-1,-2)
These image points are marked in green in attached diagram.
2 transformation is translation 1 unit to the right and 1 unit up with the rule
(x,y)→(x+1,y+1)
and it maps previous image points to
- B'(-3,0)→B''(-2,1)
- C'(2,1)→C''(3,2)
- D'(-1,-2)→D''(0,-1)
By implicit differentiation:
<span>(x(dy/dx) + y)e^(xy) = 0 </span>
<span>Note that when differentiating e^(xy), apply chain rule. When differentiating xy, use product rule. Also: When differentiating y w/respect to x, think of that as if you are differentiating f(x). </span>
<span>Then, substitute (1,ln(2)) and solve for dy/dx. </span>
<span>(1(dy/dx) + ln(2))e^(1ln(2)) = 0 </span>
<span>((dy/dx) + ln(2))e^(ln(2)) = 0 </span>
<span>Note that e^(ln(2)) = 2 since e and ln are inverse of each other. </span>
<span>2((dy/dx) + ln(2)) = 0 </span>
<span>dy/dx + ln(2) = 0 . . . . You get this expression by dividing both sides by 2 </span>
<span>dy/dx = -ln(2) . . . . . . .Subtract both sides by ln(2) </span>
<span>Therefore, dy/dx = -ln(2) </span>
<span>I hope this helps!</span>
