Answer:
x = 4.8
Step-by-step explanation:
Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.
Thus:
QP/KJ = PS/JM
Substitute
8/5 = x/3
Cross multiply
5*x = 3*8
5x = 24
x = 24/5
x = 4.8
F(x) = x^3 + 2x^2 - x - 2
<span>f(x) = x^2(x + 2) - (x + 2) </span>
<span>f(x) = (x^2 - 1)(x + 2) </span>
<span>f(x) = (x + 1)(x - 1)(x + 2) </span>
<span>Roots: -1, 1, -2 </span>
Answer:
The area of shaded region is 25.5 units³
Step-by-step explanation:
Step 1 , you have to find the area of rectangle and triangle using the formulas :
Rectangle :

Let length = 5 units,
Let width = 6 units,


Triangle :

Let base = 3 units,
Let height = 3 units,



Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :


Answer:
The correct answer to the following question will be "90% = 5%" and "95% = 2.5%".
Step-by-step explanation:
The given levels are:
90% and 95%
(a)...
At 90%, we get
⇒
= 
then,
⇒ 
⇒
≅ 
∴ at 90% level of confidence 5% must be chopped off from each of the tail.
(b)...
At 95%, we get
⇒
= 
then,
⇒

⇒
≅ 
∴ at 95% level of confidence 2.5% must be chopped off from each of the tail.
Answer:
416mm^3
Step-by-step explanation:
volume = length x width x height
= 10.4 x 5 x 8
=416