X = number of flower choices
We have 4 times of trees and 6 kinds of shrubs and x kinds of flowers
Overall, we'll have 4*6*x = 24*x different ways to pick three items (one per type).
Set this expression equal to 168 and solve for x
24*x = 168
24*x/24 = 168/24
x = 7
Answer: B) 7
*FORMULA*
Qu1.
Height=10
Base=8
Qu2.
Area of a kite=half×product of digonals
Step by step solution
Summation of 1st diagonal =5+5
=10
Summation of 2nd diagonal =7+5
=12
Product of the diagonals
=10×12
=120
Area=1÷2×120
=60
6 - 34 + 96 - 384 +...
a 1 = 6 , a 2 = a 1 * ( - 4 ) , a 3 = a 2 * ( - 4 ), a 4 = a 3 * ( - 4)...
a 5 = - 384 * ( - 4 ) = 1,536
a 6 = 1536 * ( - 4 ) = - 6,144
a 7 = - 6,144 * ( - 4 ) = 24,576
This is a sum of a geometric sequence:
S 7 = 6 - 24 + 96 - 384 + 1,536 - 6,144 + 24,576 = 19,662
Another way to solve this:
S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)=
= 6 * (-16,385) / (-5 ) = 19,662
Answer:
a) C. The random variable is discrete. The possible values are xequals0, 1, 2,....
b) B. The random variable is continuous. The possible values are x greater than or equals 0.
Step-by-step explanation:
Discrete variables are countable in a finite amount of time. Continuous variables can be infinitely many. They rather assume values in a range.
<u><em>(a) Is the number of hits to a Web site in a day discrete or continuous? </em></u>
C. The random variable is discrete. The possible values are x equals 0, 1, 2,....
<u><em>(b) Is the weight of a Upper T dash bone steak discrete or continuous?</em></u>
B. The random variable is continuous. The possible values are x greater than or equals 0.
Since a cube is l x w x h, find the length of one side first:
∛8,000 = 20
The length of one side is 20 feet. This can represented as "s".
To find the area of one of the faces, use s²:
20² or 20 x 20 = 400
The area of one face is 400 ft²!
