Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
<em><u>Mean Formula</u></em>


<em><u>Variance Formula</u></em>

<em><u>Standard Deviation Formula</u></em>

Answer:
All the values of k are -4, -3, -2, -1, 0 , 1
Step-by-step explanation:
Given;
- 4≤ k ≤ 1
The range of value of k is between -4 and 1.
These values are listed as follows;
k = -4, -3, -2, -1, 0 , 1
Therefore, all the values of k are -4, -3, -2, -1, 0 , 1
Answer:
Hence after 3.98 sec i.e 4 sec Object will hit the ground .
Step-by-step explanation:
Given:
Height= 6 feet
Angle =28 degrees.
V=133 ft/sec
To Find:
Time in seconds after which it will hit the ground?
Solution:
<em>This problem is related to projectile motion for objec</em>t
First calculate the Range for object and it is given by ,
(2Ф)/
Here R= range g= acceleration due to gravity =9.8 m/sec^2
1m =3.2 feet
So 9.8 m, equals to 9.8 *3.2=31.36 ft
So g=31.36 ft/sec^2. and 2Ф=2(28)=56


fts
Now using Formula for time and range as

Vx is horizontal velocity
Ф
(28)
ft/sec
So above equation becomes as ,


T is approximately equals to 4 sec.
Let Amanda's age = x.
Gregory's age = x + 5.
Since Gregory is 17 years old.
17 = x + 5
x = 17 - 5
x = 12
Amanda is 12 years old.
Answer:
B. x^1/8 y^8
Step-by-step explanation:
here are the steps so you understand better