The table is:0 1 2 3
x1 0 0.08 0.06 0.04 0.00
1 0.05 0.18 0.05 0.03
2 0.05 0.04 0.10 0.06
3 0.00 0.03 0.04 0.07
4 0.00 0.01 0.05 0.06
Expected difference =
+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))
= 0.17
Answer:
Step-by-step explanation:
19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.
Therefore, 21x + 6 = 90
2x = 90 - 6
2x = 84
x = 42
21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,
8x - 4 = 60
8x = 60 + 4
x = 
x = 8
23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles
Therefore, (-1 + 14x) = (12x + 17)
14x - 12x = 17 + 1
2x = 18
x = 9
25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.
Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]
2x + 192 = 180
2x = 180 - 192
2x = -12
x = -6
Now measure of (x + 96)° = -6 + 96
= 90°
26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.
Therefore, (20x + 5)° + (24x - 1)° = 180°
44x + 4 = 180
44x = 176
x = 4
Answer:
17,18
Step-by-step explanation:
let the smaller integer be "a" and the larger be "b"
Then 2b = 3a -15 ........................equ 1
but they are consecutive integers, b= a+1 ; substitute b into equ 1,thus,
2(a+1) = 3a - 15
2a + 2 = 3a-15
collect like terms,
2+15 =3a-2a
17 = a
b= a+1
b = 17+1
b=18.
The integers are 17,18
Answer:
The sum of two numbers is 18.
5 times the first number subtracted from 4/7 of the second number is 14.
First number --> x
Second number --> y
so
x + y = 18 --> x = 18-y
5x - (4/7)y = 14
so
5 (18-y) - (4/7)y = 14
90 - 5y - 4/7 y = 14
-5.57 y = 14-90
y = 13.64
so
x = 18 - 13.64
x = 4.36
Answer: yes
Step-by-step explanation: