Option D:
is positive product.
Solution:
<em>If the negative sign is in even number of times then the product is positive.</em>
<em>If the negative sign is in odd number of times then the product is negative.</em>
To find which product is positive:
Option A:
Here, number of negative signs = 3
3 is an odd number.
So, the product is negative.
Option B:
Here, number of negative signs = 3
3 is an odd number.
So, the product is negative.
Option C:
Here, number of negative sign = 1
1 is an odd number.
So, the product is negative.
Option D:
Here, number of negative sign = 2
2 is an odd number.
So, the product is positive.
Hence option D is the correct answer.
is positive product.
(0, 2 )
to find the y-intercept, let x = 0 in the equation
x = 0 , then 10y = 20 ⇒ y = 2 ← ( y- intercept ) ⇔ (0, 2 )
K=1/2 is the correct answer.
Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
