Answer:
8y^6,2xy^3
Step-by-step explanation:
Answer:
The probability that none of the three shoes selected are green = 64/125
Step-by-step explanation:
If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5
Now, this is a probability with replacement.
probability of the first shoe since it’s not green = 4/5
probability of second shoes since it’s not green = 4/5
probability of third shoe since it’s not green = 4/5
Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
Jesus Christ is the only true source of joy
Answer:
The error interval for x is:
[3.65,3.74]
Step-by-step explanation:
The number after rounding off is obtained as:
3.7
We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:
3.65 3.66 3.67 3.68 3.69 3.70 3.71 3.72 3.73 3.74
( Because if we have to round off a number present in decimals to n place then if there is a number greater than or equal to 5 at n+1 place then it will result to the one higher digit at nth place on rounding off and won't change the digit if it less than 5 )
Hence, the error interval is:
[3.65,3.74]
