Answer:
- A. the distance between points W and X
Step-by-step explanation:
<u><em>Looking for the distance of 5 units</em></u>
A. the distance between points W and X
- -3 - (-8) = -3 + 8 = 5
- Correct
B. the distance between points X and Y
- 1 - (-3) = 1 + 3 = 4 < 5
- Incorrect
C. the distance between points X and Z
- 5 - (-3) = 5 + 3 = 8 > 5
- Incorrect
D. the distance between points Y and Z
Answer:
11/20
Step-by-step explanation:
5 cents is worth $0.05.
A quarter is worth $0.25.
A dime is worth $0.10
A nickel is worth $0.05
A penny is worth $0.01
In total there are 40 coins in the jar.
The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.
Therefore, the probability of of picking a coin worth more than 5 cents is:
22 / 40 = 11/20
Answer:
And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution 
and for this case we know that the distribution is given by:
And the standard error would be:
And replacing we got:
Step-by-step explanation:
For this case we know the population deviation given by:
And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution and for this case we know that the distribution is given by:
And the standard error would be:
And replacing we got:
Answer:
the 4th answer I(x) = P(x-4)
Step-by-step explanation:
the first 2 options are out, because just adding values to the functional result values changes the y value, and the curve is pushed up or down. but not to the side.
just imagine
I(x) = P(x-4) means that the function value of previously at x-4 happens now at x. 4 units "later" (or more to the right).
"x+4" would make the functional value at previously x+4 happen now at x. so, everything would shift to the left (happen "earlier").
therefore, the 4th answer option is correct.
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
