Answer:
![\dfrac{9}{64}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B64%7D)
Step-by-step explanation:
Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.
There are
marbles in total. The probability that the first chosen marble is blue is
then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is
![\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B8%7D%5Ccdot%20%5Cdfrac%7B3%7D%7B8%7D%3D%5Cdfrac%7B9%7D%7B64%7D.)
Answer: About 6.71 units
Step-by-step explanation:
You use the distance formula:
.
Assign the the two points to the variables:
![(x_{1}, y_{1}) = (1, 3)\\(x_{2}, y_{2}) = (4, -3)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2C%20y_%7B1%7D%29%20%3D%20%20%281%2C%203%29%5C%5C%28x_%7B2%7D%2C%20y_%7B2%7D%29%20%3D%20%284%2C%20-3%29)
Substitute them in the formula:
![\sqrt{(4-1)^{2}+(-3-3)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%28-3-3%29%5E%7B2%7D%7D)
And solve it:
![\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71](https://tex.z-dn.net/?f=%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%28-3-3%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%283%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B9%2B36%7D%5C%5C%3D%5Csqrt%7B45%7D%5C%5C%3D6.71)
Answer:
2
Step-by-step explanation:
1+3(x-1)-2x
Substitute the value of x into the equation:
1 + 3(4-1) -2 (4)
1 + 3(3)- 8
1 + 9 - 8
2
Answer:
see below
Step-by-step explanation:
Any number between 650 and 749, 650 and 749 are included as well
if number is 50 and above it goes up
Prime factorization of 5·2·5=5^2·2