Answer:
1 over 12.
Step-by-step explanation:
The probability of Carl rolling a 2 is one out of six. The probability of him rolling a 4 is one out of six. but they need to happen one right after the other, so you add them.
Answer:
B.
Step-by-step explanation:
Answer:
Each side is 5 cm
Step-by-step explanation:
What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.
a = 3
b = 4
c = the side length of the rhombus.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
Take the square root of 25
sqrt(c)^2 = sqrt(25)
c = 5
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Answer:
4/27
Step-by-step explanation:
6 red marbles, 8 blue marbles and 4 yellow marbles.= 18 total marbles
P(red marble) = number red marbles / total
=6/18 = 1/3
We put the marble back
6 red marbles, 8 blue marbles and 4 yellow marbles.= 18 total marbles
P(blue marble) = number blue marbles / total
=8/18 = 4/9
P(red, replace. blue) = P(red) * P (blue)
= 1/3 * 4/9 = 4/27
