Answer:
Step-by-step explanation:
There are
2 yellow
3 magenta
5 blue
marbles in the bag.
So total of 2 + 3 + 5 = 10 marbles
We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).
We denote P(Y1) as probability of yellow on first draw &
P(Y2) as probability of yellow on second draw
Thus,
P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]
Now,
P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]
Now, we multiply:
P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45
The probability is
Answer:
Option A (k < -1).
Step-by-step explanation:
Enlargement is one of the linear transformations which changes the size of the shape formed by a combination of some points in the exact proportion. For enlargement (also called dilation), there are two parameters required: the center of enlargement, according to which the transformation occurs, and the scale factor, the size by which the transformation is done. The scale factor can be of any number k. If k is larger than 1 or -1, then it will cause enlargement. If k is between -1 and 1, it will cause anti-enlargement. The magnitude of k determines the size and the sign of k determines the direction. So in this case, k < -1 will cause the enlargement: even though the scale factor is less than -1, but it will enlarge the shape on the opposite direction. Option B and Option C cause anti-enlargement and Option D cause no enlargement or anti-enlargement. So Option A is the correct answer!!!
Answer:
6(3t + 5)
Step-by-step explanation:
6 is their least common factor
Answer:
39
Step-by-step explanation:
the answer is up at the top.
Answer:
The result can be shown in multiple forms.
Exact Form:
32
3
Decimal Form:
10.
¯
6
Mixed Number Form:
10
2
3
Simplify the numerator.
−
2
4
−
2
−
4
−
1
Simplify the denominator.
−
2
−
3
16
Multiply the numerator by the reciprocal of the denominator.
−
2
(
−
16
3
)
Multiply
−
2
(
−
16
3
)
.
32
3
Step-by-step explanation: Simplify the numerator.
−
2
4
−
2
−
4
−
1
Simplify the denominator.
−
2
−
3
16
Multiply the numerator by the reciprocal of the denominator.
−
2
(
−
16
3
)
Multiply
−
2
(
−
16
3
)
.
Tap for more steps...
32
3
The result can be shown in multiple forms.
Exact Form:
32
3
Decimal Form:
10.
¯
6
Mixed Number Form:
10
2
3
