Answer: The required probability is 0.26.
Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.
We are to find the probability of selecting 6 red marbles.
Since the marbles are picked up without replacement, so it is a situation of combination.
Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.
So,
Therefore, the probability of event E is given by
Thus, the required probability is 0.26.
A trapezoid is isosceles if and only if
(1) The base angles are congruent
(2) The diagonals are congruent
(3) The opposite angles are supplementary
So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".
If we let p and t be the masses of the paper and textbook, respectively, the equations that would best represent the given in this item are:
(1) 20p + 9t = 44.4
(2) (20 + 5)p + (9 + 1)t = 51
The values of p and t from the equation are 0.6 and 3.6, respectively. Thus, each paperback weighs 0.6 pounds and each textbook weighs 3.6 pounds.
Answer:
12.5 in²
Step-by-step explanation:
Given:
Height of tile = 2.5 in
Base of tile = 2*height of tile = 2*2.5 = 5 in
Length of other side of tile = 2.5 in
Required:
Area of the tile
SOLUTION:
Area of the tile = area of parallelogram
All we need to calculate the area of the tile, is the base and the height.
Area of parallelogram = base × height
Area of tile = 5 × 2.5 = 12.5 in²
Answer is C. Y intercept is 3. The slope is 2/3x.
