Answer:
True
Step-by-step explanation:
When a coin is tossed six coins in a row, there are a total of 
outcomes.
The possible number of times for a heads are {0, 1, 2, 3, 4, 5, 6}.
Let our random variable, Number of coins that turn up heads be X
X={0, 1, 2, 3, 4, 5, 6}.
The event that X<3 and the event that X>3 cannot occur simultaneously in the same outcome.
In an outcome, its either one of the following happens:
- Number of heads = Number of Tails =3
- Number of heads < Number of Tails
- Number of heads > Number of Tails
- Number of heads cannot be greater than Number of Heads
Therefore, the events that X<3 and X>3 are independent.
We have that
<span>line with endpoints at (1,3) and (3,1)
we know that
Applying </span><span>the distance formula
d= √ (x2-x1)^2+(y2-y1)^2
</span>d= √ (3-1)^2+(1-3)^2-------> d=√[2²+(-2)²]-----> d=√8
Answer:
31.5 cm
Step-by-step explanation:
scale of an architecture is ratio of size of drawing to size of actual object.
Given size of football field is 160 feet by 360 feet
Given that on map shortest side is 14
since value of shortest side is 160 feet
then
scale defined for this football filed will be
scale = size of shortest side on model/size of shortest side of actual football field
scale = 14/160
Given that scale will remain same for longer side as
14/160= size of longer side on model/size of longer side of actual
14/160 = size of longer side on model/360
thus,
size of longer side on model = (14/160) * 360
size of longer side on model = 14*360/160 = 31.5
Thus, the other side of model that is longer side is 31.5 cm
Answer:
∡W = 73°
∡X = 81°
∡Y = 26°
Step-by-step explanation:
let 'y' = measure angle Y
let '3y - 5' = measure of angle W
let '3y + 3' = measure of angle X
add all together and set equal to 180
y + 3y + 3y - 2 = 180
7y = 182
y = 26
substitute 26 for y in '3y+3' to find measure of angle X
substitute 26 for y in '3y-5' to find measure of angle W
