The probability that it will weigh less than 23.1 ounces is = 0.8643
P(x < 23.1)
= P[(x - \mu) / \sigma < (23.1 - 22) / 1]
= P(z < 1.1)
Using the z table,
= 0.8643
Probability is the branch of arithmetic concerning numerical descriptions of ways in all likelihood an occasion is to occur, or how likely it is that a proposition is authentic. The chance of an occasion is a variety of between zero and 1, where, roughly talking, 0 indicates the impossibility of the event, and 1 indicates truth.
The possibility of an event may be calculated through probability formulation by using simply dividing the favorable wide variety of consequences by the overall range of viable consequences.
Opportunity = the number of ways of achieving achievement. the whole quantity of feasible results. for instance, the possibility of flipping a coin and it being heads is ½, because there's 1 way of having a head and the total wide variety of viable results is 2 (a head or tail). We write P(heads) = ½.
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This would be true because it shows that p equals either a or b and it also shows that p equals a which is true because it is one of the independent choices.
-- The smallest perimeter you can make with a certain area
is a circle.
-- The NEXT smallest perimeter with the same area is a square.
With 1-ft by 1-ft square bricks, the shortest perimeter she could
make would be by using her bricks to make it as square as possible.
Without cutting bricks into pieces, the best she could do would be
(13 bricks) x (3 bricks) .
= (13-ft) x (3-ft)
Perimeter = (2 x length) + (2 x width)
= (2 x 13-ft) + (2 x 3-ft)
= (26-ft) + (6-ft) = 32 feet <== shortest perimeter.
-- Then, the more UNSQUARE you make it, the more perimeter
it takes to enclose the same area. That means Mary has to make
a rectangle as long and skinny as she can.
The longest perimeter she can make (without cutting bricks into
pieces) is (39 bricks) x (1 brick) .
= (39-ft) x (1-ft) .
Perimeter = (2 x length) + (2 x width)
= (2 x 39-ft) + (2 x 1-ft)
= (78-ft) + (2-ft) = 80 feet .
What she'll have then is a brick path, 39 feet long and 1 foot wide,
and when you walk on it, you'll need to try hard to avoid falling off
because it's only 1 foot wide.
In every triangle,if one of those three angles has his measure more than 90°,then the triangle is optuse.
If all three angles are 60°,it means the triangle equiangular.
If one of those three angles is equal to 90°,the triangle is right.
If all the angles of the triangle have their measure less than 90°,the triangle is acute.
_____________________________________________________________
Your triangle has an angle bigger than 90°,it means the triangle is optuse.
Answer:
V ≈ 3367.6 cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V =
πr³ ( r is the radius )
Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so
V =
× 3.14 × 9.3³
=
× 3.14 × 804.357
= 
≈ 3367.6 cm³ ( to the nearest tenth )