Answer:
<h3>There are

ways to answer.</h3>
Step-by-step explanation:
We know that the survey has 8 items, that means we can use the factorial number, because it's a simple permutation.
Using a factorial we have
where
, which is the total number of items.

Therefore, there are 40,320 ways to answer the survey, or 8! ways.
4h² - 2h + 6
h = -2, subtitute
4 · (-2)² - 2 · (-2) + 6 = 4 · 4 + 4 + 6 = 16 + 4 + 6 = 26
Answer:
84.6%
Step-by-step explanation:
There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck
therefore
52-8 =44, 44 cards that are not kings or aces
therefore the probability is
44/52 = 0.846153846*100 = 84.615%
There the chances are 44/52 or 84.6%
Answer:
Step-by-step explanation:
Triangle HIJ is a right angle triangle.
From the given right angle triangle
IJ represents the hypotenuse of the right angle triangle.
With ∠J as the reference angle,
HJ represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine IJ, we would apply Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 54 = 7/IJ
0.8090 = 7/IJ
IJ = 7/0.8090
IJ = 8.7 to the nearest tenth