Answer:
probability is 1/2
Step-by-step explanation:
multiples of 3 that will occur in standard dice = 3,6
hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:
3/6 = 1/2
Answer:
a) Explicit Formula : aₙ = 3. (-3)ⁿ⁻¹
b) Fifth term : a₅ = 243
Step-by-step explanation:
This sequence above is the Geometric sequence. The Geometric sequence is calculated using the formula
aₙ= a1.rⁿ⁻¹
where a1 = first term
r = common ratio
n = number of terms
From the above question, we are given
a1= 3, r=-3 and asked to find the explicit formula.
The explicit formula using the geometric sequence formula =
aₙ = 3. (-3)ⁿ⁻¹
b) The fifth term in the sequence is calculated as
aₙ = 3. (-3)ⁿ⁻¹
Where n = 5
a₅ = 3.(-3)⁵⁻¹
a₅ = 3.(-3)⁴
a₅= 243
There are several information's of immense importance already given in the question. Based on those information's. the answer can be easily deduced.
We already know that
y = mx + b
Then
Slope for GH = (6 - 2)/(- 2 - 2)
= - 1
We already know that parallel lines have the same slope
Then
<span>6 = -1(5) +b
</span>6 = - 5 + b
b = 11
Then, the equation is
y = x + 11
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the last option or the fourth option.
<h3>Function 1 : </h3>
Observe the abscicca and ordinates
<u>*</u><u>Note</u><u> </u><u>that</u><u>:</u><u>-</u><u> </u><em>y-coordinate</em><em> </em><em>is</em><em> </em><em>ordinate</em><em> </em><em>and</em><em> </em><em>x-coordinate</em><em> </em><em>is</em><em> </em><em>abscicca</em><em>.</em>
- The ordinate having 0 as abscicca in function 1 is (0,1), Thus.. The y-intercept is 1
<h3>
Function 2 : </h3>
Observe the graph and mark the point where function meets y-axis
<u>*</u><u>Note</u><u> </u><u>that</u><u>:</u><u>-</u><u> </u><em>The</em><em> </em><em>point</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>graph</em><em> </em><em>where</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>meets</em><em> </em><em>y-axis</em><em> </em><em>is</em><em> </em><em>called</em><em> </em><em>y-intercept</em><em>.</em>
- The point where the function meets is (0,1). Therefore, The y-intercept of function 2 is also 1

<em><u>Thus, Option C is the correct choice!!~</u></em>
Answer:
3 hours
Step-by-step explanation:
2*3=6
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..
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i really don't know what else to say?