Answer:
The fourth term of the sequence is 3
Step-by-step explanation:
For an nth term in an arithmetic sequence
A(n) = a + (n - 1)d
Where n is the number of terms
a is the first term
d is the common difference
From the question
a = 12
d = - 3
So the fourth term of the sequence is
A(4) = 12 + (4 - 1)-3
= 12 + (3)(-3)
= 12 - 9
The final answer is
3
Hope this helps you.
Dodecahedron is a 3D shape, usually when it ends with hedron it is 3D.
Answer:
X-axis is the black line that goes from right to left
Y-axis is the black line that goes from up to down
the origin is the (0,0)
(-5,7) is move 5 left from the Y axis, 7 up from the X axis.
Step-by-step explanation:
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
![E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%29%5Cdfrac%7B1%7D%7B2%7D%2B%20%284%20%2B%20E%5BX%5D%29%5Cdfrac%7B3%7D%7B10%7D%2B%201%20%28%5Cdfrac%7B2%7D%7B10%7D%29)
![E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%290.5%2B%20%284%20%2B%20E%5BX%5D%290.3%2B%200.2)
Solving for E[X]; we get
E[X] = 12
Answer:
<h2>
<em><u>D. 3 cm, 6 cm. 9 cm</u></em></h2>
Step-by-step explanation:
As here,
3 cm + 6 cm = 9cm. = 9cm
And as we know,
<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>Triangle</u></em><em><u> </u></em><em><u>Inequality</u></em><em><u> </u></em><em><u>Property</u></em><em><u>, </u></em>
<em><u>Measurement</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>any</u></em><em><u> </u></em><em><u>two</u></em><em><u> </u></em><em><u>sides</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>always</u></em><em><u> </u></em><em><u>greater</u></em><em><u> </u></em><em><u>than</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>third</u></em><em><u> </u></em><em><u>side</u></em><em><u>. </u></em>
<em><u>But</u></em><em><u> </u></em><em><u>here</u></em><em><u>,</u></em>
Sum of two sides is same as the third side,
So,
<em><u>Option D is the required answer. </u></em>
