Tossing a die will have 6 possible outcomes. Those are having sides that are number 1 to 6. The sample space of tossing 3 dice is equal to 6³ which is equal to 216. Now for the calculation of probabilities,
P(two 5s) = (1 x 1 x 5)/216
As we have to have the 5 in the die for two times, then for the 1 time, we can have all other numbers except 5. The answer is 5/216.
P(three 5s) = (1 x 1 x 1)/216 = 1/216
P(one 5 or two 5s) = (1 x 5 x 5)/216 + (1 x 1 x 5)/216 = 5/36
Divide:
( 8x^4 - 3x^2 + x - 10) by ( x - 1 ) ============================> 8x^5 − 8x^4 − 3x^3 + 4x^2 − 11x +10
Simplify:
(8x^4 − 3x^2 + x − 10)(x − 1)
(8x^4 + −3x^2 + x + −10)(x + −1)
(8x^4)(x) + (8x^4)(−1) +(−3x^2)(x) + (−3x^2)(−1) + (x)(x) + (x)(−1) + (−10)(x) +(−10)(−1)
8x^5 − 8x^4 −3x^3 + 3x^2 + x^2 − x − 10x +10
Hence, Your Answer, =====> 8x^5 − 8x^4 − 3x^3 + 4x^2 − 11x + 10
Hope that helps!!!! : )
Answer:
The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.5 inches
Standard Deviation, σ = 3.3
We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.25
Calculation the value from standard normal z table, we have,
Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.
Answer:
Step-by-step explanation:
<u>Equations
</u>
The relation between the number thought by Ann (N) and the final result (R) can be expressed as
So if for example, Ann thought in the number N=12, then
If we know the value of R, it's easy to find back the value of N by solving the equation
subtracting 7 on each side
Dividing by 5
So, if Ann tells Jim that R = 52, he can guess her number is
The answer that I got was side WX = 12 inches
It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.
With this information I set up an equation:
3m-4 + 3m-4 +m = 76
(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).
I combined like terms on the left side and ended up with:
7m-8=76
I added 8 to both sides of the equation and got 7m=84.
Finally I divided both sides by 7 and got m=12
m is equivalent to side WX..
Hope this helps!