Answer:
5.37ft^2
Step-by-step explanation:
Area of the square minus area of the circle, so...
Area of the square is 5x5=25
Area of the circle is pi*2.5^2=19.63
25-19.63=5.37ft^2
Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:
Answer: The correct option is d. Procedure results in a binomial distribution.
Explanation: The binomial distribution should follow the below assumptions
The given random experiment has fixed number of trials. Here in the given random experiment there are 6 trials.
There are only two outcomes, labelled as "winning" and "losing". The probability of outcome "winning" is the same across the fixed trials. Here in the given example, we have an experiment, which has only two outcomes, either winning or losing. Also, the probability of winning across all the six trials.
The trials are independent. Here in the given experiment each trial is independent of other trial.
From the above consideration, we can clearly say that the given procedure follows binomial distribution.
So we know that the bacteria grows 3x as much every ten minutes. From this we know that it'll be 3 mm in 20 minute. Continuing the pattern, we can figure out that in 40 minutes the bacteria will be 81 mm.
The pattern: 10min - 3 20min - 9 30min - 27 40min - 81
Answer:
answer 1
Step-by-step explanation:
Since there's only 1 value in the 90-99 groups it is either 1 or 3.
Furthermore, there are only 2 values starting with 10.
This only fits with answer 1
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m
(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>= 8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally
</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
</span>
C: m=4
<span>4. When the expression is factored x²-3x-18 completely,
</span>
one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)
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