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3 years ago

If a dice is rolled 18 times, how many times is the number 2 expected to come up? *

Mathematics

1 answer:

mart [117]3 years ago

8 0

Answer:

the answer is B. 3 times

that's what I think

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

2 years ago

(05.05)

kari74 [83]

Answer:

Step-by-step explanation:

f(-1)=2(-1)+2+1

f(-1)=-2+2+1

f(-1)=1

f(0)=2(0)+2+1

f(0)=0+2+1

f(0)=3

Use slope formula for the average rate of change.

(y2-y1)/(x2-x1)

(3-1)/(0+1)

(2)/(1)

Hope this helps!

If not, I am sorry.

5 0

2 years ago

what is the tenth term of the geometric sequence that has a common ratio of 13 and 36 as its fifth term

tresset_1 [31]

The formula will be an = a12n - 1 or an = (1)2n - 1

7 0

3 years ago

Solve pls brainliest

lesya [120]

Answer:

(5×6) -8 = 30 -8 = 22

the answer is 22

6 0

2 years ago

Read 2 more answers

Points click here . your welcome

hichkok12 [17]

Answer:

tysm

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers