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vivado [14]
4 years ago
7

Two fifths of the children in the nursery were boys. What was the ratio of boys to girls in the nursery?

Mathematics
1 answer:
Shtirlitz [24]4 years ago
6 0
The answer would be 2:3
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For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
2 years ago
5. During the season, the Rangers played 25 games. They won 14 of the games.
sertanlavr [38]
Answer is 11/25 games lost which is 44%.

Step by step. 25 games minus 14 they won equals 11 games lost out of 25.

11 out of 25 = 11/25.

11/25 as a % - 11 divided by 25 = .44 which is 44%.

Check your work, 44% of 25 games = 11 games lost.
Problem solved.
6 0
2 years ago
Help ASAP do both questions for 10 points
zlopas [31]

Answer:

Step-by-step explanation:

I'm guessing A and J. Makes the most sense.

5 0
3 years ago
A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order
ELEN [110]
The correct answer is B, 14 boxes of pens
8 0
3 years ago
Read 2 more answers
Pls help. even if it’s just one question
Yanka [14]

Answer:

a, (5;1) R = \sqrt{7}

b, (-2; 4) R = 2\sqrt{2}

c, (4;7) R = 7

d, (-3; -6) R = 7

Step-by-step explanation:

6 0
3 years ago
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