All categories

2 years ago

Solve this question in the following photo

Mathematics

1 answer:

katovenus [111]2 years ago

6 0

Answer:

55/43

Step-by-step explanation:

(x/y) = 7/3, (x^2/y^2)=49/9, multiply by 3 above and multiply 2 below, 3x^2/2y^2=147/18. Next apply C&D and you will get (3x^2+2y^2)/(3x^2-2y^2)=(147+18)/(147-18)=165/129=55/43

You might be interested in

Solve for each inequality. <br><br> 8 ≤ x - (-14)<br> 31 ≥ b - (-18)<br> -5 < n + (-1)

Gennadij [26K]

Answer:

$8 \leqslant x - ( - 14) \\ 8 \leqslant x + 14 \\ 8 - 14 \leqslant x + 14 - 14 \\ - 6 \leqslant x \\ x \geqslant - 6$

___o__o__

$31 \geqslant b - ( - 18) \\ 31 \geqslant b + 18 \\ 31 - 18 \geqslant b + 18 - 18 \\ 13 \geqslant b \\ b \leqslant 13$

__o__o__

$- 5 < n + ( - 1) \\ - 5 < n - 1 \\ - 5 + 1 < n - 1 + 1 \\ \\ - 4 < n \\ n > - 4$

I hope I helped you^_^

5 0

2 years ago

The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 25 gr

vampirchik [111]

Answer:

(a) between 300 grams and 350 grams (b) 95% (c) 5% (d) 83.85%

Step-by-step explanation:

We have that $\mu = 325$ grams and $\sigma = 25$ grams. Let's compute the following figures to use the empirical rule

$\mu + \sigma = 325 + 25 = 350$

$\mu + 2\sigma = 325 + 2(25) = 375$

$\mu + 3\sigma = 325 + 3(25) = 400$

$\mu - \sigma = 325 - 25 = 300$

$\mu - 2\sigma = 325 - 2(25) = 275$

$\mu - 3\sigma = 325 - 3(25) = 250$

using the image below that was made it with help of the empirical rule we find the next figures

(a) About 68% of organs will be between 300 grams and 350 grams

(b) 95% of organs weights between 275 grams and 375 grams

(d) 83.85% of organs weights between 300 grams and 400 grams

5 0

3 years ago

It takes Kaeden 6 min to type two-thirds of a page. At this rate, how long will it take him to type a 5-page report?

Artist 52 [7]

$\begin{array}{ccc}\frac{2}{3}&-&6min\\\\5&-&xmin\end{array}\\\\\\cross\ multiply\\\\\frac{2}{3}x=5\cdot6\\\\\frac{2}{3}x=30\ \ \ \ /\cdot\frac{3}{2}\\\\x=15\cdot3\\\\x=45\ (min)\leftarrow answer$