Ask question

Ask question

All categories

2 years ago

13

50 POINTS!!! HELP ASAP! The table below shows the distribution of students by age in a high school

1 answer:

Damm [24]2 years ago

7 0

Answer: B.

Step-by-step explanation: The probability that a student is 15 years old includes those who are only 15: 450 students. This means that of 1,500 there are 450 students who are 15. The probability is set up as: 450/1,500 or 0.30.

You might be interested in

Step by step <br> answer <br> please

Airida [17]

Answer:

C. 15

Step-by-step explanation:

<h2><em><u>∠ADC=∠ABC/2=30/2=15</u></em></h2>

7 0

3 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

2 years ago

Divide $4800 between Kofi and Kweku so that Kofi gets three times what Kweku gets

shusha [124]

Answer:

see explanation

Step-by-step explanation:

let x be the amount Kweku gets then Kofi gets 3x , so

x + 3x = 4800

4x = 4800 ( divide both sides by 4 )

x = 1200

that is

Kweku gets $1200

Kofi gets 3 × $1200 = $3600

7 0

1 year ago

Rhian sat a math test and an english test.In the maths test she scored 14 out of 17.In the english test she scored 31 out of 39.

Dvinal [7]

Answer:

The maths test

Step-by-step explanation:

If you convert both of the results to percentage,

Maths:

$\frac{14}{17} \times 100 = 82\%$

English:

$\frac{31}{39} \times 100 = 79\%$

You'll see that she scored better in the maths test.

4 0

3 years ago

Please help me out!! :D

Rudik [331]

$T_n = a_1 + d(n - 1)
$

$T_n = 52 + 12(n - 1)$

$T_n = 52 + 12n - 12$

$T_n = 40 + 12n$

When n = 102,
$T_{102} = 40 + 12(102) = 1264$

Answer: 1264

7 0

3 years ago