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3 years ago

Please show the problem as a proportion along with work.

Mathematics

1 answer:

slavikrds [6]3 years ago

5 0

Answer:

x=18

y=24

Step-by-step explanation:

Let the number of boys in the camp = x

Number of girls = y

$\frac{x}{y}=\frac{3}{4}\\x=\frac{3y}{4}$ -----(A)

Total number of students = 42

x+y=42

Putting value of x from A

$\frac{3y}{4}+y=42\\\frac{3y+4y}{4}=42\\\frac{7y}{4}=42\\y=\frac{42 \times 4}{7}\\y=24$

Putting this value in A and solving for x

$x=\frac{3 \times 24}{4}\\x=18$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

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(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

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3 years ago

in a bag there are 6green balls4 blue balls and 5 yellow balls what is the probability of choosing a green ball

anyanavicka [17]

Answer:

50%

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the equation of the line passing

Ostrovityanka [42]

Answer:

y = 4x -14

Step-by-step explanation:

The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.

The slope equation is ...

m = (y2 -y1)/(x2 -x1)

m = (10 -2)/(6 -4) = 8/2 = 4

The y-intercept equation is ...

b = y - mx

b = 2 -4(4) = -14

The equation of the line is y = 4x -14.

7 0

2 years ago