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2 years ago

Find the slope from the graph below

Mathematics

1 answer:

larisa [96]2 years ago

7 0

You go up 4 times and go to the left 2 times so the slope would be 4/-2

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Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countr

sveta [45]

Answer:

Country A produces 20,000,000 & Country B produces 5,000,000

Step-by-step explanation:

Let

amount of diamonds produced by country A be x

and

amount of diamonds produced by country B be y

Since, Country A produces 4 times that of Country B, we can write:

x = 4y

Also, both countries produces a total of 25,000,000 carats, so we can write:

x + y = 25,000,000

Now, we need to find x and y. Putting 1st equation into 2nd equation, we get equation in y. Then we solve for y:

x + y = 25,000,000

4y + y = 25,000,000

5y = 25,000,000

y = 25,000,000/5

y = 5,000,000

And now, x = 4y, so x = 4(5,000,000) = 20,000,000

So Country A produces 20,000,000 & Country B produces 5,000,000 diamond carats

7 0

3 years ago

Suppose that Y has density function

zvonat [6]

I'm assuming

$f(y)=\begin{cases}ky(1-y)&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}$

(a) f(x) is a valid probability density function if its integral over the support is 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=k\int_0^1 y(1-y)\,\mathrm dy=k\int_0^1(y-y^2)\,\mathrm dy=1$

Compute the integral:

$\displaystyle\int_0^1(y-y^2)\,\mathrm dy=\left(\frac{y^2}2-\frac{y^3}3\right)\bigg|_0^1=\frac12-\frac13=\frac16$

So we have

k / 6 = 1 → k = 6

(b) By definition of conditional probability,

P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4 and Y ≤ 0.8) / P(Y ≤ 0.8)

P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4) / P(Y ≤ 0.8)

It makes sense to derive the cumulative distribution function (CDF) for the rest of the problem, since F(y) = P(Y ≤ y).

We have

$\displaystyle F(y)=\int_{-\infty}^y f(t)\,\mathrm dt=\int_0^y6t(1-t)\,\mathrm dt=\begin{cases}0&\text{for }y$

Then

P(Y ≤ 0.4) = F (0.4) = 0.352

P(Y ≤ 0.8) = F (0.8) = 0.896

and so

P(Y ≤ 0.4 | Y ≤ 0.8) = 0.352 / 0.896 ≈ 0.393

(c) The 0.95 quantile is the value φ such that

P(Y ≤ φ) = 0.95

In terms of the integral definition of the CDF, we have solve for φ such that

$\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=0.95$

We have

$\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=\int_0^\varphi 6y(1-y)\,\mathrm dy=(3y^2-2y^3)\bigg|_0^\varphi = 0.95$

which reduces to the cubic

3φ² - 2φ³ = 0.95

Use a calculator to solve this and find that φ ≈ 0.865.

8 0

3 years ago

Write an equation that represents a line that is parallel to y=3/4x and passes through the point (2,1).

Kisachek [45]

Insert the slope and point into point-slope form:-

y - 1 = 3/4(x - 2)
y = 3/4x - 6/4 + 1
y = 3/4x - 1/2

6 0

3 years ago

Write each rational number as a terminating decimal. 1. 19/20 2. -1/8 3. 17/5

Dima020 [189]

19/20= 0.95
-1/8= -0.125
17/5= 3.4
HOPE THIS HELPS!

8 0

3 years ago

Read 2 more answers

A $1,287.99 TV was marked down at a 12% discount. What is the discounted price (or the reduced selling price)?

son4ous [18]

Answer:

1133.4312 US$

Step-by-step explanation:

Just use a calculator or write it down

7 0

2 years ago

Read 2 more answers