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3 years ago

The graph of a line has a slope of 5/2 and a y intercept of (0,3) write in standard form

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

standard equation $y=\frac{5}{2} x+3$ .

Step-by-step explanation:

Standard format of a linear equation is given as,

y=mx+c

where,

y is the dependent variable.

m is the slope/ gradient

x is the independent variable

c is the y-intercept

By substituting values to the above standard equation format we get;

$y=\frac{5}{2} x+3$ .

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A bag contains 36 marbles. 10 marbles are green, 6 marbles are blue, 18 marbles are yellow, and 2 marbles are purple.

alexdok [17]

Answer:

10/72 or 0.14

Step-by-step explanation:

There are 72 marbles in total and 10 of them are green. So, it is 10/72 or 1.388 rounded to the nearest hundredth is 0.14.

7 0

3 years ago

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand

Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean $\mu_x$ = np = 52 × 0.3085 = 16.042

The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

$Pr ( Y > 20) = P(Z >1 .338)$

From z tables

P(Y > 20) $\simeq$ 0.0903

7 0

3 years ago

A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?

lianna [129]

Answer:

The area of the sector is $12.8\pi\ units^2$

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

$\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2$

4 0

4 years ago

Read 2 more answers

In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population mov

Charra [1.4K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Following are the differential equation:

$\to P(C,S)t+1 = P(C,S)t+(- 0.06Ct +0.04St, 0.06Ct - 0.04St ) \ \ \ \\\\or \ \ \ \ \ \ \ \\\\ \to (0.94Ct + 0.04St, 0.96St + 0.06Ct)$

In equation:

$\to t = 0, \ as \ 2019\\\\\to Ct = 10,000,000 \\\\\to St = 800,000,000\\$

$\to P(C, S)1 = (0.94Ct + 0.04St, 0.96St + 0.06Ct) \\\\$

$= (0.94(10000000) + 0.04(800000), 0.96(800000) + 0.06(10000000))\\\\ = (9,400,000 + 32,000), (768,000 +6000000))\\\\ = (9432000, 1368000)$

$\to P(C, S)2 = (0.94(9432000) + 0.04(1368000), 0.96(1368000) + 0.06(9432000))$

$=(8,866,080 + 54,720), (1,313,280 + 565,920)\\\\=(8,920,800, 1,879,200)$

3 0

3 years ago

A _______ is a variable, an integer or a product of variables and<br> integers.

Assoli18 [71]

Product variation .

3 0

3 years ago