Write a description of this inequality: <br> -5a+3>1

Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distrib

MaRussiya [10]

The required linear equation representing the distribution is

p(x) = -0.1x + 0.5

From the table given, we can generate the equation for the distribution.

Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)

The linear expression will be in the form p(x) = mx + b

m is the rate of change:

b is the intercept

Gete the rate of change:

m = 0.3-0.4/2-1

m = -0.1/1

m = -0.1

Get the intercept.

0.4 = -0.1(1) + b

0.4 = -0.1 + b

b = 0.4 + 0.1

b = 0.5

Hence the required linear equation representing the distribution is

p(x) = -0.1x + 0.5

Learn more on linear equation here: brainly.com/question/18176080

5 0

2 years ago

A pendulum is 18 feet long. It's central angle is 44°. The pendulum makes one back and forth swing every 12 seconds. To the near

Gekata [30.6K]

Answer: it swings 138 feet in 1 minute

Step-by-step explanation:

The back and forth movement of the pendulum represents the length of the arc of the circle.

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = length of pendulum = 18 feet

θ = 44°

Length of arc = distance moved by the pendulum in one direction.

Therefore,

Length of arc = 44/360 × 2 × 3.14 × 18

Length of arc = 13.816 feet

The pendulum makes one back and forth swing every 12 seconds. It means that the distance it covers in one back and forth movement is

13.816 × 2 = 27.632 feet

If the pendulum swings 27.632 feet in 12 seconds, then

In 60 seconds(1 minute), the distance covered would be

(60 × 27.632)/12 = 138 feet

7 0

3 years ago

WILL GIVE BRAINLIEST|<br><br><br> Beginning in 2011, Yemen was drawn into a civil war because of:

Lady bird [3.3K]

Answer:

Yemen was a poor country with a government widely acknowledged to be corrupt, with a large amount of weapons in private hands. By 2011, the country was already facing challenges from al Qaeda-linked militants and separatists in the south and Zaydi Shia rebels in the north.

8 0

2 years ago

One lap around the track is 400 meters. If Sean ran around the track 5 and 1/2 times, how far did Sean run?

telo118 [61]

2200 meters...I think

7 0

3 years ago

Read 2 more answers

Solve the given equation over the interval [0, 2π): csc^2 x + 2 csc x = 0.

Anastaziya [24]

$csc^2x+2cscx=0$
Factor out the GCF which is csc x
$cscx(cscx+2)=0$
Set each factor equal to zero.
$cscx=0$ or $cscx+2=0$
Using the reciprocal sine function we can replace csc in the equations.
$\frac{1}{sinx} =0$ or $\frac{1}{sinx} +2=0$
The first equation yields 1 = 0 which is not true. However the second equation does offer 2 possible answers.
When solved for sinx you get $sinx=- \frac{1}{2}$
The sine function is negative in the 3rd and 4th quadrants.
You can use the unit circle or the $sin^-^1$ feature on your calculator $sin^-^1(1/2)$
$210^o or 330^o$ alter radian answer which is probably what you want is $\frac{7 \pi }{6} or \frac{11 \pi }{6}$

8 0

3 years ago

Write a description of this inequality: -5a+3>1