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3 years ago

3(2x-5)=2(3x-2)solving equation with variable on both sides

Mathematics

1 answer:

Andre45 [30]3 years ago

7 0

Answer:

6x - 15 = 6x - 4

-15 not equal to -4

there is no solution

Step-by-step explanation:

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Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

3 years ago

Find the equation of a line, in slope-intercept fotm of a line that passes through the point (9,2) and is perpendicular to the l

cricket20 [7]

Considering the definition of perpendicular line, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 2x-y=8. Expressed in the form y = mx + b, you get:

-y=8 - 2x

y= (-2x +8)÷ (-1)

y= 2x -8

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 2. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (2)

<u><em>slope perpendicular line= -</em></u> $\frac{1}{2}$

So, the perpendicular line has a form of: y= - $\frac{1}{2}$ x + b

The line passes through the point (9, 2). Replacing in the expression for perpendicular line:

2= (- $\frac{1}{2}$ )× 9 + b

2= - $\frac{9}{2}$ + b

2+ $\frac{9}{2}$ = b

Finally, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

6 0

2 years ago

How to find the unit rate of 346 mi on 22 gal

nydimaria [60]

Divide 346 mi by 22 gal.
The quotient will be "miles per gallon", which is exactly what you want.

3 0

4 years ago

Read 2 more answers

What is the area of a circle whose radius is 4 ft?

pychu [463]

It would be 50.24 ft
BTW in this case I used 3.14 for pi

5 0

3 years ago

Read 2 more answers

How do i work this out

maxonik [38]

so that graph is mostly showing you which ones are greater so the first one woulld me 0.9 then 5.2 and just keep on going so here is the answer.

0.9,5.2,9.0,6.1,8.3,10.0,12.3

4 0

3 years ago

3(2x-5)=2(3x-2)solving equation with variable on both sides ​

3(2x-5)=2(3x-2)solving equation with variable on both sides