4.30. An internet service provider has two connection lines for its customers. Eighty percent of
customers are connected through Line I, and twenty percent are connected through Line II.
Line I has a Gamma connection time with parameters a = 3 and λ = 2 min-¹. Line II has
a Uniform(a, b) connection time with parameters a = 20 sec and b = 50 sec. Compute the
probability that it takes a randomly selected customer more than 30 seconds to connect to
the internet.

According to the average rate, Heart can beat 140 times in = 2 minutes and Rate of heart beat= 70 beat per minute .

According to the statement

We have to find that the rate of the heart beat.

So, For this purpose, we know that the

Average rate is a measure of how much the function changed per unit, on average, over that interval.

From the given information:

In 10 minutes, a heart can beat 700 times. At this rate,in how many minutes will a heart beat 140 times?

Then

Heart can beat 700 times in = 10 minutes .

Heart can beat 140 times in = 10*140/700 minutes .

Heart can beat 140 times in = 1400/700 minutes .

Heart can beat 140 times in = 2 minutes .

Rate of heart beat : 140/2 beat per minute.

Rate of heart beat= 70 beat per minute .

Therefore, According to the average rate, Heart can beat 140 times in is 2 minutes and Rate of heart beat is 70 beat per minute.

Learn more about Average rate here

https://brainly.com/question/1476828

#SPJ9

The last year's salary is found as 33078.43.

Divide the value by the total value as well as multiply the result by 100 to get the percentage. (amount/total amount), the formula for determining the percentage is 100%.

A percentage is defined as a portion of the whole expressed in the form of 100. There are two ways to calculate a percentage:

As per the given question;

The salary for the current year is given as  37,740.

There is the increase in 2%.

Let the last year's salary be x.

Then 2% of x will be;

x + 2%of x = 37,740

x + 2x/100 = 37,740

x + 0.02x = 37,740

1.02x = 37,740

x =  37,740/1.02

x = 33500

Therefore, the value of last year's salary is was 33,500.

To know more about the percentage of number, here

brainly.com/question/24877689

#SPJ9

Answer:

12:15 or a quarter past 12

Step-by-step explanation:

Math.

The correct answer is:   " 12:15 a.m."

Step-by-step explanation:

1 hour = 60 minutes {"exact equivalent."}

 ⇒ p.m.  =  afternoon or evening;

 {Note: "p.m." stands for: post meridiem —in Latin terminology.}.

____

7 hours + 5 hours = 12 hours;  12 hours + [tex]\frac{1}{4}[/tex] hours  = 12[tex]\frac{1}{4}[/tex] hours.  

____

1) 1st hour:    7 pm - 8 pm

2) 2nd hour:  8 pm - 9 pm

3) 3rd hour:   9 pm - 10 pm

4) 4th hour:   10 pm - 11 pm

5) 5th hour:  11 pm - 12 am ;

Note:  After 5 [five] hours past 7:00 pm;

The determined time, at this stage of solving this problem, is: 12am ; {commonly known as midnight ; based on the "am/pm" time schedule.

 {Note: "a.m." stands for:  ante meridiem— in Latin terminology.}

Then: we add:  " [tex]\frac{1}{4}[/tex] " hour to: 12 am.
____
[tex]\frac{1}{4}[/tex] hr = 0.25 hr.

{ [tex](\frac{1}{4} hr )* \frac{60minutes}{hr} =?[/tex] } ;

→  The units of "hr" [for: "hour(s)"]; cancel out ; since: "[ (hr ÷ hr) = 1 ] ".

and we have:  [tex]\frac{1}{4}* 60= 60/4 =[/tex] [tex]15 min.[/tex]

____

So:  12am + 15 minutes;  which is: 12:15 a.m. → the correct answer.

Hope this is helpful to you!  
     Best wishes in your academic endeavors!
____

The perimeter of the given figure for the given values is equal to 24units.

As given in the question,

Given values of the figure,

AB = 8 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm

HG = AB - (EF + CD)

      = 8- (3 +1)

      = 4 units

AH = (BC-DE)+FG

     = (3-2)+1

     =2units

Perimeter of the given figure

= AB + BC+ CD+ DE+ EF+ FG+ GH+ HA

= 8+ 3+ 1+ 2+ 3+ 1+ 4+ 2

=24 units

Therefore, the perimeter of the given figure for the given values is equal to 24units.

Learn more about perimeter here

brainly.com/question/6465134

#SPJ1

Answer:

x = 96

Step-by-step explanation:

[tex]\frac{x}{6} +4=20[/tex]

1. Isolate the variable 'x'.

1a. Subtract 4 so the equation becomes [tex]\frac{x}{6} =16[/tex]

2a. Multiply both sides by 6 to turn the fraction into a normal number, which becomes x=96.

Answer:

[tex] \sf \large \: x=96[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

x/6+4=20

Step 1: Simplify both sides of the equation.

1/6x+4=20

Step 2: Subtract 4 from both sides.

1/6x+4−4=20−4

1/6x=16

Step 3: Multiply both sides by 6.

6*(1/6x)=(6)*(16)

x=96

[tex]s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} [/tex]

The shaded region represents 1.5 grids

[tex]1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} [/tex]

Answer:

D

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

Answer:

[tex]y=\frac{2}{5}x-3[/tex]

or

[tex]y+3=\frac{2}{5} (x-0)[/tex]

Step-by-step explanation:

We are given two points on Line A: (0,-3) and (5,-1). We can assign each integer to a variable in the slope formula (see above):

[tex]x_1=0[/tex]

[tex]y_1=-3[/tex]

[tex]x_2=5[/tex]

[tex]y_2=-1[/tex]

As we have identified point, we can now work to identify slope by substituting our points into the slope formula:

[tex]m=\frac{-1-(-3)}{5-0}=\frac{2}{5}[/tex]

Now that we have identified both point and slope for Line A, we can format these values in point-slope form. Substitute values into the formula:

[tex]y-(-3)=\frac{2}{5} (x-0)=y+3=\frac{2}{5}x[/tex]

Solve for [tex]y[/tex] to achieve an answer in slope-intercept form ([tex]y=mx+b)[/tex]:

[tex]y=\frac{2}{5} x-3[/tex]

Answer:

I'll answer the question in the picture first.

log(6) = 1.788

log(8) = 2.079

ln(6) = 1.792

ln(8)= 2.08

How to use a scientific calculator?

There are many different types of scientific calculators, so it is difficult to give a single answer to this question. However, most scientific calculators have a variety of buttons that perform different functions. Typically, there are buttons for the four basic operations ( addition, subtraction, multiplication, and division), as well as buttons for more complex functions such as square roots and exponential operations. To use a scientific calculator, simply press the buttons corresponding to the operations you want to perform.

Step-by-step explanation:

Answer:

x = 30°

Step-by-step explanation:

If l and m are parallel lines, then corresponding angles should be congruent.

  3x - 20 = 2x + 10

Add 20 to both sides,    

          3x = 2x + 10 + 20

         3x  = 2x + 30

Subtract 2x from both sides,

     3x - 2x = 30

                x = 30

The Length of the rectangle is: B. 6 2/3.

The area of a rectangle is calculated as: Area = (length)(width). Therefore, if we known the area of a rectangle and its width, we can find the length of the rectangle using:

Length of rectangle = area of rectangle / width of rectangle.

Given the following:

Area of a rectangle = 21 and 2 over 3 square inches

Width = 3 and 1 over 4 inches

Length of the rectangle = 21 2/3 ÷ 3 1/4

Length of the rectangle = 65/3 ÷ 13/4

Length of the rectangle = 65/3 × 4/13

Length of the rectangle = 260/39 = 6 2/3.

Learn more about rectangles on:

https://brainly.com/question/1549055

#SPJ1

Answer:

4600

Step-by-step explanation:

80000 is in 17001 and up category so the tax will be 5.75%. 80000/100 *5.75 = 4600

Answer:

−55x+750=0

Step-by-step explanation:

Answer:

Volume of sphere = 4.187x³

Step-by-step explanation:

[tex]\textsf {Volume of a sphere = $\dfrac{4}{3} \pi {r^2 }$}[/tex]

Here r = x

[tex]\textsf {Volume = $\dfrac{4}{3} \pi {x^2 }$}[/tex]

[tex]\textsf {Volume of cuboid = $4x^3$}\\[/tex]

[tex]\textsf {volume of sphere = $\dfrac{4}{3}\pi \cdot x^3$}[/tex]

[tex]\textsf {Since $\pi \approx 3.14$, this is} \approx \dfrac{4\cdot (3.14)}{3} x= 4.187x[/tex]

So volume of sphere of radius x = 4.187x³  is greater than cuboid volume of 4x³

Answer:

perpendicular slope = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 3x + 4y = 7 ( add 3x to both sides )

4y = 3x + 7 ( divide through by 4 )

y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex]

the 3 correct statements are:

For a function f(x), we define the inverse function f⁻¹(x):

This means that, if for a given value of x = x₀ we have:

f(x₀) = y₀

Then:

f⁻¹(y₀) = x₀

From this, we can conclude that the domain of f(x) is the range of the inverse, and the range of f(x) is the domain of the inverse.

Then the statements that are correct are:

These 3 are the 3 correct statements.

If you want to learn more about inverse functions:

https://brainly.com/question/14391067

#SPJ1

Answer:

  zero real solutions

Step-by-step explanation:

You want the number of real roots of 3x² -5x +4 = 0 and determined by using the discriminant.

The discriminant of a quadratic equation ax²+bx+c=0 is ...

  d = b² -4ac

When d < 0, both roots are complex. When d = 0, there is one (repeated) real root. The number of real solutions is 2 when d > 0.

For this equation, a=3, b=-5, c=4, so the discriminant is ...

  d = b² -4ac = (-5)² -4(3)(4) = 25 -48 = -23

This means both roots are complex. There are no real solutions.

__

Additional comment

As confirmation, we can look at the graph. It does not cross the x-axis, so there are no (real) values of x that make the value of the quadratic be zero.

Answer:

Distributive.

Step-by-step explanation:

This is the distributive property. :)

Answer:

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Step-by-step explanation:

The graph is in the attached image above

Answer:

=======================

Given equations:

Solve by graphing, graph each line and find the point the lines intersect, this point is the solution.

See the attached, the solution is (2, 5)

Answer:

Step-by-step explanation

it is true

Answer:

40

Step-by-step explanation:

Answer:

6+8x=

16.8

x=

Step-by-step explanation:

Answer:

Step-by-step

To make lines u and v parallel, the indicated angle must be 108°.

So, if two parallel lines n and m intersect, then all the angles generated in line m must be exactly the same as the angles generated in line n.

According to the second (and previously used) criterion, we must have:

When we solve that, we get:

Therefore, to make lines u and v parallel, the indicated angle must be 108°.

Know more about angles here:

https://brainly.com/question/25716982

#SPJ1

The graph of the parabola is given at the end of the answer.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the range and the symmetry line, the vertex of the function is at (-1,-4) and:

h = -1, k = -4.

Hence:

y = a(x + 1)² - 4.

It has a y-intercept of -3, that is, when x = 0, y = -3, hence we use it to find a as follows.

-3 = a - 4

a = 1.

Hence the function is:

y = (x + 1)² - 4.

The graph of this function is given at the end of the answer.

More can be learned about the equation of a parabola at https://brainly.com/question/24737967

#SPJ1

The value of the greatest integer is equal to 1.

We are given that:

The sum of an integer and 7 times the next consecutive odd integer is 6

Consecutive numbers are the numbers that follow each other continuously in the order from smallest to largest. For example 34 and 35.

Let the first number be x.

Second number = x + 2 ( as we need an odd integer)

ATQ:

x + 7( x + 2) = 6

x + 7 x + 14 = 6

8 x = 6 - 14

8 x = - 8

x = - 1

x + 2 = - 1 + 2

= 1

Therefore, the value of the greatest integer is equal to 1.

Learn more about integer here:

https://brainly.com/question/17695139

#SPJ9

the answer is 1.
i just did this question on delta

The bucket and the jar together will hold (c + d) litres of water.

A linear equation in 2 variables [x and y] is any equation with the form:

ax + by = c and at least one of a or b being non-zero.

This is known as the equation's General Form.

For the given question;

The water hold by bucket = c litres.

The water hold by jar = d litres.

Thus, the water hold by both bucket and jar is is linear equation with two variable c and d.

Total water =  c + d

By, varying any value the total amount of the water will also get change.

Thus, total water hold by jar and bucket is (c + d) litres.

To know more about the linear equation on two variables, here

https://brainly.com/question/24085666

#SPJ9

Answer:

9

Step-by-step explanation: