Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.
What is the uniform probability distribution?It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.
The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).
Hence, applying the formula, with the bounds, we have that:
P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.
The measure above is the desired probability.
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what property is
-2(x-y)=-2x+2y
Answer:
Distributive.
Step-by-step explanation:
This is the distributive property. :)
Given the following values, find the perimeter of the figure shown below:
AB = 8 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm.
Do not include "cm" with your response.
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.
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Find the slope of a line perpendicular to the line -3x + 4y = 7.
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]
True or False : If a collection has two sets of values that appear the same amount of time and more than any other number in the set , it is considered bimodal .
Answer:
Step-by-step explanation
it is true
A mobile phone manufacturing unit produces a certain number of mobile phones in a day. The cost of each phone was found to be 55 minus the number of mobile phones produced in a day. On a particular day, the total cost of production was $750, find the number of mobile phones produced on that day.
Answer:
−55x+750=0
Step-by-step explanation:
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 3 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 21 and 2 over 3 square inches. answers: 5 and 1 over 12
6 and 2 over 3
18 and 5 over 12
56 and 1 over 3
The Length of the rectangle is: B. 6 2/3.
How to Find the Length of a Rectangle?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.
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The following tables represent a function and its inverse. Compare the functions.
h(x)
h–1(x)
Which statements describe the functions? Check all that apply.
The domain of h–1(x) is the range of h(x).
The range of h–1(x) is the range of h(x).
The x-intercept of h–1(x) is the x-intercept of h(x).
The x-coordinate of the x-intercept of h–1(x) is the y-coordinate of the y-intercept of h(x).
The maximum of h(x) is the largest x-value of
h–1(x).
the 3 correct statements are:
The domain of h⁻¹(x) is the range of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y-coordinate of the y-intercept of h(x).Which statements describe the functions?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:
The domain of h⁻¹(x) is the range of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y-coordinate of the y-intercept of h(x).These 3 are the 3 correct statements.
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For which value of x is line l parallel to line m?
(Click document to see image.)
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
i (x)=x² +3
j (x)=4x-3
Find (ij) (-1)
For a ride on a rental scooter, Jose paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Jose's ride was $16.48 . For how many minutes did Jose ride the scooter?
Answer:
40
Step-by-step explanation:
Answer:
6+8x=
16.8
x=
Step-by-step explanation:
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on an $80,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount..
Enter
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
how should i find the volume of the sphere?
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
Delcie is asked to rewrite the expression 500 using an exponent. How should Delcie
correctly rewrite the expression?
What does it mean when an answer has the positive and negative sign at the same time?
Solve the following pair of simultaneous equations by drawing a graph.
y – 2x = 1 and 2y – x = 8
Answer:
[tex]x = 2[/tex]
[tex]y = 5[/tex]
Step-by-step explanation:
The graph is in the attached image above
Answer:
(2, 5)=======================
Given equations:
y - 2x = 1 and2y - x = 8Solve 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)
a bucket holds c liters of water but a jar holds d liters more how much water do they hold together
The bucket and the jar together will hold (c + d) litres of water.
What is defined as linear equation on two variables?A linear function does have a positive relationship, so increasing one variable (input variable) causes a rise in the second variable (output variable), implying that the variables have always been directly proportional. As a result, the graph of such a linear function is a straight line with a constant slope.Correspondingly, a linear equation is a first-order algebraic equation with two variables and terms with exponents of one.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.
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What is 5 1/4 hours after 7:00 p.m
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!
____
Line A passes through (0, -3) and (5, -1). Find the equation of Line A.
Answer:
[tex]y=\frac{2}{5}x-3[/tex]
or
[tex]y+3=\frac{2}{5} (x-0)[/tex]
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:In order to find the equation of a line, we must identify point (x,y) and slope (m). Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex]Slope-intercept formula: [tex]y=mx+b[/tex]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]
how do i d+2 in words
Answer:
9
Step-by-step explanation:
what is 0.2 writen as a %
find the measure of the indicated angle that makes lines u and v parallel
To make lines u and v parallel, the indicated angle must be 108°.
What are angles?An angle is a figure in Plane Geometry formed by two rays or lines that share a common endpoint. "Angle" comes from the Latin word "angulus," which means "corner." The two rays are referred to as the sides of an angle, and the common endpoint is referred to as the vertex.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.
At the intersection of two lines, two adjacent angles must add up to 180°.According to the first criterion, the missing angle denoted by a "?" must have the same measure as the angle just below the 72° angle.According to the second (and previously used) criterion, we must have:
? + 72° = 180°When we solve that, we get:
? = 180° - 72° = 108°Therefore, to make lines u and v parallel, the indicated angle must be 108°.
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use the discriminant to find the number of real solutions of the equation
3x 2 -5x +4=0
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.
DiscriminantThe 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.
ApplicationFor 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.
ynthia Besch wants to buy a rug for a room that is 20 ft wide and 26 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 280 square feet of carpeting. What dimensions should the rug have?
Answer:
Step-by-step
f has a range of (-4, infinity), and a graph that is symmetric about the line x = -1 , and has a y- intercept of -3
The graph of the parabola is given at the end of the answer.
What is the equation of a parabola given it’s vertex?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.
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The sum of an integer and 7 times the next consecutive odd integer is 6. Find the value of the greater integer.
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.
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the answer is 1.
i just did this question on delta
How we use scientific calculator
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:
Please explain how to do this, I have no clue!!!! Literally will give 50 points! Maybe even brainliest, just explain how to do it!!!
Solve the following equation. x/6 + 4 = 20 Then place the correct number in the box provided.
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
4.
STEM In 10 minutes, a heart can beat 700 times. At this rate,
in how many minutes will a heart beat 140 times? At what rate.
can a heart beat? (Example 4)
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.
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Only answer if you are beinggreat78!
[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]
Option AAnswer:
D
Step-by-step explanation:
The answer and work is in the attached screenshot! :)
Find last year's salary if, after 2% pay raise, this year's salary is 37,740
The last year's salary is found as 33078.43.
How do you calculate the percentage of a number?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:
The unitary method is implemented.By changing the denominator of the fraction to 100.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.
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