Answer:
0.632 ; 0.233
Step-by-step explanation:
Given that :
Conversation average λ = 1/5 = 0.2
Using the poisson distribution function :
P(x) = 1 - e^(-λ/x)
p(< 5) = 1 - e^-(1/5 * 5)
P(<5) = 1 - e^-1
P(< 5) = 1 - 0.3678794
= 0.6321205
= 0.632
B.) between 5 and 10 minutes
5 < x < 10
P(x< 5) - p(x< 10)
P(< 5) = 1 - 0.3678794 = 0.6321205
P(< 10) = 1 - (e^-1/5 * 10)
P(< 10) = 1 - e^-2 = 1 - 0.1353352 = 0.8646648
P(< 10) - P(<5)
0.8646648 - 0.6321205
=0.2325443
= 0.233
2
An Intenet cafe charges $3.75 to use a computer and $.45 per minute while accessing the Internet. What function rule describes this situation?
AU=373 +0.45
B752-0.45
C) = 3.75 +0.451
D) f(t)= 3.75 -0.45
Answer:
f(t)=3.75+0.45t
Step-by-step explanation:
Solve for x: 6x + 2 = 4x - 1
A fishing guide charges a $150 fee per fishing trip plus $60 per person in a group. The guide charged a group $630 for a fishing trip.
How many people were in the group?
Answer:
8 people
Step-by-step explanation:
$630-$150= 480
480 divided by 60 dollars= 8 people
Answer:
8 people are n this group
Step-by-step explanation:
60 x 8 = 480 +150 = 630
plz help me will give brainlie
Answer:
el nino : warms water
both: impacts climate and occurs in the Pacific Ocean
la nina: cools water
Step-by-step explanation:
Please look at the picture and help me with this question
Answer:
Step-by-step explanation:
f(x) = 4^x
g(x) = f(x -1) + 3
g(x) = 4^(x - 1) + 3
See the diagram that is below.
Red line: f(x) = 4^x
Blue line: g(x) = f(x - 1) + 3
The graph has been transformed so that f(x) moves upwards by 3 unitsw to get to g(x)
Furthermore, if x = 0 the y intercept for f(x) = 1
If x = 0 then g(x) moves up 3 spaces by virtue of the 3, and and up another 1/4 because the first term becomes 4^-1 = 1/4. This 1/4 gets added to the 3 to give 3 1/4
A 5 inch x 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches
larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
Answer:
Perimeter = 28 + 8x inches
Step-by-step explanation:
Length of the photograph = 7 inches
Width of the photograph = 5 inches
Both the length and width of the frame are 2x inches larger than the width and length of the photograph.
Length of the frame = 7 inches + 2x inches
Width of the frame = 5 inches + 2x inches
Perimeter of the frame = 2(Length + width)
= 2{(7+2x) + (5+2x)}
= 14 + 4x + 10 + 4x
= 28 + 8x inches
Perimeter = 28 + 8x inches
Problem 10 / (Second Session 2006)
To buy two copybooks and one pen we must pay 2750 L. L, and to buy four copybooks and three pens we must
pay 7750 L. L. The preceding information is translated into the following system:(2x+y=2750
14x + 3y = 7750
1. What does x and y represent in this system?
2. Which information is translated by the equation 4x + 3y = 7750?
3. Solve the preceding system, showing the followed steps in detail, to find the price of a copybook and the price of a pen.
Answer:
Find other solutions in explanation
x = 250
y = 1750
Step-by-step explanation:
x = cost per copybook
y = cost per pen
2. Sum of the cost of 4 copy books and 3 pen is equal to 7750
3.)
2x+y=2750 - - (1)
4x + 3y = 7750 - - - (2)
From (1)
y = 2750 - 2x
Substitute y = 2750 - 2x into (2)
4x + 3(2750 - 2x) = 7750
4x + 8250 - 6x = 7750
-2x = - 500
x = 500/2
x = 250
y = 2750 - 2(500)
y = 2750 - 1000
y = 1750
Is there such a number? Is there the largest negative number?
Answer:
the largest negative number is -1
Step-by-step explanation:
Which graph shows a dilation?
Based on the given graphs, the graph that shows a dilation is the fourth graph.
How to show dilation?When a shape is dilated, it means that a certain figure is used to reduce the shape's dimensions such that it becomes smaller. This certain figure is known as the scale factor.
When a dilation happens, the only thing that changes is the size of the shape. The orientation of the shape remains the same and so does the shape itself.
From this, we can tell that the graph that shows a dilation is the last graph which shows a dilation because the shape becomes smaller but remains the same otherwise.
Find out more on dilation at https://brainly.com/question/3457976
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Given that a = 4.8 × 104 and that b = 8 × 10−3
Calculate the following, expressing each answer in standard form. Working must be shown
i) ab
2
Answer:
3.84 * 10^0
Step-by-step explanation
Given the following values;
a = 4.8 × 104 and that b = 8 × 10−3
We are to find the product ab
ab = (4.8 × 10^4)(8 × 10^−3)
ab = (4.8*8)(10^4 * 10^-3)
ab = 38.4 * 10^(4-3)
ab = 38.4 * 10^-1
ab = 3.84 * 10 * 10^-1
ab = 3.84* 10^0
Hence the product in standard form is expressed as 3.84 * 10^0
y-4=3(x-1) identify the slope
Answer: m = 3
Step-by-step explanation: convert to standard form 3x - y = -7
slope using standard form
What is the slope?
PLS HELPP
A café sells a regular cup of coffee for $1 and
a large cup for $1.50. Melissa and her friends buy 5
cups of coffee and spend a total of $6. Explain how
to write and solve a system of equations to find the
number of large cups of coffee they bought.
if x is a regular cip of coffee and y is a large cup of coffee. the first part of the equation being the number of the cups of coffee and the second part expressing the price. using the method of substitution we solve for x in the first equation
x= 5-y
and then we solve for y
then we substitute the value found in the easiest equation which would be the first one and we solve for x
x + 2 = 5
x + 2 - 2 = 5 - 2
x = 3
so its 3 regular cups and 2 large
Plzzz help dhdhsvdbdbdbdbsgsbgdgdgdbd
Answer:
-932
Step-by-step explanation:
give me brainlest.
A school is going on a field trip. There are 4 buses with 36 students on each bus and 3 buses with 42 students on each bus. How many students are going on a field trip?
Answer:
270 are going on the trip
Step-by-step explanation:
4 times 36 is 144
3 times 42 is 126
126+144=270
The total number of students going for the school trip is 270 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of students going for the school trip be = A
Now , the equation will be
The number of buses with 36 students = 4 buses
So , the total number of students in 4 buses = 4 x 36 students
The total number of students in 4 buses = 144 students
And ,
The number of buses with 42 students = 3 buses
So , The total number of students in 3 buses = 3 x 42
The total number of students in 3 buses = 126 students
Now , the total number of students going for the school trip A = total number of students in 4 buses + total number of students in 3 buses
The total number of students going for the school trip A = 144 + 126
The total number of students going for the school trip A = 270 students
Therefore , the value of A is 270 students
Hence ,
The total number of students going for the school trip is 270 students
To learn more about equations click :
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Write an equation in slope-intercept form with the given slope and y-intercept.
Answer:
It’s already in slope intercept form y=1.5x-1
Step-by-step explanation:
y = Mx + b
Kathy works in a law office. Her annual salary is $42000. Kathy is paid monthly and pays an income tax rate of 20% on her earnings over $1000, plus $53.50. How much income tax does Kathy pay each month?
Answer:
$8,453.50
Step-by-step explanation:
Annual salary = $42000
Income tax rate = 20% on her earnings over $1000 + $53.50
Income tax = 20% of $42000 + $53.50
= 20/100 × 42,000 + 53.50
= 0.2 × 42,000 + 53.50
= 8,400 + 53.50
= $8,453.50
Income tax = $8,453.50
Answer:
42000 divided by 12 = 3500
3500 - 1000 = 2500
2500=20100
x = 500 + 53.50
Answer: $553.50 per month in taxes.
Step-by-step explanation:
The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
a.) (2, -4)
b.) (-4, -4)
c.) (-4, 0)
d.) (-4, -2)
Tia drinks 64 ounces of water each day.which is equal to 8 cups during school she drinks 6½ cups of water .tia wants to know the amount of water she drinks ounces what's the unit rate? pls hurry it's due in 30min
Answer:
52 because in 1 cup equivalent to 8 ounces.. if she drinks 6 cups that is 48 ounces plus the half cups 4 ounces so 52 ounces all in all
Answer:
52
Step-by-step explanation:
quick and easy plz help
solve the linear equations by graphing
Answer:
Show a photo
Step-by-step explanation:
Find The value of (1.6)0
Answer:
obviously the answer is Zero (0)
A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 inches more than 5x the length of the first piece. Find the lenth of the pieces.
Answer:
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Step-by-step explanation:
A 42-inch piece of steel is cut into 3 pieces
Let the lengths be represented as:
1st piece = Piece A
2nd piece = Piece B
Third Piece = Piece C
Hence:
A + B + C = 42
The 2nd piece is twice as long as the 1st piece
B = 2A
The 3rd piece is 2 inches more than 5 times the length of the first piece.
C = 5A + 2
Hence: we substitute
A + B + C = 42 inches
A + 2A + 5A + 2 = 42 inches
8A = 42 - 2
8A = 40 inches
A = 40 inches/8
A = 5 inches
Solving for B
B = 2A
B = 2 × 5 inches
B = 10 inches
Solving for C
C = 5A + 2
C = 5 × 5 + 2
C = 25 + 2
C = 27 inches
Therefore, the lengths of the 3 pieces =
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
A scale has a percent error of 6%. The scale reads the mass of a book as 600 g. Which statement describes what the actual mass of the book could be? The actual mass of the book is either 300 g or 900 g. The actual mass of the book is either 564 g or 636 g. The actual mass of the book is either 594 g or 606 g. The actual mass of the book is either 550 g or 610 g. HELP ASAP FIRST TO ANSWEAR GET BRANLYIEST 20 POINTS
Answer:
between 564 gr and 636 gr
Step-by-step explanation:
If the percent error is 6% (0.06 in decimal form) of 600 gr, then the error is :
0.06 * 600 gr = 36 gr
Therefore the actual mass of the book is between 600 - 36 = 564 gr and 600 + 36 = 636 gr.
Answer:
between 564 grams and 636 grams
A pyramid has a side length of 35 meters and the height of the pyramid is 22 meters What measurement is closest to the volume of the pyramid in cubic meters
Answer:
8983 m³
Step-by-step explanation:
The volume of a pyramid is :
[tex]V = \dfrac{s^2 h}{3}[/tex]
where;
s = length of the side
h = height
[tex]V = \dfrac{35^2 \times 22}{3}[/tex]
[tex]V = \dfrac{26950}{3}[/tex]
V = 8983.33
The measurement closest to the volume is approximately 8983 m³
$375 at 6% for 2 years
*please be serious*
Solve for the y intercept and then for the x intercept .
x-2y=8
**ALSO DON’T ANSWER IF YOU WONT SHOW YOUR STEPS ****
Answer:
x intercept is 8
y intercept is 4
Step-by-step explanation:
x-intercept -> format is (x, 0)
We know that y=0, so we can substitute that in and solve for x to find the x-intercept. x-2y = x - 2(0) = x = 8. Therefore, the x-intercept is 8.
y-intercept -> format is (0, y)
We know that x=0, so we can substitute that in and solve for y to find the y-intercept. x-2y = 0 - 2y = 2y = 8 -> y =4. Therefore, the y-intercept is 4.
I hope this helps! :)
%100 is shown on the following tape diagram. What percent is represented by the entire tape diagram?
Answer
300
Step-by-step explanation:
The answer would be 300 because if you look at the first shaded and you see that it's worth 300% you can auotmatically assume that if you shade in 2 more it'll be 300%.
what is the slope of (5,7) and (-2,0)
Answer:
Slope: 1
Step-by-step explanation:
In this question, we need to find the slope with the given points.
To find the slope, we would use the equation:
m = y2-y1/x2-x1
Plug in your coordinates and solve:
m = 0 - 7/-2 - 5
m = -7/-7
Two negatives cancel each other to make a positive, and 7/7 = 1
m = 1
This means that the slope would be 1.
Step-by-step explanation:
(5,7)=(X1,Y1)
(-2,0)=(X2,Y2)
slope(m)=y2-y1/x2-x1
=0-7/-2-5
=-7/-7
=canceled each other then answer is 1
Which graph represents a linear relationship?
