Answer: y = 55x + 80
Step-by-step explanation:
Answer:
1. y = 55x + 80
2. the flat rate
3. The technician worked 4.5 hours
Step-by-step explanation:
Hope this helps!
A random sample of 48 was taken from a shipment of 10,080 light bulbs from Light Bulbs Express. Out of the 48 light bulbs, 5 were red. How many red bulbs would you expect in the entire shipment?
______________red bulbs (Round answer to the nearest whole number).
A random sample of 62 was taken from another shipment of 15,500 from Light Bulbs R Us. There were 6 red bulbs in the sample. How many red bulbs would you expect in the entire shipment?
_____________red bulbs (Round answer to the nearest whole number)
Which company has the highest ratio of red bulbs in their shipment?
Company ______ (Type either A or B)
Company A = Light Bulbs Express
Company B = Light Bulbs R Us
Answer:
1. Expected(Red) in Shipment A = 1,050
2. Expected(Red) in Shipment B = 1,500
3. Company A has highest ratio of red bulbs
Step-by-step explanation:
Given
Shipment A (Light Bulb Express):
Total Light Bulb = 10,080
Sample Size = 48
Red Bulbs = 5
To calculate the expected number of Red bulbs;
We start by calculating the probability of Red;
P(Red) = Number of Red / Sample Size
P(Red) = 5/48
Expected Number of Red Bulbs is calculated as follows;
Expected(Red) = P(Red) * Total Light Bulb
Expected(Red) = 5/48 * 10,080
Expected(Red) = 50400/48
Expected(Red) = 1,050
Hence, the expected number of red light bulbs in the entire shipment is 1,050
Given
Shipment B (Light Bulb R Us):
Total Light Bulb = 15,500
Sample Size = 62
Red Bulbs = 6
To calculate the expected number of Red bulbs;
We start by calculating the probability of Red;
P(Red) = Number of Red / Sample Size
P(Red) = 6/62
Expected Number of Red Bulbs is calculated as follows;
Expected(Red) = P(Red) * Total Light Bulb
Expected(Red) = 6/62 * 15,500
Expected(Red) = 93000/62
Expected(Red) = 1,500
Hence, the expected number of red light bulbs in the entire shipment is 1,050
The company with highest probability has the highest ratio;
For Company A (Light Bulb Express)
Probability = 5/48
Probability = 0.1042
For Company B (Light Bulb R Us)
Probability = 6/62
Probability = 0.0968
Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;
What is the surface area of a cube in which each face of the cube has an area of 7 cm 2 ? surface area = cm 2 PLZZZZZZZZZZZZZZZZ HELP ASAP
Answer:
[tex]42cm^2[/tex]
Step-by-step explanation:
Well there are 6 faces on a cube and if each face is 7, the total should be 42.
The surface area of the cube is A = 42 cm²
What is the surface area of cube?The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
Surface area S = 6a² ,
where a is the side of the cube
Given data ,
Let the surface area of cube be A
Now , the value of A is
Let the area of one face S = 7 cm²
So , Surface area A = 6a²
On simplifying , we get
A = 6 x 7 cm²
A = 42 cm²
Hence , the surface area is 42 cm²
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Find the measurement of the inscribed angle CDB indicated below
Answer:
∠ CDB = 45°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc.
∠ CDB = 0.5 × BC = 0.5 × 90° = 45°
The opposite of the original statement. These statements are also called the inverse of a conditional statement.
Answer:
Negation is the correct answer to the given question
Step-by-step explanation:
The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .
For example :
F: Number is 5.
~F: Number is not 5.
Conditional statement Negation(~)
True False
False True
All the other option are not determine the inverse of the conditional statement so these are incorrect option .
Create a two column proof of each problem. Please help!!
Step-by-step explanation:
In this way it is proved
anyone wanna help with this short chart right quick
Answer:
should look like this
Step-by-step explanation:
sorry for the messiness was a quick sketch
f is a one-to-one function, and (4,7) is on the graph of f. Write the coordinates of a
known point or the graph of f-1
Format
Answer:
(7, 4)
Step-by-step explanation:
One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.
If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7) is on the graph of f(x), therefore (7, 4) is on the graph of f^-1(x)
A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for T. Round your answer to the nearest tenth of a revolution. (Hint: Be sure to use the same unit of
measurement.)
none of these
260.9 revolutions
8.8 revolutions
1261.3 revolutions
Answer:
1261.3 rev
Step-by-step explanation:
Circumference of tire: 3.14(4/3)
4.187 ft.
5280/4.187
1261.3
If AB = 10, BD = 5, and DE= 12, what is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
In the picture attached, the missing triangles are shown:
Data
AB = 10BD = 5DE= 12Then, AD = 10-5 = 5As a consequence of the "Side Splitter" Theorem:
AD/DE = AB/BC
Replacing with data and solving for BC
5/12 = 10/BC
BC = 10*12/5 = 24
The length of BC is 8 units.
The given figure is image 1.
From the image: AD = AB + BD = 10 + 5 = 15.
From the image triangle ABC and ADE are similar.
So their sides will be in the same ratio.
[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]
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x ᵐ / y ᵐ = (y/x) -ᵐ True] False
Answer:
it is true because when we open the brackets due to negative sign x shiht upwards and y shift downwards with power m
Kara did a survey to determine to study the types of pets that students in her school had. She surveyed 300 students and found that 40% of them had cats, 12% had both cats and dogs, and 45%
didn't have either. How many of the students that Kara surveyed had dogs?
1) 61
2) 71
3) 81
4) 91
Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs , [tex]n(C \cap D)[/tex] = 12%
Percentage who had neither cats nor dogs, [tex]n(C \cup D)'[/tex] =45%
Now:
Universal Set, [tex]U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'[/tex]
[tex]100 = 40 + n(D)-12+45\\n(D)=100-73\\$Percentage of those who own dogs =27\%[/tex]
Therefore:
Number of Students who had dogs
=27% of 300
=81
HELP ASAP!!!! There is a clip below.
Answer:
7/4 x 3/2 x 1/2 = 1 5/16 or 21/16
Step-by-step explanation:
The shape on the left is transformed to the shape on the right.
B
A'.
B
с
A
D
C
Which of the following statements describes the transformation?
O ABCD →A'B'C'D'
O A'B'C'D' → ABCD
ABCD→D'A'C'B'
O D'B'C'A → CADB
Answer:
Step-by-step explanation:
definitely A
a.
Use the domain and range of each of the following relations to determine which is a function.
{3, 7, - 7,9}
b. {(3,9), (7. - 4), (-7,7)}
• {(3,9), (7. - 4), (37)
d. {(3,9), (7. - 4), (7,6), (-7, 7)}
Please select the best answer from the choices provided
Answer:
Option B.
Step-by-step explanation:
A relation is called a function if there exist unique value of y for each value of x.
In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.
In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.
In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.
In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.
Therefore, the correct option is B.
Answer: B.{(3,9), (7. - 4), (-7,7)}
Step-by-step explanation: got it right on edge
The following table shows the probability distribution for a discrete random
variable.
Х
11
14
16
19
21
23
24
29
P(X) 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the
expected value of X?)
A. 19
B. 19.625
C. 20
D. 18.59
Answer:
Because the random variable X is discrete, the variance of X is defined as
var(X) =
where
p = values of probability as given in the table.
μ = 18.59
Calculate the array (x - μ).
x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]
Calculate the array (x-μ)².
(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]
Calculate the array p*(x-μ)².
p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]
Calculate the variance of X.
var(X) = 23.182
Step-by-step explanation:
Answer: 23.18 (nearest hundredth)
Answer: 18.59
Step-by-step explanation:
A P E X
Please help I need it done it is my last homework thank you...
Answer:
98%
Step-by-step explanation:
Percent means out of 100
49/50
Multiply the top and bottom by 2
49*2 = 98
------------
50*2 = 100
98/100
The percent is 98%
_________________________________
Hey!!
Solution,
49/50*100%
=98%
So the right answer is 98%
hope it helps..
Good luck on your assignment
_____________________________
Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6
Answer: (-2,3)
Step-by-step explanation:
-3x + 4y = 18
6x + 2y= -6 we have to eliminate one of the variables so you will have ot
2(-3x + 4y) = 18(2) multiply the first equation by 2.
-6x + 8y = 36
6x + 2y = -6 now we could eliminate the x terms by adding them and
0 + 10y= 30 remember that is a new equation.
y= 3
Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.
-6x + 8(3)=36
-6x + 24= 36
-24 -24
-6x = 12
x= -2
The solution for the system of given linear equations is (-2, 3).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).
By elimination method,
Multiply equation (I) by 2, we get
-6x+8y=36 ----(III)
Add equation (II) and (III), that is
-6x+8y+6x+2y=36-6
10y=30
y=3
Substitute, y=3 in -3x + 4y = 18, we get
-3x+4(3)=18
-3x=6
x=-2
Therefore, the solution for the system of given linear equations is (-2, 3).
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Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above
Answer:
668
Step-by-step explanation:
She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer
Answer:
668
Explanation:
To solve this problem, add 539 and 129 meters together.
539 + 129 = 668
Therefore, 668 represents Anita's change in altitude.
Which expression is equivalent to x^2-10x+24
Answer:
(x-4)(x-6)
Step-by-step explanation:
By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.
Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.
Answer:
The correct answers is:
The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions
Step-by-step explanation:
Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.
We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.
Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week
On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x
Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
Answer:
The answer is D
Step-by-step explanation:
Have a nice day!
Please help me with 1 more question ill give good ratings please!
Answer:
(4, - 4 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )
Which statements are true?
Select each correct answer.
All squares are parallelograms.
No trapezoids are parallelograms.
All rectangles are squares.
All rectangles are quadrilaterals.
Answer:
All squares are parallelograms, and all rectangles are quadrilaterals are both true
Step-by-step explanation:
Answer:
The answer is a and d
a) All squares are parallelograms
d) All rectangles are quadrilaterals
hope i helped!
please help and answer this for me
Answer:
Subtract 58 from both sides
Step-by-step explanation:
A motorboat travels 50 miles downstream in a river, then turns around and travels back to its starting point. The total trip takes 8 hours. The rate of the current in the river is 2miles per hour. Remembering that distance = rate x time, what is the rate of the motorboat in calm water? HELP NEEDED ASAP
A. 0.31 miles per hour
B. 2.08 miles per hour
C. 12.5 miles per hour
D. 12.8 miles per hour
Answer:
The speed of the boat in calm water is 12.8 miles per hour.
Step-by-step explanation:
While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.
[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]
For the upstream:
[tex]time_{up} = \frac{50}{x - 2}[/tex]
For the downstream:
[tex]time_{d} = \frac{50}{x + 2}[/tex]
The sum of each of these times must be equal to "8 h", therefore:
[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]
Since the speed can't be negative in this context, the only possible answer is 12.812 mph.
Answer:
12.8
Step-by-step explanation:
PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!
Answer:
incorrect: y= -1.5x
correct: The slope is 3.
HOPE I HELPED!!!
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(-6-(-2))
m=2/-4
m=-1/2
Solve this equation: -7x + 12 – 2x = 23 + 13.0
Step 1: Simplify by combining like terms that are on the
same side of the equation. Which terms can be
combined?
Answer:
Step-by-step explanation:
We can combine the -7x and the -2x and the left side to get -9x and the 23 and 13 on the right side to get 36.
This gives us
-9x + 12 = 36
Subtacting 12 from both sides gives us
-9x = 24
dividing by -9 gives us
x = - 8/3
Answer:
see below
Step-by-step explanation:
-7x + 12 – 2x = 23 + 13.0
Combine like terms
(-7x-2x) +12 = (23+13)
-9x +12 = 36
Subtract 12 from each side
-9x +12 -12 = 36 -12
-9x = 24
Divide each side by -9
-9x/-9 = 24/-9
x = -8/3
if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)
Answer:
work is shown and pictured
a) write a formula for the perimeter p of the figure.
b) calculate the value of x if p=64
Answer:
[tex]x-2+x+10+x+11=64\\\\3x+19=64\\3x=64-19\\3x=45\\x=15\\[/tex]
In the function f(x) = x^2 - 2x + 3, what is f(2)?
The right answer is -3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment