Answer:
the mean is 53.75 and median is 54
Step-by-step explanation:
Can someone give the answer to question 2
Step-by-step explanation:
try doing a2+b2=c2 it will help
Rectangle measures 2 1/4 meters 1 7/8 meters what is its area
Plss help
Answer:
4.21875
Step-by-step explanation:
2.25*1.875 =4.21875
The area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have side measures of the rectangle:
[tex]\rm a = 2\frac{1}{4} \\\\\rm b = 1\frac{7}{8}[/tex]
The area of the rectangle A is given by:
[tex]\rm A = (2\frac{1}{4} )\times(1\frac{7}{8} )[/tex]
[tex]\rm A = (\frac{9}{4} )\times(\frac{15}{8} )[/tex]
[tex]\rm A = \frac{135}{32}[/tex] or
[tex]\rm A =4 \frac{7}{32}[/tex]
Thus, the area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.
Learn more about the area here:
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Peyton needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $77 for
parts. The total was $497. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
8 men can complete the project in 24 days in how many days 12 men can complete the same project
Answer:
16days
Step-by-step explanation:
This is an inverse proportionality
Let the number of men be m
Let the time taken in days be d
Hence m ∝ 1/d
m = k/d
If 8 men can complete the project in 24 days, then;
8 = k/24
k = 8*24
k = 192
To determine the time it will take 12 men to complete the same job, we will say;
m = k/d
12 = 192/d
d = 192/12
d = 16
Hence it will take 12men 16days to finish the same job
I really need help plsss!!!
Answer:
(a)
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
(b) Rate = 5
(c) Rate = 5
Step-by-step explanation:
Given
The attached graph
Solving (a): The piece-wise function
For the first line
Calculate the slope of the first line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (5,25)[/tex]
So, the slope is:
[tex]m = \frac{25 - 0}{5 - 0}[/tex]
[tex]m = \frac{25}{5}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]
[tex]y = 5(x - 0) + 0[/tex]
[tex]y = 5(x) + 0[/tex]
[tex]y = 5x[/tex]
So, the function of the first line is:
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
For the second line
Calculate the slope of the second line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,20)[/tex]
[tex](x_2,y_2) = (9,40)[/tex]
So, the slope is:
[tex]m = \frac{40 - 20}{9 - 5}[/tex]
[tex]m = \frac{20}{4}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]
[tex]y = 5(x - 5) + 20[/tex]
[tex]y = 5x - 25 + 20[/tex]
[tex]y = 5x -5[/tex]
So, the function of the second line is:
[tex]f(x) = 5x -5;\ x>5[/tex]
Hence, the piece-wise function is:
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
Solving (b): The rate at which customers that buy up to 5lb buy.
[tex]x = 5[/tex]
This question implies that, we determine the rate at which this customer buys.
For [tex]x = 5[/tex]
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
The slope of the above function is 5.
So, this customer buys at the rate of $5 per lb
Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.
For [tex]x > 5[/tex]
[tex]f(x) = 5x -5;\ x>5[/tex]
Assume x = 6
[tex]f(6) = 5 * 6 - 5[/tex]
[tex]f(6) = 30 - 5[/tex]
[tex]f(6) = 25[/tex]
Express as 20 + 5
[tex]f(6) = 20 + 5 * 1[/tex]
Assume x = 7
[tex]f(7) = 5 * 7 - 5[/tex]
[tex]f(7) = 35 - 5[/tex]
[tex]f(7) = 30[/tex]
[tex]f(7) = 20 + 10[/tex]
Express 10 as 5 * 2
[tex]f(7) = 20 + 5 * 2[/tex]
So, we have:
[tex]f(6) = 20 + 5 * 1[/tex]
[tex]f(7) = 20 + 5 * 2[/tex]
This can be generalized as:
[tex]f(x) = 20 + 5(x - 5)[/tex]
For the above functions;
20 represents the amount they buy the first 5
5 represents the rate at which they buy extra pounds above 5
Hence, they buy the extra pounds at the rate of $5 per pound
Select the best answer for the question.
16. Phil Smith is a car salesman. Last
week his total sales amounted to
$27,650.00, and he received $1,382.50 in
commission. What is his rate of
commission?
O
Answer:
5 Percent
Step-by-step explanation:
Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Answer:
B. 5(2x+5)
Step-by-step explanation:
Factor 5 out of 10x+25. and you get 5(2x+5)
Answer:
B. 5(2x + 5
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Select the correct answer. The graph of the function is shown f(x)=sin(x). What is the domain of the function? PLATO USERS
Answer:
Domain: (−∞,∞),{x|x∈R}
Step-by-step explanation:
the domain will be Domain: (−∞,∞),{x|x∈R} because
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Answer: Option C: (−∞,∞)
Step-by-step explanation:
answer is for plato
The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?
Answer:
7<x<31
Step-by-step explanation:
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
7<x<31 are the possible values of x.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that side lengths of a triangle are 12, 19, and x units.
We need to find the value of x.
We know that the third side of any triangle must be more than the difference between the other two sides.
x is greater than difference of nineteen and twelve
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
From this we get the interval as
7<x<31 (or) 31>x>7
Hence, 7<x<31 are the possible values of x.
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PLEASE HELP
FIRST ONE TK ANSWER
GETS BRAINLIEST Choose the number that shows the value of the expression 3 x (6 + 1.4) -42
A. 3.4
B. 6.2
O C. 11.4
D. 14.2
MAKE SURE TO LOOK AT THE PHOTO I HAVE PUT
Answer:
B. 6.2
Step-by-step explanation:
The calculation is done by hand and verified by a TI-84 calculator.
HELP!! TY IF YOU ANSWER
What is the value of z? Refer to the attached image. Show work pls :)
A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?
I need help and it’s due soon
Answer:
Point A
Step-by-step explanation:
Answer:
point A
Step-by-step explanation:
The point A is opposite with the point R and the x-axis is between them.
Solve for the area of the triangle in each of the following problems.
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.
Answer:$2.81
Step-by-step explanation:
1.25 is 100% of the price
125% + 100% = 225%
x = price by august
x = 225% (1.25)
225% = 2.25
2.25(1.25) = 2.8125 ≈ $2.81
Another way to see it:
=
225(1.25) / 100 = 2.8125
Simplify 8-9+8÷4
Please help thank you
Answer:
1.
Step-by-step explanation:
The equation 8 - 9 + 8 / 4 is given.
When solving equations with multiple signs in them, we need to follow PEMDAS.
Which is an acronym for a series of equations you need to follow in order.
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction.
So look at the equation, 8 / 4 would be first since it is dividing.
8 / 4
2
8 - 9 + 2
Now when it comes down to the last two of PEMDAS (Addition and Subtraction), we can just solve left to right.
Therefore,
8 - 9
-1
-1 + 2
1
You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length. Suppose that the perimeter of a rectangle is 44 feet, and the length is 8 feet more than the width. Find the width of the rectangle, in feet.
Answer:
44=2[(w+8)+w]
44=4w+16
28=4w
w=28/4
w=7feet
Is the following number rational or irrational?
Pi/5
Choose 1 answer:
Rational
B
Irrational
Do the following conditions make a unique triangle, more than one triangle or no triangle possible help
Answer:
No triangle possible since the lines need to attach, hope this helps :)
Step-by-step explanation:
Find the value of x in the diagram
Answer:
x = 21
Step-by-step explanation:
Inscribed angle = (3x - 3)°
Intercepted arc measure = 120°
Thus:
(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.
Multiply both sides by 2
2(3x - 3) = 120
6x - 6 = 120
6x - 6 + 6 = 120 + 6
6x = 126
6x/6 = 126/6
x = 21
A club has 800 members.
100 of the members were randomly picked and were asked if the dues should be
raised.
6 of the members said that dues should be raised.
Based on these results, about how many members in the club would be expected to say
that dues should be raised?
A. 14
B. 42
C. 48
D. 66
Answer:
C-48
Step-by-step explanation:
Around 48 individuals would be required to say that contribution be raised
Bit by bit clarification:
Here, we will utilize an instance of a delegate testing to decide the real.
Out of the 100 chose individuals, 6 said the levy ought to be raised;
This addresses a level of 6/100 = 6%
So out of the 800, the normal number of individuals that would request a levy raising will be;
6/100 * 800 = 48
Answer these questions please i need to pass my grade but i dont know this
What is the missing angle
Answer:
50
Step-by-step explanation:
30 + 100 = 130
130 + 50 = 180
all triangles are 180 degrees, so add it up and subtract.
Answer:
50 degrees will be your answer
Step-by-step explanation:
180-(30+100)=50
180 degrees is the whole angle of a triangle. so we subtract the two sides.
GEOMETRY find the angle of PRQ NO LINKS!!
Answer:
55
Step-by-step explanation:
Remark
This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )
The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).
simplify - root (9+y)^2 if y <-10
Answer:
− √ ( 9 + y ) 2 > 1
Explanation:
− √ ( 9 + y ) 2 , where y < − 10
Simplify the expression,
− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y
When y < − 10 , − y > 10
Subtract 9 from both sides,
− 9 − y > 1 Hence,
− √ ( 9 + y ) 2 > 1
The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ -√(9 + y)²
Simplify the expression, then we have
-√(9 + y)² = 0
(9 + y) = 0
9 + y = 0
y = - 9
More about the Algebra link is given below.
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What is 1/2 of 25? _______Explain.
Answer:
12.5
Step-by-step explanation:
0.5x25=12.5. FILLER
Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Can anyone know the answer?
Step-by-step explanation:
[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]
C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)
Answer:
I don't know how to do it the subject