The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
Absolute Error is defined as the difference between The Actual value and the estimated value .
Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .
[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]
Given that the Estimated value =300 pounds
Actual Value=286 pounds
Absolute Error=300-286=14 pounds
Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]
=[tex]\frac{14}{286} *100=4.89[/tex]%
Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
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Does anyone get this thanks
Answer:
350p2+19500p-199000
(The first term is actually -350p² but I guess you have to write it as -350p2)
Step-by-step explanation:
Looks like that first term in the revenue equation is -350p²
We have
E = -1500p + 199000
R = -350p² + 18000p
Profit = Revenue - Expenses = R - P
Profit = -350p² + 18000p - (-1500p + 199000)
= 350p² + 18000p + 1500p - 199000
= 350p² + 19500p - 199000
Describe a set math po to guys pang grade 7 what is a set??
Answer:
A set is well-defined so that we can always tell what is and what is not a member of the set
Mark is purchasing new tiles for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased.
a. Write a piecewise function describing the cost of the boxes of tile.
Answer:
f(x)=
1. 48x when x < or = 3,
2. 45x when 4 < or = x < or = 8
3. 42x when 9 < or = x < or = 19
4. 38x when x > 19
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Can someone help me with this question please like I really need this asap.
Using the fact that the two angles are complementary, the we will find that the measures are:
∠1 = = 14°
∠2 = 76°
How to find the measures of the angles?
By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).
We also can see that:
∠1 = x - 5
∠2 = 4x
Then we can solve the linear relation:
(x - 5) + 4x = 90
x - 5 + 4x = 90
5x - 5 = 90
5x = 90 + 5 = 95
x = 95/5 = 19
Then the measures of the two angles are:
∠1 = (x - 5)° = (19 - 5)° = 14°
∠2 = 4x = 4*19° = 76°
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Solve the following:
1. even integers between 1 and 101
2. first 25 terms of the arithmetic sequence 4, 9, 14, 19, 24 ...
Answer:
1. 2550
2. 1600
Step-by-step explanation:
Question 1Even Integer: A whole number that can be positive, negative, or zero, and that can be divided exactly by 2.
Even integers between 1 and 101:
2, 4, 6, 8, 10, ... , 100This forms an arithmetic sequence with:
first term (a) = 2common difference (r) = 2Sum of the first n terms of an arithmetic series:
[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]
There are 50 even integers between 1 and 101.
Therefore, to find the sum of the even integers between 1 and 101, substitute n = 50 and the found values of a and r into the formula:
[tex]\begin{aligned}\implies S_{50} & =\dfrac{1}{2}(50)[2(2)+(50-1)2]\\\\& =25[4+(49)2]\\\\& =25[4+98]\\\\& =25[102]\\\\& = 2550\end{aligned}[/tex]
Therefore, the sum of the even integers between 1 and 100 is 2550.
Question 2Given arithmetic sequence:
4, 9, 14, 19, 24, ...From inspection of the given arithmetic sequence:
first term (a) = 4common difference (r) = 9 - 4 = 5Sum of the first n terms of an arithmetic series:
[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]
To find the sum of the first 25 terms of the given arithmetic sequence, substitute n = 25 and the found values of a and r into the formula:
[tex]\begin{aligned}\implies S_{25} & =\dfrac{1}{2}(25)[2(4)+(25-1)5]\\\\& =\dfrac{25}{2}[8+(24)5]\\\\& =\dfrac{25}{2}[8+120]\\\\& =\dfrac{25}{2}[128]\\\\& = \dfrac{3200}{2}\\\\& = 1600\end{aligned}[/tex]
Therefore, the sum of the first 25 terms of the given arithmetic sequence is 1600.
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Each day a small business owner sells 200 pizza slices at $2.50 per slice and 85 sandwiches at $2.00 each. Business
expenses come to $60 per day. What is the owner's profit for a ten-day period?
The profit is S
The owner's profit for a ten-day period is equal to $ 6100.
We are given that:
Selling price of 1 pizza slice = $ 2.50
Number of pizza slice sold per day = 200
Selling price for pizza slices in a day = 200 × $ 2.50
SP ( pizza ) = $ 500
Selling price of 1 sandwich = $ 2
Number of sandwich sold per day = 85
Selling price for pizza slices in a day = 85 × $ 2
SP ( sandwich ) = $ 170
Selling price in 1 day = $ 500 + $ 170 = $ 670
Now, Cost price in 1 day = $ 60
Profit in 1 day = $ 670 - $ 60 = $ 610
Profit in 10 days = 10 × $ 610 = $ 6100
Therefore, the owner's profit for a ten-day period is equal to $ 6100.
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The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 yd whats the length and width
Answer:
length is 20 width is 5
Step-by-step explanation:
35
5 20
i need asers pls now
342 = 2, 3, 6, 9
191 = no factors
1235 = 5
40320 = 2, 4, 8
16 = 2, 4, 8
78448 = 2, 4, 8
588 = 2, 4 , 12
67 = no factors
925 = 5
60043 = no factors
3663 = 3, 6
350 = 5
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If Z is the Circumcenter of TUV, find each missing measure
Answer is
VY = 17
UZ =21
WV = 14.7
TV = 29.4
TU = 38
SOLVING STEPS
WV = [tex]x^{2}[/tex]+[tex]15^{2}[/tex] = [tex]21^{2}[/tex]
⇒[tex]x^{2}[/tex] + 225 = 441
⇒ [tex]x^{2}[/tex] = 441-225
⇒ [tex]x^{2}[/tex] = 216
⇒ x = [tex]\sqrt{216}[/tex]
VY = 17
UZ =21
WV = 14.7
TV = 29.4
TU = 38
The circumcentre of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcentre.
Method to Calculate the Circumcentre of a Triangle
Steps to find the circumcentre of a triangle are:
Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC
how to calculate the slope of the particular line :
By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)
Find out the equation of the other line in a similar manner
Solve two bisector equations by finding out the intersection point
Calculated intersection point will be the circumcentre of the given triangle
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The Transitive Property states that if a=b and b=c, then a=c. Explain how you can use the Transitive Property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x
How to Interpret Transitive Property?
We are told that the Transitive Property states that if a = b and b = c, then a = c.
Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.
Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
Now, the expression 0 + x + 13 is equal to x + 13.
Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;
0 + x + 13 is equal to 13 + x
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An object is moving at a speed of 63 centimeters every 2 days. Express this speed in meters per hour.Round your answer to the nearest hundredth.
This speed in meters per hour is 0.01 meter per hour
How to determine the speed?The given parameter is
Speed = 63 centimeters every 2 days
Divide 63 by 2
So, we have:
Speed = 31.5 centimeters every day
There are 24 hours in a day
So, we have
Speed = 31.5 centimeters every 24 hours
100 cm equals 1 m
So, we have:
Speed = 0.315 meters every 24 hours
Divide
Speed = 0.013125 meter per hour
Approximate
Speed = 0.01 meter per hour
Hence, this speed in meters per hour is 0.01 meter per hour
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6x +3 = 2x - 9
help please
Answer:
the equation is falseStep-by-step explanation:
6x + 3 = 2x - 9
6x - 2 x = -9 - 3
4x = -12
x = -12 : 4
x = -3
----------------
CHECK
6 * (-3) = 2* (-3) - 9
-18 = -15
the equation is false
Help with my math !!
Answer: 3rd down :D
Step-by-step explanation:
This is because the problem is asking for Q to be in the middle of B and N and the only answer that applys to this is 3 :D.
Find using distributive property: 4/7 x-3/5 + -4/5 x 4/7.
The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.
This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.We learn how to solve expressions in the form of a(b + c) from the distributive property. The distributive law of multiplication and division is another name for the distribution property.The given expression is [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]
Here we take the reverse of the distributive property to solve the expression. We take the term of [tex]\frac{4}{7}[/tex] common from both the separate expressions:
[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]
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Write a quadratic function in standard form Vertex (1,9); passes through (4,6)
y = -3 ( x - 1 )² + 9 is quadratic function in standard form Vertex .
How does a parabola's vertex shape work?
The coordinates of the point where a parabola crosses its axis of symmetry can be determined using the vertex formula for parabolas. The point is the vertex (h,k). As is common knowledge, a parabola's standard equation is y = ax2+bx+c.given , Vertex = (1,9)
point = (4,6)
The formula is
y = a + ( x - h )² + k
where h = 1 , k = 9
then y = a ( x - 1 )² + 9
Find the value of
a when one of the points is ( 4,6)
6 = a ( 4 - 1 )² + 9
6 - 9 = 9a
-3 = 9a
a = -9/3 ⇒ -3
put value of a
y = a ( x - 1 )² + 9
y = -3 ( x - 1 )² + 9
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What price do farmers get for their watermelon crops? in the third week of july, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. assume that is known to be $2.00 per 100 pounds.
We have given a sample size of n=40
Sample mean ¯x=$6.88 per 100 pounds
Population standard deviation= 1.96 per 100 pounds
First, we need to find the value of z α /2 =z (1−0.90/2)
Z (α/2) =z0.05
Z (α/2) =1.645
(a)The required 90% confidence interval is;
¯x ± margin of error
¯x ± z (α/2) * σ/sqrt 40
6.88 ± 1.645 * 1.96/sqrt 40
6.88±0.5097
(6.38,7.38)
Therefore, the lower limit is $6.38 per 100 pounds.
The upper limit is $7.38 per 100 pounds.
The margin of error is 0.50 per 100 pounds.
(b) to have the maximum of E, we use the formula;
n= (z (α/2)×σ/E) ^2
n= (1.645× (1.96/0.41)) ^2
n=61.84≈62
Therefore, the required farming region will be 62.
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A technical analyst would consider a put call ratio of ____ as a bearish indicator.
a. 40 percent
b. 30 percent
c. 50 percent
d. 60 percent
A technical analyst would consider a put call ratio of 30 percent as a bearish indicator.
What in SAPM is technical analysis?
Technical analysis is a type of security analysis that makes use of price and volume data, which are often graphical represented in charts. To provide investing advice, the charts are examined using a variety of indicators.Which technical metric is regarded as bullish?
One technical indicator that gauges the discrepancy between current prices and historical prices is the Channel Commodity Index (CCI). Its reading ranges from 100 to -100. Prices are viewed as bullish when CCI shifts from the negative to close to 100.Learn more about technical analysis
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Analyze the table of values for the continuous function, f(x), to complete the statements.
A local maximum occurs over the interval
.
A local minimum occurs over the interval
.
A local maximum occurs over the interval (-2,0)
A local minimum occurs over the interval (0,2)
How do you find a function's maximum value?
We may calculate the maximum of a continuous and twice differentiable function f(x) by first differentiating it with respect to x and then equating it to 0.
A local maximum occurs over the interval (-2,0)
A local minimum occurs over the interval (0,2)
Step-by-step explanation:
-lukelaws hope i helped if i di please give me brainliest if i was wrong i am very sorry!
A standard train ticket in a certain city costs 3 per ride. people who use the train also have the option of purchasing a frequent-rider pass for 18.75 each month. with the pass, a ticket costs only 2.25 per ride. how many train rides in a month make the frequent-rider pass a better deal than standard train tickets?
a. 26 or more rides
b. 24 or more rides
c. 25 or more rides
d. 27 or more rides
Number of train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.
As given,
Cost of standard train ticket = 3 per ride
Price of frequent rider pass= 18.75 each month
Cost of ticket using rider pass = 2.25 per ride
let x be the number of rides
Equation:
18.75 + 2.25x < 3x
⇒ 0.75x > 18.75
⇒ x > 25
Therefore, number of train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.
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5 positive integers are arranged in
ascending order, as follows:
5, 6, 7, 7, x
The mode and the range are equal.
Find x.
x
Answer: x=12
Step-by-step explanation:
The range is: x-5
The mode is: 7
Hence,
x-5=7
x-5+5=7+5
x=12
-2 2/3 divided by 4/3
Answer:
-2
Step-by-step explanation:
[tex]Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2[/tex]
If you answer you get 15 points.
Answer:D
Step-by-step explanation:
Answer:
I think it's the last one, the one that have month 4,6,8.
Step-by-step explanation:
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
A. y=1/5x+4
B. y=1/5x+12/5
C. y=-5x+4
D. y=-5x+12/5
The slope of the line shown is 1/5, and being parallel means having the same slope. So it’s either a or b.
Next, you plug in (-2, 2) into y=1/5x+b to find b.
Solving you get: 2=1/5 * -2 +b
2=-2/5+b
B=2 2/5
12/5 = 2 2/5
So the answer is b.
Hope this helps!
Abby bakes 5 cupcakes. Esteban bakes 4 cupcakes. They put 3 candy hearts on each cupcake. How many candy hearts are used? Explain
Answer:2
Step-by-step explanation:
How do I solve
-1 2/3 - -5/6
Answer:
-7/6
Step-by-step explanation:
negative 5 over 6−
5
6
≈negative 0.833−0.833
\frac{\left(7x+4\right)}{2}=2-\left(2x+8\right)
Answer:5
Step-by-step explanation: I used this website called step-by-step calculator and then typed in your question
add 7.5m, 2.25 and 50cm and give results in metres
The sum of the three values is 10.25 meters.
Here, we are given three measurements- 7.5m, 2.25m and 50cm
Since, we need to find the answer in meters, let us convert all the units to meters so that we can add them.
7.5 and 2.25 are already in meters so we do not need to covert them.
We only need to convert 50 centimeters.
As per mathematical conversions,
1 meter = 100 centimeters
This means that 50 centimeters will be,
100/2 centimeters = 1/2 meters
⇒ 50 centimeters = 0.5 meters
Now, we add all the given numbers,
= 7.5 + 2.25 + 0.5
= 9.75 + 0.5
= 10.25
Thus, the sum is 10.25 meters.
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Find all the zeros of the quadratic function.
y=x^2+ 8x + 12
If there is more than one zero, separate them with commas.
If there are no zeros, click on "None".
Answer:
x=-2, -6
Step-by-step explanation:
factor the expression
y=x^2+ 8x + 12
y= (x+2)(x+6)
set the equation equal to 0, since you are finding zeros, or solutions
0=(x+2)(x+6)
split the equation into two parts
0=(x+2) and 0=(x+6)
solve the equations
you should get 2 zeros
x=-2, -6
SOH CAH TOA
I don't understand this stuff I have a test coming up can someone pls help me with this i am stuck
I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.
The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
Let's use the trig ratio cosine.
cos(angle) = adjacent/hypotenuse
cos(39) = x/7
7*cos(39) = x
x = 7*cos(39)
x = 5.44002 which is approximate
x = 5.4
Make sure your calculator is in degree mode.
what is a mediannnn please help
Answer:
The middle number in a set of numbers.
Step-by-step explanation:
For example, if I have a set of numbers like 5,6,3,7,9
3 would be the median because it is in the middle.
I hope I helped!!
