James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
How much more does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a mixed number in simplest form
Answers
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
What is dot plot or line plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
Note that the value of 1/4 is 0.25 which is less than the value of 1/2 which is 0.5.The value of 3/4 is 0.75.In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.
The difference between these values is,
[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]
Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
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Related Questions
Find the shaded area. Choose the letter for the best answer.
I’m checking if I’m correct
Answers
Answer:
H. 36 sq inches
Step-by-step explanation:
area of rectangle
= 4 x 6
= 24
area of triangle
= 1/2 x (10-6) x (4+2)
= 12
total shaded area
= 24 + 12
= 36 sq inches
so answer is H
hope this helps!
A litter of puppies has some male and
some female puppies. This can be
described with the following equation.
L = m + f
Solve the equation for the number of
female puppies, f.
Enter the variable that belongs in the green box.
f = [?] - [
Answers
L is in the green box
What is the domain of the relation below?
Answers
Domain are the x values
{-4,-2,0,2}
Answer:
{-4, -2, 0, 2]
Step-by-step explanation:
THIS IS THE SET OF X-VALUES:
Domain is {-4, -2, 0, 2]
A bag contains 5 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be blue?
Answers
Answer:
4.4%
Step-by-step explanation:
The overall probability is the product of the individual probabilities.
Total number of marbles: 15
Original number of blue marbles: 6
First drawing (6 blue and 15 total):
p(blue) = 6/15 = 2/5
Second drawing (5 blue and 14 total):
p(blue) = 5/14
Third drawing (4 blue and 13 total):
p(blue) = 4/13
p(blue followed by blue followed by blue) = 2/5 × 5/14 × 4/13 = 40/910 = 4/91
p(blue followed by blue followed by blue) = 4/91 = 0.043956... = 4.4%
The parent function f(x)= x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by
graph B and graph C.
Answers
Answer:
The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
Step-by-step explanation:
Hi pls guys uf you know pls help me this is my last chance ok this theta pls guys help me
The table shows the colors of the cars sold from a dealership over the last month
Based on this information, which prediction about next month's car sales is
most reasonable?
Answers
Answer:
The anser is B
Step-by-step explanation:
There are twice as many silver cars as blue cars
12 x 2 = 24 24 / 12 = 2
Sarah can make 5 tables in 3 days, how many can she make in 21 days?
Answers
Answer
the answer is 105
Step-by-step explanation:
multiply 5 and 21
answer is 105
Step-by-step explanation:
multiply 5x21
Laura has 7 more than
triple the number of
pens Ann has. If Ann
has r
pens,
write an
expression for how
many pens Laura has.
Answers
Step 6. Check the answer in the problem and make sure it makes sense.
Yes, 75+0.25\left(500\right)=200.
Step 7. Write a sentence that answers the question. Sergio and Lizeth can travel 500 miles and still stay on budget.
Taleisha’s phone plan costs her ?28.80 a month plus ?0.20 per text message. How many text messages can she use and keep her monthly phone bill no more than ?50?
What is the surface area of a rectangular prism with a height of 5 cm, length of 5.4 cm, and width of
2.4 cm?
The surface area is
Answers
=5.4*5*2.4= A=103.92cm²
A square plot is 64 m^2 ..find its length..
Answers
Answer:
Length: 8 m
Explanation:
square area: length²
Here:area: 64So find Length:length² = 64length = ±√64length = ±8As length is positive, length = +8
Suppose the graph represents a map in which each grid unit equals 1 mile. If a school is located at B and a
library is located at N, what is the distance between the school and the library?
Answers
answer: 5 miles
Step-by-step explanation:
use the distance formula to solve this problem. plug in the two coordinates to solve this problem.
A grounds crew is marking out a circular logo at the center of a football field. The logo will
have a circumference of 141.3 feet. What will be the diameter length of the logo in yards?
Answers
Answer:
circumference of a circle formula is C=2*pi*r
Step-by-step explanation:
then
141.3 = 2*pi * r
solve for r
141.3/ (2*pi) = r
22.48859 feet
diameter is 2*r
2*22.48859= 44.9771 feet
divide by 3 because there are 3 feet in one yard
44.9771/3= 14.99239 yds.
it doesn't say to round off, but I would call this 15 yds.
Diameter is 15 yards ± .008 yds That's just about 1/4 of an inch
54. Find [tex]y^{\prime}[/tex] if [tex]x^y=y^x\text{.}[/tex]
Answers
Step-by-step explanation:
Take the natural log of both sides:
[tex]ln ({x}^{y} ) = ln ({y}^{x} )[/tex]
Logarithm rules allow you to bring down the exponents:
[tex]yln(x) = xln(y)[/tex]
Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:
[tex] \frac{dy}{dx} ln(x) + \frac{y}{x} = ln(y) + \frac{x}{y} \frac{dy}{dx} [/tex]
Isolate the terms that have y' since that is what we want:
[tex] \frac{dy}{dx} ln(x) - \frac{x}{y} \frac{dy}{dx}= ln(y) - \frac{y}{x} [/tex]
Factor out y' to get:
[tex] \frac{dy}{dx}( ln(x) - \frac{x}{y})= ln(y) - \frac{y}{x} [/tex]
Therefore:
[tex] \frac{dy}{dx} = \frac{ln(y) - \frac{y}{x} }{ln(x) - \frac{x}{y} } [/tex]
10. Find [tex]\frac{d^{2}}{d x^{2}}\int ^x_0\left(\int ^{\sin t}_1\sqrt{1+u^{4}}du\right)dt\text{.}[/tex]
Answers
Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is
[tex]\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)[/tex]
Then using the FTC again, differentiating g gives
[tex]\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}[/tex]
A factory sells backpacks for $40.00 each. The cost to make
1 backpack is $10.00. In addition to the costs of making
backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $980
each week.
Which inequality represents the number of backpacks, x, that
need to be sold each week for the factory to meet this goal?
A. 30x + 12,000 < 980
B. 30x + 12,000 > 980
C. 30x - 12,000 < 980
D. 30x – 12,000 2 980
Answers
Answer:
it is a to my calculation
Step by step
help pls math is hard
Answers
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.
Answers
[tex]\large\bold{{Question :}}[/tex]
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.
[tex]\large\bold\red{\underline{Solution :-}}[/tex]
Here, O is the center of the circle.
⟼ Given :
OQ = 25 cmPQ = 24 cm⟼ To Find : We have to find the radius OP.
Since QP is tangent, OP perpendicular to QP.
(Since, Tangent is Perpendicular to Radius ⠀⠀⠀⠀⠀⠀⠀at the point of contact)
So, ∠OPQ=90°
⟼ By Applying Pythagoras Theorem :
OP² + RQ² = OQ²
OP² + (24)² = (25)²
OP² = 625 - 576
OP² = 49
OP = √49
OP = 7 cm
Hence, The Radius is 7 cm
⠀⠀
⠀
-MissAbhiHere after drawing the diagram for the question we came to knew that the length of line OQ is 25 cm and length of line PQ is 24 cm.
(Angle OP is of 90°)So line OQ is hypotenuse , line OP is perpendicular , line PQ is base.
Let us simply apply the concept of Pythagoras theorem to find out the length of line OP.
Base (PQ) = 24 cm Hypotenuse (OQ) = 25 cm Perpendicular (OP) = ?[tex]: \: \implies \: \sf{(Hypotenuse) {}^{2} \: = \: (Base) {}^{2} \: + \: (Perpendicular) {}^{2} } \\ \\ : \: \implies \: \sf{(OQ) {}^{2} \: = \: (OP) {}^{2} \: + \: (PQ) {}^{2} } \\ \\ : \: \implies \: \sf{(25) {}^{2} \: = \: (OP) {}^{2} \: + \: (24) {}^{2} } \\ \\ : \: \implies \: \sf{(OP) {}^{2} \: = \: (25) {}^{2} - \: (24) {}^{2}} \\ \\ : \: \implies \: \sf{(OP) {}^{2} \: = \: (25 \times 25) - \: (24 \times 24)} \\ \\ : \: \implies \: \sf{(OP) {}^{2} \: = \: (625) - \: (576)} \\ \\ : \: \implies \: \sf{(OP) {}^{2} \: = \: 625 - \: 576} \\ \\ : \: \implies \: \sf{(OP) {}^{2} \: = \: 49} \\ \\ : \: \implies \: \sf{OP \: = \: \sqrt{49} } \\ \\ : \: \implies \: \red{\bf{OP \: = \: 7}}[/tex]
★ Therefore,
Radius of the circle is of 7 cm.A piece of machinery depreciates $7000 the first year,
$6800 the second year, and $6600 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?
Answers
Answer:
6000 in the 6th year 39000 total
Step-by-step explanation:
depreciates 200 per year
7000 6800 6600 6400 6200 6000
Let f(x) = 6x^2 - 4x + 2. Find a constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9] is equal to fc).
A. 4.8735
B. 5.5402
C. 5.5721
D. -4.8735
E. 164
Answers
The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
What is mean value theorem?Mean value theorem is the theorem which is used to find the behavior of a function.
The function given as,
[tex]f(x) = 6x^2 - 4x + 2[/tex]
The value of function at 0,
[tex]f(0) = 6(0)^2 - 4(0) + 2\\f(0)=2[/tex]
Differentiate the given equation,
[tex]f(x)' = 6\times2x - 4\times1 + 0\\f(x)' = 12x - 4\\f(x)' = 12x -4[/tex]
If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,
[tex]f(c)'=12c-4[/tex]
Using Lagrange's mean value theorem,
[tex]f(c)'=\dfrac{f(9)-f(1)}{9-1}\\12c-4=\dfrac{452-4}{9-1}\\12c=54+4\\c=\dfrac{60}{12}\\c=5[/tex]
Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
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Answer:
5.5402
Step-by-step explanation:
First you need to find the average value of the function, you can use a calculator to do that, which you will find is 164.
The questions asks you to find a number between 1 and 9 so that f(c) (which is just f(x)) equals the average value of the function.
Since you already know the average value (164), you can set the equation equal to 164 and solve for x, which should give you 5.5402.
If you want more information: the function equals the average value, which is 164=6x^2-4x+2, is the equation you want to set up and solve for x.
You may get two answers and I can't explain why because I don't understand it that well, just use the one that is in the 1 to 9 range.
The second answer should be negative which is out of the 1 to 9 range, which leaves you with the other number that rounds up to 5.5402
I hope this helps any other struggling students
find the
Domain and sketch a
graph of
f (X) =2-0,4x
Answers
f(x)=x^2−2x+1
Yw and pls mark me brainiest
Answer:
-infty<xinfty
Step-by-step explanation:
The first image for the question and the other image for the example please I want the correct answer.
Answers
it is 2
Step-by-step explanation:
Answer:
the most appropriate answer will Be 2
Step-by-step explanation:
be happy
Solve the inequality 2c/3 + 1 > 7
Answers
Answer:
c > 9
Step by Step explanation
x^2 + y^2 +2x+6y=26
what is the center
what is the radius
please show calculations/steps
Answers
Answer:
centre = (- 1, - 3 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 2x + 6y = 26 ( collect x and y terms )
x² + 2x + y² + 6y = 26
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9
(x + 1)² + (y + 3)² = 36 ← in standard form
with centre = (- 1, - 3 ) and r = [tex]\sqrt{36}[/tex] = 6
[tex](x {}^{2} + 2x + 1) - 1 = (x + 1) {}^{2} - 1[/tex]
[tex](y {}^{2} + 6y + 9) - 9 = (y + 3) {}^{2} - 9[/tex]
[tex](x + 1) {}^{2} - 1 + (y + 3) {}^{2} - 9 = 26[/tex]
[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 26 + 10[/tex]
[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 36[/tex]
General form:[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]
Center coordinates: I ( a , b ) I ( -1 , -3 )Radius:[tex]r {}^{2} = 36[/tex]
[tex]r = \sqrt{36} = 6[/tex]
Aman is adding -17 + 9. He wants to write -17 as the sum of two numbers so that one of the numbers, when added to 9, will equal 0.
Write integers in the blanks to show how Aman will solve this problem.
-17 + 9 = _____ + _____ + 9
-17 + 9 = _____ + 0
My question has been deleted because it was "incomplete." Look at photo please. Would really appreciate it, I just need the integers from the blanks above! Thank you!
Answers
Answer:
answer is ‘see analysis’
Step-by-step explanation:
Fu Da spent a whole day traveling. 5/8 of the journey was spent by the airplane and 1/4 of the remainder was by the train. He spent 6 3/4 h on the bus journey.
a) How long did Fu Da spend on the train journey?
b) How much longer did Fu Da spend on the airplane than on the bus?
Answers
Answer:
A) 13.5 Hours
B) 27 Hours
Step-by-step explanation:
So the total journey was 54 hours.
5/8 of that would be 33 and 3/4 hours or how long the airplane journey was.
1/4 would be 13 and a half hours or how long the train journey was
And the remaing amount was the 6 3/4 hours which was the bus journey
So the answers are Fu Da spent 13 and a half hours on the train journey and he spent 27 more hours on the plane than the bus
Do y’all know what the line on top mean?
Answers
Answer: hii
"Overbar (Vinculum)"Step-by-step explanation:
"a horizontal line written above a mathematical symbol to give it some special meaning."
" The vinculum can indicate a repeating decimal value: When it is not possible to format the number so that the overline is over the digit(s) that repeat, one overline character is placed to the left of the digit(s) that repeat: ‾"
Hopefully this helps you!
- Matthew
There are three different size bags of the same dog food shown below with the price for each bag. Based on the price per ounce, order the bags from
least expensive to most expensive.
= 32oz for $7 37
= 48oz for $9.50
= T2oz for $17.99
Answers
Answer:addaddition
Step-by-step explanation:
just adddd all
a. Use the appropriate formula to find the value of the annuity.
b. Find the interest.
Periodic Deposit
$3000 at the end of each year
Time
Rate
6% compounded annually
30 years
(round to the nearest dollar if needed)
Answers
Answer:
i think The final answer would be $3512.58
Step-by-step explanation:
Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval Then find all numbers c that satisfy the conclusion of the Mean Value Theorem: f(x) = 1/x on [1,3]
Answers
f(x) = 1/x and its derivative f '(x) = -1/x² are discontinuous only at x = 0; everywhere else it is defined and behaves nicely in the sense that f is
• continuous on the closed interval [1, 3], and
• differentiable on the open interval (1, 3)
and the MVT holds.
The theorem says there is some real number c between 1 and 3 such that
[tex]f'(c) = \dfrac{f(3) - f(1)}{3 - 1}[/tex]
Solve for this c :
[tex]-\dfrac1{c^2} = \dfrac{\frac13-\frac11}{3 - 1} \implies c^2 = 3 \implies \boxed{c = \sqrt3}[/tex]
176.98 round to the nearest cent
Answers
Answer:
See answer(s) below
Step-by-step explanation:
$ 176.98 to nearest cent is $ 176.98
176.98 cents rounded to the nearest cent is 177 cents