Ling wants to determine the average distance she travels each day in her car. She records the odometer reading, which measures the distance the car has traveled, each morning for a week. What is the mean distance Ling travels each day? Show your work.( Will Mark Brainliest if answer is correct)
Answers
Answer: [tex]10,724.28[/tex]
Step-by-step explanation:
Given
Distance traveled on each consecutive day is given as
[tex]10150,10211,10424,10769,10884,11155,11477[/tex]
Mean is given by the sum of the observations divided by the total no of observations.
There are 7 observations in total, so the mean is
[tex]\Rightarrow \mu =\dfrac{10150+10211+10424+10769+10884+11155+11477}{7}\\\\\Rightarrow \mu=\dfrac{75,070}{7}\\\\\Rightarrow \mu =10,724.28[/tex]
thus, the mean is [tex]10,724.28[/tex]
The mean distance Ling travels each day is [tex]10724.28 \: \rm miles[/tex] approximately.
How to find the mean value of a data set?The mean value of the data set is the ratio of sum of data set's values to number of values it has.
If the data set consists of values [tex]x_1, x_2, ..., x_n[/tex], then we get the mean value as:
[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]
For this case, we have to find the average distance(in miles) from the distance Ling traveled for 7 days.
Thus, we get the average distance he traveled as:
[tex]\overline{d} = \dfrac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477 }{7}\\\\\overline{d} = \dfrac{75070}{7} \approx 10724.28 \: \rm miles[/tex]
Thus, the mean distance Ling travels each day is [tex]10724.28 \: \rm miles[/tex] approximately.
Learn more about mean value here:
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Related Questions
A mother is now 2 and ahalf times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.
Answers
Given:
A mother is now 2 and a half times old as her daughter Mary.
Four years ago the ratio of their ages was 3:1.
To find:
The present age of the mother.
Solution:
Let x be the present age Mary's mother and y be the present age of Mary.
A mother is now 2 and a half times old as her daughter Mary. So,
[tex]x=2\dfrac{1}{2}y[/tex]
[tex]\dfrac{x}{y}=\dfrac{2(2)+1}{2}[/tex]
[tex]\dfrac{x}{y}=\dfrac{5}{2}[/tex]
It means the ratio of their present age is 5:2. Let 5z be the present age of Mary's mother and 2z be the present age of Mary.
Four years ago the ratio of their ages was 3:1.
[tex]\dfrac{5z-4}{2z-4}=\dfrac{3}{1}[/tex]
[tex]1(5z-4)=3(2z-4)[/tex]
[tex]5z-4=6z-12[/tex]
[tex]-4+12=6z-5z[/tex]
[tex]8=z[/tex]
Now, the present age of the mother is:
[tex]5z=5(8)[/tex]
[tex]5z=40[/tex]
Therefore, the present age of the mother is 40 years.
PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️
Answers
What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?
Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?
Answers
Answer:
2156000 J.
Bonus: 2 snickers bar
Step-by-step explanation:
Applying
P.E = mgh................. Equation 1
Where P.E = Gravitational potential energy, m = mass of the person, h = height of the mountain, g = acceleration due to gravity.
From the question,
Given: m = 55 kg, h = 4000 m
Constant: g = 9.8 m/s²
Substitute these values into equation 1
P.E = (55×4000×9.8)
P.E = 2156000 J.
If one snikers bar is 1100000 J of energy,
Then, (2156000/1100000) snickers bar would be enough to climb the mountain
Number of snickers bar = (2156000/1100000) = 1.96 ≈ 2
What is the range of the function x is 0 and y is 40
Answers
Answer:
range is y-coordinates so it should be 40
Step-by-step explanation:
domain is x-coordinates
Worked Example:
Select all the expressions that have the same value as 4 1/2% of 50.
A. 0.045x50
B. 4.5%x50
C. 43%x50
D. 4.5x50
E. 0.45x50
F. 412x50
Answers
Answer:
Options A and B------------------------------------------
4 1/2% of 50 is 4.5% of 50 which is same as:
4.5% × 50or substituting % with 1/100,
4.5/100 × 50 = 0.045 × 50The matching choices are A and B.
Write two numbers that are opposites and more than 6 units away from 0.
Answers
Answer:
-7, 7
Step-by-step explanation:
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8) Hope that helps :)
The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.
Answers
Answer:
Length = 10 Width = 5Step-by-step explanation:
Let's assume that,
→ Length = 2x
→ Width = x
→ Perimeter = 30
Perimeter of rectangle formula,
→ P = 2(L + W)
Now the value of x will be,
→ P = 2(L + W)
→ 2(2x + x) = 30
→ 2 × 3x = 30
→ 6x = 30
→ x = 30/6
→ [ x = 5 ]
Then required dimensions are,
→ Length = 2x = 2 × 5 = 10
→ Width = x = 5
Hence, these are the dimensions.
Length = 10
width = 5
Given-
Perimeter =30
l=2b........................................................ i
so
P =2(l+b)
here
30 = 2(2b +b)... ... .............. as l=2b from i
30 = 2*3b
30 = 6b
b= 5
which implies l= 2*5 --->10............................................ from i
so
Length = 10
width = 5
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5 1/10-1 7/10=
A.3 3/5
B.6 4/5
C.3 2/5
D. 3 3/10
Answers
You're welcome
Someone please help with this!
Answers
Answer:
27/1
Step-by-step explanation:
3³=3·3·3=27
27=27/1
find the volume of each figure
Answers
Answer:
1) 17.5×14×64
→ 1568 in³2) volume= 0.5×3.6×10×5=
→ 903) d= 13, r=13/2= 6.5, h= 19
→ v= πr²h→ π(6.5)²×19→ 2521.91 mm³4) Base Area= a+b/2×h
→ (37+15)/2×25.7 cm²→26×25.7 cm²→ 668.2 cm²height= 20cmvoulme = 668.2×20→ 13364 cm²5) L×W×H
→ 25×7×18→ 175×18→ 3150 ft³6) v=πr²h
→ π(3.2²)(8)→ 81.92π→ 257.36 km²[tex]------------[/tex]
hope it helps...
have a great day!!
[tex] \huge \boxed{1}[/tex]
→17.5 × 14 × 6.4
→1568 in³
[tex] \huge \boxed{2}[/tex]
→0.5 × 3.6 × 10 × 5
→90 m³
[tex] \huge \boxed{3}[/tex]
→ Diameter = 13 mm
→ Radius = 13/2 = 6.5
→ Height = 19 mm
→Volume => πr²h
=> 22/7 × (6.5)² × 19
=> 2521.91 mm³
[tex] \huge \boxed{4}[/tex]
→ Base Area → a+b/2×h
→ (37+15)/2×25.7 cm²
→26×25.7 cm²
→ 668.2 cm²
(height= 20cm)
→volume => 668.2×20
→13364 cm²
[tex] \huge \boxed{5}[/tex]
→Area→ L × B × H
→ 25×7×18
→ 175×18
→ 3150 ft³
[tex] \huge \boxed{6}[/tex]
→Volume → πr²h
→ π(3.2²)(8)
→ 81.92π
→ 257.36 km²
[tex] \boxed{Extra-Information}[/tex]
Always divide the diameter with 2 to get the radius.Volume is expressed in cube³ unit.[tex] \bold \green{TheExtraterrestrial}[/tex]
Find the exact value of the expression
Answers
Answer:
here is the correct answer
can someone please help me on this question?
Answers
Answer: D
Step-by-step explanation:
If the graph is shifted 5 units down, each output value should decrease by 5.
y≥ −4x+10
Hello, I’m having trouble the the following question above. Can you help me please?
The question asks to name the A and B points
A: ( , )
B: ( , )
Answers
I'm assuming x and y intercepts which would be (2.5,0) and (0,10)
Use the figures to complete the statements proving the converse of the Pythagorean theorem.
Drag and drop a phrase, value, or equation into the box to correctly complete the proof.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
To prove the converse of the Pythagorean theorem, we can define a right triangle, Response area, with sides a, b, and x. Then, we will show that if △ABC is a triangle with sides a, b, and c where a² + b² = c², then it is congruent to △DEF and therefore a right triangle.
By the Pythagorean theorem, because △DEF is a right triangle, a² + b² = x².
If a² + b² = x² and a² + b² = c² , then c² = x². Further, since sides of triangles are positive, then we can conclude that c = x. Thus, the two triangles have congruent sides and are congruent.
If △ABC is congruent to a right triangle, then it must also be a right triangle.
Answers
To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.
\What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
ΔABC and ΔDEF
To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.
Thus,
ΔDEF is filled in the box.
Learn more about the Pythagorean theorem here:
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#SPJ1
please help me to solve this
Answers
Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Determine the value of x that make the equation true . 5 (x + 2) = 7 (4 - x)
Answers
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]5(x + 2) = 7(4 - x) \\ 5x + 10 = 28 - 7x \\ 5x + 7x = 28 - 10 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Please help giving brainliest please
Answers
How many times less
is 0.054 than 54?
Answers
Answer: 1000 times less
Step-by-step explanation: multiply 0.054x1000
Answer:
1000 times
Step-by-step explanation:
To find how many times less 0.054 is than 54,
we can divide 54 by 0.054.
This gives us 54/0.054 = 1000
This means that 0.054 is 1000 times less than 54.
evaluate the following polynomial when x = - 3
+6x² – 3x+5
2x
Answers
Answer:
-93
Step-by-step explanation:
Substitute by - 3 instead of X
A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.
Answers
Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]
Substituting the values in above equation
[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]
= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
A box office sold 147,523 tickets for an auto race.
Of this number, 68,724 tickets were for adults.
The rest were children's tickets.
How many children's tickets were sold?
78,709
81,799
121,201
Answers
Answer:
78,799 children's tickets
Step-by-step explanation:
147,523 total tickets, 68,724 adult tickets
Subtract to find amount of children's tickets:
147,523-68,724 = 78,799
Which is 3 logx + 4 log(x-2) written as a single logarithm?
logx (x - 2)
logx(x-2)
b. 12 logx(x - 2)
d. 12 logx(x-2)
Answers
Answer:
The answer is [tex]12\log{(x(x-2))}[/tex]
Step-by-step explanation:
Exponential property of logarithm:
We have that:
[tex]a \log{x} = \log{x^{a}}[/tex]
Sum of logarithms:
We have that:
[tex]\log{a} + \log{b} = \log{ab}[/tex]
Applying the exponential property:
[tex]3\log{x} = \log{x^3}[/tex]
[tex]4\log{(x-2)} = \log{(x-2)^4}[/tex]
So
[tex]3\log{x} + 4\log{x-2} = \log{x^3} + \log{(x-2)^4}[/tex]
Additive property
[tex]\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}[/tex]
Exponential property:
[tex]\log{(x(x-2))^12} = 12\log{(x(x-2))}[/tex]
The answer is [tex]12\log{(x(x-2))}[/tex]
find the area of right angle triangle whose base 9, Height 8?
Answers
Answer:38cm2
Step-by-step explanation:
The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .
Base is 9 cm.
8 centimeters tall.
Triangle area equals 1/2 x base x height
Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.
Learn more about Area
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Can someone please help asap need work to
Answers
In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so RT= 10
In ΔABC, the measure of ∠C=90°, AB = 86 feet, and CA = 61 feet. Find the measure of ∠A to the nearest degree.
Answers
Answer:
<A=45°
Hope this helps you
Answer:
45
Step-by-step explanation:
plz helpppppppppppppppppppppppppppppppppppp quick
Answers
Answer:
B. 8
Step-by-step explanation:
6, 15, 7, 5, 11, 11, 8
5, 6, 7, 8, 11, 11, 15
The middle number is 8.
Answer:
8
Step-by-step explanation:
What is the distance, rounded to the nearest tenth, between the points (-2,4) and (6,-4)?
Answers
HOPE ITS HELP
Graph the function n(x) = |x6|.
+Move Ray
-6
-4
-2
104
9
4
2
0
-2
Undo
2
4
Redo
6
x Reset
8
10
Answers
Answer:
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
Kenny loves to drink milk. He drinks 20 quarts of milk in 5 weeks. How many quarts of milk will Kenny drink in 12 weeks?
Answers
Answer:
32 mutipliy 20 and 5
Step-by-step explanation:
5 divided by G1 equals
Answers
Answer:
5/g
Step-by-step explanation: