Answers
Answer:
1. a=2, b=3 c=4
2.b
3. mean= 29, median=30, all are mode, range=21
Step-by-step explanation:
Related Questions
is my answer correct?
THE ONE-EYED JACK MINE INVESTIGATION
The abandoned One-Eyed Jack Mine is about 31 miles off the main road adjacent to the Salmon River Wilderness area. There is only a rutted dirt track left where the access road used to run. It is so steep that when we hiked up it we had to pause every fifty feet or so to catch our breath. It seemed impossible but 3- 5 miles further we found remnants of the old wagons, the mineshaft, and the mill. The gold ore found in this mine was embedded in quartz and prospectors used the mill to grind up the quartz and rinse it with acid in huge shallow vats that were agitated so that the gold would sink to the bottom and the quartz could be washed away.
One arrangement of equipment we noticed included a circular vat about 18 feet in diameter which must have been connected by a huge belt to a smaller circular drive wheel 10 feet in diameter. The distance between the wheel and the vat was 8 feet. The equipment had been partially pre-fabricated then carried up the hill piece by piece to be re-assembled on the spot. Just the belt to connect the vat to the drive wheel would have been a major burden. We wondered how many times they had to carry new ones up to replace it. Calculate the length of belt needed to go around the drive wheel and the vat.
Answers
Answer:
The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.
The circumference of the vat is 18 feet * 3.14 = 56.52 feet.
The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.
what is the surface area of 10 in 10 in 10in
Answers
The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).
Mike leases a new pickup by paying $3500 up front and $384 a month over three years. The lease also stipulates he will be charged $0.15 per mile for every mile over 36,000. If he puts 41,122 miles on the truck, what will be the total cost of the lease? Round your answer to the nearest cent (hundredth), but do not include a $ in your response.
Answers
The total cost of the lease is $18,092.30.
What is the total cost of the lease?The total cost of the lease is a function of the up front fee, payment per month and the total cost for miles over 36,000.
Total cost = $3500 + (384 x 12 x 3) + [0.15 x (41,122 - 36,000)]
$3500 + 13,824 + 768.30 = $18,092.30
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3.6 + 1.23 + 0.042 find the sum
Answers
You add all three up and that is what you get.
helpppp ASAP.
1. What is the height of the cone? Explain how you found the height. (4 points)
2. Now that you have the height of the cone, how can you solve for the slant height, s? (3 points)
3. How far does the ant crawl to get from the base of the cone to the top of the hill? Show your work. (3 points)
Answers
1. The height of the cone is, 22.18 mm.
2. The slant height is, 28.14 mm.
3. The ant crawl to get from the base of the cone to the top of the hill is, 28.14 mm.
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.
The volume of cone V = (1/3)πr²h
Given that,
The volume = 8792 mm³
1. by using the formula to solve for h,
we get h = (3V)/(πr²).
Plugging in the values given,
we have h = (3(8792 mm³))/(π(20 mm)²) ≈ 22.18 mm.
Therefore, the height of the cone is approximately 22.18 mm.
2. it is known that, from the Pythagoras theorem
s² = h² + r²,
where s is the slant height, h is the height, and r is the radius.
Plugging in the values we found in part 1,
we have s² = (22.18 mm)² + (20 mm)² ≈ 791.88 mm².
Taking the square root of both sides, we get s ≈ 28.14 mm.
Therefore, the slant height is approximately 28.14 mm.
3. To find the distance the ant crawls to get from the base of the cone to the top of the hill, we need to find the length of the slant height.
Using the value we found in part 2,
the length of the slant height is approximately 28.14 mm.
Therefore, that is the distance the ant would crawl to get from the base of the cone to the top of the hill.
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A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.
Answers
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is \(4.615<\sigma<8.031\) and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
\(df = 27-1=26\)
The determine the confidence interval using the below formula:
\(\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)\)
Now, using the chi distribution the above expression becomes:
\(\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)\)
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
\(\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}\)
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
Answers
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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Sketch and shade the region in the xy-plane defined by the equation or inequalities.
|x| < 7 and |y| < 3 g
Answers
Answer:
attached below is the solution
Step-by-step explanation:
|x| < 7
= -7 < x < 7
| y | < 3
= -3< y < 3
attached below is the shaded region in the xy-plane
pls solve ii need it
Answers
Answer:
multiply each decimal
Step-by-step explanation:
Answer:
1.144
Step-by-step explanation:
multiply 1.1x0.8x1.3
Two increased by the product of a number and 7 is at most -29
Answers
The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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Mr Rodriguez said he drove 15 miles each day his accountant said he drove about 14 miles
Answers
Answer:
he drove 15 miles a day
Step-by-step explanation:
in exploration the answer is in the question
stick of butter weight a quarter of a pound how much do 13 sticks of butter weight
Answers
you get 3 1/4 pounds as a mixed number, 3.25 pounds as a decimal, and 13/4 pounds as a fraction. Hope this helped!
18 Geometry question: Use an algebraic equation to find the measure of each angle that is representative in terms of X
Answers
Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°
What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
Science Test Scores
See
Leaf
6
1
48
3
2579
24.45
Xay 61 868
Answers
Answer:
range = 27
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest = 95 , smallest = 68
range = 95 - 68 = 27
Answer:
46
Step-by-step explanation:
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
Answers
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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Frank and Lynn are co-workers getting paid the same salary. They both decide to quit their jobs and start going to school on the same day. Frank gets a degree after just 18 months and spends $6,500 dollars on his education. Lynn only spends $3,500, but it takes her 2 years to get her degree. Assuming that they each will make $6,000 more per year after graduating, which of the following is true?
Answers
Answer:
A, Frank will recover his investment at an earlier date than Lynn.
Step-by-step explanation:
How do I know which one is top/bottom and left/right on the area between curves
Answers
How do I know which one is top/bottom and left/right on the area between curves?
According to the differential element that you provide
For example, in the first figure, if we choose a vertical element, we will compare the values of y so, the upper will be greater than the value that in the bottom
So, the upper is the line (2x) and the lower is the quadratic function
Show that the partition of G into left cosets of H is different from its partition into right cosets?
Answers
It is shown below that the partition of G into left cosets of H is different from its partition into right cosets when n ≥ 3.
How to prove right cosets?Let us first find the left cosets of H in G:
H = {1, s₀}
s₁H = {s₁, s₁s₀}
s₂H = {s₂, s₂s₀}
s₃H = {s₃, s₃s₀, s₂s₁, s₂s₁s₀}...
Now, find the right cosets of H in G:
H = {1, s₀}
Hs₁ = {s₁, s₀s₁}
Hs₂ = {s₂, s₀s₂}
Hs₃ = {s₃, s₀s₃, s₁s₂, s₀s₁s₂}...
Observe that the left cosets of H in G and the right cosets of H in G are not the same when n≥3. This is because s₁s₀ is not in H, but s₀s₁ is in H.
Therefore, the left coset s₁H is not the same as the right coset Hs₁. Similarly, s₂s₁s₀ is not in H, but s₀s₁s₂ is in H, so the left coset s₃H is not the same as the right coset Hs₃.
Thus, it is shown that the partition of G into left cosets of H is different from its partition into right cosets when n≥3.
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write y+4=-2(x-1) in slope intercept form
Answers
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
Answers
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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How many degrees Fahrenheit is -20°C?
Answers
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
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i hope this helps
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Complete the table of ordered pairs for the linear equation
Answers
Answer:
Step-by-step explanation:
See attachment.
calculate the mean deviation of the following numbers 8,5,7,10,3,4,31,12.
Answers
Answer:
5.75.
Step-by-step explanation:
The mean = (8+5+7+10+3+4+31+12)/ 8
= 80/8
= 10.
Now we calculate the difference of each value from the mean We take the absolute ( positive) differences
10 - 8 = 2
10 - 5 = 5
10 - 7 = 3
10 - 10 = 0
10-3 = 7
10 = 4 = 6
10 - 31 = 21
10 - 12 = 2
Sum of the differences = 46
and the mean deviation is 46/8 = 5.75.
Help me please! And hurry really need the answer on how many logs does Teresa need to maintain the fire for 18 hours?
Answers
Basic info:
4 (x) hours = 6 logs (y), need keep fire burning for 18 hours.
Problem:
4x = 6y
what y = 18x?
8x = 12y
16x = 24y
18x = 26y
Answer:
26 logs
Please answer this correctly
Answers
Answer:
\(10.71 yd\)
Step-by-step explanation:
First let's find the radius of the quarter circle.
\(area =\frac{1}{4} \pi {r}^{2} \\ 7.065 = \frac{1}{4} *3.14 {r}^{2} \\ \frac{7.065}{3.14} = \frac{1}{4} * \frac{3.14 {r}^{2} }{3.14} \\ 9 = {r}^{2} \\ \sqrt{9} = r \\ 3 yd= r\)
Now let's find the arc length of this quarter circle.
\( \frac{90}{360} \times 2\pi \: r \\ \frac{1}{4} \times 2 \times 3.14 \times 3 \\ = \frac{9.42}{4} \\ = 4.71yd \\ \)
Now let's find the perimeter\(perimeter \\ = arc \: \: length + radius + radius \\ = 4.71 + 3 + 3 \\ = 10.71yd\)
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Answer:
10.71 ydStep-by-step explanation:
The formula of an area of a circle:
\(A=\pi r^2\)
r - radius
The formula of an area of a quarter circle:
\(A=\dfrac{1}{4}\pi r^2\)
We have the area of a quarter circle:
\(A=7.065\ yd^2\)
Substitute to the formula and solve for r :
\(\dfrac{1}{4}\pi r^2=7.065\) multiply both sides by 4
\(4\cdot\dfrac{1}{4}\pi r^2=7.065\cdot4\\\\\pi r^2=28.26\)
Use 3.14 for π
\(3.14r^2=28.26\) divide both sides by 3.14
\(\dfrac{3.14r^2}{3.14}=\dfrac{28.26}{3.14}\\\\r^2=9\to r=\sqrt9\\\\\boxed{r=3\ yd}\)
The circumference of this figure consists of an arc (quarter of a cirumference of a circle) and two radiuses.
The formula of a circumference of a circle:
\(C=2\pi r\)
The formula of a quarter of a cicrumference of a circle:
\(L=\dfrac{1}{4}\cdot2\pi r\)
Substitute
\(L=\dfrac{1}{4}\cdot2\pi\cdot3=1.5\pi\)
Use 3.14 for π
\(L=1.5(3.14)=4.71\ yd\)
The perimeter of a quarter circle:
\(P=4.71+2(3)=4.71+6=10.71\ yd\)
solve 55 and include the value as well do not only find the location
Answers
The absolute maxima at x=-1 is 4.4142
The absolute minima at x=1 is 1
Find the value of L that Will Maximize the profit Q=L²e^0.01L
Answers
The minimum profit occurs at L = 0, where Q = 0.
To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).
We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.
Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.
Testing for critical points:Q = L²\(e^{(0.01L)\)
Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)
= 0(2L + 0.01L²) \(e^{(0.01L)\)
= 0L (critical point) or 200 \(e^{(0.01L)\)
= 0 (extraneous, ignore)
2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)
The only critical point is at L = 0.
Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)
= \(2e^{(0)\) = 2Since Q''(0) > 0,
The critical point at L = 0 is a minimum.
Therefore, there is no value of L that maximizes the profit.
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The values of L that will maximize the profit are 0 and -200
Finding the value of L that will maximize the profitFrom the question, we have the following parameters that can be used in our computation:
\(Q = L\²e^{0.01L\)
Differentiate the function
So, we have
\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)
Set the equation to 0
\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)
Cross multiply
\(L \cdot (L + 200) \cdot e^{0.01L} =0\)
When expanded, we have
L = 0, L + 200 = 0 and \(e^{0.01L} =0\)
When solved for L, we have
L = 0 and L = -200
Hence, the values of L are 0 and -200
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Calculate the area of the trapezoid. (The sum is square millimeters)
15 mm
13 mm
22 mm
square millimeters
K.
42
56
10
Answers
Answer:
The area of the trapezium is 308 mm2.
Area of trapezium is h(a+b)/2
The diameter of a round skating
rink is 15 m. Find the circumference
of the rink to the nearest meter.
Answers
Answer: 47 meters
Step-by-step explanation:
The equation for the diameter of a circle is \(C=d\pi\), so we just multiply the diameter (15) by \(\pi\). \(15\pi\), or roughly 47.1238898038. Rounded to the nearest meter, 47 meters. Also, happy pi day!