The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is C, standard deviation.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Shifting data, by adding a constant to each data value, do not change the standard deviation. This is because the standard deviation is a measurement of how much a group of values varies or is dispersed.
Hence, the correct option is C, standard deviation.
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What percentage of the 50 regions have stores within 1, 2, or 3 standard deviations of the mean?
Approximately 99.7% of the data fall within three standard deviations of the mean.
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
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The cost of having a package delivered has a base fee of $9.10. every pound over 5 lbs costs an additional $0.42 per pound. write an equation that expresses the cost c in terms of w, the total weight in pounds of a package weighing over 5 lbs.
The expression c = 9.10 + 0.42(w-5) ; w > 5 will represent the cost c in terms of w, the total weight in pounds of a package weighing over 5 lbs.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Total cost below 5 lbs = base fee
Total cost over 5 lbs = base fee + additional 0.42/pound
Let's say the total cost is c and the total pounds is w
Then,
c = 9.10 + 0.42(w-5) ; w > 5
Here for w = 6 it will gives w - 5 = 6 - 5 = 1 lbs.
Hence "The expression c = 9.10 + 0.42(w) ; w > 5 will represent the cost c in terms of w".
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Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
Answer:
30
Step-by-step explanation:
3+0.2x
3(2)+0.1x
8.1
26
GEOMETRY [35 POINTS]
What is the value of X?
What is the measure of angle A?
What is the measure of angle B?
Answer:
Step-by-step explanation:
Comment
The key to this is to know what a remote angle is. A remote angle is one that has one leg in common with the exterior angle. Make this a little simpler.
The exterior angle is outside the triangle. In this case it is the 157 degree angle.
The two remote angles each contribute just one side to the exterior angle. <B contributes BC and <A
Theorem
The two remote angles = the exterior angle.
Equation
x + x - 21 = 157
Solution
x + x - 21 = 157 Combine the left side
2x - 21 = 157 Add 21 to both sides
2x - 21 + 21 = 157+21 Combine
2x = 178 Divide by 2
2x/2 = 178/2
x = 89
Answer
x = A = 88
89 - 21 = B =68
The volume of the cone is 96 cm^3 and the radius is 6 cm. What is the height of the cone?
If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.
The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:
V= πr²h/3
Here, V is the volume of the cone, r is the radius of the cone and h is the height.
This equation can be rearranged to find the value of height as follows,
h=3V/πr²
Now, add the given values to the equation,
h= 3(96)/π(6²)
h= 288/π(36)
As π = 3.14
h= 288/3.14(36)
h= 288/ 113.04
h= 2.55 cm
Thus, the height of the cone is calculated to be 2.55 cm.
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Of the books in a personal library, 3/5 are fiction. Of these books, 6/7 are paperback. What fraction of the books in the library are fiction and paperbacks?
The fraction of the books in the library that are fiction and paperbacks is 18/35
How to calculate the fraction ?
3/5 of the books in the library are fiction
6/7 of the books are paperback
Therefore the fraction of the books that are fictions and paperbacks can be calculated as follows
3/5 × 6/7
= 18/35
Hence 18/35 of the books are fiction and paperbacks
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simplify so that your answer contains only positive exponents.
Step-by-step explanation:
18.
[tex] = { ({x}^{2}) }^{ - 3} .2 {x}^{3} [/tex]
[tex] = {x}^{2 \times ( - 3)} .2 {x}^{3} [/tex]
[tex] = {x}^{ - 6} .2 {x}^{3} [/tex]
[tex] = 2 {x}^{ - 6 + 3} [/tex]
[tex] = 2 {x}^{3} [/tex]
[tex] = \frac{2}{ {x}^{3} } [/tex]
[tex] \: [/tex]
19.
[tex] = {(2m)}^{2} . {(3 {m}^{3} )}^{2} [/tex]
[tex] = {2}^{2} {m}^{2} . {3}^{2} {m}^{3 \times 2} [/tex]
[tex] = 4 {m}^{2} .9 {m}^{6} [/tex]
[tex] = (4 \times 9) {m}^{2 + 6} [/tex]
[tex] = 36 {m}^{8} [/tex]
y(x) = a³ + cos(x) differentiate function using chain rule
Answer: -sinx
the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,
f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]
A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.
y = cos(x) + a^3
differentiating both sides with respect to x
dy / dx = d/dx (cosx) + d/dx (a^3)
by basic differentiation we know that
d/dx of cosx = -sinx
and differentiation of a constant is 0
therefore,
dy / dx = -sinx + 0
dy / dx = -sinx
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Which is the graph of 5x+4y ≥ 2?
Answer:
b
Step-by-step explanation:
5x + 4y [tex]\geq[/tex] 2
4y [tex]\geq[/tex] - 5x + 2
y [tex]\geq[/tex] (-5/4)x + (1/2)
In which quadrant does the point (13, 18) lie?
A. Quadrant III
B . Quadrant IV
C. Quadrant I
D. Quadrant II
Answer:
quadrant I
Step-by-step explanation:
because both numbers are positive and quadrant I is the only one that has positive numbers on the y and x axis.
Answer:
C. Quadrant 1
Step-by-step explanation:
if both X and Y are positive, then the point lies in the Quadrant I.
A company is making building blocks. Each building block is a cube and has volume 64/ 125 cubed . How long is each side of the building blocks?
The length (in feet) of each side of the cube block is 1(one) ft.
What is a cube?
A cube is a three-dimensional solid object in the figure that's girdled by six square faces, angles, or sides, three of which meet at each vertex.One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges. The cube is also a right rhombohedron, a 3- zonohedron, a square parallelepiped, and an equilateral cuboid. In three exposures, it's a normal square prism, and in four, it's a trigonal trapezohedron.Volume of cube is given by,
V = [tex]L^3\ (length^3)[/tex]
[tex](1 ft)^3 = L^3[/tex]
L = 1ft.
Thus,
The length(in feet) of each side of the block is 1(one) ft.
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In February 2003,
the Battlefords Chamber of
Commerce in Saskatchewan
placed a cage containing a
64-cubic foot ice cube along
Yellowhead Highway. Local
customers were asked
to predict when the ice cube
would melt enough for a ball
above the ice cube to fall through it. What was
the surface area of the cube?
The side length of the cube is 4 feet. Then the surface area of the cube will be 96 square feet.
What is a volume of a cube?Suppose that: The side length of the considered cube is L units. Then, we get:
The volume of that cube = L³ cubic units.
The surface area of that cube = 6L² square units.
In February 2003, the Battlefords Chamber of Commerce in Saskatchewan placed a cage containing a 64-cubic foot ice cube along Yellowhead Highway. Then the side length of a cube will be
64 = L³
L = ∛64
L = 4 feet
Then the surface area of the cube will be
SA = 6 x 4²
SA = 6 x 16
SA = 96 square feet
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A is between c and t. if ct = 25 and at = 18, what is the length of segment ca?
The length of the segment CA is 7.
Length of the segment
Basically, length of the line segment is fixed, which is the distance between two fixed points.
The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.
Given,
A is lies between C and T.
Then the values of CT = 25 and AT = 18.
Now we have to find the length of the segment CA.
Consider the point C, A and T are in straight line.
Then A lies between C and T.
So, it is the center point between C and T.
Here we have the length of total line that is
=> CT = 25.
And the length of AT, that is
=> AT = 18.
Then we need to find the length of the segment CA,
By subtracting the length of AT from the total length CT,
That is,
=> CA = CT - AT
Apply the values,
=> CA = 25 - 18
=> CA = 7.
Therefore, the length of the segment CA is 7.
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3. the difference of two-thirds of a number x and
6 is at least -24. which inequality represents all
possible values for x?
The inequality which represents all the possible values for x is (2x/3) - 6 ≥ 24.
It is given in the question that the difference of two-thirds of a number x and 6 is at least -24.
We have to find the inequality which represents all the possible values for x.
In mathematics, Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Hence, according to the data given in the question, we can write,
(2x/3) - 6 ≥ 24
Here, we can also find the possible values of x.
(2x/3) - 6 ≥ 24
2x/3 ≥ 24 + 6
2x/3 ≥ 30
x ≥ 30*3/2
x ≥ 45
Hence, every number greater than or equal to 45 will be a possible value of x.
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$5660
R= 11%
T= 9 months
Answer:
this is a finance and it is an
25,952,938 rounded to hundred thousands place
Answer:
26,000,000
Step-by-step explanation:
I had that question before
Answer:
26,000,000
Step-by-step explanation:
9 is the hundred thousand digit starting from behind .
So, you start rounding up from 9.
John drove 235 miles in 5 hours. If he continued at that same rate, how long would it take to travel 376 Miles?
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John drove 235 miles in 5 hours. Then the speed of the John will be
Speed = 235 / 5
Speed = 47 miles per hour
If he continued at that same rate. Then the time to travel 376 miles will be given as,
47 = 376 / Time
Time = 376 / 47
Time = 8 hours
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
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Answer:8
Step-by-step explanation:
how do you calculate these numbers from least to greatest −2.0, 0.25, −1.02, 1.98.?
Answer: -2.0, -1.02, 0.25, 1.98
Step-by-step explanation:
Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)
round the following numbers to the nearest ten thousands: 1. 57,342 2. 76,564 3. 95,634 4. 85,756 5. 63,526
Answer:
1. 60,000
2. 80,000
3. 100,000
4. 90,000
5. 60,000
Step-by-step explanation:
Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.
57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)
8 256m to km shortcut method and 25 000 mm to hm and 864 dm to dam and
Brian rolls a fair dice 12 times.
How many times would Brian expect to roll a number greater than 4?
Answer:
I times the 12 by 5 and divided by 2 and subtract by 12
I get 18 and I thought it is 18
Answer:
Step-by-step explanation:
If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4
If rolled 12 times, then 4/12 times the number would be greater than 4
4/12 = 1/3
crude oil has sold at $21.75 a barrel. a barrel has a volume of 42 gallons. what is the price of crude oil in ¢ /cup? (one gallon
The price of crude oil in 3.24 ¢ /cup.
What is conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
When converting to an equal value, the suitable conversion factor must be used. To convert inches to feet, for example, the suitable converting value is 12 inches equal 1 foot.A conversion factor is a ratio (and any fraction) that depicts the connection between two distinct units.Some conversion factors are-
One gallon = 4 quarts;
4 cups = 1 quart
( ¢ =cents)
Now, as per the given question;
The crude oil was sold at $21.75 per barrel.
The volume of the barrel is 42 gallons.
Let 'P' be the total price of crude oil in ¢ /cup.
To determine the price in cents per cup, we must use the conversion factors:
Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4 quarts)×(1 quartz/ 4 cups).
Simplify the above equation;
Price per cup P = 3.24 ¢ /cup.
Therefore, the price of crude oil is 3.24 ¢ /cup.
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Which of the following cannot be used to explain why a hypothesis is true?
A Definition
B Postulate
(C) Theorem
D) Geometry
Answer: B
Step-by-step explanation: A Postulate is statement that is assumed true with no proof.
A hypothesis is an explanation provided for a phenomena. The correct option is B.
What is a Hypothesis?A hypothesis is an explanation provided for a phenomena. The scientific method demands that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists often establish scientific hypotheses on past data that cannot be adequately explained by existing scientific ideas.
The one that cannot be used to explain why a hypothesis is true is a postulate. This is because a postulate is a statement that is considered to be true but has no supporting evidence.
Hence, the correct option is B.
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Could I have help, please look at the picture
Answer:
80
Step-by-step explanation:
We have a specific formula for the Surface Area of a Pyramid.
Which is= A+1/2ps ))))
1. A stands for the Area of the base. let's find our area! (This is length x width)
So this is 4x4=16
2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.
3. Finally, S stands for Slant Height. Which is eight inches.
Lets plug our numbers in!
4. Now we get a sparkly, full formula! 16+1/2x16x8
5. 16+1/2x128
6. 16+64
7. 80
if this answer is wrong, dislike it/report it!
much love <333 have a nice day!
The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is ________.
The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is - e.
What is slope?
slope, The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").[tex]l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C[/tex]
Yy = mx + c
[tex]m = \frac{- Delta H_{vol} }{R}[/tex]
m = slope
Ans = - e
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To pay for a home improvement project that totals $11,000, Genesis is choosing between taking out a simple interest bank loan at 6% for 3 years or paying with a credit card that compounds monthly at an annual rate of 16% for 6 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $396.49, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.
The monthly credit card payment would be $354.44, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $323.89, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.
What is the monthly payment under simple interest?
The total interest on the simple interest basis can be determined as the cost of the home improvement multiplied by the annual simple interest rate and also multiplied by the number of years
I=PRT
I=interest for 3 years=unknown
P=principal=$11,000
R=simple interest rate=6%
T=number of years=3
I=$11000*6%*3
I=$1980
There are 12 months multiplied by 3 years
monthly payment=($11,000+$1,980)/(3*12)
monthly payment=$360.56
Monthly compounding option:
PV=PMT*(1-(1+r)^-N/r
PV=loan amount=$11,000
PMT=monthly payment=unknown
r=monthly interest rate=16%/12=0.0133333333333333
N=number of monthly payments in 6 years=12*6=72
$11,000=PMT*(1-(1+0.0133333333333333)^-72/0.0133333333333333
PMT=$238.61
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answer this question
The equation of the function g(x) is g(x) = -2|x - 2| + 5
How to determine the equation of the function g(x)?The function f(x) is given as
f(x) = 2|x - 2| - 5
The rule of the transformation is a reflection across the x-axis
This is represented as
g(x) = -f(x)
So, we have
-f(x) = -2|x - 2| + 5
Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5
g(x) = -2|x - 2| + 5
Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5
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help a soon as possible i don't know how to work this out
Answer:
the answer of finding highest common factor is 286286
Answer:
24167 ( or 11 x 13^3)
Step-by-step explanation:
x = 2 x 7 x 11 x 11^2 x 13^3 x 13^2
y = 3 x 11 x 13^3
The underlined are common factors of x and y
11 x 13^3 = 24167 is the GCF
In a survey of 1094 adults, 83% responded "yes" to the survey question.
How many adults answered "yes"? (round to the nearest whole person as needed)
Answer:
Pretty sure its 909. 83 percent of 1093 is 908.02. If you round it to the nearest person, it is 909
Step-by-step explanation:
Name the angle in as many different ways as possible.
Answer:
no sé
Step-by-step explanation:
los tipos que hay según la suma y la posición en la que quedan colocados.