How do you set up’s number line that represents w is less than 3 and one third
Answers
I have to know how to count
Related Questions
The new number 200 is 400 less than the original number what is the approximate per percent change
Answers
Answer:
200+400=600
400/600=2/3=66.6%
The dot plot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office.
Calculate the mean, median, and mode of the data. Based on the results, which list shows a comparison of the measures of central tendency, from least to greatest?
A) Median, mode, mean
B) Median, mean, mode
C) Mode, median, mean
D) Mean, median, mode
Answers
The list that shows a comparison of the measures of central tendency from the least to the greatest is mean, median and mode. (option D)
What is the correct order?The dataset represented with the dot plot is 2, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8,8, 8, 8, ,8, 8, 8, 8, 8, 8
Mean is the average of the dataset.
Mean = sum of numbers / total number in the dataset
[(2 x 1) + (5 x 4) + (6 x 4) + (7 x 6) + (8 x 10)] / 25 = 6.72
Median is the number at the center of the dataset.
The median = 1/2(n + 1)
1/2 x (26) = 13th number = 7
Mode is the number that occurs most frequently. The number that occurs the most in the dataset is 8.
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write the phrase nineteen less than the quotient of a number and fifteen as a mathematical expression
Answers
Let the number be x.
The answer would be \(\frac{x}{15}\) - 19.
Answer: (x/15) - 19
Step-by-step explanation: The quotient of a number and fifteen is (x/15). Nineteen less is (x/15) - 19.
Note: Hope this helps! I learned this last year, so I'm a little rusty.
what is the gcf of 45x^5, -15x^6, 5x^7
Answers
Answer:
5x^5
Step-by-step explanation:
Select the correct answer.
Function bis nonlinear, and b(9) = 4. Which equation could represent function b?
Answers
The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .
In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.
Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.
Of all the given options: the only equations which imply that b(9)=4 are :
i) b(x)=72/x - 4 and (iv) b(x)=4
Of this two options only the first option is non-linear.
Hence the required option is b(x)=72/x - 4 .
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Disclaimer:
The missing options are:
i) b(x) = 72/x - 4
ii) b(x) = √x + 7
iii)b(x) = 2x+1
iv) b(x) = 4
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According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow:
87 91 86 82 72 91
60 77 80 79 83 96
Required:
a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals).
Answers
Answer:
a
\(\= x = 82 \)
b
\(s = 9.64 \)
Step-by-step explanation:
From the question we are told that
The data is 87 91 86 82 72 91 60 77 80 79 83 96
Generally the point estimate for the mean is mathematically represented as
\(\= x = \frac{\sum x_i }{n}\)
=> \(\= x = \frac{87 +91 + 86 + \cdots + 96}{12}\)
=> \(\= x = 82 \)
Generally the point estimate for the standard deviation is mathematically represented as
\(s = \sqrt{\frac{ \sum ( x_i - \= x )^2 }{ n -1 } }\)
=> \(s = \sqrt{\frac{ ( 87 - 82 )^2 +( 91 - 82 )^2 + \cdots + ( 96 - 82 )^2 }{ 12 -1 } }\)
=> \(s = 9.64 \)
Part(a): The required mean is 82
Part(b): The required standard deviation is 9.639
Mean:
The mean is one of the measures of central tendency.
Part(a):
The formula for finding the mean is,
\(\bar{x}=\frac{\sum x_i}{n}\)
Now, calculating the mean for the \(n=12\) observation
\(\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82\)
Part(b):
The formula for the standard deviation is,
\(S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }\)
Substituting the given values into the above formula we get,
\(S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639\)
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who has guathmath here. this is the invitation code. https://s.tutorus.xyz/lp/invite?code=F47XR9
Answers
Step-by-step explanation:
thank youjjdjdkdkdkdkkdididososiid
A can of beans has surface area 366 cm?. Its height is 10 cm. What is the radius of the circular top?
Answers
The radius of circular top will be 4.125cm. It can be find out using formula for surface area of cylinder.
What is the surface area?
The surface area of a solid object is a measure of total area that the surface of the object occupy.
The surface area of a cylinder is 2*pi*r^2 + 2*pi*r*h.
where pi = 3.14 , r = radius , h = height.
In the statement we are given that surface area = 366cm^2.
And height ,h = 10cm
So, putting values in above formula we get,
366 = 2*3.14*r^2 + 2*3.14*r*10
366 = 2*3.14 (r^2 + r*10)
366/6.28 = r^2 + 10r
r^2 + 10r - 58.28 = 0
i.e. quadratic equation of form ax^2 + bx + c = 0
where a = 1, b = 10 , c = -58.28
And solution for this equation = (-b ±√b²-4ac)÷2a
by reducing this equation using above values
we get r = 4.125cm.
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Twenty out of twenty-five students wore red shirts to school on the same day. What is another way to write twenty out of twenty-five?
Answers
Answer:
20/25
Step-by-step explanation:
its is another way to write it
Kiara has 4 times as many crayons as markers. She has 80 crayons. How many markers does Kiara have?
Answers
Answer:
20
Step-by-step explanation:
80/4
20 markers
Doublecheck
as many crayons as markers means we need to divide crayons not multiply crayons
20*4=80
Let (a, 0) and (0, b) denote the x- and y-intercepts of any tangent line to the curve √ x + √y = √ c. Find the number c so that a + b = 10.
Answers
The value of c that satisfies the condition a + b = 10 is 10.
To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.
First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:
√x + √0 = √c
Simplifying, we have:
√x = √c
Squaring both sides of the equation, we get:
x = c
So, the x-intercept is given by (c, 0).
Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:
√0 + √y = √c
Simplifying, we have:
√y = √c
Squaring both sides of the equation, we get:
y = c
So, the y-intercept is given by (0, c).
Since we want the sum of the x- and y-intercepts to be equal to 10, we have:
c + 0 = 10
Simplifying, we find:
c = 10
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Which equation for the line that passes through the points (0,1) (6,-1)
Answers
Answer:
Y=1/3x-1 is the correct answer in slope intercept form:)
Hopefully! this help.
Step-by-step explanation:
Q6.
Here are two rectangles.
4x
A
2.5
All measurements are in centimetres.
The area of rectangle A is equal to the area of rectangle B.
Work out the perimeter of rectangle B.
2x-3
B
Answers
The perimeter of rectangle B is equal to 29 centimeters.
What does a perimeter mean?
The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms.
Given the area of the rectangle, A is equal to the area of rectangle B.
That is 2.5(4x)=(2x-3)7
10x=14x-21
4x=21
x=5.25
The perimeter of rectangle B is the sum of all sides= 2(2x-3+7)
The perimeter of B = 4x+8=29 cm.
Therefore perimeter of rectangle B is 29 centimeters.
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A cone has a volume of 37. Use this to match each question with its answer below.
If the cone's radius is 1, what is its height?
If the cone's radius is 2, what is its height?
If the cone's radius is 5, what is its height?
If the cone's radius is 1/2, what is its height?
d. 36 units
c. 9 units
b. 25 units
d. 9 units
Answers
The heights for the given radius and volume are 35.35 units, 8.83 units, 1.41 units and 141.40 units
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, a cone a volume of 37 units³, we need to find the heights for given radii,
We know that, the volume of a cone = π×radius²×height/3
Therefore,
1) If the cone's radius is 1, then its height =
37 = π×1×h/3
h = 37×3/3.14
h = 35.35 units
2) If the cone's radius is 2, then its height =
37 = π×4×h/3
h = 37×3/3.14×4
h = 8.83 units
3) If the cone's radius is 5, then its height =
37 = π×25×h/3
h = 37×3/3.14×25
h = 1.41 units
4) If the cone's radius is 1/2, then its height =
37 = π×1×h/3×4
h = 141.40 units
Hence, the heights for the given radius and volume are 35.35 units, 8.83 units, 1.41 units and 141.40 units
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Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answers
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
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Which is a multiple of 15?
Answers
Answer:The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that: 15 x 1 = 15
Answer:
15
Step-by-step explanation:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735,
MATH PLEASE HELP!!!!!!!!
Answers
The images below show a picture of ricoffy tin container with no dimensions indicated.the container is 2,5 times smaller than what it is in reality. Measure the diameter of the tin in mm and write down the real diameter in mm
Answers
The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
What is the measurement of the diameter?Determining the diameter of tin:
Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.
Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.
Here we have
A ricoffy tin container with no dimensions indicated
Let d and h be the diameter and height of the tin
Given that the container is 2/5 times smaller than d
then the diameter of the tin in the picture \(= d - 2/5(d)\)
\(= [5d - 2d]/5 = 3d/5\)
Therefore, The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
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Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
The radius of the circle is
units.
The center of the circle is at (
,
).
Answers
Answer:
Center = (5, 0)
Radius = 9
Step-by-step explanation:
Look at the picture
The radius of the circle is 9units and the center of the circle is at (5, 0)
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2+(y-b)^2 = r^2
where
r is the radius of the circle
(a, b) is the centre of the circle
GIven the equation is (x – 5)² + y² = 81.
Compare both equations
a = 5, b = 0
r^2 = 81
r = 9units
Hence the radius of the circle is 9units and the center of the circle is at (5, 0)
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What are the additive and multiplicative inverses of h(x) = x - 24?
additive inverse: j(x) = x + 24; multiplicative inverse: k(x) =
1
X-24
1
additive inverse: j(x) = = ; multiplicative inverse: k(x) = -x + 24
X-24
additive inverse:j(x) = -x + 24; multiplicative inverse: k(x) =
1
X-24
O additive inverse: j(x) = -x + 24; multiplicative inverse: k(x) = x + 24
Answers
Answer:
Additive inverse : j(x) = -x + 24
Multiplicative inverse : k(x) = 1/x-24
Step-by-step explanation:
I literally have no idea how, I got this answer off of quizlet :) have a good day.
The additive inverse and multiplicative inverse is -x+24 and 1/x-24.
Additive Inverse and Multiplicative inverseAdditive InverseAdditive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
Multiplicative inverseThe multiplicative inverse is a number is a value of which when multiplied by the original number, results in 1.
Given
h(x) = x - 24
To findThe additive inverse and multiplicative inverse.
How to get the additive inverse and multiplicative inverse?h(x) = x - 24 is given,
Additive inverse simply means changing the sign of the number and adding it to the original number, then
h'(x) = -x + 24, on adding
h(x) + h'(x) = x - 24 - x + 24 = 0
The multiplicative inverse is a number is a value of which when multiplied by the original number, then
\(\rm h'(x) = \dfrac{1}{x - 24}\), on multiplying we get,
\(\rm h(x) * h'(x) = (x-24)\dfrac{1}{x - 24} = 1\)
The additive inverse and multiplicative inverse is -x+24 and 1/x-24.
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there are 3 piles papers on a desk each pile has 21 papers how many papers are there total
Answers
Answer:
63 papers total.
Step-by-step explanation:
3 piles, 21 papers a pile, 3*21 =63.
Answer:
63
Step-by-step explanation:
because 3x21 is 63
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answers
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
Find the value of x.
Answers
Answer:
x=3
Step-by-step explanation:
Find the radius and use Pythagoras on the right side
What is the quotient of -231 and 3
Answers
Answer :-77. ✅
Step-by-step explanation:
To find the quotient of -231 and 3, we divide -231 by 3.
-231 ÷ 3 = -77
The quotient of -231 and 3 is ✅
Romina buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. What is the probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie?
Answers
The probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie is 7/100.
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.
The probability of picking an oatmeal cookie then a sugar cookie = (number of oatmeal cookies / total number of cookies) x (number of sugar cookies / total number of cookies -1)
Total number of cookies = 8 + 4 + 6 + 7 = 25
The probability of picking an oatmeal cookie then a sugar cookie = (7/25) x (6/24) = 7/100
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A spinner has the numbers 1 thru 9.
What is the probability of P(less than 6)? Write the answer as a decimal.
Answers
This is rοughly 0.5556 when expressed in decimal fοrm as the number οf favοrable οutcοmes divided by the tοtal number οf pοssible οutcοmes.
What is decimal ?Each integer in a divisοr is a pοwer if 10, starting first frοm left οf the decimal pοint. Decimals are based mοstly οn base-10 numbering system. In the number 3.14159, fοr instance, the digit 3 is in the "οnes" place, whereas 1 is in the "tenths," 4 is in the "hundredths," and sο οn.
In science, math, and daily life, decimals are frequently emplοyed. In additiοn tο representing mοnetary values and percentages, they are additiοnally emplοyed tο regs that cannοt be stated as whοle numbers, including measures οf length, weight, and time.
The spinner has the numbers 1 thrοugh 9, therefοre there are nine equally likely events that cοuld οccur. Out οf these nine οutcοmes, 1, 2, 3, 4, and 5 are the οnly οnes that fall belοw the threshοld οf six.
The number οf favοurable οutcοmes divided by the tοtal number οf pοssible οutcοmes gives the likelihοοd οf P(less than 6):
P(less than six) = 5/9
This is rοughly 0.5556 when expressed in decimal fοrm as the number οf favοurable οutcοmes divided by the tοtal number οf pοssible οutcοmes .
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what is the solution of
y = 3x – 4 –3y = –9x + 12
Answers
9514 1404 393
Answer:
any solution of y = 3x -4
Step-by-step explanation:
The two equations describe the same line. There are an infinite number of solutions. Any values of x and y that satisfy either equation will satisfy both equations.
__
The graph shows the lines in different colors and textures, so you can see they are the same line.
The number of members in the fan club was 91 in 2000 and has decreased by 6% each year. Which model shows the fan club's membership in terms of t, the number of years since 2000?
Answers
Given,
The number of member in 2000 is 91.
The percentage of decrease is 6%.
Required:
The expression model shows the fan club's membership in terms of t, the number of years since 2000.
The expression for the member club is:
\(\begin{gathered} y=91\times(1-\frac{6}{100})^t \\ y=91\times(\frac{100-6}{100})^t \\ y=91\times(\frac{94}{100})^t \\ y=91\times(0.94\frac{}{})^t \end{gathered}\)Hence, the expression for t is y=91(0.94)^t.
Find the area of the shaded sector of the circle.
Answers
The area of the shaded sector of the circle is 7.27 m^2
What is the area of a circle?The area of a circle is the amount of two-dimensional space taken up by the circle. It can be calculated by using the formula A = πr2, where A is the area, π is 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle. The diameter of a circle, which is the distance from one side to the other, is twice the radius. Therefore, the area of a circle can also be calculated by using the formula A = πd2/4, where d is the diameter of the circle.
The area of the shaded sector of the circle is 7.27 m^2.
This can be calculated using the formula A = (π/180) x r^2 x θ, where r is the radius (18 m in this case), and θ is the angle in degrees (110° in this case).
Therefore, A = (π/180) x (18^2 x 110) = 7.27 m^2.
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you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
Answers
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.