90 minutes is about 5400 seconds long or 1.5 hours long.
What is time ?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour. Because to leap seconds, a minute occasionally has 61 seconds in the UTC time zone. The minute is acceptable for use with SI units even though it is not a SI unit. Minutes are represented by the SI unit min.
Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24 of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.
The second is the International System of Units' unit of time, previously defined as 1/86400 of a day. This element came from the split of a day into 24 hours, 60 minutes, and then 60 seconds each.
So , 90 minutes can be writen as
90 * 60 = 5400 seconds
90 minutes can also be written as
90/60 = 1.5 hrs
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a scatterplot is the best visualization for showing which of the following (choose one or more)? indirect or negative relationship between two ratio variables the relationship between two interval/ratio variables correlation frequency of two nominal variables
Scatterplots are best for showing the relationship between two interval/ratio variables and indirect or negative relationship between two ratio variables.
Scatterplots are best for showing:
⇒the relationship between two interval/ratio variables
⇒indirect or negative relationship between two ratio variables
Scatterplots display points on a coordinate plane, with one variable plotted on the x-axis and the other variable plotted on the y-axis. This allows us to see the pattern of relationship between the two variables. If there is a positive or negative relationship, we can see if the points tend to increase or decrease as we move from left to right or from bottom to top. If the relationship is indirect, we can see if the points tend to curve in one direction or another.
Scatterplots are not the best visualisation for showing: correlation
frequency of two nominal variables
For showing correlation, a line of best fit (regression line) can be added to a scatterplot, but other visualizations such as a correlation matrix or a heat map are more commonly used.
For showing frequency of two nominal variables, a two-way table or a mosaic plot are better suited, as they can display the count or proportion of cases for each combination of the two nominal variables.
Therefore, Scatterplots are best for showing the relationship between two interval/ratio variables and indirect or negative relationship between two ratio variables.
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Scatterplots are best for showing:
⇒the relationship between two interval/ratio variables
⇒indirect or negative relationship between two ratio variables
Scatterplots display points on a coordinate plane, with one variable plotted on the x-axis and the other variable plotted on the y-axis. This allows us to see the pattern of relationship between the two variables. If there is a positive or negative relationship, we can see if the points tend to increase or decrease as we move from left to right or from bottom to top. If the relationship is indirect, we can see if the points tend to curve in one direction or another.
Scatterplots are not the best visualisation for showing: correlation
frequency of two nominal variables
For showing correlation, a line of best fit (regression line) can be added to a scatterplot, but other visualizations such as a correlation matrix or a heat map are more commonly used.
For showing frequency of two nominal variables, a two-way table or a mosaic plot are better suited, as they can display the count or proportion of cases for each combination of the two nominal variables.
Therefore, Scatterplots are best for showing the relationship between two interval/ratio variables and indirect or negative relationship between two ratio variables.
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Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent error? Use the table below to help answer the question. Percent Error Item Approximate Value Exact value Error Absolute error Ratio Percent error Blankets 38 28 10 10 Start Fraction 10 over 38 End Fraction (100) Start Fraction 10 over 28 End Fraction Start Fraction 10 over 28 Infraction (100) Start Fraction 10 over 38 End Fraction
The expression that would find the percent error is:
(38 - 28) / 38 x 100 = 26%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Sameera predicted that she would sell 38 blankets.
Actual sold 28 blankets.
Now,
Percentage error.
= (38 - 28) / 38 x 100
= 10/38 x 100
= 26%
Thus,
The percentage error is 26%.
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Simon makes 30 cakes. He gives of the cakes to Sali. 5 He gives 10% of the 30 cakes to Jane. What fraction of the 30 cakes does he have left?
Answer:Simon gives 5 cakes to Sali and 30 x 10% = 3 cakes to Jane, so he gives out a total of 5 + 3 = 8 cakes.
Therefore, Simon has 30 - 8 = 22 cakes left.
So, the fraction of the 30 cakes that Simon has left is 22/30
Step-by-step explanation:
-12b when b=4 please please PLSEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEE :((((((((
Answer: When b = 4, the value of -12b is -48.
Step-by-step explanation:
When b = 4, the expression -12b can be evaluated as follows:
-12b = -12 * 4 = -48
So, when b = 4, the value of -12b is -48.
Answer:
Step-by-step explanation:
its just -12 times 4 which is -48
Why is -x < 3 equivalent to x > -3? Explain.
The expression -x < 3 is equivalent to x > -3 because division by a negative value changes the inequality sign
How to determine the reason for the equivalenceFrom the question, we have the following parameters that can be used in our computation:
-x < 3 is equivalent to x > -3
This is so because
-x < 3 is divided by -1 to get x > -3
As a general rule
A division by a negative value changes the inequality sign
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Two similar figures have a side ratio of 4:3. If the perimeter of the smaller figure is 15 units, what is perimeter of the larger figure?
Enter fractions as decimals.
The perimeter of the larger figure is equal to 20 units as the two figures have a side ratio of 4:3.
What is ratioA ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. It can be used to express one quantity as a fraction of the other ones.
We shall represent the perimeter of larger figure with the letter x, so that we express their ratios as fractions and solve for x as follows:
4 : 3 = x : 15
4/3 = x/15
x = (4 × 15)/3 {cross multiplication}
x = 4 × 5
x = 20 units
Therefore, the perimeter of the larger figure is equal to 20 units as the two figures have a side ratio of 4:3.
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60 Points!! ASAP 1 QUESTION NEED HELP WITH PROBABILITY, NO SPAMS OR LINKS!!!
DON'T FORGET THE FORMULA FOR THE AREA IS A=∏ R^2
Answer:
can i see the question then ill solve it?
Step-by-step explanation:
thomas collects dimes and quarters in his change jar. if he has 10 more dimes than quarters, and the total amount of money in the jar is $34.25, find the number of each type of coin in the jar.
The number of each type of coin in the jar is 76 quarters and 83 dimes.
What is meant by Equation?A mathematical statement called an equation demonstrates the equality of two mathematical expressions.An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.Equations can be categorized into one of the following three categories depending on their degree:Linear equationQuadratic equationCubic equationGiven data :
Thomas collects dimes and quarters in his change jar.
If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30.
Let, x be the number of the dimes.
And y be the number of quarters.
If he has 7 more dimes than quarters,
y = x + 7
The total amount of money in the jar is $27.30.
0.25x + 0.10y = 27.30
Substitute the value of y in equation 2
0.25x + 0.10(x + 7) = 27.30
0.25x + 0.10x + 0.7 = 27.30
0.35x = 27.30 - 0.7
0.35x = 26.6
x = 26.6 / 0.35 = 76
Substitute the value of x in equation 1
y = x + 7
y = 76 + 7 = 83
Hence, there are 76 quarters and 83 dimes in the jar.
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what exponent makes the following expression true? 3x=e
The exponent that makes the equation 3^x = e true is x = log(e) / log(3).
A mathematical function called an exponential function is applied in numerous instances in the real world. It is mostly used to calculate investments, model populations, and do other tasks like determining exponential growth or decay.
x = log(e) / log(3) is the exponent that ensures the truth of the equation 3^x = e, where log is the natural logarithm.
In general, if y = logb(x) then x = b^y. The natural logarithm (base e) is a special logarithm that helps us solve exponential equations.
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Part A: Create a fifth-degree polynomial in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to addition of polynomials. Give an example. (5 points)
(10 points)
The fifth-degree polynomial in standard form is [tex]2x^5+ 5x^4+ x^3+ 3x^2+ 9x+16[/tex]. The polynomial is in the standard form because the powers of the terms are given in decreasing order.
[tex]2x^5+ 5x^4+16[/tex] + ([tex]x^5+ 2x^4+11[/tex]) = [tex]3x^5+ 7x^4+17[/tex]
Part A:
The degree of the polynomial is the highest power of the terms of the polynomial.
For example 3x³ + x² + 2x is a polynomial of 3rd degree because the highest power of the terms given is 3.
As we need a polynomial of 5th degree the highest power will be 5.
[tex]2x^5+ 5x^4+ x^3+ 3x^2+ 9x+16[/tex]
The above polynomial is in the standard form because the powers of the terms are given in decreasing order. The first term has the highest power and so on.
Part B:
Suppose we have 2 polynomials
[tex]2x^5+ 5x^4+16[/tex] and [tex]x^5+ 2x^4+11[/tex]
When the closure property of addition is applied
[tex]2x^5+ 5x^4+16[/tex] + ([tex]x^5+ 2x^4+11[/tex])
= [tex]2x^5+ 5x^4+16[/tex] + [tex]x^5+ 2x^4+11[/tex]
= [tex]3x^5+ 7x^4+17[/tex]
The coefficients are changed because of addition.
The sign will not be changed due to the addition and like terms are added to get the answer.
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Tom and his best friend, Edward, are seeking to join a gym. Tom saw on television that
Platinum Gym was having a grand opening in a few months and is considering a
membership there. Platinum Gym charges a one-time registration fee of $60, and
membership is $20 monthly. Tom's best friend, Edward, says he plans to join Super Fit
because it only charges $10 monthly with a one-time registration fee of $150.
(a) Write an expression to represent the membership cost of Platinum Gym for x
months.
(b) Write an expression to represent the membership cost of Super Fit for x months.
(d) Is there a membership period for which Tom and Edward would pay the same
amount? If so, how long would this membership be and how much would it cost? Show
your work (2 points for showing work, 1 points for answer).
The expression to represent the membership cost of Platinum Gym for x
months is y = 60 + 20x.
The expression to represent the membership cost of Super Fit for x months is y = 150 + 10x.
Yes, there is a membership period where they will pay the same amount.
The membership period will be 9 months and the cost is 240 dollars.
How to represent a situation with an equation?Tom and his best friend, Edward, are seeking to join a gym. . Tom saw on television that Platinum Gym was having a grand opening in a few months and is considering a membership there.
Platinum Gym charges a one-time registration fee of $60, and membership is $20 monthly.
Tom's best friend, Edward, says he plans to join Super Fit because it only charges $10 monthly with a one-time registration fee of $150.
a.
The expression to represent the the membership cost of Platinum Gym for x months is as follows:
y = 60 + 20x
where
y = costx = number of monthb.
The expression to represent the membership cost of Super Fit for x months is as follows:
y = 150 + 10x
c.
The membership period for them to pay the same amount can be calculated as follows:
60 + 20x = 150 + 10x
60 - 150 = 10x - 20x
-90 = -10x
x = 90 / 10
x = 9 months
Therefore, the period is 9 months
y = 150 + 10(9)
y = 150 + 90
y = 240 dollars
Therefore, at 9 month they will pay 240 dollars.
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show that x=(y+z) on an angle
10 POINTS!!!!!!!!
The angle x° =( y+z )° using parallel lines theorem
What are parallel lines?parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
When a line is used to cross 2 parallel lines, angles are formed and these angles are equal based on some properties.
To prove that x° = (y+z)°
Bisect angle x° into two equal part x1 and x2
y = x1 ( alternate angles are equal)
z = x2 ( corresponding angles are equal)
x1+x2 = x
since x1 = y and x2 = z
we can therefore say x1+x2 = y+z
y+z = x
x° = (y+z)°
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when you are looking at a graph, you can say that average? why?
The average line shows the average of the data for a particular graph by drawing a line across the chart at the mean value points on the y-axis. By default, the average line label is displayed as a combination of line value and line title.
Definition of GraphicsGraph is a collection of data from several tables that will be presented or also displayed in the form of images, such as squares, circles, tubes, triangles, beams, cones or others. Graphics are also usually also interpreted as a framework or image that will be used to create a visualization object from data in tables with the aim of being able to provide information about a data from the material presenter to the recipient of the material.
In addition, graphs are also often interpreted as a description of the ups and downs of an existing data, or depicted by lines or pictures. The data used to create graphics can be in the form of numbers, letters, symbols, pictures, symbols, sayings, or paintings.
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A circular tablecloth covers a table with a diameter of 5 feet. The tablecloth hangs down an extra 6 inches all around. How much trim is needed to put around the edges of the tablecloth? use 3. 14 for pie and round your answer to the nearest hundredth
The trimming to put around the edges of the tablecloth,
A-At = 4069.44 - 2826 = 1243.44 inches square.
The area of a circle is calculated from the radius and the value of the irrational number.
The problems where the formula for calculating the area of a circle is applied are very diverse in science and engineering.
We know that 1 ft equals 12 inches, therefore 5 ft is 60 inches,
let r be the radius of the table
r=60/2=30 inches.
the area of the table is-
[tex]A_t=\pi r^2\\\\=(30)^2(3.14)\\\\=2826\ inches^2[/tex]
Let R be the radius of the tablecloth,
R=30+6=36
The area of the tablecloth is-
[tex]A=R^2\pi\\\\=4069.44\ inch^2\\[/tex]
The trimming to put around the edges of the tablecloth,
A-At= 4069.44-2826
= 1243.44 inches square.
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Can anyone help me in this question?
Answer:
Step-by-step explanation:
all angles of a triangle equals to 180
80+40= 120
x=180-120
x=60
consider the following. (if an answer does not exist, enter dne.) g(x) = x2 − 3x − 18 x2 − 25 (a) state the domain of the function. (enter your answe
The Domain for the function g(x) = (x² - 3x - 18)/(x² − 4) is , all Real vales except x = 2 and x = -2 .
The Domain of a function is the set of all possible input values (values of x) for which the function is defined and produces a valid output (value of y).
For the function g(x) = (x² - 3x - 18)/(x² − 4), the only restriction on the domain is the denominator (x² − 4) cannot be equal to 0. This is because division by zero is undefined.
So, the domain of the function g(x) is all real numbers except x = ±2, because if we substitute x = 2 or -2 , the denominator becomes 0 and hence undefined .
Therefore , the domain of the function g(x) is {x | x ≠ ±2}.
The given question is incomplete , the complete question is
Consider the following : g(x) = (x² - 3x - 18)/(x² − 4) . state the domain of the function .
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20% of Aussies have blue
eyes. If 4 Aussies in a play
group have blue eyes, how
many Aussies are in the
group?
Answer:
20 Aussies
Step-by-step explanation:
20% times 5 = 100%
4 times 5 = 20 Aussies
So, there are 20 Aussies in a group.
Answer:
20
Step-by-step explanation:
4/20%
4/[tex]\frac{2}{10}[/tex]
4 x [tex]\frac{10}{2}[/tex] = [tex]\frac{40}{2}[/tex] = 20
Alma, a cancer patient is prescribed by her doctor with 13. 00g of intravenous
ascorbic acid (C6H1206) to fight cancer cells. How many moles of ascorbic acid is her
total intake in a month?
Alma's total intake in a month is 0.0738 mol.
What is weight ?
the weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object. Others define weight as a scalar quantity, the magnitude of the gravitational force.
To calculate the number of moles of ascorbic acid, we need to know its molecular weight. The molecular weight of ascorbic acid (C6H12O6) is approximately 176 g/mol.
Therefore, 13.00 g of ascorbic acid is equal to 13.00 g / 176 g/mol = 0.0738 mol.
So, Alma's total intake in a month is 0.0738 mol.
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The total intake of ascorbic acid in her in a month is 0.0738 mol prescribed by her doctor.
A thing's weight is the amount of force that gravity applies to it. In many widely used textbooks, the term "weight" refers to the gravitational force acting on the object. Weight is sometimes referred to as a scalar quantity that gauges the strength of the gravitational pull.
To calculate the number of moles, we need to know the ascorbic acid's molecular weight. The molecular weight of ascorbic acid (C6H12O6) is about 176 g/mol.
This indicates that 13.00 g of ascorbic acid divided by 176 g/mol equals 0.0738 mol of ascorbic acid.
Therefore, Alma's total monthly intake is 0.0738 mol.
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Find values of the constants A, B, C, and D that make the following equation an identity (i.e., true for all values of x). 3x³+4x²-6x/(x²+2x+2)(x²-1) = Ax+B/x²+2x+2 + C/x-1 + D/x+1
In the equation value of A=[tex]\frac{-32}{5} , B= \frac{36}{5} , C= \frac{1}{10} , D= \frac{-7}{2}[/tex].
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the given equation is [tex]\frac{3x^3+4x^2-6x}{x^2+2x+2}= \frac{(Ax+B)}{x^2+2x+2}+\frac {C}{(x-1)}+\frac{D}{x+1}[/tex]
In RHS we multiply to get common denominator. Hence
=> [tex]\frac{3x^3+4x^2-6x}{(x^2+2x+2)(x^2-1)}= \frac{(Ax+B)(x^2-1)+C(x^2+2x+1)(x+1)+D(x-1)(x^2+2x+2)}{(x^2+2x+2)(x^2-1)}[/tex]
Removing the common denominator we get
=> [tex]{3x^3+4x^2-6x}= (Ax+B)(x^2-1)+C(x^2+2x+1)(x+1)+D(x-1)(x^2+2x+2)[/tex]
=> [tex]3x^3+4x^2-6x=Ax^3-Ax+Bx^2-B+Cx^3+Cx^2 +2Cx^2 +2Cx+2Cx+2C+D(x^3 +2x^2 +2x-x ^2 -2x-2)[/tex]
=> [tex]$ 3x^3+4x^2-6x =(A+C+D)x^3+ (B+3C+D)x^2+(-A+2C+2C)x + (-B+2C-2D)[/tex]
We can compare the coefficients to get
3=A+C+D−−−−−−−−1
4=B+3C+D−−−−−−2
−6=−A+4C−−−−−3
0=−B+2C−2D−−−−−−4
Add 2 and 4 then
=> 4 = 5C-D -----------5
Add 1 and 3 then
=> -3 =5C+D--------6
Now subtract 5 from 6 then
=> -7=2D
=> D = -7/2
Now put D=-7/2 into 5 then
=> 4=5c+7/2
=> 1/2=5C
=> C= 1/10
Now put value of C into 3 then
=> -6=-A+ 4×1/10
=> -6-2/5 = -A
=> A = -32/5
Now put C and D into 2 then
=> 4=B+3C+D
=> 4 = B+3/10-7/2
=> 4 = B-32/10
=>4+32/10 = B
=> B= 36/5
Hence in the equation value of A=[tex]\frac{-32}{5} , B= \frac{36}{5} , C= \frac{1}{10} , D= \frac{-7}{2}[/tex].
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Basic Computation: Expected Value and Standard Deviation Consider a binomial experiment with n = 20 trials and p = 0.40. (a) Find the expected value and the standard deviation of the distribution. (b) Interpretation Would it be unusual to obtain fewer than 3 successes? Explain.
0.003 is the expected value and the standard deviation of the distribution.
What does a probability simple definition entail?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Let X shows the random variable corresponding to binomial distribution in the question.
(a)
Expected value of the binomial distribution is
μ = E(X) = ηp = 20 . 040 = 8
and
σ = √np( 1 - p ) = √20 .04.( 1 - 0.40 ) = √4.8 = 2.19
(b)
For a binomial distribution it is unusal to obtain the sucesses the less than μ - 2.5σ and greater than μ + 2.5σ
here r = μ - 2.5σ = 8 - 2.5 . 219 = 2.525
That is for the given binomial distribution it is unusal to obtain the number of successes less than 2.5 or approximately less than 3.
Probability of less than 3 sucesses is
P( X < 3 ) = P( X≤ 2 ) = P(X=0) + P( X = 1 ) + P( X = 2 )
= 2∑k=0 (k²⁰) [tex]( 20 )^{k} ( 1 - 0.4)^{20 - k}[/tex]
= 0.003
It is very low probability.
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what is -444 to the nearest 1000
its 0
because zero to four down to the floor and five to nine climb the vine
PLEASE HELP!!!!! ASAP
Answer: It should be you lost 2.8 million dollars
Step-by-step explanation:
the state of Nevada is the shape of a right trapezoid. The bases measure 205 miles and 511 miles, respectively. The distance between the bases is 309 miles. Find the area of the state.
The area of the trapezoid is A = 1,10,622 miles²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the shorter base of the trapezoid a = 205 miles
The longer base of the trapezoid b = 511 miles
The height of the trapezoid h = 309 miles
Now , the Area of Trapezoid = ( ( a + b ) h ) / 2
Substituting the values in the equation , we get
Area of Trapezoid A = ( ( 205 + 511 ) x 309 ) / 2
On simplifying the equation , we get
Area of Trapezoid A = 358 x 309
Area of Trapezoid A = 1,10,622 miles²
Hence , the area of the state is 1,10,622 miles²
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a vending machine has a total of 41 chocolate bars and bags of pretzels the number of chocolate bars is one less than twice the number of bags of pretzels. how many chocolate bars are in the vending machine
There are 27 chocolate bars and 17 Pretzels in the vending machine
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Let x represent the number of chocolate bars and y represent the number of pretzels
The vending machine has a total of 41 chocolate bars and bags of pretzels, hence:
x + y = 41 (1)
The number of chocolate bars is one less than twice the number of bags of pretzels, hence:
x = 2y - 1
x - 2y = -1 (2)
From both equations:
x = 27, y = 14
There are 27 chocolate bars in the vending machine
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two airplanes take off from the airport at the same times heading in opposite directions. after 2 hours the planes are 1500 miles apart. if the speeds of the planes differ by 50 mph, find the speed of the slower plane
Speed of the slower plane = 350 miles/hour
What is relative speed?Relative speed is the speed of a moving body in relation to another. When two bodies are moving in the same direction, their difference is used to calculate their relative speed. When two bodies are moving in opposite directions, however, the relative speed is derived by summing their speeds.
Given,
Two planes heading opposite directions
After 2 hours the planes are 1500 miles apart.
Speeds of the planes differ by 50 mph
Let the speed of slower plane be x
then speed of faster plane = x + 50
Since, plane are moving in opposite directions
Relative speed = x + x + 50
Speed = distance /time
x + x + 50 = 1500/2
2x + 50 = 750
2x = 750 - 50
x = 700/2
x = 350 miles/hour
Hence, 350 miles/hour is the speed of slower plane.
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find the slope-intercept equation of the line that has the given characteristics. slope 9 and y-intercept (0,3)
The slope-intercept equation of the line is y= 9x + 3
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Slope-intercept form of an equation: y=mx+b, where m is the slope (in this case, 9) and b is the y-intercept (in this case, the 3 from the point 0, 3)
y= 9x + 3 ( Plug in 9 for the m (slope) and 3 for the b (y-intercept))
Thus, the slope-intercept equation of the line is y= 9x + 3
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an urn contains n balls numbered 1, 2, . . . , n. we remove k balls at random (without replace- ment) and add up the numbers of all remaining balls. find the mean and variance of the total sum.
The mean of the total sum of the balls remaining is (n-k)(n+1)/2 and the variance of the total sum of the balls remaining is k(n-k)(n+1)/6
The mean of the total sum of the balls remaining in the urn is calculated by finding the average of each number of the remaining balls and summing them up. To find the variance, we use the formula for the variance of a discrete uniform distribution, which states that the variance is equal to the range of the distribution squared divided by 12. In this case, the range is n-k, since we have removed k balls, and the number of remaining balls will range from 1 to n-k.
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Curved urface area of a cone i 308 cm2 and it lant height i 14 cm. Find the volume
Curved surface area of a cone is 308 cm² and it slant height is 14 cm. So the cone volume is 343√3/3 π cm³.
Determine the cone volumeThese are the specified parameters:
Curved surface area of a cone (A) = 308 cm²
Slant height (s) = 14 cm
The length of the radius of the base of the cone
A = π r s
308 = 22/7 × r × 14
308 = 44 r
r = 308/44
r = 7 cm
The cone height
h² = s² - r²
= 14² - 7²
= 196 - 49
= 147
h = √147
h = 7√3 cm
Cone volume
V = 1/3 π r² h
= 1/3 × π × 7 × 7 × 7√3 cm³
= 343√3/3 π cm³
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In a city in Ohio, the sales tax rate is 7.25%.
Complete the table to show the sales tax and the total price including tax for each item. Type your answers into the boxes below.
The table for the complete data is,
Item price before tax sale tax price including tax
pillow $8 $0.58 $8.58
blanket $22 $1.59 $23.59
trash can $14.50 $1.051 $15.551
What is sales tax?The mandatory tax imposed on the whole value of the items sold is known as the sales tax. Depending on the type of products sold, different sales tax rates apply.
The final amount of sales tax is added to the sale price of the products in the invoice because it is a charge made to the consumer.
Given the sales tax rate is 7.25%.
sales tax rate = 0.0725
to find sales tax and price including tax,
sales tax = price before tax * sales tax rate
and price including tax = sales tax + price before tax
1: price before tax = $8.00
sales tax = 8*0.0725
sales tax = $0.58
price including tax = 8.00 + .58 = $8.58
2: price before tax = $22.00
sales tax = 22*0.0725
sales tax = $1.59
price including tax = 22.00 + 1.595 = $23.595
3: price before tax = $14.50
sales tax = 14.50*0.0725
sales tax = $1.051
price including tax = 14.50 + 1.051 = $15.551
Hence the table is,
Item price before tax sale tax price including tax
pillow $8 $0.58 $8.58
blanket $22 $1.59 $23.59
trash can $14.50 $1.051 $15.551
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The complete question is in image attached,
Determine whether the given statements are equivalent and why.a) If she attends the meeting, she will become the secretary.b) If she does not become the secretary, then she did not attend the meeting.
No, the statements a) If she attends the meeting, she will become the secretary b) If she does not become the secretary, then she did not attend the meeting are not equivalent.
The statement "a" says that if she attends the meeting, then she will become the secretary. This is a sufficient condition for her to become the secretary.
The statement "b" says that if she does not become the secretary, then she did not attend the meeting. This is a necessary condition for her not attending the meeting.
So, while the statements are related, they don't represent the same relationship between the events of attending the meeting and becoming the secretary.
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