Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
So, candidate A has a projection of winning 53% votes.
A sample of 2436 voters is pulled, then:
2436/100 × 53 = 1,291 votesCan candidate A be guaranteed 95% votes which are:
2436/100 × 95 = 2,314 votesDifference: 2,314 - 1,291 = 1,023
Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
Know more about percentages here:
https://brainly.com/question/9553743
#SPJ13
For the following relation, complete the table of values and sketch the graph.
y=3x^2-10
x. y?
-3.
-2.
-1.
0
1
2
3
The table of values for the given equation is presented below:
x y
-3 17
-2 2
-1 -7
0 -10
1 -7
2 2
3 17
Quadratic FunctionThe Standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: [tex]x=\frac{-b \±\sqrt{\Delta} }{2a}[/tex].
The given equation is a quadratic function because have a degree equal to 2. Then, when you plot the graph, you obtain a parabola.
First, you should replace the given values for x in the equation y=3x²-10
x y
-3 y=3*(-3)²-10= 3*9-10=27-10=17
-2 y=3*(-2)²-10= 3*4-10=12-10=2
-1 y=3*(-1)²-10= 3*1-10=3-10= -7
0 y=3*(0)²-10= 3*0-10=-10= -10
1 y=3*(1)²-10= 3*1-10=3-10= -7
2 y=3*(2)²-10= 3*4-10=12-10= 2
3 y=3*(3)²-10= 3*3-10=27-10= 17
Now, you have the points to draw the graph, show the attached image.
Read more about the quadratic function here:
brainly.com/question/1497716#
#SPJ1
The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?
Answer:
y=8X
Explanation:
The ratio 13 to X = 13:X
The ratio 104 to y = 104:y
If they are equivalent, we have that:
[tex]13\colon X=104\colon y[/tex]We write the ratios in fraction form.
[tex]\frac{13}{X}=\frac{104}{y}[/tex]We then make y the subject of the equation.
[tex]\begin{gathered} 13y=104X \\ y=\frac{104X}{13} \end{gathered}[/tex]We can simplify further to get:
[tex]\begin{gathered} y=\frac{13\times8X}{13} \\ y=8X \end{gathered}[/tex]This is the equation that represents y in terms of X.
Sheila can wash her car in 15 minutes. It takes Bob twice as long to wash the same
car. How long does it take them to wash the car working together
Both Sheila and Bob together can wash the car in 10 minutes
Calculating work :
The formulas to find work and time is given by
Time Taken = 1 / Rate of Work
Rate of Work = 1 / Time Taken
If a work can be done in x number of days, then the work can be done in one day = 1/x
Total Work done = Number of Days × Efficiency ( of the person or machine )
Given that,
Sheila can wash her car in 15 minutes
Let us consider washing the car is 1 unit of work
Then the work can done by Sheila in 1 minute = 1/15
Bob take twice as long as Sheila to wash the same
Bob can wash the same car in 30 minutes
Then the work can done by Bob in 1 minute = 1/30
From above calculation,
The work can be done by Sheila and Bob = (1/15 + 1/30)
= (2+1) /30 = 3/30 = 1/10
So the efficiency of Both Sheila and Bob per minute = 1/10
Let Both can complete the work in x minutes
As we know Total Work done = time × Efficiency
⇒ 1 = x × 1/10
⇒ x = 1 × 10
⇒ x = 10 minutes
Therefore,
Both Sheila and Bob together can wash the car in 10 minutes
Learn more about Work, time problems at
https://brainly.com/question/28019996
Factor the monomial 16x²y
The factors of the given monomial are given below
What is a monomial?
A monomial is, broadly speaking, a polynomial with just one term in mathematics. There are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variable x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer. If many variables, say x,y,z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a,b,c non-negative integers.
The factors of the monomial 16x²y are 2.2.2.2.x.x.y
To know more about a monomial, click on the link
https://brainly.com/question/12828972
#SPJ9
The factors of the monomial are given below
What is a monomial?
A monomial is, broadly speaking, a polynomial with just one term in mathematics. there are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variables x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer, if many variables, say x, y, z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a, b, c non-negative integers.
The factors of the monomial 16x²y are 2.2.2.2.x.x.y
To know more about the monomial, click on the link
https://brainly.com/question/2279092
#SPJ9
Find the mean and population standar deviation for each data set.
Hours slept
Mean of given set is 7.8
Define mean.The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." It is a statistical idea with significant financial implications.
Given,
Mean:
Formula:
Sum = 118.25
Total = 15
[tex]\frac{sum}{total}[/tex]
[tex]\frac{6.75 + 6.5 + 7 +8 +7+8.75+7.25+5.75+9.25+7.75+7+7.5+8+7.5+8+6.25}{15}[/tex]
= [tex]\frac{118.25}{15}[/tex]
= 7.8
To learn more about mean, visit:
https://brainly.com/question/10528201
#SPJ13
find the volume of a cone with a height of 100 feet and a radius of its base 100 feet use 3.14 for pi
The volume of a cone is given as follows;
[tex]\begin{gathered} \text{Vol}=\frac{1}{3}(\pi\times r^2\times h) \\ \text{The radius of the base r=100, h=100} \\ \text{Vol}=\frac{1}{3}\times3.14\times100^2\times100 \\ \text{Vol}=\frac{3.14\times10000\times100}{3} \\ \text{Vol}=1046666.67 \\ \text{Vol}\approx1046666.67ft^3\text{ (rounded to the nearest hundredth)} \end{gathered}[/tex]The volume of the cone with the given dimensions is
1,046,666.67 cubic feet (rounded to the nearest hundredth)
Without approximation, the answer would be,
1,046,666.6666 cubic feet
I need to find the value of x in this figure.
Please explain how to do so.
Answer: 2x^2
Step-by-step explanation:
(x+5)
x (2x - 9)
-----------------
X times 2x = 2x^2
What is the equation to this graph? pls help
Answer is y=1/2x+2 because the slope is 1/2 and the starting point is +2
find the derivative:f(x)= -3/ x^4
Given the function f(x), we can write it like this:
[tex]\begin{gathered} f(x)=-\frac{3}{x^4} \\ \Rightarrow f(x)=-3x^{-4} \end{gathered}[/tex]Using the formula for polynomial derivatives, we get:
[tex]\begin{gathered} f(x)=-3x^{-4} \\ \Rightarrow f^{\prime}(x)=-3\cdot(-4)x^{-4-1}=12x^{-5} \\ f(x)=\frac{12}{x^5} \end{gathered}[/tex]Therefore, the derivative f'(x) is 12/x^5
Alexis can run 5/2 miles in 1/4hrs. What is her speed in miles per hour?
Solution
We are given
Distance = 5/2 miles
Time = 1/4 hours
Answer:
The speed would [tex]10~\text{mph}[/tex].
Step-by-step explanation:
Step 1: State the formulas required
The formula for speed is:
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
Step 2: Substitute the values into the formula
The distance is [tex]\frac{5}{2}~\text{miles}[/tex] and the time is [tex]\frac{1}{4}~\text{hours}[/tex].
Substitute these values into the formula:
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\[/tex]
Step 3: Calculate
[tex]\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\div {\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\times 4\\\\\text{Speed}={\frac{20}{2}}\\\\\text{Speed}=10[/tex]
So, the speed is [tex]10~\text{miles per hour}[/tex] or [tex]10~\text{mph}[/tex].
solve the systems using equal values.y= 2xy= -3x + 5
I need to know what system of inequalities is graphed below
SOLUTION:
For inequalities, the solution to is usually where the two regions meet.
The graphs here are:
[tex]\begin{gathered} x-3y\leq6\text{ (thick lines)} \\ \text{Here, checks the graph testing points (3,-1) and (0,-2)} \\ 2x\text{ }+\text{ y }>2.\text{ (broken lines)} \\ \text{Here, the checks the graph testing points (}0,2)\text{ and (1,0)} \end{gathered}[/tex]Final answer:
The final answer here is Option (B)
Three t-shirts for $10. find the unit rate
Answer:
Step-by-step explanation:I don’t know
if a number decreases by 8, the result is -21.What is the number?
Answer: it would be -13
Step-by-step explanation: -13-8=-21
Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?
A = {KL}
A = {KJ, KL}
A = {KL, LK}
A = {KJ, KL, LJ}
Answer:
A = {KL}
Step-by-step explanation:
The subset of the sample space that represents the complement of the event in which Joe plays in the first match is A = {JL, KL}
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The sample space of this experiment consists of all possible ways of choosing two names from a group of three.
Since the order in which the names are chosen does not matter, the size of the sample space is given by the number of combinations of 3 things taken 2 at a time, which is 3.
The three possible outcomes are: {JK, JL, KL}.
If we want to find the complement of the event in which Joe plays in the first match, we need to find the outcomes in which Joe does not play in the first match.
There are two such outcomes: JL and KL.
Therefore, the subset of the sample space that represents the complement of the event in which Joe plays in the first match is A = {JL, KL}
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
write each percent as a fraction in simplest form. 20%
Answer:
1/5
Step-by-step explanation:
"percent" means "per hundred"
(because cent means hundred like years in a century or cents in a dollar)
anyway
20% means
20 per 100
write it as 20/100
Now simplify it.
20/100
= 2/10
= 1/5
Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes. If she continues at the same rate, how many hours will it take for Selena to make 264 more pancakes?
Selena needs 4 more hours to prepare 264 more pancakes.
What is unitary method?Unitary method is a process of finding the value of a single unit, and use this value to find the value of the required number of units.
Given is Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes.
We have -
The rate at which Selena is making pancakes = 132 pancakes in 2 hours.
Number of pancakes left to be made = 264
Now, in 2 hrs she makes 132 pancakes
Then, in 1 hr she will make (132/2) or 66 pancakes.
Now, she makes 66 pancakes in 1 hour.
So, she will make 1 pancake in (1/66) hours
Therefore, she will make 264 pancakes in (264/66) or 4 hours.
Therefore, she will need 4 more hours to prepare 264 more pancakes.
To solve more questions on unitary method , visit the link below-
https://brainly.com/question/18188026
#SPJ1
33% of millennials rely on blogs before making a purchase and eight
out of 10 millennials never buy anything without reading a review first.In a sample size of 75 Millennials, how many people use blogs to make a purchase?In a sample size of 75 Millennials, how many people never buy anything without reading a
review first?
24 millennials will use blogs to make a purchase and 60 millennials will never buy anything without reading a review first.
Here, we are given that 33% of millennials rely on blogs before making a purchase and eight out of 10 millennials never buy anything without reading a review first.
a. If there is a sample of 75 Millennials, out of these 33% will use blogs to make a purchase.
Thus,
33% of 75
= 33/100 × 75
= 33/4 × 3
= 99/4
= 24.75
Since, the number of millennials cannot be a decimal number, we approximate it to the lowest integer, that is, 24.
Thus, 24 millennials will use blogs to make a purchase.
b. Now, if there is a sample of 75 Millennials, out of these 8 out of 10 will never buy anything without reading a review first.
8 out of 10 in percentage terms will be-
8/10 × 100
= 80%
Thus,
80% of 75
= 80/100 × 75
= 80/4 × 3
= 20 × 3
= 60
Thus, 60 millennials will never buy anything without reading a
review first.
Learn more about percentages here-
https://brainly.com/question/843074
#SPJ1
Percy has $200 in a savings account that earns annually.
How much will he have in total in 1 year?
Use the factor theorem to find all real zeros and one factor.
f(x) = 2x³-9x² + 13x - 6; x - 1
Answer:
x = {1, 1.5, 2}Step-by-step explanation:
GivenPolynomial f(x) = 2x³ - 9x² + 13x - 6, One of the factors x - 1.Factorize the polynomial using the given details.
Since one of the factors known, try to factor it out and futher:
2x³ - 9x² + 13x - 6 = 2x³ - 2x² - 7x² + 7x + 6x - 6 = 2x²(x - 1) - 7x(x - 1) + 6(x - 1) = (x - 1)(2x² - 7x + 6) = (x - 1)(2x² - 3x - 4x + 6) = (x - 1)[x(2x - 3) - 2(2x - 3)] =(x - 1)(x - 2)(2x - 3)Find its zero's:
x - 1 = 0 or x - 2 = 0 or 2x - 3 = 0x = 1 or x = 2 or x = 1.5Answer:
[tex]x=1, \quad x=\dfrac{3}{2}, \quad x=2[/tex]
Step-by-step explanation:
Factor Theorem
If f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).
If the coefficients in a polynomial add up to 0, then (x - 1) is a factor.
Given polynomial function:
[tex]f(x)=2x^3-9x^2+13x-6[/tex]
Sum the coefficients:
[tex]\implies 2-9+13-6=0[/tex]
As the sum of the coefficients is zero, (x - 1) is a factor.
Therefore:
[tex]\implies f(x)=(x-1)(ax^2+bx+c)[/tex]
Expand the brackets:
[tex]\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c[/tex]
[tex]\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c[/tex]
Compare the coefficients with the given polynomial.
As the coefficient of the leading term of the polynomial is 2:
[tex]\implies a=2[/tex]
As the coefficient of the term in x² is -9:
[tex]\implies b-a=-9[/tex]
[tex]\implies b-2=-9[/tex]
[tex]\implies b=-7[/tex]
As the constant of the given polynomial is -6:
[tex]\implies c=6[/tex]
Substitute the found values of a, b and c into the factored form of the polynomial:
[tex]\implies f(x)=(x-1)(2x^2-7x+6)[/tex]
Factor the quadratic:
[tex]\implies 2x^2-7x+6[/tex]
[tex]\implies 2x^2-4x-3x+6[/tex]
[tex]\implies 2x(x-2)-3(x-2)[/tex]
[tex]\implies (2x-3)(x-2)[/tex]
Therefore, the fully factored polynomial is:
[tex]\implies f(x)=(x-1)(2x-3)(x-2)[/tex]
To find the zeros, set the function to zero:
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-1)(2x-3)(x-2)=0[/tex]
Apply the zero-product property:
[tex]\implies x-1=0 \implies x=1[/tex]
[tex]\implies 2x-3=0 \implies x=\dfrac{3}{2}[/tex]
[tex]\implies x-2=0 \implies x=2[/tex]
Therefore, the real zeros of the given polynomial are 1, ³/₂ and 2.
Please help me with letter e
Height of the triangle is = 14m
Given,
Base of the triangle is 8m
Area of the triangle is = 56m^2
To find the height of the triangle.
Now, According to the question:
We know that
Area of the triangle is = 1/2 x b x h
where, b = base
h = height
Plug all the values of base and area in above formula:
56m^2 = 1/2 x 8m x h
56 x 2 / 8 = h
h = 14m
Hence, Height of the triangle is = 14m
Learn more about Area of Triangle at:
https://brainly.com/question/19305981
#SPJ1
Please help CORRET ANWSERS ONLY!
Answer:uhh
Step-by-step explanation:
Please solve with an explanation
Answer:
10.8
Step-by-step explanation:
Hello!
Once, graphed, a right triangle forms, with PQ as the hypotenuse. The other two lengths are 6 and 9.
We can use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]
a and b are lengthsc is the hypotenuseSolve for PQ[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 9^2 = PQ^2[/tex][tex]36 + 81 = PQ^2[/tex][tex]117 = PQ^2[/tex][tex]\sqrt117 = PQ\\[/tex]10.8 = PQThe length of PQ is 10.8.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
The identified scale factor of the triangles is 71 / 37.
How to find the scale factor of similar triangles?Scale factor is the ratio of corresponding sides on two similar figures.
The triangles are similar. Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Therefore, let's identify the scale factor of the triangles.
The triangle on the right is a scale copy of the triangle on the left.
Hence,
scale factor = 71 / 37 = 71 / 37
Therefore, the scaled factor of the triangles in fraction form is 71 / 37
learn more on triangle here: https://brainly.com/question/28752536
#SPJ1
For the cented functions g(x) = x + 3 and h(x) = (x-4, find the composition gºh and specify its domain using interval notation,
Answer
Part A
(g o h)(x) = x - 1
Part B
Domain of (g o h) = (-∞, ∞)
Explanation
Part A
We are given that
g(x) = x² + 3
h(x) = √(x - 4)
We are then asked to find (g o h)(x)
To do that, we need to note that (g o h)(x) means we write g(x), but instead of x, we write h(x). That is,
(g o h)(x)
= g(h(x))
= [h(x)]² + 3
= [√(x - 4)]² + 3
= x - 4 + 3
= x - 1
Part B
To find the domain
The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists.
And for (g o h)(x) = x - 1, we know there will be an answer for all real number values of x. Hence,
Domain = (-∞, ∞)
Hope this Helps!!!
Riangle QRS has vertices Q(8, −4), R(−1, 2), and S(3, 7). What are the coordinates of vertex Q after the triangle is reflected across the y-axi
The triangle QRS with points Q(8, -4), R(-1, 2), and S(3, 7). After the triangle is reflected across Y axis, then the coordinates of vertex Q are (-8, -4).
How to determine reflection coordinates?
These are the specified parameters:
Q(8, -4), R(-1, 2), and S(3, 7)
Determine the reflected of Q(8, -4) across Y-axis
A(a, b) ⇔ A' (-a, b)
Q(8, -4) ⇔ Q' (-8, -4)
Determine the reflected of R(-1, 2) across Y-axis
A(a, b) ⇔ A' (-a, b)
R(-1, 2) ⇔ R' (1, 2)
Determine the reflected of S(3, 7) across Y-axis
A(a, b) ⇔ A' (-a, b)
S(3, 7) ⇔ S' (-3, 7)
The coordinates of vertex Q after the triangle is reflected across the y-axi are (-8, -4).
Learn more about other the reflection of a point here:
https://brainly.com/question/26642069
#SPJ4
Easy math, 50 points.
Answer:
2 1/2 (D)
Step-by-step explanation:
1 8/12 + 5/6
you have to make the denominator on the right equal to the denominator on the left. in order to do that, multiple the numerator and denominator on the left my two.
5/6 become 10/12.
1 8/12 + 10/12
1 18/12
Simplify,
2 6/12 (1/2)
Answer:
[tex]1\frac{8}{12}+\frac{5}{6}=2\frac{1}{2}[/tex]
the vertex of the function shown below is located at?
Given the graph of the parabola
AS shown in the figure
The coordinate of the vertex is the point (2.5, 2.25)
so, the answer will be:
the vertex of the function shown below is located at (2.5, 2.25)
I figured x equals a specific number in every single question involving something like this. X is on all sides, there's no given number.
The angle x of the triangle is 60 degrees.
How to find the angles in a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is equals to 180 degrees.
A triangle can be classified base on the sides and angles. For example equilateral triangle, scalene triangle and isosceles triangle.
Therefore, the angle x of the triangle can be found as follows:
x + x + x = 180
3x = 180°
divide both sides of the equation by 3
3x / 3 = 180 / 3
x = 180 / 3
x = 60 degrees.
learn more on triangle here: https://brainly.com/question/25950519
#SPJ1
Answer:
the person below or above me is the answer. Yeah
Step-by-step explanation:
how do I right this in numeral formsix thousand, five hundred eighty-two ten-thousandths