Answer:
a
Step-by-step explanation:
this property states a line or shape is always equal to itself
Find the quadractic function to model the values in the table.
Answer: y=3x^2+3x-3
(the first option)
Answer:
3y²+3x-3
Step-by-step explanation:
the first choice
the iq scores of students at the local college. answer keyboard shortcuts are these data qualitative or quantitative? are these data discrete or continuous? what is the highest level of measurement the data possesses?
By understanding some statistics concepts, it can be concluded that these data are Quantitative and Discrete, and the highest level of measurement the data possesses is Interval.
Qualitative data is information that is descriptive and cannot be measured by numbers.
Quantitative data is a collection of information that can be measured, calculated, and compared on a numerical scale.
Discrete data is a type of data that has clear spaces and points between values. It contains distinct or discrete values.
Continuous data is data that falls in a continuous sequence. It includes any value that falls within a range.
Nominal data is data given to objects or categories that do not describe the position of the object, but only labels/codes.
Ordinal data is data whose numbering objects or categories are arranged according to magnitude, from the lowest level to the highest or vice versa, with the distance/range not having to be the same.
Interval data is data where objects/categories can be sorted based on an attribute that provides information about the interval between each object/category the same.
Ratio data is data that is the same distance and has an absolute zero value.
Thus, based on these definitions, data about the IQ scores of students at the local college are Quantitative and Discrete, and the highest level of measurement the data possesses is Interval.
To learn more about statistics concept, click here: https://brainly.com/question/14593035
#SPJ4
Aaron is designing a party game in which he needs exactly 24 possible outcomes. which sets of actions can he use to have a statistically fair game?
If Aaron is designing a party game in which he needs exactly 24 possible outcomes, then he can use the following sets of actions to have a statistically fair game from the Statistics point of view,
Toss a coin twice, and then then roll a 6-sided number cube.
How can he play a statistically fair game to get exactly 24 outcomes?
The game has 24 alternative outcomes, as far as we know. The next step is to identify a series of activities that produces 24 distinct outcomes with equal probabilities.
The first of the alternatives is the only one with a sample space of 24 elements.
Flip two coins, then roll a D6.
The results of each coin toss are 2: (tails and heads).
There are 6 outcomes for the D6: (1, 2, 3, 4, 5, 6)
The combined outcomes of the two throws and rolling the number are then given by the product between the numbers of outcomes for each individual part, as solved below:
C = 2 × 2 × 6
C = 24
Thus, by tossing a coin twice, and then then rolling a 6-sided number cube, Aron can play a statistically fair game if h needs exactly 24 outcomes.
Learn more about outcomes here:
https://brainly.com/question/9222927
#SPJ1
Tiffany has a goal to complete a triathlon. The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run. In training, Tiffany can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph. Estimate how long it will take her to complete the triathlon.
Answer:
3 hours
Step-by-step explanation:
Time = distance / rate
.93 miles / 2.2 mile/hr + 24.8 mile / 18.2 m/hr + 6.2 mile / 5.1 mile/hr = 3.00 hr
Finally, the total time in which Tiffany will complete the race will be 3 hours.
What is speed?speed is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
Given that The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run.
In training, she can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph.
We know that Time = distance / rate
So, total time= 0.93 miles / 2.2 mile/hr + 24.8 mile / 18.2 m/hr + 6.2 mile / 5.1 mile/hr
total time = 3.00 hr
Learn more about speed:
brainly.com/question/15273551
#SPJ2
Is it A or C? I'm sorry, I'm not really smart-
Answer:
A i think im 98% sure
Step-by-step explanation:
Write an equivalent expression -3(6 + 7g)
Answer:
\( \sf \: -21g - 18 \)
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ -3(6 + 7g)
Let's simplify the expression,
→ -3(6 + 7g)
→ -3(6) - 3(7g)
→ -18 - 21g
→ -21g - 18
Hence, the answer is -21g - 18.
Write an equivalent expression -3(6 + 7g).
Answer:--21g - 18
Explanation:-• Rearrange the terms,
-3(7g + 6)
• Simplify,
=> -3(7g + 6)
=> -21g - 18
Find the period, the equation of the midline, and amplitude of the function y = 6 sin 4x.
The period of the function is 1.57 s.
The amplitude of the function is 6.
The equation of the midline, y = 6 sin 4x + 0.
What is the period and amplitude of the sine function?
The general form of a sinusoidal function is y = A sin(Bx - C) + D,
where:
A is the amplitudeB determines the period, as T = 2π/BC is the phase shift (how much the graph is shifted horizontally)D is the vertical shift (how much the graph is shifted vertically)For the given function y = 6 sin 4x, we can see that:
A = 6 (the amplitude is the absolute value of the coefficient of the sine function)
B = 4 (the coefficient of x inside the sine function determines the period)
C = 0 (there is no horizontal shift)
D = 0 (there is no vertical shift, so the midline is the x-axis)
Therefore, the period T is given by:
T = 2π/B = 2π/4 = π/2 = 1.57 s
The midline is the x-axis, so its equation is y = 0.
The amplitude is A = 6.
Therefore, we can write the equation of the function in the general form as:
y = 6 sin 4x + 0
or
y = 6 sin(4x)
Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.
Learn more about equation of sine function here: https://brainly.com/question/30722835
#SPJ1
12pi/5 divided by 2pi
The Simplified form of (12π/5) ÷ (2π) is 6/5.
The expression (12π/5) ÷ (2π), we can divide the numerator (12π/5) by the denominator (2π). This can be done by multiplying the numerator by the reciprocal of the denominator.
Reciprocal of 2π is 1/(2π), so the expression can be written as:
(12π/5) * (1/(2π))
Now, let's simplify:
(12π/5) * (1/(2π)) = (12π/5) * (1/2π)
π cancels out in the numerator and denominator:
= (12/5) * (1/2)
= 12/10
= 6/5
Therefore, the simplified form of (12π/5) ÷ (2π) is 6/5.
In conclusion, the expression (12π/5) ÷ (2π) simplifies to 6/5.
To know more about Simplified form.
https://brainly.com/question/29980546
#SPJ11
Does a parabola have an inverse?
An inverse does not exist for a parabola.
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.
It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
An inverse does not exist for a parabola.
One definition of a parabola includes a line and a point (the focus) (the directrix).
The directrix is not the main focus.
The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.
A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.
Therefore, an inverse does not exist for a parabola.
Know more about a parabola here:
https://brainly.com/question/64712
#SPJ4
solve the system using elimination 2x+2y=62x-2y=6
Given the system of equations:
\(\begin{gathered} 2x+2y=6 \\ 2x-2y=6 \end{gathered}\)we can solve it using elimination by directly adding both equations to get the following:
\(\begin{gathered} 2x+2y=6 \\ 2x-2y=6 \\ ---------- \\ 4x=12 \\ \Rightarrow x=\frac{12}{4}=3 \\ x=3 \end{gathered}\)now that we have that x=3, we can find y using this value on any of the two equations:
\(\begin{gathered} 2x+2y=6 \\ x=3 \\ \Rightarrow2(3)+2y=6 \\ \Rightarrow6+2y=6 \\ \Rightarrow2y=6-6=0 \\ \Rightarrow2y=0 \\ y=0 \end{gathered}\)therefore, the solution of the system is (3,0)
(b) find the dimensions of the rectangle with perimeter 100 inches that has maximum area, and then find the maximum area.
The rectangle with a perimeter of 100 inches that has maximum area has dimensions of 25 inches by 25 inches, resulting in a maximum area of 625 square inches.
This is achieved by dividing the perimeter equally into four sides, creating a square shape. To find the dimensions of the rectangle with maximum area, we consider the perimeter of the rectangle, which is given as 100 inches. Let's assume the length of the rectangle is L inches, and the width is W inches. The perimeter of a rectangle is given by the equation P = 2L + 2W. Since we are given that the perimeter is 100 inches, we have 2L + 2W = 100. Simplifying this equation, we get L + W = 50. To find the dimensions that maximize the area, we need to find the values of L and W that satisfy this equation and result in the largest possible area. One way to maximize the area is by making the rectangle a square, where all sides are equal. In this case, L = W. Substituting this into the equation L + W = 50, we get 2L = 50, which gives L = 25. Therefore, the dimensions of the rectangle with maximum area are 25 inches by 25 inches. The area of this rectangle is calculated by multiplying the length and width, giving us 25 * 25 = 625 square inches. Hence, the maximum area for a rectangle with a perimeter of 100 inches is 625 square inches.
learn more about dimensions here: brainly.com/question/31106945
#SPJ11
solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
Learn more about equation
brainly.com/question/29657983
#SPJ11
HELP!
i’ll give brainiest!!
Answer:
so how do i get brain???? 500(protected)
Step-by-step explanation:
MOLDY FRIJOLES!!!!!what is x+y=10
Answer:
lol......
.
..
............
Determine if the table is proportional or nonproportional
The answer is nonproportional.
Which of the following is the valid classification of the system given below?
$ 7x + 2y = 24
| 2x + 1 = y
Answer:
Step-by-step explanation:
The system of equation given is a simultaneous equation
7x + 2y = 24 ...... 1
2x + 1 = y ......... 2
Rearrange
7x + 2y = 24 .... *1
| 2x - y = -1 ..... * 2
Use elimination method
7x + 2y = 24
4x - 2y = -2
add
7x+4x = 24-2
11x = 22
x = 22/11
x = 2
Substitute x = 2 into 2
2x+1 = y
y 2(2)+1
y = 4+1
y = 5
Hence x = 2, y = 5
The system of equation is a simultaneous equation
Use right triangle trigonometry and the Pythagorean theorem to solve for all angles and sides of triangle DEF. Please help!
To solve triangle DEF, use Pythagorean theorem and right triangle trigonometry: find third side using \($c^2 = a^2 + b^2$\), and find all angles using \($\tan C = \frac{b}{a}$\), \($\sin C = \frac{b}{c}$\), \($\cos C = \frac{a}{c}$\).
To solve for all angles and sides of triangle DEF using right triangle trigonometry and the Pythagorean theorem, we need to know the lengths of all sides of the triangle. Let's assume that we have the lengths of two sides of the triangle and call them a and b.
If we know a and b, we can use the Pythagorean theorem to find the length of the third side c:
\($c^2 = a^2 + b^2$\)
Once we have the length of all sides, we can use right triangle trigonometry to find all angles. For example, if we have the lengths of sides a and b, we can use the tangent function to find angle C:
\($\tan C = \frac{b}{a}$\)
Similarly, we can use the sine and cosine functions to find the other angles:
\($\sin C = \frac{b}{c}$\)
\($\cos C = \frac{a}{c}$\)
So, if we know two sides of the triangle, we can use the Pythagorean theorem to find the third side and then use right triangle trigonometry to find all angles.
Learn more about Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ4
say that z is a continuous random variable with a mean of 15 and a standard deviation of 7. write this distribution out in formal notation.
The formal notation for the distribution of the continuous random variable Z in this case is Z ~ N(15, 49).
In formal notation, the distribution of the continuous random variable Z can be written as Z ~ N(μ, σ^2), where N represents the normal distribution, μ represents the mean, and σ^2 represents the variance.
Given that Z has a mean of 15 and a standard deviation of 7, we know that μ = 15 and σ = 7. The variance can be calculated as σ^2 = 49.
Thus, the formal notation for the distribution of the continuous random variable Z in this case is Z ~ N(15, 49).
This means that the values of Z are normally distributed around the mean of 15, with the spread of the distribution determined by the standard deviation of 7. This notation is commonly used in probability theory and statistics to represent the properties of a given random variable.
for such more question on distribution
https://brainly.com/question/1084095
#SPJ11
The distribution of the continuous random variable z with a mean of 15 and a standard deviation of 7 can be written as:
z ~ N(15, 49)
where N represents the normal distribution, 15 represents the mean, and 49 represents the variance (which is equal to the square of the standard deviation).
In this case, the mean (µ) is 15 and the standard deviation (σ) is 7. Therefore, the formal notation for this distribution is:
z ∼ N(µ, σ²)
where N represents a normal distribution. Plugging in the given values, we get:
z ∼ N(15, 7²)
So the distribution can be written as:
z ∼ N(15, 49)
Learn more about distribution here : brainly.com/question/10670417
#SPJ11
"Talk all day.........................................."
Answer:
What? Oh well free points tyy
Step-by-step explanation:
Give the equation of a circle with a diameter that has endpoints (-7, 7) and (3, 6).
Answer:
(x + 2)^2 + (y - 6.5)^2 = 25.25
Step-by-step explanation:
We can the equation of the circle in standard form, whose general equation is:
\((x-h)^2+(y-k)^2=r^2\), where
(h, k) are the coordinates of the circle's center, and r is the radiusStep 1: We know that the diameter is simply 2 * the radius. Thus, we can find the radius by first finding the length of the diameter. To do this, we'll need the distance formula, which is:
\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where
(x1, y1) is one coordinate, and (x2, y2) is the other coordinate.We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:
\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)
Now we can multiply our diameter by 1/2 to find the length of the radius:
r = 1/2√101
Step 2: We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter. The midpoint formula is
\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where
(x1, y1) is one coordinate, and (x2, y2) is another coordinateWe can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:
\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)
Thus, the coordinate for the center are (-2, 6.5).
Step 3: Now, we can create the equation of the circle and simplify:
(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2
(x + 2)^2 + (y - 6.5)^2 = 25.25
An object is dropped from the top of Pittsburgh's USX Towers, which is 841 feet tall. The
height of the object after t seconds is given by the function h(t) = 841 - 16t?
To the nearest whole number, estimate how many seconds until the object hits the ground.
Answer:
Step-by-step explanation:
h(t) = 841 - 16t
[Is this written correctly? The time is usually t^2, not t. I'll solve with the written equation, but check the equation]
The height at ground level is 0, so we want the value of t when h(t) = 0:
0 = 841 - 16t
-16t = -841
t = 53 seconds
One can also graph this formula and find the time to hit the ground at the point the line intersects the x axis (x = 0).
====
If the equation should have read h(t) = 841 - 16t^2, solve it as above, setting h(t) = 0.
t = (29/4) seconds
This can also be graphed.
6−3+4x+1= no solution one
solution
Answer:
The answer is 4x+(any number other than 4)
Step-by-step explanation:
If there are no solutions, then the equation will be equal to 4x + (any number other than 4).
Examples: 4x + 1, 4x + 2, 4x + 3
2. How many bits are needed to represent decimal values ranging from 0 to 12,500?
To represent decimal values ranging from 0 to 12,500, we need 14 bits.
To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.
The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.
log2(12,500) ≈ 13.60
Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.
Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.
Learn more about whole number
brainly.com/question/29766862
#SPJ11
If £1 = US$1.11316 and A$1 = US$0.8558, how many British pounds will you get for one Australian dollar?
=£
Round to two decimal places
The correct answer is you will get approximately £1.30 for one Australian dollar.
To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.
Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:
£1 / (US$1.11316) = A$1 / (US$0.8558)
To find the value of £1 in Australian dollars, we can rearrange the equation:
£1 = (A$1 / (US$0.8558)) * (US$1.11316)
Calculating this expression, we get:
£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992
Therefore, you will get approximately £1.30 for one Australian dollar.
Learn more about statistics here:
https://brainly.com/question/30915447
#SPJ11
The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?
Answer:
0.57 or 0.56
Step-by-step explanation:
passenger fares + tax revenue = operating costs
Thus:
passenger fares = operating costs - tax revenue
= $69 million - $30 million
= $39 million
The ratio of passenger fares to total operating costs is:
$39 million
= 0.5652.
$69 million
To the nearest hundredth, the farebox recovery ratio is 0.57.
What is 2/3 ÷ 1/6?
A: 4/6
B: 1/6
C: 3/6
D: 5/6
Answer:
4
Step-by-step explanation:
2/3 / 1/6
= 2/3 * 6/1
= 12/3
= 4.
Show me the
volume of a cube
with side lengths
of 2
Answer:
8
Step-by-step explanation:
v=l*w*h so 2^3=8
EXTRA POINTS* how do you graph a fraction? for example slope= 1/2, y-intercept: -2 how do you graph this
Answer:
Because of the y intercept, you would first plot a point at (0,2). This means that you would put the point when x does not from the origin (middle of the lines) and 2 points up from it. After, for every 2 points going to the right, you go only 1 up on y. This is because the slope is 1/2. I recommend you watch Khan Academy.
Step-by-step explanation:
If 42x+1 = 4, then x =
Answer:
X=1/14
Step-by-step explanation:
Answer:
1/14
Step-by-step explanation:
convert 14 in base 10 into base 5
Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅