Numeric Variables, as they are referred to by the creators of SPSS Statistics, are a combination of ratio and interval variables.
Numeric Variables are a type of data used in statistical analysis, and are a combination of both ratio and interval variables. Ratio variables are those that can be measured, counted, and compared, and include ratios and differences between values. Interval variables are those that measure an amount, such as temperature, but are not able to be compared in terms of ratios or differences. The creators of SPSS Statistics refer to these combined variables as Numeric Variables. Numeric Variables can be used to measure and compare data, as well as to create graphs and charts. They are particularly useful in understanding the relationships between different sets of data.
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How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with
1,920 grams and the half-life is 10 minutes?
grams
The amount of radioactive kind of nitrogen will be left after 30 minutes
is 240 grams.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.
Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,
= 1920/2³. (As 30 = 10×3)
= 1920/8.
= 240 grams.
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She tells you to follow the steps below.
Step 1: Plot the point (1, -3).
Step 2: Plot more points by moving up 2 and right 1.
Step 3: Draw a line through the points and put arrows on the ends..
Annie made a mistake.
What was her mistake? How should she fix her mistake?
The correct illustration of plotting the points is attached in the image.
few of the points are (2, - 1), (3, 1), (4, 3), and (5, 5).
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the given information first, we plot a point (1, - 3) on the x-y coordinate.
Plotting more points by moving up 2 and right 1 would be, (x + 1, y + 2).
So, Some of such points are,
(2, - 1), (3, 1), (4, 3), and (5, 5).
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X(x+8)=-20
Help solve with work
Answer:
-4+4i and -4-4i
Step-by-step explanation:
To start off, we can distribute the x into the x+8 to get x^2 + 8x = -20. From here we can create a polynomial by moving the -20 to the other side by adding 20 to both sides to get x^2 + 8x +20 =0. From here we can check if there is any real solutions by finding the discriminant (the sqrt part of the quadratic formula) so 8^2-4(1)(20). 16-80. Because this gets us a negative number in an actual square root, there answers we would get would be imaginary.
However to solve what the roots are, we would plug the entire equation into the quadratic equation. Getting -8+- sqrt(-64)/2 which simplified is -4+-4i. Therefore our two answers are -4+4i and -4-4i
Two lines p and q intersect at X at an angle of 34 degrees Let A be a point inside the 34 degrees angle formed by p and q. Let B be the reflection of A through line p, and let C be the reflection of A through line q. Find angle BAC, in degrees.
Angle BAC is equal to 72 degrees, which is calculated by subtracting 2 times the angle of intersection between lines p and q (34 degrees) from 180 degrees.
Given that two lines p and q intersect at X at an angle of 34 degrees
Let A be a point inside the 34 degree angle formed by p and q
Then, let B be the reflection of A through line p, and let C be the reflection of A through line q
To find angle BAC,
we must first understand that a reflection of a point across a line results in an angle equal in measure to its original angle, but on opposite sides of the line of reflection.
In this case, because A is inside the 34 degree angle formed by lines p and q,
angle AXB must be equal to 34 degrees
angle AXC must also be equal to 34 degrees
Therefore, angle BAC must be equal to 180 degrees minus 2 times 34 degrees, or 72 degrees.
In conclusion, the angle BAC is equal to 72 degrees.
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Graph the following system of equations.
y = 3x + 9
6x − 2y = 6
What is the solution to the system?
A There is no solution.
B There is one unique solution (−1, −6).
C There is one unique solution (0, −3).
D There are infinitely many solutions.
The given system of simultaneous equations has no solutions.
What is system of simultaneous equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given is the system of simultaneous equations as -
y = 3x + 9
6x − 2y = 6
Refer to the graph of the equations attached. The value of {x} and {y} for which both the equations are true is given by the point of intersection of both lines. Since both lines are parallel, there is no point of intersection and hence no solution.
Therefore, the given system of simultaneous equations has no solutions.
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statistics values parameters
Answer:
Step-by-step explanation:
What is halfway between 39.8 and 39.81
Answer: 39.805
Step-by-step explanation: 39.81 - 39.8 = 0.01
0.01 x 0.5 = 0.005
39.8 + 0.005 = 39.805
please explain the reasoning!!
Answer:
No, the rectangles are not proportional.
Step-by-step explanation:
I say this because the area of the first one is 10ft x 12ft = 120 ft
But, the answer to the second rectangle is 9ft x 8ft = 72ft
Proportional means corresponding in size
So, the rectangles above are not proportional.
Hope this helps!
What kind of polynomials is 3x?
Answer:
I believe this is a zero polynomial since it has only one number
Answer:
3x is a monomial
Step-by-step explanation:
Monomial (One term) – 3x
Binomial (Two Term) – 7a-5
Trinomial (Three Term) – x^2-x-2
Find the area of the figure on the right.
Find the perimeter of the figure on the right.
Use 3.14 for
Please show work
The perimeter of the figure on the right is 40.26 yrd. .
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Perimeter refers to the total outside length of an object.
here, we have,
from the given figure we get,
the radius of the circle = 6 yrd.
then, the perimeter = 2*pi* 6
= 37.68 yrd.
now, the figure is 3/4 th of the circle,
so, perimeter = 37.68 * 3/4 + 12
= 40.26 yrd.
Hence, The perimeter of the figure on the right is 40.26 yrd. .
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(50 POINTS AND BRAINLYEST)
Find the area of the following shape. Make sure to indicate what shapes were used, by sketching on the image, listing
formulas, and show work listed for each shape. (5 total points – 2 for accurate shapes, 2 for accurate work, 1 for total
area answer)
The total area from given figure is 53.13 square units.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
From the graph, we can see three shapes rectangle with length= 6 units and width= 5 units, triangle with height = 6 units and base = 3 units and semicircle with diameter = 6 units
Here, area of a rectangle is Length×Width
= 6×5
= 30 square units
Area of a triangle = 1/2 ×Base×Height
= 1/2 ×3×6
= 9 square units
Area of a semicircle = πr²/2
= 3.14×3²/2
= 3.14×4.5
= 14.13 square units
Total area = 30+9+14.13
= 53.13 square units
Therefore, the total area from given figure is 53.13 square units.
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A group of friends wants to go to the amusement park. They have no more than $345 to spend on parking and admission. Parking is $17.25, and tickets cost $28.75 per person, including tax. Write and solve an inequality which can be used to determine p p, the number of people who can go to the amusement park.
An inequality that can be used to determine p, the number of people who can go to the amusement park, is,
28.75p + 17.25 ≤ 345.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A group of friends wants to go to the amusement park.
They have no more than $345 to spend on parking and admission.
Parking is $17.25, and tickets cost $28.75 per person, including tax.
An inequality that can be used to determine p, the number of people who can go to the amusement park, is,
28.75p + 17.25 ≤ 345.
Therefore, an inequality is 28.75p + 17.25 ≤ 345.
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Dilate pint C using center D and scale factor 3/4
The dilations relation is C'D = (3/4)CD.
How does dilation works?Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
Given;
First, we want to dilate point C using D as the center of dilation with a scale factor = 3/4.
This only means that we will have the new point C', such that:
C'D = (3/4)*CD
Where CD is the distance between points C and D
Therefore, the dilation will be C'D = (3/4)*CD.
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Calculators were purchased at $80 per dozen and sold at $25 for three calculators. What is the profit on six dozen calculators?
Answer:
$120
Step-by-step explanation:
Buying price
$80×6= $480
Selling price
$25×4×6= $600
Profit
$600-$480=$120
The profit on six dozen calculators is $120.
To calculate the profit on six dozen calculators, we need to find the cost of purchasing six dozen calculators and the revenue from selling six dozen calculators.
Step 1: Calculate the cost of purchasing six dozen calculatorsSince each dozen costs $80, the cost of purchasing six dozen calculators is:
$80 x 6 = $480
Since three calculators are sold for $25, the revenue from selling six dozen calculators is:
$25 x (6 x 12/3) = $25 x 24 = $600
The profit is the revenue minus the cost:
$600 - $480 = $120
The profit on six dozen calculators is $120.
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which of the following is always true for all probability density functions of continuous random variables?
A. The area under the curve of the probability density function must sum to 1.
Probability density functions of continuous random variables are used to represent the probability of a given outcome within a specific range. The area under the curve of the probability density function is equal to the probability of the outcome occurring. As the area represents the probability of any outcome occurring, the sum of the area under the curve must always equal 1. Therefore, it is always true that the area under the curve of the probability density function must sum to 1.
The complete question is :
Which of the following is always true for all probability density functions of continuous random variables?
A. The area under the curve of the probability density function must sum to 1.
B. The probability density function must be symmetric.
C. The probability density function must be positive.
D. The probability density function must be decreasing.
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Worth 25 points! Pls show work on both questions inside of the picture.
How much did Speedy Movers borrow for a debt that accumulated to $52,467.60 in four years? The interest rate was 4.68% compounded semi-annually.
The amount (present value) that Speedy Movers borrowed for a debt that accumulated to $52,467.60 in four years was $43,604.16.
What is the difference between the present value and future value?The present value is the amount that Speedy Movers borrowed four years ago at 4.68% interest compounded semi-annually to accumulate to a future value of $52,467.60.
The present value is determined using discounting while the future value is computed by compounding.
We can determine both the present value and the future value using an online finance calculator.
N (# of periods) = 8 semiannual periods (4 years x 2)
I/Y (Interest per year) = 4.68%
PMT (Periodic Payment) = $0
FV (Future Value) = $52467.60
Results:
Present Value (PV) = $43,604.16
Total Interest = $8,863.44
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Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
Answer:
Step-by-step explanation:
r:4/3 cm/s or 1.33 cm/s
What’s the slope? Please help
The slope of the linear relationship is -4/6
How to determine the slope of the lineThe general formula for the equation of a line is expressed as;
y = mx + c
Given that the parameters are;
y is a point on the y -axis of the linem is the slope of the linex is a point on the x - axis of the linec is the intercept of the line on the y-axisThe formula for determining the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
From the diagram shown, we have to substitute the values into the formula, we get;
Slope, m = -6 - (-2)/11 - 5
Expand the bracket
Slope,m = -6 + 2/6
Subtract the values
Slope, m = -4/6
Hence, the value is -4/6
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Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim spend on lunch each day?
The expression can be used to show how much Jim spend on lunch each day is y = 7
Which expression can be used to show how much Jim spend on lunch each day?Amount Jim uses to purchase school lunch = $7.00
Amount with Jim = y
If Jim has the same amount of money and spends the amount he has on school lunch each day;
y = 7
Therefore, Jim spent a total of $7 each day on lunch.
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(logarithms) help w this question the assignment is due at mid night
Answer:
Step-by-step explanation:
The hydrogen ion concentration of a solution can be calculated from the pH using the equation:
[H*] = 10^(-pH)
So for the apple juice with a pH of 3.1:
[H*(apple juice)] = 10^(-3.1) = 0.0005
And for the drinking water with a pH of 8.3:
[H*(drinking water)] = 10^(-8.3) = 1.7 x 10^(-9)
To find the ratio of the hydrogen ion concentration in apple juice to that in drinking water, we divide the concentration of the apple juice by the concentration of the drinking water:
[H*(apple juice)] / [H*(drinking water)] = 0.0005 / (1.7 x 10^(-9)) = 2.94 x 10^9
Therefore, the hydrogen ion concentration in apple juice is 2.94 x 10^9 times the concentration in drinking water.
_____________________________________________________
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The mean and standard deviation of the sample data collected on continuous variable x are -0.25 and 0.03, respectively. The following table shows the relative frequencies of the data in the given intervals.
IntervalRelative Frequency−0.34≤x≤−0.31−0.34≤x≤−0.310.02−0.31≤x≤−0.28−0.31≤x≤−0.280.15−0.28≤x≤−0.25−0.28≤x≤−0.250.33−0.25≤x≤−0.22−0.25≤x≤−0.220.36−0.22≤x≤−0.19−0.22≤x≤−0.190.11−0.19≤x≤−0.16−0.19≤x≤−0.160.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
According to the table, the information does indeed justify using a normal model to approximation population characteristics.
Explain about the normal model of approximation?Since it is frequently simpler to utilize the area there under normal curve than to add together multiple discrete values, this normal approximation is employed to estimate probabilities. The discrete binomial distribution, however, can have statistical characteristics that are dissimilar from those of the normal distribution, as demonstrated in the second article.The answer to the query is:
The following numbers are one standard deviation away:
= 0.33 + 0.36
= 0.69
According to the empirical rule, this value is:
= 0.68
As a result, and in accordance with the empirical rule, the quantities were always 0.95 with two standard deviations. Consequently, the data's empirical rule was followed.
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The correct question is-
The mean and standard deviation of the sample data collected on continuous variable x are −0.25 and 0.03, respectively. The following table shows the relative frequencies of the data in the given intervals.
Based on the table, do the data support the use of a normal model to approximate population characteristics?
which of the following is the most reasonable product of 5 5/29 and 3 12/13
5
10
15
20
The correct statement predicting the closest product is : 20
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here : Two mixed fractions as 5⁵/₂₉ and 3¹²/₁₃
But 5⁵/₂₉=150/29 and 3¹²/₁₃=51/13
Thus the product of the two mixed fractions are as follows
150/29×51/13 =20.292
Clearly the most reasonable product is 20
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Please help asap!!
Try ur best <3
• will give u brainliest
The required solution of the given graph is given as,
(a) Domain = [-2, 2]
(b) Range = [0, 2]
(C) Function, yes given graph is of absolute function.
The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
From the graph, Function is defined for x = -2 to x = 2
So the domain of the function is given as [-2, 2].
For the respective domain, the range of the function is given as[0, 2].
Also, yes the relation shown in the graph is a function,
F(x) = -|x| + 2
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Isaac is buying ingredients to bake 4 batches of chocolate chip walnut cookies, and each batch requires 1 bag each of chocolate chips and walnuts. His receipt shows a total of $17.92. He remembers that the chocolate chips were $2.59 per bag, but he can't remember how much each bag of walnuts costs. How can Isaac determine the cost per bag of walnuts? Match each step of the arithmetic solution with the correct description. Step 1 Step 2 :: Divide 17.92 by 4. II :: Subtract 2.59 from 4.48. :: Add 2.59 to 4.48. :: Multiply 17.92 by 4. :: Subtract 2.59 from 71.68.
The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89
What is the cost of each bag of walnut?Total receipt= $17.92
4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts
Cost of chocolate chips = $2.59
Cost of 4 bags of chocolate chips = 4($2.59)
= $10.36
Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips
= $17.92 - $10.36
= $7.56
Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4
= $7.56 / 4
= $1.89
Therefore, each bag of walnut cost $1.89
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Answer: Step 1: Divide 17.92 by 4
Step 2: Subtract 2.59 from 4.48
Step-by-step explanation:
Vanessa earned 76.00 in 8 hours how much is earned a hour
Answer:
She earned $9.50 an hour
Step-by-step explanation:
Answer:
she earned $9.50
Step-by-step explanation:
76.00 ÷ 8 = $9.50
3/8 of the plants neede3/8 of the plants needed water. 63 plants need water. How many plants are there total?d water. 63 plants need water. How many plants are there total?
The total number of plants is given as follows:
168 plants.
How to obtain the total number of plants?The total number of plants is obtained applying the proportions in the context of this problem.
The variable that represents the total number of plants is given as follows:
n.
The fraction of the number of plants that needed water is given as follows:
3/8.
The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:
3n/8 = 63
3n = 63 x 8
n = 21 x 8(simplifying by 3).
n = 168 plants.
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Help!! I need to find the domain and range of this
The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).
How to find the domain and range of a function?The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.
here, we have,
For the graph, the domain lie across the x-axis. The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).
Note that point where the circles are shaded shows a closed interval
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Which of the following measures would create an infinite number of triangles?
three angles: 62°, 34°, and 84°
three sides: 3 cm, 5 cm, and 10 cm
two sides of 4 cm and 7 cm with an angle of 54° between them
three sides: 3 cm, 5 cm, and 7 cm
Answer:
(a) three angles: 62°, 34°, and 84°
Step-by-step explanation:
You want to know which specification can result in an infinite number of triangles.
Angles onlyIf only the angles are specified, the sides can have an infinite number of (related) lengths.
three angles: 62°, 34°, and 84° will create an infinite number of triangles
Sides onlyAssuming the side lengths can form a triangle, they will specify exactly one triangle.
Lengths 3 cm, 5 cm, and 10 cm cannot form a triangle.
Sides and angle betweenWhen two sides are specified along with the angle between them, exactly one triangle can be formed.
What is the angles to this
Answer:
AA
Step-by-step explanation:
cus it can't be the other cus there is no side