Yes , watching TV helps you live longer by using correlation coefficient.
How to interpret a correlation coefficient?
The statistical measure of how well changes in the value of one variable predict changes in the value of another is called a correlation coefficient. The value rises or falls together when the variables are positively linked.
The r represents the correlation coefficient which has a value 0.89 for the given case.
we can say that there is a positive association between the life expectancy of citizen and the average number of TVs in households.
the r value is close to +1 which means that the association is close to linear relation .
so we put it like
R² = 0.89² = 0.7921
now 0.7921 signifies that almost 79% variation in life.
So we can say that watching TV helps you live longer.
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Rewrite this number in standard (decimal) notation without the use of exponents or scientific notation:
8.587 x 10^4
answer=
The answer is: 85870
The questions are on the paper
Answer:
x-Intercepts: (-4,0)(-2,0)
y-intercept: (0,8)
Vertex: (-3,-1)
AOS: [tex]x=-3[/tex]
Step-by-step explanation:
4. y=-7x³ + 3x² + 12x - 1
Degree:
Leading Coeff:
End Behavior:
Answer:
leading coff=-7
degree=3
Step-by-step explanation:
What are the solutions to sin theta=-sqrt3/2, where 0 ≤ 0≤ 2n?
The solutions to sin(θ) = -√3/2 in the interval 0 ≤ θ ≤ 2π are approximately θ = 5π/3 and θ = 4π/3.
What is an interval?
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers.
The equation sin(θ) = -√3/2 has two solutions in the interval 0 ≤ θ ≤ 2π.
Since the sine function has a range [-1, 1], the value of -√3/2 lies in the range of the sine function, so there are solutions in the specified interval.
Using the unit circle, we can find the values of θ that satisfy the equation. In the unit circle, the sine of an angle is equal to the y-coordinate of the point on the circle that corresponds to that angle.
The point (-√3/2, -1/2) lies on the unit circle and has an angle θ that satisfies the equation.
The other solution can be found by adding π to θ, since the sine function has a period 2π.
Hence, the solutions to sin(θ) = -√3/2 in the interval 0 ≤ θ ≤ 2π are approximately θ = 5π/3 and θ = 4π/3.
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PLS HELP I WILL GIVE BRAINLIEST!!
Explain your work.
Having two sets of parallel sides, a parallelogram is a quadrilateral. Because squares must have two sets of parallel sides, they are all parallelograms.
What is Proofs for Parallelograms?An object with four sides is a quadrilateral. The quadrilateral with two pairs of parallel sides is known as a parallelogram. A parallelogram essentially appears as follows:
A parallelogram is a quadrilateral, but how can you know that? Five methods exist for determining. You must provide evidence thatBoth sides of a situation are equal (a.k.a., congruent)It is parallel on the opposing sides.Diagonals cut each other in half, and interior opposing angles are equal.The following angles are supplementary in that they sum up to 180 degrees.Contrary Sides
Starting with the opposite sides theorem, which asserts that a parallelogram's opposite sides are equal, let's go on.
Take the parallelogram ABCD as an example, where side AB is parallel to side CD and side AD is parallel to side BC.
In order to connect points A and C, let's now draw a line. The parallel lines AB and C are transposed by this line.
The triangles ABC and CDA were formed by line AC, as can be seen.
Interior angle 1 equals interior angle 2, and interior angle 3 equals angle 4 in these two triangles, proving the alternate interior angles theorem of parallel lines.
Asymmetrical Angles
In a parallelogram, the opposing angles are also equal. Let's move on to that. Take into account the parallelogram ABCD that is the same but has a transversal line. The different interior angles are equal in this instance, as can be seen.
Angle 1 equals Angle 2, and Angle 3 equals Angle 4. Angle 1 plus Angle 3 equals Angle 2 plus Angle 4, therefore the inverse is the sum of the opposite. It would also demonstrate that the other angles are equal if another transversal were drawn between points B and D. So:
The parallelogram's opposite angles are equal.
We can see that a parallelogram has equal opposite angles.
Next-to-Next Angles
The following angles are now up for discussion. The consecutive angles theorem states that a parallelogram's total consecutive angles are 180°.
A second time, think about the parallelogram ABCD, but this
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Ninety-two percent of the people who have a particular disease will have a positive result on a given
diagnostic test. Ninety-six percent of the people who do not have the disease will have a negative result on
this test. Suppose 5 percent of the population has the disease.
7. Draw a tree diagram to illustrate these probabilities.
8. What percent of the population would test positive for the disease?
9. If someone from the population tests positive, what is the probability that (s)he has the disease?
99.4% chance that you are healthy if you receive a negative test. 67.9% chance that you are sick if you receive a positive test.
How to calculate probability?14% of population would test positive for the disease
Step 1. Give algebraic names to various events described:
Let the event A represent the event that the diagnostic test gives a positive resultthe event E1 represent the event that a person has the particular disease, and, the event E2= not E1 represent the event that a person does not have the particular disease.Step-2: Model the given situation mathematically.
It is given that ninety percent of the people who have the disease will have a positive result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a positive result (A) given that the tested person has the disease (E1) is given to be 90% Thus, P(A/E1)=90%It is also given that ninety percent of the people who do not have the disease will have a negative result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a negative result (not A), given that the tested person does not have the disease (E2 = not E1) is given to be 90%
Thus P(not A/E2)=90%
Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease (E1) has the probability of 5% Thus P(E1)=5%
It is needed to find what percent of that population would test positive for the disease.
Thus, the probability that a person will have a positive result when tested, P(A) is to be determined.
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HELP QUICK PLS
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 10. What is the probability that a randomly
selected male's systolic blood pressure will be less than 129, to the nearest
thousandth?
Therefore, the solution of given problem of probability is there is a 0.397 percent chance that a randomly chosen male will have a systolic blood pressure below 100.
How does probability work?A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A possibility is a number from 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or chance that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages ranging from 0% to 100% and from 0 to 1.
Here,
Considering the query
In a particular municipality, men's systolic blood pressure has a median of 105 as well as a standard deviation = 9, which is considered to be regularly distributed.
Probability that the systolic blood pressure of a man chosen at random will be less than 100
P(x < 100)
Through the use of normalized normal distribution
=> N(100 -105)/9 \s=> N (-5/9)
We have a>0 and N(-a) = 1 - N(a).
=> 1 - N (-5/9)
=> 1 - N(0.556) (0.556)
=>1 - 0.6026
=> 0.3979
≈ 0.397 (nearest hundredths) (nearest thousandth)
Therefore, there is a 0.397 percent chance that a randomly chosen male will have a systolic blood pressure below 100.
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Find the next three numbers in the pattern. Write your answer as decimals 4.1, 4.5, 4.9, 5.3,
Answer:
The pattern is +4
4.1, 4.5, 4.9, 5.3, 5.7, 6.1, 6.5, 6.9
Step-by-step explanation:
You're welcome.
Answer:
Step-by-step explanation:
gap in partten is 4 any doubt
I’ll give BRAINLIEST if correct need ASAP pls
The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. What was the temperature at midnight? I need an expression.
We can start by using algebra to represent the information given in the problem. Let T be the temperature at midnight.
What is the short definition of temperature?
Temperature is a physical property of matter that measures the degree of hotness or coldness of an object or substance. It is a measure of the average thermal energy of the particles in a substance, and it can be measured in various units such as Celsius, Fahrenheit, and Kelvin.
According to the problem, the temperature at the current time is -7 degrees. We know that the temperature tripled since midnight, so we can write an expression for the current temperature as:
T * 3 = -7
We know that the temperature also rose by 5 degrees since midnight, so we can add 5 to the above expression:
T * 3 + 5 = -7
Now to find out the temperature at midnight, we need to solve for T, which is the temperature at midnight.
We can solve for T by isolating it on one side of the equation. To do this, we can start by subtracting 5 from both sides:
T * 3 = -12
Next, we divide both sides by 3:
T = -4
So the temperature at midnight was -4 degrees. T = -4
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Find the distance between each pair of points.
5)
2
AR
6) (6,-3), (2,-2)
Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.
Define distance.Distance is a measure of an object's travels. Distance, put simply, is what an item travels over in a particular amount of time, or t. The shortest path an object can take while moving is displacement, nevertheless. We commonly incorporate the physical quantities of distance and displacement.
Here,
provided are (6, -3) & (2, -2)
Now, the separation between points (a, b) & (c, d) is
d= √(c-a)² + ( d- b) ²
Therefore, d= √(-3+2)² + (2-6)²
d= √ 1 + 16
d= √17
It follows that there are √17 units separating the two points.
Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.
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What type of graph or graphs would you plan to make in a study of each of the following issues?
(a) What makes of cars do students drive? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(B) How old are their cars? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(c) How many hours per week do students study? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plo
tnone of the above
(d) How does the number of study hours change during a semester? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(e) Which radio stations are most popular with students? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(f) When many students measure the concentration of the same solution for a chemistry course laboratory assignment, do their measurements follow a normal distribution? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
The concept given is Graphs. A graph is a chart showing the relationship between magnitudes of variables, usually two variables, each measured along a pair of orthogonal axes.
Charts and tables are powerful visual tools because they present information quickly and easily. that graphics are commonly used in print and electronic media.
Sometimes data is easier to understand in a chart than in a table because a chart can show a trend or comparison.
A) bar graph and pie chart.
B) histogram, stem plot, and box plot.
C) histogram, stem plot, and box plot.
D) time plot.
E) bar graph and pie chart.
F) normal quantile plot.
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situation #4
It is known that ∆BIG~∆FUN.
4a. Angle N is congruent to which
angle? [Letter Only]
4b. Using situation #4, what should
go in the place of the smiley face in
this proportion?
NF ☆ ☾
---- = ---- = ----
☻ IB ♡
4c. Using situation #4, what should
go in the place of the moon in this
proportion?
NF ☆ ☾
---- = ---- = ----
☻ IB ♡
On solving the provided question, we can say that triangle BIG and triangle FUN are similar to each other and are congruent, so angle N is congruent to angle G.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
we have been provided with that
triangle BIG and triangle FUN are similar to each other and are congruent.
Angle N is congruent to angle G.
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factoriser
A=(2x-3)(2x-3)-(x-2)(x-2)
B(2, 1) and C(–8, –4) are the endpoints of a line segment. What is the midpoint M of that line segment?
Write the coordinates as decimals or integers.
You don't need to give me steps if you don't want to, I'm fine with that
Point M has the coordinates (-3, -1.5) which are written as decimals.
What is the midpoint of the line segment?
The midpoint of a line segment is the point that is exactly in the middle of the line segment. It is the point that divides the line segment into two equal parts.
To find the midpoint of a line segment, you can use the formula:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
Where x1, y1 and x2, y2 are the coordinates of the two endpoints of the line segment.
In this case, the endpoints of the line segment are B(2, 1) and C(–8, –4).
So we can substitute the coordinates of B and C in the midpoint formula:
Midpoint = ( (2 + -8) / 2 , (1 + -4) / 2 )
Midpoint = ( -3 , -1.5)
The midpoint of the line segment is (-3, -1.5).
Hence, point M has the coordinates (-3, -1.5) which are written as decimals.
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Would this be SSS, ASA, SAS, or AAS?
Please help 31 +5/9y =
if the expression 3x + 10 is equivalent to -2x what must the value of x be
Answer:
Step-by-step explanation:
It would be -5 3-5=-2
identify the domain x + 4/ x2 + x - 12
The domain of the given function f(x) = (x + 4)/x² + x - 12 is given by {x|x ≠ 3, 4}.
What is a domain?In Mathematics, a domain simply refers to the set of all real numbers for which a particular function is defined. In Mathematics, the horizontal extent of a graph represents all domain values (input values) and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing the graph of this function f(x) = (x + 4)/x² + x - 12 shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = (-∞, 4) U (-4, 3) U (3, ∞); {x|x ≠ 3, 4}.
Range = (-∞, -1/7) U (-1/7, 0) U (0, ∞); {y|y ≠ 0, -1/7}.
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Use the GCF to factor 9x + 54
Answer
9(r+6)
Step-by-step explanation:
9r + 54
Factor out 9.
9(x+6)
please help!
The longest side of a triangular sail measures 13 ft and the base of
the sale is 5ft. What is the height of the sail?
Answer:
12 ft
Step-by-step explanation:
Assuming the triangle is a right triangle, we can use the Pythagorean theorem, a^2+b^2=c^2
Plugging our numbers in, we get 5^2+b^2=13^2
25+b^2=169
b^2=144
b=12
I also believe that this is a 5 12 13 triangle so if you remember those, you can automatically know the lengths!
find the perimeter of a quadrilateral with vertices at C(2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hundredth when necessary
Therefore, the perimeter of a quadrilateral at the given vertices is 12.76 units.
What is quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.
Define edges and corners.A face is a flat surface, an edge is a straight line connecting two faces, and a vertex is the corner of the form. Faces, edges, and vertices of three-dimensional forms are all unique. In the course of our daily activities, we come into contact with numerous things of all sizes and forms.
The length of each side:
CD: C(2,4) and D(1,1) = sqrt((1-2)^2 + (1-4)^2) = sqrt(1 + 9) = sqrt(10)
DE: D(1,1) and E(5,0) = sqrt((5-1)^2 + (0-1)^2) = sqrt(16+1) = sqrt(17)
EF: E(5,0) and F(3,4) = sqrt((3-5)^2 + (4-0)^2) = sqrt(4+16) = sqrt(20)
FC: F(3,4) and C(2,4) = sqrt((2-3)^2 + (4-4)^2) = sqrt(1) = 1
Perimeter of the quadrilateral = sum of the lengths of all four sides:
Perimeter = sqrt(10) + sqrt(17) + sqrt(20) + 1
Calculating, perimeter = 3.162+4.123+4.472+1 = 12.7557 and rounding to the nearest hundredth, it is 12.76
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I need help the last one
Graph G has 7 vertices. Graph C is isomorphic to graph G.
What are the vertices of a graph?
The term "vertex" refers to a node of a graph, which is one of the points on which the graph is constructed and which can be connected by graph edges.
The vertices of graph G are A, B, C, D, E, F, G
The number of vertices of graph G is 7.
The number of edges that are connected to a vertex that the degree of the vertex.
Vertex degree
A 4
B 2
C 3
D 2
E 3
F 3
G 3
The vertices of graph A are T, U, V, W, X,Y,Z
The number of vertices in graph A is 7.
Vertex degree
T 3
U 3
V 1
W 3
X 3
Y 3
Z 2
The degree of the vertices of graph A is not the same as the degree of graph G.
The vertices of graph B are T, U, V, W, X,Y,Z
The number of vertices in graph B is 7.
Vertex degree
T 2
U 4
V 2
W 3
X 3
Y 3
Z 3
The degree of the vertices of graph B is not the same as the degree of graph G.
The vertices of graph C are T, U, V, W, X,Y,Z
The number of vertices in graph C is 7.
Vertex degree
T 4
U 2
V 3
W 3
X 3
Y 3
Z 2
The degree of the vertices of graph C is the same as the degree of graph G.
Thus graph C is an isomorphism of graph G.
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(4m)² - (3n-2m)
M=-2 n=5
PLEASE SHOW WORK 100 POINTS FOR WHOEVER DOES IT CORRECT
Answer:
45
Step-by-step explanation:
(4m)² - (3n-2m)
(4 * -2) = -8 * -8 = 64
(3 * 5 - 2 * -2) = 15 - -4 = 15 + 4 = 19
64 - 19 = 45
Answer:
result of the expression is 83.
Step-by-step explanation:
original expression: (4m)² - (3n-2m)
Given a standard deviation of sigma equals 15 and a sample size of n equals 16, calculate the standard deviation of the sampling distribution.
3.750
1.067
0.938
4.131
The standard deviation of the sampling distribution is; Option A: 3.750
How to calculate the sample standard deviation?Standard deviation is defined as a measure of how spread out numbers usually are. It is further said to be the square root of the Variance, and then the variance is the average of the squared differences from the Mean.
Now, we are given;
Population standard deviation; σ = 15
Sample size; n = 16
Formula for sample standard deviation in this regards is;
s = σ/√n
Plugging in the relevant values gives;
s = 15/√16
s = 15/4
s = 3.750
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Which of the following gives the area, A
, of a circle with a diameter of 6?
A
A=π(3)
B
A=π×2(3)
C
A=π(3)2
D
A=π×2(3)2
The area of a circle with a diameter of 6 is A=π(3)². Option C
How to determine the area of the circleIt is important to note that the area of a circle is expressed with the formula;
A = πr² or πd²/4
Where;
A is the area of a circleπ takes the value 3. 14 or 22/7r is the radius of the circled is the diameter of the circleFrom the information given, we have that the diameter is 6
Radius = diameter/2 = 6/ 2 = 3
Substitute the value into the formula for area
Area, A = π(3)²
Hence, the area of the circle is π(3)²
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Please help!!! I am so confused and this is due tomorrow!!
The simplified expressions for (A), (B) and (C) are:
(A) [tex]f(x+h) = 4x + 4h - 6[/tex]
(B) [tex]f(x+h) * f(x) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]
(C) [tex]f(x+h) - f(x) / h = 4[/tex]
How to simplify the equation?To simplify we use the given method.
A)
[tex]f(x+h) = 4(x+h) - 6 = 4x + 4h - 6[/tex]
B) [tex]f(x+h) * f(x) = (4x + 4h - 6) * (4x - 6) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]
C)
[tex]f(x+h) - f(x) / h = (4x + 4h - 6) - (4x - 6) / h = 4h / h = 4[/tex]
So the simplified expressions for (A), (B) and (C) are:
(A) [tex]f(x+h) = 4x + 4h - 6[/tex]
(B) [tex]f(x+h) * f(x) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]
(C) [tex]f(x+h) - f(x) / h = 4[/tex]
Please note that in (C) the difference of the functions is divided by h, not multiplied.
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Supervisor: "We want to increase the number of customers who are adding service plans to their purchases to 40% of all new customers.” Representative: “So, if I sign up 60 new customers, that means I have to get __________ to add service plans.”
Answer:
Supervisor: "We want to increase the number of customers who are adding service plans to their purchases to 40% of all new customers.” Representative: “So, if I sign up 60 new customers, that means I have to get 24 to add service plans.”
24 customers would need to add service plans. 40% of 60 is 24.
Graph the rational number on a number line. 98/28
The required number line attached below shows the absolute value of the rational number 9/28 is from 0.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The rational number is given in the question, as follows:
98/28
We have to determine the graph of the rational number on a number line.
As per the question, we can write the simplest form of the fraction as:
⇒ 98/28 = 7/2
Thus, the number line attached below displays the distance of the fraction from 0.
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If the expression 4[tex]\frac{4\sqrt{81x^4y^2}}{x^-1/2y^-1}[/tex] is written in form ax^by^c, then what is the product of a b c?
The product of a, b and c is equal to 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is are the expression as -
[tex]$\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }[/tex]
The given expression is -
[tex]$\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }[/tex]
We can rewrite it as -
[tex]$\frac{(81x^{4} y^{2}) ^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = \frac{(3^{4} x^{4} y^{2})^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = 6xy^{\frac{1}{2} } xy[/tex]
Now, we can write -
[tex]6xy^{\frac{1}{2} } xy = 6x^{2} y^{(\frac{1}{2} + 1) } = 6x^{2} y^{(\frac{3}{2}) }[/tex]
On comparing, we get -
a = 6
b = 2
c = 3/2
So -
a x b x c = 6 x 2 x 3/2 = 18
a x b x c = 18
Therefore, the product of a, b and c is equal to 18.
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