I need help figuring out any details that are in this graph and what you can make of it.

The standard deviation of the sampling distribution is; Option A: 3.750

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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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)

The required number line attached below shows the absolute value of the rational number 9/28 is from 0.

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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Answer:

Step-by-step explanation:

It would be -5 3-5=-2

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

The domain of the given function f(x) = (x + 4)/x² + x - 12 is given by {x|x ≠ 3, 4}.

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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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]

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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The area of a circle with a diameter of 6 is A=π(3)². Option C

It is important to note that the area of a circle is expressed with the formula;

A = πr² or πd²/4

Where;

From 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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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.

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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Answer

9(r+6)

Step-by-step explanation:

9r + 54

Factor out 9.

9(x+6)

Having two sets of parallel sides, a parallelogram is a quadrilateral. Because squares must have two sets of parallel sides, they are all 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:

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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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.

Answer:

x-Intercepts: (-4,0)(-2,0)

y-intercept: (0,8)

Vertex: (-3,-1)

AOS: [tex]x=-3[/tex]

Step-by-step explanation:

Therefore, the perimeter of a quadrilateral at the given vertices is 12.76 units.

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.

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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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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The answer is: 85870

Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.

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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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.

14% of population would test positive for the disease

Step 1. Give algebraic names to various events described:

Step-2: Model the given situation mathematically.

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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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.

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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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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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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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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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!

Answer:

leading coff=-7

degree=3

Step-by-step explanation:

The product of a, b and c is equal to 18.

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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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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