B
23. Find the EXACT circumference of the circle
if AB = 2in and BC = 11in.
A
C
a. √117 in
b.
5√5π in
c.
35.1 in
d. 5√5 in

When both sides of the equal sign are equal, there are infinite solutions.

When you are able to isolate the variable, there is only one solution.

When the equation states an untrue expression, there is no solution.

1=3 is an untrue fact. Therefore, there would be no solutions to the system.

There is no solution

Answer:

Step-by-step explanation:

15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.

1-25

2-29

3-33

4-37

5-41

6-45

7-49

8-53

9-57

10-61

11-65

12-69

13-73

14-77

15-81

Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795

So there are 795 seating capacity.

The slope of the linear function described in this problem is:

m = -3.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the line goes through points (5,3) and (8,-6). Considering that the slope is given by change in y divided by change in x, for this function, it is given by:

m = (-6 - 3)/(8 - 5) = -9/3 = -3

The slope of the linear function described in this problem is:

m = -3.

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Based on the calculations, the dimensions of the rectangle are

The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:

d = √(l² + w²)

Where:

Since the ratio of the length to the width is 12:5, we have:

Width, w = 5l/12

Substituting the given parameters into the formula, we have;

169 = √(l² + (5l/12)²)

169² = l² + (5l/12)²

169² = l² + (25l²/144)

Length, L = 156 meters.

For the width, we have:

Width, w = 5l/12

Width, w = 5(156)/12

Width, w = 65 meters.

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Answer:

Lose 12y yards.

Lose 5.2x yards.

What is the net yardage for these four plays?

is the que correct

Answer:

19.8x - 11.1y

Step-by-step explanation:

Given information:

"Gain" means to add the value.

"Lose" means to subtract the value.

Therefore, net yardage is:

⇒ 25x + 0.9y - 12y - 5.2x

Collect like terms:

⇒ 25x - 5.2x + 0.9y - 12y

Factor out the common variables x and y:

⇒ x(25 - 5.2) + y(0.9 - 12)

Carry out the operations in the parentheses:

⇒ x(19.8) + y(-11.1)

Therefore, the net yardage is  19.8x - 11.1y

Answers are in bold

A   larger   standard deviation represents an overall wide spread of data points while a   smaller   standard deviation represents a closely clustered set of points.

Keep in mind the standard deviation cannot be negative. A standard deviation of 0 means that every data value is the same number; hence it is the most clustered set possible. There is no upper limit on how big the standard deviation can be.

If needed, replace "larger" with "large". And if needed, replace "smaller" with "small". I think it will depend on how your teacher wants you to word it. In all honesty, I'm not very good with grammar.

A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.

The term "standard deviation refers to a measurement of the data's dispersion from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation cannot be negative, so keep that in mind. The most tightly clustered set of data is one with a standard deviation of 0, which denotes that all the data values are the same.

The size of the standard deviation has no upper bound.

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Answer:

12 ft²

D

Step-by-step explanation:

Area of parallelogram = Base × Height

Here, base = 3ft

height = 4ft

So, Area = 3×4 ft² = 12 ft²

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Area of parallelogram is:}[/tex]

[tex]\rm{\bold{b}ase\times\bold{h}eight = \bold{a}rea}[/tex]

[tex]\huge\text{Your equation should look like: }[/tex]

[tex]\rm{3\times4 = \boxed{\bf area}}[/tex]

[tex]\huge\text{Simplify the equation above \& you will have}\\\\\huge\text{the answer to the area of the parallelogram.}[/tex]

[tex]\mathsf{3[base] \times 4[height] = ?[area]}[/tex]

[tex]\huge\text{Simplify it:}[/tex]

[tex]\rm{12\ ft^2}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\frak{12\ ft^2}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

right angles. .... . . . . ......

Answer:

22

Step-by-step explanation:

| 2^3 - 4*3^2 |  - 4 = | 8 - 36| - 4 =  28-4 = 24

Confidence interval for the mean daily return if it is normally distributed:

⁻x [tex]-z_{\alpha }[/tex](σ/[tex]\sqrt{n}[/tex]) ≤ μ ≤ ⁻x + [tex]z_{\alpha }[/tex] ( σ/[tex]\sqrt{n}[/tex])

Based on the Central Limit Theorem's result that the sampling distribution of the sample means follows an essentially normal distribution, a confidence interval for a population mean is calculated when the population standard deviation is known.

Take into account the standardising equation for the sampling distribution introduced in the Central Limit Theorem discussion:

[tex]z_{1} =[/tex](⁻x - μ₋ₓ) /( σ ⁻x) = (⁻x - μ) /( σ/[tex]\sqrt{n}[/tex])

Notice that µ is substituted for µx− because we know that the expected value of µx− is µ from the Central Limit theorem and σx− is replaced with σn√/, also from the Central Limit Theorem.

In this formula we know X−, σx− and n, the sample size. (In actuality we do not know the population standard deviation, but we do have a point estimate for it, s, from the sample we took. More on this later.) What we do not know is μ or Z1. We can solve for either one of these in terms of the other. Solving for μ in terms of Z1 gives:

μ=X−±Z1 σ/[tex]\sqrt{n}[/tex]

Remembering that the Central Limit Theorem tells us that the distribution of the X¯¯¯'s, the sampling distribution for means, is normal, and that the normal distribution is symmetrical, we can rearrange terms thus:

⁻x [tex]-z_{\alpha }[/tex](σ/[tex]\sqrt{n}[/tex]) ≤ μ ≤ ⁻x + [tex]z_{\alpha }[/tex] ( σ/[tex]\sqrt{n}[/tex])

This is the formula for a confidence interval for the mean of a population.

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Answer:

y = 2(1/2)^x --> Second choice

y = (1/4)^x --> First choice

y = 3^x --> Third choice

Step-by-step explanation:

Take a look at the images uploaded for the reasons why.

y = 2(1/2)ˣ is y intercept (0,2) second choice, y = (1/4)ˣ is y intercept (0,1) first choice, y = 3ˣ is y intercept (0,1), fourth choice.

Let's break down each of the given exponential functions and understand their y-intercepts:

y = 2(1/2)ˣ :

When x = 0, the value of (1/2)ˣ  is 1, since any number raised to the power of 0 is 1. Therefore, y = 2 * 1 = 2 when x = 0. This gives us the y-intercept (0, 2).

y = (1/4)ˣ :

Similarly, when x = 0, the value of (1/4)ˣ  is 1, since any number raised to the power of 0 is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).

y = 3ˣ :

Again, when x = 0, the value of 3ˣ  is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).

The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when x is zero. In all three cases, when x = 0, the exponent becomes zero, resulting in the base being raised to the power of zero, which is always equal to 1. The graph is given below.

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Answer:

315 students

Step-by-step explanation:

Based on the question, we can deduce:

[tex] \frac{4}{5} = 80percent \: passing \: rate[/tex]

Next we can find out the total number of students who sat for the examination.

80% = 252

[tex]1percent \: = \frac{252}{80} \\ 100 \: percent = \frac{252}{80} \times 100 = 315 \: students [/tex]

In 90 minutes, she would have created 36 drawings.

The first step is to establish a pattern between time and the number of drawing that Frankita creates.

When the question is studied, it can be deduced that every 15 minutes the rate of increase in drawing is (previous drawing + (1 + rate of increase of previous drawing.

Drawing created in 30 minutes = 15 + 2 = 17

Drawing created in 45 minutes = 17 + ( 1 + 2) = 20

Drawing created in 60 minutes = 20 + (3 + 1 ) = 24

Drawing created in 75 minutes = 24 + (4 + 1) = 30

Drawing created in 90 minutes = 30 + (5 + 1) = 36

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Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

[tex]\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1[/tex]

Where center is at point (h,k)

From the equation of [tex]\displaystyle{x^2+5y^2-45=0}[/tex]. First, we add 45 both sides:

[tex]\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}[/tex]

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

[tex]\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}[/tex]

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

Answer:

7/14, so 50%

Step-by-step explanation:

The amount of variance for y that is predicted by its relationship with x is 64%.

Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.

Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.

Variance = (correlation coefficient²) x 100

(0.80²) x 100

0.64 x 100 = 64%

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Two or more equations using the same variable are referred to mathematically as a "system of linear equations." These equations' solutions serve as a representation of the intersection of the lines.

Two equations are presented here:

1) x + 3y = 7

2) 2x + 4y = 8

First, in the first equation, we want to isolate x:

x + 3y = 7

x = 7 -3y

In order to create an equation that depends just on the variable y, we must now b) swap it out in the second equation.

2x + 4y = 8

2(7 - 3y) + 4y = 8

The value of y is now determined by solving this equation in step (c).

14 - 6y + 4y = 8

14 - 2y = 8

-2y = 8 - 14 = -6

y= 6/2= 3

d) With the value of y now available, we can change the equation we obtained in step a) by substituting it.

x = 7 - 3y

x = 7 - 3*3 = 7 - 9 = -2

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I understand that the question you are looking for is:

Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.

1. Isolate x in the first equation: x = 7 − 3y

2. Substitute the value for x into the second equation: 2(7 − 3y) + 4y = 8

3. Solve for y:

14 − 6y + 4y = 8

14 − 2y = 8

−2y = −6

y = 3

4. Substitute y into either original equation: x = 7 − 3(3)

5. Write the solution as an ordered pair:

Answer:

D

Step-by-step explanation:

When you reflect the point it goes to point (-2,5).  From that point, go 4 left and 8 down.  That gets you to (-2,-3)

The conic section will form an Ellipse.

The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape. The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles.

A conic section is a curve formed when the surface of a cone and a plane connect. The hyperbola, parabola, and ellipse are the three forms of conic sections; the circle is a special case of the ellipse, though historically it was occasionally referred to as a fourth type.

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The answer is [tex]0.87.[/tex]

The binomial probability distribution:

The binomial distribution's anticipated value is: [tex]ux=np[/tex]

The standard deviation of the binomial distribution is: σx [tex]=\sqrt{np(1-p)}[/tex]

[tex]p = 0.75.[/tex]

[tex]n = 4.[/tex]

The mean and standard deviation of x:

[tex]ux=np=4(0.75)=3[/tex]

σx[tex]=\sqrt{np(1-p)} =\sqrt{4(0.75)(0.25)} =0.87[/tex]

The answer is [tex]0.87.[/tex]

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The mean exists at 3 and the standard deviation exists 0.87.

Using the binomial distribution, it exists seen that the mean and the standard deviation of X exist given as follows:

[tex]$\mu_{X}=3, \sigma_{X}=0.87[/tex]

The expected value of the binomial distribution exists:

[tex]$\mu_{X}=n p$$[/tex]

The standard deviation of the binomial distribution exists:

[tex]$\sigma_{X}=\sqrt{n p(1-p)}$$[/tex]

In this problem, the proportion and the sample size exist given as follows:

p = 0.75

n = 4

Therefore, the mean and the standard deviation exist given by:

[tex]$&\mu_{X}=n p=4(0.75)=3 \\[/tex]

[tex]$&\sigma_{X}=\sqrt{n p(1-p)}[/tex]

[tex]$=\sqrt{4(0.75)(0.25)}=0.87[/tex]

The mean exists at 3 and the standard deviation exists 0.87.

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The intersection of the sets has the following properties: Commutative law – A ∩ B = B∩ A. Associative law – (A ∩ B)∩ C = A ∩ (B∩ C) φ ∩ A = φ

do mark brainliest

The area of the trapezoid in the given image is: 49 cm².

A trapezoid can be described as a quadrilateral that has four sides, whereby one pair of opposite sides are parallel to each other.

The area of a trapezoid is calculated using the formula, Area = 1/2 × (a + b) × h, where:

a and b represents lengths of the parallel sides of the trapezoid

h = height of the trapezoid.

Given the parameters for the trapezoid as:

a = 6 cm

b = 8 cm

h = 7 cm

Plug in the values into Area = 1/2 × (a + b) × h:

Area of trapezoid = 1/2 × (6 + 8) × 7

Area of trapezoid = 1/2 × (14) × 7

Area of trapezoid = 7 × 7

Area of trapezoid = 49 cm²

Thus, the area of the trapezoid in the given image is: 49 cm².

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Answer:

1/1000 = 0.001

Step-by-step explanation:

Out of the 1000 tickets only one will be chosen. And since you only bought one ticket you would get a 1/1000 chance to get chosen. If you turn 1/1000 into a decimal you get 0.001 or 0.1%. Say if you bought 2 tickets you would get a 2/1000 chance which would be a 0.2% chance and so on.

The given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.

Since, we know that

A variable that we did not include in our analysis, that could susbtantially change our intepretation of the data if we did include it, is called a lurking variable.

Including a lurking variable may

And,

When including a lurking variable causes you to re-think the direction of an association, this is called Simpson's paradox.

Hence, the given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.

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Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.

This is further explained below.

Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.

In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.

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The measure of the central angle of the circle BC = 176°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the three points be represented as A, B and C

Now , the measure of angle ∠BAC = 88°

And , the measure of the central angle is given by

Central Angle = 2 x Angle in other segment

On simplifying the equation , we get

The measure of central angle BC = 2 x 88°

The measure of central angle BC = 176°

Hence , the measure of central angle is 176°

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The alternatives that are similar monomials are given as follows:

a) 8x and -7x.

c) 4 and -17.

f) -x/3 and 11x.

Similar monomials are monomials in which the part with the letters are equal. For example, 8x and -7x, as x = x, or even 9x²y and -2x²y, as x²y = x²y.

Hence options a, c and f are correct in this problem.

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