Find x in the diagram.​

True when desired information of Census is available for all objects in the population

A census is a study that collects data from every member of a population, making it the most comprehensive form of data collection.

A census can provide highly accurate information on the entire population, without any risk of sampling error.

However, conducting a census can be time-consuming and costly, especially for large populations, and may not always be practical or feasible. In some cases, a sample study may be a more practical approach, as it can provide accurate information with less time and cost.

However, it's important to carefully consider the sampling design to ensure that the sample is representative of the population, in order to minimize sampling bias.

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The exponential function are y = 10(2)^x, y = 1.270(1.389)^x, y = 5.656(0.957)^x and y = 6.567(0.870)^x.

1. (a) To find the equation of the exponential function that passes through the points (0,10) and (3,80), we can use the formula:

y = a(b)^x

where a and b are constants that we need to find.

First, we can use the point (0,10) to solve for a:

10 = a(b)^0

10 = a

Next, we can use the point (3,80) to solve for b:

80 = 10(b)^3

8 = b^3

b = 2

Therefore, the equation of the exponential function is:

y = 10(2)^x

(b) To find the equation of the exponential function that passes through the points (0.18, 2.8) and (2, 8), we can use the same formula:

y = a(b)^x

First, we can use the point (0.18, 2.8) to solve for a:

2.8 = a(b)^0.18

Next, we can use the point (2, 8) to solve for b:

8 = a(b)^2

Dividing the second equation by the first, we get:

2.857 = (b)^1.82

b = 1.389

Substituting this value of b back into one of the equations to solve for a, we get:

2.8 = a(1.389)^0.18

a = 1.270

Therefore, the equation of the exponential function is:

y = 1.270(1.389)^x

2. (a) To find the equation of the exponential function that passes through the points (2, 5.12288) and (1.92, 2.192), we can again use the formula:

y = a(b)^x

First, we can use the point (2,5.12288) to solve for a:

5.12288 = a(b)^2

Next, we can use the point (1.92,2.192) to solve for b:

2.192 = a(b)^1.92

Dividing the second equation by the first, we get:

0.427 = (b)^(0.08)

b = 0.957

Substituting this value of b back into one of the equations to solve for a, we get:

5.12288 = a(0.957)^2

a = 5.656

Therefore, the equation of the exponential function is:

y = 5.656(0.957)^x

(b) To find the equation of the exponential function that passes through the points (1.192,5) and (5,0.75), we can use the same formula:

y = a(b)^x

First, we can use the point (1.192,5) to solve for a:

5 = a(b)^1.192

Next, we can use the point (5,0.75) to solve for b:

0.75 = a(b)^5

Dividing the second equation by the first, we get:

0.149 = (b)^3.808

b = 0.870

Substituting this value of b back into one of the equations to solve for a, we get:

5 = a(0.870)^1.192

a = 6.567

Therefore, the equation of the exponential function is:

y = 6.567(0.870)^x

3. To find the equation of the exponential function that passes through the points (2.14,7) and (7,205), we can use the same formula as before:

y = a(b)^x

First, we can use the point (2.14,7) to solve for a:

7 = a(b)^2.14

Next, we can use the point (7,205) to solve for b:

205 = a(b)^7

Dividing the second equation by the first, we get:

29.285 = (b)^(4.86)

b = 5.474

Substituting this value of b back into one of the equations to solve for a, we get:

7 = a(5.474)^2.14

a = 0.00061

Therefore, the equation of the exponential function is:

y = 0.00061(5.474)^x

Rounding a and b to the nearest hundred, we get:

a = 0.0006

b = 5.47

So, the final equation of the exponential function is:

y = 0.0006(5.47)^x

We can check if the points (2.14,7) and (7,205) fall on the curve by plugging them into the equation:

y = 0.0006(5.47)^x

When x = 2.14:

y = 0.0006(5.47)^2.14 ≈ 7

When x = 7:

y = 0.0006(5.47)^7 ≈ 205

So, the points do fall on the curve, which means that the equation we found is correct.

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Answer:

the answer is negative 32.95.

Step-by-step explanation:

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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Answer:

A line with a positive slope will slant up from left to right. Rise when calculating slope, the rise is the vertical distance between two specified points.

The sequence is convergent and the sum of the geometric series is 3/2=1.5.

The geometric series was significant in the early development of calculus, is utilized throughout mathematics, and can serve as an introduction to commonly used mathematical tools such as the Taylor series, complex Fourier series, and matrix exponential.

The name geometric series implies that each phrase is the geometric mean of its two nearby terms, in the same way that the word arithmetic series implies that each term.

Given the geometric series 1+1/3+1/9+1/27+...we must verify the value of its common ratio to determine whether the geometric series is convergent or divergent. The value of a geometric series common ratio is used to determine whether it is convergent or divergent.

If |r| <1, the series is convergent.

If |r| >1, the series is divergent.

The common ratio is r.

The common ratio r = (1/3)/1 = (1/9)/(1/3) = (1/27)/(1/9)=1/3 is derived from the given series.

Because r = 1/3, which is smaller than one, the series is convergent.

Because the geometric series tends to infinity, we will apply the formula for calculating a geometric series sum to infinity to get its sum.

The first term = 1

S = a/1-r

a is the first term = 1

r is the common ratio = 1/3

S = 1/1-(1/3)

S= 1/(2/3)

S= 3/2

S=1.5

The sum of the geometric series is 3/2=1.5

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Answer:

2

\(2 \times area \div height \:\)

Step-by-step explanation:

the answer is 5

Answer:

JH=16

Step-by-step explanation:

Hi there!

We are given ΔHIJ, where HI is parallel to KL, and that JK=10, JI=40, and JL=25

We want to find JH

We can use something called the Triangle Proportionality Theorem to help us find JH

The Triangle Proportionality Theorem essentially states that if there is a line parallel to one of the sides of a triangle that intersects the other 2 sides of that triangle, then that segment divides those sides proportionally

In other words, KL is parallel to HI and intersects both HJ and JI, and JK, JH, JL, and JI create a proportion, which is \(\frac{JK}{JH} =\frac{JL}{JI}\)

We can substitute the values that we know into that equation

\(\frac{10}{JH} =\frac{25}{40}\)

We can simplify 25/40 to 5/8.

\(\frac{10}{JH} =\frac{5}{8}\)

Now we can cross multiply (use the means-extreme theorem)

Multiply 10 and 8 together, and set that equal to 5 times JH

80 = 5JH
Divide both sides by 5

16=JH
Hope this helps!
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Answer:

19

Step-by-step explanation:

5*7 - 4*4

PEMDAS says multiply and divide first

35 - 16

Then add and subtract

19

Answer:

19 hope this helps ☜(⌒▽⌒)☞☜(ﾟヮﾟ☜)

Step-by-step explanation:

The value of the expression  5c−3d+11 is 22 when c is 7 and d is 8.

An expression is combination of variables, numbers and operators.

The given expression is 5c−3d+11

Five c minus three times of d plus eleven.

c and d are the variables in the expression

Given that value of c is seven and value of d is eight

c=7 and d=8

Now we have to find the value of the expression when c is 7 and d is 8

Plug in the value of c and d in expression.

5(7)-3(8)+11

Five times seven is 35 and three times of eight is 24, we get

35-24+11

22

Hence, the value of the expression  5c−3d+11 is 22 when c is 7 and d is 8.

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Complete question is given below,

5c−3d+115, find the value of expression when c=7 and d=8

1) The probability that all the marbles are red:

There are 8 red marbles out of a total of 20 marbles (8 + 5 + 7). The probability of drawing 4 red marbles without replacement is:

(8/20) * (7/19) * (6/18) * (5/17) = 0.0392
Rounded to 4 decimal places, the probability that all the marbles are red is 0.0392.

2) The probability that none of the marbles are red:

There are 12 non-red marbles out of 20 total marbles. The probability of drawing 4 non-red marbles without replacement is:

(12/20) * (11/19) * (10/18) * (9/17) = 0.2614
Rounded to 4 decimal places, the probability that none of the marbles are red is 0.2614.

a) The probability of getting all Tails when tossing a fair coin 4 times is calculated by multiplying the probability of getting a Tail in each toss (which is 0.5). So, the probability is:

0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Rounded to 4 decimal places, the probability is 0.0625.

b) To find the probability of getting at least one Head, we can find the probability of not getting any Heads (i.e., getting all Tails) and then subtract it from 1:

1 - 0.0625 = 0.9375
Rounded to 4 decimal places, the probability of getting at least one Head is 0.9375.

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Answer:

either still $15.00

or $12.00

good luck I hope it helped :)

Answer: it is B

Step-by-step explanation:

hope this helps!!

This question requires us to find the future sum of an amount compounded annually at 6.6%.

The formula for the compounded sum is:

Where:

F = Future sum after compounding

P = Principal / Present sum

i = interest rate

n = time (in years)

Therefore, we have:

$1,183.66 is the amount in the account in 11 years

Answer:

4007400000

You move the decimal place to the right 9 places.

Step-by-step explanation:

The required distance around the earth (circumference) in standard form is 40,074,000,000.

A number system is described as a procedure of organizing to express digits. It is the mathematical notation for representing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special exhibit of every digit and defines the arithmetic structure.

Here,
The number 4.0074 x 10¹⁰ means 4.0074 multiplied by 10 to the power of 10. To convert this number to standard form, we simply need to move the decimal point 10 places to the right.

So the answer in standard form is:

40,074,000,000

Thus, the required distance around the earth (circumference) in standard form is 40,074,000,000.

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Greetings.

The answer is (5,4)

Explanation:

Solving by elimination can be done by adding or subtracting of first and two equation.

Find any terms that make themselves = 0.

And that is the y-term.

Our 2y and -2y. If we add each others, we'd get 0 for y-term.

Therefore, we eliminate the y-term first.

\(\left \{ {{-x+2y=3} \atop {3x-2y=7}} \right. \\2x=10\)

If you are wondering how I get 2x = 10 then here's the explanation.

So we simply add/subtract both equations.

We do -x + 3x = 2x

Then +2y - 2y = 0

And 3 + 7 = 10

That's how we get 2x = 10.

Basically Add/Subtract in Vertical way.

\(2x=10\\x=5\)

We may get the x-value but we need to know the y-value too.

Therefore, substitute x = 5 into any given equations. I suggest you to substitute the x-value in any equations with less coefficient value.

I'd rather substitute x = 5 in -x+2y = 3.

\(-x+2y=3\)

Substitute x = 5 in -x + 2y = 3

\(-5+2y=3\\2y=3+5\\2y=8\\y=\frac{8}{2}\\y=4\)

Therefore, when x = 5, y = 4. Since you want the answer in ordered pairs then It's (5,4).

Answer:

75.

Step-by-step explanation:

That would be 2.5 x 30.

2.5 x 30 = 75, so that's your answer. 75.

There are 20 scores in the sample

The formula to compute standard error (SE) of the mean is given by:

SE = s/√n where s is the standard deviation and n is the sample size.

So, we can write the above equation as:√n = s / SE

Using the above equation, we can calculate the sample size as follows: n = (s/SE)²

Given that, mean (m) = 40 variance (s²) = 20SE = 2

We need to calculate the number of scores in the sample using the above values.

So, the standard deviation (s) can be calculated as: s = √s² = √20 = 4√5Substitute the given values in the formula for n and simplify: n = (s/SE)²n = [(4√5)/2]²n = (2√5)²n = 20

Hence, the number of scores in the sample is 20.

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Step-by-step explanation:

angle B+angle C = 180°

= angle B= 180-79

= angle B = 101°

therefore angle A = 79°

angle D = 101°

Answer:

there is no additional information shown

The rate at which the volume of the cone is changing is -5235.98 inches³/s when the radius of the circular cone is 50 inches and the height is 10 inches.

The formula for the circular cone can be given as;

V = 1/3 πr²h

Now we take the derivative with respect to time as follows;

V = 1/3 πr²h

dV/dt = 1/3π d/dt(r²h)

dV/dt = 1/3π [2r(dr/dt) × h + r²(dh/dt)]

Now we substitute the values in this equation as follows;

dV/dt = 1/3π [2 × 50 × 5 × 10 + (50²) (-4)]

dV/dt = 1/3π [ 5000 - 10000]

dV/dt = 1/3π [-5000]

dV/dt = -5235.98

Hence the negative sign indicates that the volume is decreasing over time and the rate of change is calculated to be -5235.98 inches³/s.

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Answer:

Convert all numbers into either decimals, fractions, or percents.

0.8=0.8

8%=0.08

18%=0.18

1/8=0.125

8/18=0.445

0.08<0.125<0.18<0.445<0.8

Convert back to original

8%,1/8,18%,8/18,0.8

If a driver drives at a constant rate of 32 miles per hour, how long would it take the driver to drive 272 miles? It would take the drive hour(s) to drive 272 miles?​

In this problem

Applying proportion

1 /32=x/272

solve for x

x=272/32

Answer:

Answer:

I get 4\(\sqrt{5}\) which is not a choice.

Step-by-step explanation:

Linear regression is a technique used in statistics and machine learning to understand the relationship between two variables and how one affects the other.

In this case, we are interested in understanding the relationship between sales and seasonality. We can use linear regression to create a model that predicts sales based on seasonality. Here's how we can do it First, let's plot the data to see if there is a relationship between sales and seasonality.

We can see that there is a clear pattern that repeats every year. This indicates that there is a strong relationship between sales and seasonality. We can use the following equation: y = mx + b, where y is the dependent variable (sales), x is the independent variable (seasonality), m is the slope of the line, and b is the intercept of the line.

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From the AAS property of congruency the side ab≅ac in the isosceles triangle.

Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.

Now for an Isosceles triangle abc given in the figure

\(\angle bad=\angle cad\)

\(\angle abd=\angle acd\)

\(ad=ad\)   (common side)

So from the AAS property, the triangle \(\Delta bad=\Delta acd\) are congruence

The side ab will also be equal to the side ac.

So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.

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Answer:

The answer would be "A". Converse of the isosceles triangle theorem.

Step-by-step explanation:

You're Welcome :)

Answer:

500 millilitres

Step-by-step explanation:

I hope it will help you

Answer:

Step-by-step explanation:

1 litre = 1000 millilitres

0.5 Litre = 500 milliliters

The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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The graph of the function \(y+3=\frac{5}{2}(x - 5)\) is attached below.

What is graph of the function?

In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

Consider the given function, \(y+3=\frac{5}{2}(x - 5)\)

It is in the form \(y-y_1=m(x-x_1)\)

Where,  \((x_1, y_1)\)is the point and m is the slope.

Graph passes through the point \((x_1, y_1)\) and having slope m.

Here, \((x_1, y_1) = (5, -3), m = \frac{5}{2}\)

Therefore, graph passes through the point (5, -3) and having slope 5/2.

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Problem 4:

4a = -15

4b = -75

4c = 125

Problem 5:

5a = -5

5b = 95

5c = -19 \(\frac{1}{3}\)

Step-by-step explanation:

    See attached for my work.

     For problem 4, we substitute the different values given for x and solve.

     For problem 5, we set the function equal to the given values and solve.