find the relative frequency for the class with lower class limit 27 relative frequency =?
Ages Number of students
15 - 18 3
19 - 22 3
23 - 26 9
27 - 30 5
31 - 34 8 25 - 38 8

Answer:

Graph A shows the system and solution to the system. Option A is correct.

The sum of Sharon's and John's ages is 70. Sharon is times as old as John. The system of equations regarding the problem is determined.

What is the equation?

The equation is the values of two expressions that are equal.

Let the age of Sharon's be x and Jhon's be y.

The sum of Sharon's and John's ages is 70.

x + y = 70  - - - - (1)

Sharon is times as old as John.

x = 4 y

Now put x = 4y in equation 1

4y + y = 70

5y = 70

y = 70/5

y = 14

Now put y = 14 in x = 4y

x = 4*14

x = 56

The solution of a system of equations is (14, 56) shown in graph 1.

Thus, graph A shows the system and solution to the system. Option A is correct.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Step-by-step explanation:

Sharon is 14 years old and John is 56 years old.

The graph of the system of equations is given below where the solution is (14, 56).

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let x be Sharon's age and y be John's age.

From the first sentence, we know that:

x + y = 70

From the second sentence, we know that:

y = 4x

Substituting y = 4x into the first equation, we get:

x + 4x = 70

5x = 70

x = 14

Substituting x = 14 into y = 4x, we get:

y = 4(14) = 56

The graph of the system of equations is given below where the solution is (14, 56).

Therefore,

Sharon is 14 years old and John is 56 years old.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Answer:

Step-by-step explanation:

Check the rate of change in the f(x) column.

The first 3 have linear change (arithmetic sequence) and the last one has different pattern.

Correct option is D

Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

To conduct a test of hypothesis with a small sample, we make an assumption that the population is normally distributed .

What is normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The normal distribution appears as a "bell curve" on a graph.

To know more about normal distribution........

https://brainly.com/question/4079902

#SPJ4

Answer:

D. 0 and 1

Step-by-step explanation:

Hope this helps!

The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius. To find how fast the volume is changing with respect to time, we can differentiate the volume formula with respect to time:dV/dt = (dV/dr) * (dr/dt)

We are given that dr/dt (rate of change of radius) is 0.8 cm/minute. We need to find dV/dt (rate of change of volume) when the radius is 7.1 cm.

Plugging in the values, we have:

dV/dt = (4π/3) * (7.1^2) * 0.8

Calculating this expression, we find that the volume is changing at a rate of approximately 398.19 cm³/minute. Therefore, the volume is changing at a rate of approximately 398.19 cm³/minute when the radius is 7.1 cm.

Learn more about  volume here:- brainly.com/question/28058531

#SPJ11

(a) To calculate the error formula for the confidence interval, you need to multiply 2.03 by the square root of 432. The resulting value is the margin of error (E) for the confidence interval.

1: Calculate the square root of 432.

√432 ≈ 20.7846

2: Multiply 2.03 by the square root of 432.

2.03 * 20.7846 ≈ 42.1810

Therefore, the error formula for the confidence interval is E = 42.1810.

(b) To calculate the error formula for the confidence interval, you need to multiply 1.28 by 4.36 and then take the square root of the result. The resulting value is the margin of error (E) for the confidence interval.

1: Multiply 1.28 by 4.36.

1.28 * 4.36 ≈ 5.5808

2: Take the square root of the result.

√5.5808 ≈ 2.3616

Therefore, the error formula for the confidence interval is E ≈ 2.3616.

In both cases, the calculated values represent the margin of error (E) for the respective confidence intervals.

To know more about confidence interval refer here:

https://brainly.com/question/32278466

#SPJ11

Answer:

No

Step-by-step explanation:

The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.

34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.

34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).

The value of the line integral ∫_c x sin(y) ds is approximately 3.633.

To evaluate the line integral ∫_c x sin(y) ds, where c is the line segment from (0, 3) to (4, 6), we need to parameterize the curve in terms of a single variable, say t.

Let P₁ = (0, 3) and P₂ = (4, 6) be the endpoints of the line segment. Then, the direction vector for the line segment is given by

d = P₂ - P₁ = (4 - 0, 6 - 3) = (4, 3)

So, we can parameterize the curve as

x = 0 + 4t = 4t

y = 3 + 3t

where 0 ≤ t ≤ 1.

Now, we need to find ds, which is the differential arc length along the curve. We can use the formula

ds = sqrt(dx/dt)^2 + (dy/dt)^2 dt

= sqrt(16 + 9) dt

= 5 dt

Therefore, the line integral becomes

∫_c x sin(y) ds = ∫₀¹ (4t) sin(3 + 3t) (5 dt)

= 20 ∫₀¹ t sin(3 + 3t) dt

This integral can be evaluated using integration by substitution. Let u = 3 + 3t, then du/dt = 3 and dt = du/3. Substituting these into the integral, we get

= 20 ∫₃⁶ [(u - 3)/3] sin(u) du/3

= (20/9) ∫₃⁶ (u - 3) sin(u) du

= (20/9) [(-3 cos(3) + sin(3)) + (6 cos(6) + sin(6))]

≈ 3.633

Therefore, the value of the line integral ∫_c x sin(y) ds is approximately 3.633.

Learn more about integral  here:

https://brainly.com/question/18125359

#SPJ11

The represented 'box' size in space, which is 2 feet (24 inches) on a side, is approximately 6.47 ×\(10^(^-^1^7^)\) parsecs.

To calculate the amount of space represented by a box that is 2 feet (24 inches) on a side, we need to convert the length in feet to parsecs. A parsec is a unit of length used in astronomy to measure vast distances.

First, we need to determine the scale factor that relates feet to parsecs. The conversion factor is based on the definition that 1 parsec is approximately equal to 3.09 × \(10^1^6\) feet.

To find the represented 'box' size in space in parsecs, we can use the following calculation:

Represented 'box' size (in parsecs) = Box size (in feet) / Conversion factor

Box size (in feet) = 2 feet

Conversion factor = 3.09 ×\(10^1^6\)feet/parsec

Substituting the values into the equation, we have:

Represented 'box' size (in parsecs) = 2 feet / (3.09 × \(10^1^6\)feet/parsec)

Simplifying the expression:

Represented 'box' size (in parsecs) = 2 / (3.09 × \(10^1^6\)) parsecs

Calculating the result:

Represented 'box' size (in parsecs) ≈ 6.47 ×\(10^(^-^1^7^)\) parsecs

In other words, the box's spatial representation corresponds to approximately 6.47 × \(10^(^-^1^7^)\)parsecs.

It is important to note that this calculation assumes a linear scale and does not account for the complexities of space and the actual distribution of objects. The approximation provides a rough estimate of the spatial representation of the given box size in parsecs.

For more such information on: space

https://brainly.com/question/29020717

#SPJ8

The 90% Confidence interval will be (56.84  - 83.16).

The value of the sample is 30 and

the value of sample mean (X) = 70

The standard error(SE) = 8

for 90% CI in normal distribution ,  we have the z-value = 1.645

and the margin of error will be = ± SE x z-value

                                                = ± 8 x 1.645

                                                = ±  13.16

The confidence interval is given by  = mean ±  Margin of error

∴ The lower limit will  be =  mean - margin of error

                                          = 70 - 13.16

                                          = 56.84

The upper limit will be = mean + margin of  error

                                     =  70 + 13.16

                                     =  83.16

∴ 90% CI of normal distribution is ( 56.84  -   83.16 )

learn more about Confidence interval here :

https://brainly.com/question/2396419

#SPJ4

Answer:

here is my working out to find answer, if u feel that the answer is wrong then do the reverse calculation by putting n value to the equation. hope u understood and stay safe!

All of the overlapping batch means for me is (66.3, 69.0).

Given observations:

54 70 75 62

From the given data, if we choose a batch size of 3, then calculating all of the overlapping batch means for me in total

that is :

= 1/3 * (54 + 70 + 75)

= 66.3

and

= 1/3 * (70 + 75 + 62)

= 69.0

So often, the option c is correct from the given

that is 66.3, 69.0

Hence the answer is all of the overlapping batch means for me is (66.3, 69.0).

To learn more about observations click here https://brainly.com/question/24343193

#SPJ4

The integral of 37/(\(x(lnx)^p\)) converges for p > 1, as the denominator becomes increasingly smaller as x approaches infinity.

The integral of the function \(37/(x(lnx)^p)\) can be calculated to determine whether it converges or diverges. The integral converges if the limit of the integral is finite. This means that the integral can be defined for any real value of x, from 0 to infinity. The value of p must be greater than 1 in order for the integral to converge smaller as x approaches infinity .This is due to the fact that the denominator of the function,\(x(lnx)^p\), will become increasingly smaller as x approaches infinity. Therefore, the integral of the function \(37/(x(lnx)^p)\)converges for values of p greater than 1.

Learn more about integral here

https://brainly.com/question/18125359

#SPJ4

The calculated value of the side length in the triangle is 144

From the question, we have the following parameters that can be used in our computation:

The simiar triangles

Using the theorem of corresponding sides, we hav

GH = 2JK

So, we have

10x - 36 = 2 * 4x

Multiply

So, we have

10x - 36 = 8x

Evaluate

2x = 36

So, we have

x = 18

This means that

GK = 4 * 18

GK = 144

Hence, the indicated side length in the triangle is 144

Read more about triangle at

brainly.com/question/14285697

#SPJ1

Answer:

8

Step-by-step explanation:

The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'

The solution to the system of equations is (4, 4)

The system of equations is given as:

3x - y = 8

x - 2y = -4

Multiply the first equation by 2

6x - 2y = 16

Subtract this equation from the second equation above

6x - x = 16 + 4

Evaluate

5x = 20

Divide

x = 4

Substitute x = 4 in 3x - y = 8

3(4) - y = 8

Evaluate

12 - y = 8

Solve

y = 4

Hence, the solution to the system of equations is (4, 4)

Read more about system of equations at

https://brainly.com/question/14323743

#SPJ1

Answer:

380.54:1007

Step-by-step explanation:

3.59✖️106=380.54

9.5✖️106=1007

380.54:1007

Answer:

\(\huge\boxed{3.779\times10^{11}}\)

Step-by-step explanation:

\(\left(3.59\times10^6\right):\left(9.5\times10^{-6}\right)=\dfrac{3.59}{9.5}\times\dfrac{10^6}{10^{-6}}=\dfrac{359}{950}\times10^{6-(-6)}=\dfrac{359}{950}\times10^{6+6}\\\\=\dfrac{359}{950}\times10^{12}\approx0.3779\times10^{12}=3.779\times10^{11}\\\\\text{used}\ \dfrac{a^n}{a^m}=a^{n-m}\)

Paired data refers to a type of data analysis where two sets of data are paired together based on some criteria or characteristic.

Learn more about the paired sample and independent sample with and example: https://brainly.com/question/22785008

#SPJ11

The requried simplified value of x and y is 25 and 101 for which the two triangles became similar.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
In one triangle, A = 31° and B = 97° . In a second triangle, D = (x+ 6)° and E = (y- 4)°.

For the condition, being the two triangles similar, their corresponding also should be similar.

A = D
31 = x + 6
x = 25

Similarly,
B = E
97 = y - 4
y = 101

Thus, the requried simplified value of x and y is 25 and 101 for which the two triangles became similar.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ1

The coordinates of point B is (3, 5)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point A coordinates = (1, 1)

Point B is 2√5 units away from point A.

This means,

Point B has to lie somewhere on the unit grid such that the distance between A and B is 2√5.

Take Point B = (3, 5)

A = (1, 1)

We see that,

AB = √((3 - 1)² + (5 -1)²)

AB = √(2² + 4²)

AB = √(4 + 16)

AB = √20

AB = √(4 x 5)

AB = 2√5

This is true.

Thus,

The coordinates of point B is (3, 5)

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

Answer:

(3,5) AND (5,3)

Step-by-step explanation:

Draw a compass line in a circle 2[root]5 from A(1,1) and then draw that compass line

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

Learn more at:

https://brainly.com/question/28360812

#SPJ9

Answer:

∠EGA = 123°

∠EHD = 57°

Step-by-step explanation:

Determine the measure of ∠EGA:

Since ∠EGB and ∠EGA make up the angle of a straight line (180°):

∠EGB+∠EGA = 180

57+∠EGA = 180 (given that ∠EGB = 57°)

∠EGA = 123°

Determine the measure of ∠EHD:

∠EHD = ∠EGB (corresponding angles of parallel lines are equal)

∠EHD = 57° (given that ∠EGB = 57°)

Hope this helps :)

136.5 percent chance.

91 percent in one hour

how much percent in 1.5 hour?

we need to find how much percentage is in 0.5 hour

91 divided by 2 = 45.5

91 + 45.5 = 136.5

Am i bad? pls tell

Answer:

6^8

Step-by-step explanation:

When the equation looks like this, you can multiply the exponents to give you 6^8. I think that's the kind of answer you're looking for :)

Hope this helps you!

The closest option is D. $-0

To determine the gain or loss on the repurchase of stock, we need to compare the repurchase price with the original sale price.

Original sale price: 500,000 shares * $50 per share = $25,000,000

Repurchase price: 12,000 shares * $40 per share = $480,000

To calculate the gain or loss, we subtract the repurchase price from the original sale price:

Gain or Loss = Original Sale Price - Repurchase Price

            = $25,000,000 - $480,000

            = $24,520,000

Since the result is a positive value, it represents a gain. Therefore, the company will recognize a gain of $24,520,000 on its income statement.

The given options do not include this exact amount, so the closest option is D. $-0-. However, it is important to note that the gain is not zero but rather $24,520,000.

Read more about gains or losses on:

brainly.com/question/28445484

#SPJ4

Answer:

36F + 28S= 6080

Step-by-step explanation:

36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.

Answer:

y=2x-4

slope=10-6/7-5

=2

y-10=2(x-7)

y=2x-4

The employees represented by the information are employees between under 16 years and adults, and the salaries of these workers

The given parameter is the table of values

From the given table of values, we have the following four columns or fields:

Remove the items in brackets

Under the classification column, we have the fields under 16 years to adult.

The other columns represent the salaries of the workers

Hence, the employees represented by the information are employees between under 16 years and adults, and the salaries of these workers

Read more about table of values at:

https://brainly.com/question/24040786

#SPJ1

Answer:

-3

Step-by-step explanation:

when you have a power to the - it creates a fraction instead of a whole number.

2^3 = 8

2^-3=1/8