Prove the following:

Answer:

V = 3 × 2 × 6 = 36 cubic centimeters

I don't have access to the applet you are referring to. Can you please provide more information or context about the applet so I can better assist you?

Answer:A frequency table is a type of statistic used to organize and display data.

What is data set?

A data set is a collection of related data records or observations, usually containing information about a particular subject or area of study. Data sets can be used to analyze trends, make predictions, and provide insights into various phenomena. Data sets can be collected from a variety of sources, such as surveys, experiments, simulations, or other research methods. They are typically organized into tables and can include both quantitative and qualitative data.

It is a chart that shows how often something occurs within a given set of data. The categories in a frequency table are the different values or categories of data, and the frequencies are the number of times each category occurs.

Relative frequency is the ratio of the number of times a category occurs in the data set to the total number of values in the data set. It is usually expressed as a percentage or decimal. For example, if the data set contains 20 values and the category "A" occurs 5 times, the relative frequency of "A" is 25%.

Cumulative frequency is the sum of the frequencies up to a given point in the data set. It is used to show how many values are below or above a certain category. For example, if the data set contains 20 values and the category "A" occurs 5 times, the cumulative frequency of "A" is 5. This means that there are 5 values that are below or equal to "A" in the data set.

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Answer:

19.5625

Step-by-step explanation:

[tex]\frac{2(12) + 4(15) + 16 +18 + 2(20) + 22 +3(25) +2(29)}{16}[/tex] = [tex]\frac{313}{16}[/tex] = 19.5625

We add up all the numbers that are represented on the graph and then divide that by 16 because there are 16 numbers.

Helping in the name of Jesus.

Answer:

1.75 Bags of Lemons

Step-by-step explanation:

1 2/5 = 1.4

1 1/4 = 1.25

1.4 * 1.25 = 1.75 Bags of Lemons

The dimension is gioven as 69.26 feet

xy = 1836

This is the area

The cost of fence = 2x + 2y

cost of interior fencing

2x + 4y

C = 20.40(C1) + 12.00(C2)

We have to put the vakues in the formula above

C = 20.40(2x + 2y) + 12.00(2x + 4y)

= 40.80x + 40.80y + 24.00x + 48.00y

= 64.80x + 88.80y

from xy = 1836

y = 1836 / x

We have to put the value in C

C = 64.80x + 88.80(1836/x)

= 64.80x + 164236.80/x

Take the deriveative with respect to x

64.80 - 164236.80/x^2 = 0

x = √(164236.80/64.80)

=  69.26 feet

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The sides show that we have an equilateral triangle

An equilateral triangle is a triangle in which all three sides are of equal length. Since all three sides are equal, all three angles are also equal and measure 60 degrees each.

We know that;

12x - 22 = 10x - 6

Collect like terms;

12x - 10x = -6 + 22

2x = 16

x = 8

Thus the sides of the triangle are;

12(8) - 22 = 74

10(8) - 6 = 74

7(8) + 18 = 74

In the second triangle;

4x - 25 = x + 14

4x - x= 14 + 25

3x = 39

x = 13

Thus the sides are;

4(13) - 25 = 27

13 + 14 = 27

6(13) - 51 = 27

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Answer: 67.65

Step-by-step explanation:

Multiply 3.0*4.1 and you get 12.3

Then take that sum and multiply it by the 5.5

So 12.3*5.5=67.65

Answer:

Step-by-step explanation:

29 ft

7  in

Answer:

3t^2i + 2tj is the correct answer.

Suppose [tex]f(x) =8^{3x[/tex] and [tex]g(x) =8^{4x[/tex], function operations that are correct include the following:

A. (f + g)(x) = [tex]8^{3x} + 8^{4x}[/tex]

B. (f × g)(x) = [tex]8^{7x}[/tex]

C. (f - g)(x) = [tex]8^{3x} - 8^{4x}[/tex]

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = [tex]8^{3x+ 4x}=8^{7x}[/tex]

(f ÷ g)(x) = [tex]8^{3x- 4x}=8^{-x}[/tex]

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The point (-25, 15) lies in the third quadrant above the x-axis and left to the y-axis.

The four quadrants are formed by the intersection of the x-axis and the y-axis on a Cartesian plane. The point (-25, 15) is represented by the coordinates (-25) and (15) on the x and y-axis, respectively. Since the x-coordinate is negative, the point lies to the left of the y-axis.

Similarly, since the y-coordinate is positive, the point lies above the x-axis. Therefore, the point (-25, 15) is located in the third quadrant, which is below the x-axis and to the left of the y-axis. In this quadrant, both the x and y-coordinates are negative.

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Answer:

Step-by-step explanation:

i think that you times the numbers

The length of the arc GH is 13.3 cm

The length of an arc is the distance that runs through the curved line of the circle making up the arc.

The length of an arc is expressed as;

l = tetha/360 × 2πr

tetha = R

R = 360-( 170+80)

R = 360-250

R = 110°

l = 110/360 × 2 × 3.14 × 6.4

l = 4787.2/369

l = 13.3 cm (1.dp)

therefore the length of the arc GH is 13.3 cm

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The  null hypothesis and the alterative hypothesis are [tex]H_0[/tex] : [tex]\mu[/tex] > 1220

[tex]H_\alpha[/tex]: [tex]\mu[/tex] ≤ 1220.

The standardized test statistic is 1.725.

We have,

[tex]\mu[/tex] > 1220,

α = 0.03

[tex]\sigma[/tex] = 202.17

X = 1249.88

n= 300

a) According to the claim and the sample statistics, the null hypothesis and the alterative hypothesis are given by:

[tex]H_0[/tex] : [tex]\mu[/tex] > 1220

[tex]H_\alpha[/tex]: [tex]\mu[/tex] ≤ 1220

b) The standardized test statistic is

=| [tex](\mu[/tex] - X) / ([tex]\sigma[/tex] / √n)|

= |( 1220 - 1249.88) / (202.17/√300)|

= |(-29.88)/ 17.320|

= |-1.725|

= 1.725

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The number shown is not written in scientific notation because the 10 do not raise to power of any number, and exponential on the second value do not represent a particular power.

Scientific notation  can be described as the way of writing very large  as well as very small numbers.

It should be noted that the  number is written in scientific notation which is been done as a result of the number falling between 1 and 10 and then this number is been multiplied by a power of 10 instance of this is 6.5 ✕ 10^8, then we can see that none of the given values have the sa,me expresion with this example.

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The difference in height of short and tall tower is 3 inch.

We have,

length of each block = 3/4 inch

So, the length of 5 block

= 5 x 3/4

= 15/4 inch

and, the length of 9 blocks

= 9 x 3/4

= 27/4 inch

So, the difference in height of short and tall tower is

= 27/4 - 15/4

= 12/4

= 3 inch

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12 baseball and 9 basketball players are there. The frequency of a value in the data is its occurrence.

One approach to display data is in a frequency table. To summarise bigger collections of data, the data are organised and counted. You can examine the distribution of the data across various values using a frequency table. The frequency of a value in the data is its occurrence. We can immediately see how frequently each value appears in a table. 12 baseball and 9 basketball players are there.

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We can see that the means we got from Matlab are close to 3.5 for larger numbers of rolls.

We have,

To generate numbers between 1 and 6 in Matlab, we can use the "randi" command.

To generate 10 numbers, we can use:
```matlab
numbers10 = randi([1, 6], [1, 10]);
mean10 = mean(numbers10);
disp(mean10);
```

To generate 100 numbers, we can use:
```matlab
numbers100 = randi([1, 6], [1, 100]);
mean100 = mean(numbers100);
disp(mean100);
```

To generate 1000 numbers, we can use:
```matlab
numbers1000 = randi([1, 6], [1, 1000]);
mean1000 = mean(numbers1000);
disp(mean1000);
```

After running these commands, we will get the means for generating 10, 100, and 1000 numbers between 1 and 6.

As mentioned in the question, the mean of rolling a die is 3.5.

Therefore,

We can see that the means we got from Matlab are close to 3.5 for larger numbers of rolls.

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The Equation based on the function will be: t = (1/0.07) * ln(P/1,500,000)

Initially, the exponential expression is extracted and formulated as follows:

It should be noted that to obtain e^(0.07t) = P/1,500,000

Secondly, in order to determine the value of t, take the natural logarithm of both sides of the equation such that:

Take ln(e^(0.07t)) = ln(P/1500000)

It can now be represented by 0.07t = ln(P/1500000)

Finally, on dividing both components of the term through 0.07, it results in the isolation of t where:

Equation: t = (1/0.07) * ln(P/1,500,000)

In conclusion, this function's inverse describes the number of years, since the year 1990, for a determined population figure, P - its formation being previously outlined above.

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The line of reflection of the given image is:

A reflection across y = -3

A line of reflection is a line that lies between two identical mirror images, so the distance of any point of one figure from the line will equal the distance of the same point of the mirror image (flipped figure).

The definition above tells us that if we are given two images, such as mirror images of each other, the line of reflection can be determined by calculating the midpoint from any two points of the figures.

Looking at the given image, the center point of the mirror images is seen as y = -3

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Answer:

there gonna have to buy 120 to pay the rent

There is sufficient evidence to suggest that the proportion of homes with only a landline phone is less than 7.4%.

Null hypothesis: p ≥ 0.074

proportion of homes with only a landline phone is greater than or equal to 7.4%

Alternative hypothesis: p < 0.074 (proportion of homes with only a landline phone is less than 7.4%)

where p is the true proportion of homes in the population that have only a landline phone.

(b) Compute the test statistic and p-value assuming the null hypothesis is true, using a significance level of α = 0.05.

To compute the test statistic, we first need to calculate the sample proportion:

p cap= 0.0577

The test statistic is given by:

z = (p cap - p) / √p(1-p)/n

where n is the sample size. Substituting the values, we get:

z = (0.0577 - 0.074) / √0.074(1-0.074)/13323)

= -12.28

the p-value is less than 0.0001, which is much smaller than the significance level of 0.05.

Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the proportion of homes with only a landline phone is less than 7.4%.

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The location of point T on the number line is 3

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

A = -6

B = 9

T = three-fifths of the distance from A to B.

Using the above as a guide, we have the following:

T = A + 3/5 *(B - A)

Substitute the known values in the above equation, so, we have the following representation

T = -6 + 3/5 *(9 + 6)

Evaluate

T = 3

Hence, the location is 3

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Answer:

Step-by-step explanation:

You want solutions to the equation 4sin(θ)² -7sin(θ) -4 = 0 on the interval [0, 2π].

A graph of the left-side expression shows it has a value of 0 at ...

  θ ≈ 3.61 or 5.81.

Using a calculator to check the offered answer choices, we find the values of θ that best satisfy the equation are θ = 3.61 or 5.81. (For this purpose, ±0.02 ≈ 0.)

We can let x = sin(θ). Then the equation is ...

  4x² -7x -4 = 0

  x² -7/4x = 1

  (x -7/8)² = 1 +(7/8)² = 113/64

  x = (7 ±√113)/8

The value (7+√113)/8 is greater than 1, so the only value of x that is useful here is x = (7-√113)/8. The angles in the desired range are ...

  {π - arcsin((7 -√113)/8), 2π +arcsin((7 -√113)/8)} ≈ {3.61, 5.81} . . . radians