Select the correct answer.
Which pair of statements correctly compares the two data sets?

А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.

B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.

C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.

D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.

In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.

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Answer:

a) 1.84m

b) 42.53°

Step-by-step explanation:

First, look though the diagram provided by the question.

And use the formula: \(\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}\)

Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia

To find the length of AD

\(\frac{AD}{sin 67}=\frac{2}{sin 90}\)

\(AD=\frac{2}{sin 90} * sin 67\)

AD= 1.84 m

Find the angle C

\(\frac{sin 90}{2.5}=\frac{sin C}{1.84}\)

sin C=\(\frac{sin 90}{2.5} * 1.84\)

= 0.736

\(sin^{-1} (0.736)=47.39\) degree

So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.

Same as the first question use the formula of sine rule and you will get the answer.

\(\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}\)

\(sinA = \frac{sin90}{2.5} * 1.69\)

=0.676

=42.53°

So, the answer of the angle of CAD is 42.53°

Check the answer:

90°+47.39°+42.53°

=179.92°

=180°(rounded off)(Proved)

That is all from me. I hope you will understand my solution.

Answer:

Step-by-step explanation:

-6y = -5x + 36

y = 5/6x - 6

Answer:

I win 10% = 217.8

I lost 10% = 178.2

217.8 + 178.2 = 396

198 + 198 = 396

396 = 396

I neither gain nor lose anything: V

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Median is not a measure of variability of a data set.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable.

The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets can also be made up of a group of files or documents.

The information supplied in a public open data repository is measured in the open data discipline using data sets. Over one million data sets are collected through the European portal.

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Answer:

π radians

Step-by-step explanation:

*view photo*

Answer:

D

Step-by-step explanation:

2 * sqrt(8) + 2 * sqrt(18) = 14

Answer:

7.8

Step-by-step explanation:

because if you square 5 and 6 you get 25 and 36. Add them together and you get 61. Square 61 to get 7.8102... which you can round to 7.8

The equation to find the hypotenuse of a right triangle is a^2+b^2=c^2

The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

The percentage increase when the price of an item increased is 30%.

From the information, the price of an item yesterday was $130 and today, the price rose to $169.

The increase in the price will be:

= $169 - $130

= $39

Therefore, the percentage increase will be:

= Increase in price / Original price × 100

= 39 / 130 × 100

= 30%

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After considering all the given options we conclude that all the options have a greater value than √3.15 except for π/3, then the greatest value from the lot is Option D, which is  6.2 - √(2/2)

In order to evaluate the greatest expression from the lot that has a higher value than √3.15, we have to apply simplification for every option.

Therefore,

π /3) = 1.04

5 - √(3) = 2.2679

1 1/2 - √(2) = 0.0857

6.2 - √(2/2) = 5.2

Therefore, the expression that is  greater than rest of the option and higher in value in comparison to √3.15 is 6.2 - √(2/2)

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Using Hooke's law the maximum value of |cos(8t)| is 1, so the maximum excursion is 1/6 meters.

To find the spring constant k, we use Hooke's law:

F = -ky

where F is the weight of the object, and y is the distance it is stretched from its rest position. At equilibrium, F = mg = 10 × 9.81 = 98.1 N. Thus,

98.1 = -k × 0.098

k = -1000 N/m

The equation of motion for the system is given by:

my'' + ky = F(t)

Substituting the given values, we get:

10y'' + (-1000)y = 100cos(8t)

y'' - 100y = 10cos(8t)

with initial conditions y(0) = 0 and y'(0) = 0.

The characteristic equation is r² - 100 = 0, with roots r = ±10i. The complementary solution is therefore y_c(t) = c1cos(10t) + c2sin(10t).

For the particular solution, we assume a form of yp(t) = Acos(8t) + Bsin(8t), and substitute it in the differential equation to get:

-64Acos(8t) - 64Bsin(8t) - 100(Acos(8t) + Bsin(8t)) = 10cos(8t)

Solving for A and B, we get A = -1/6 and B = 0. Thus, the particular solution is yp(t) = (-1/6) × cos(8t).

The general solution is therefore y(t) = c1cos(10t) + c2sin(10t) - (1/6)*cos(8t). Applying the initial conditions, we get c1 = 0 and c2 = 0, so the particular solution is simply y(t) = (-1/6) × cos(8t).

The maximum excursion from equilibrium can be found by taking the absolute value of y(t) and finding its maximum value. We have:

|y(t)| = (1/6) × |cos(8t)|

The maximum value of |cos(8t)| is 1, so the maximum excursion is 1/6 meters.

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The solution set is shaded above the boundary lines for inequalities 1, 2, 4, and shaded below the boundary lines for inequalities 3, 5, 6.

To analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary line, let's examine each inequality one by one:

y > -1.4x + 7

The inequality represents a line with a slope of -1.4 and a y-intercept of 7. Since the inequality is "greater than," the solution set is the shaded region above the boundary line.

y > 3x - 2

Similar to the previous inequality, this one represents a line with a slope of 3 and a y-intercept of -2.

Since the inequality is "greater than," the solution set is the shaded region above the boundary line.

y < 19 - 5x

This inequality represents a line with a slope of -5 and a y-intercept of 19. Since the inequality is "less than," the solution set is the shaded region below the boundary line.

y > -x - 42

The inequality represents a line with a slope of -1 and a y-intercept of -42. Since the inequality is "greater than," the solution set is the shaded region above the boundary line.

y < 3x

This inequality represents a line with a slope of 3 and a y-intercept of 0. Since the inequality is "less than," the solution set is the shaded region below the boundary line.

y < -3.5x + 2.8

This inequality represents a line with a slope of -3.5 and a y-intercept of 2.8.

Since the inequality is "less than," the solution set is the shaded region below the boundary line.

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Answer:

y=7miles

Step-by-step explanation:

The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.

We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.

21-14=7miles

Answer:

y=7 mi

Step-by-step explanation:

If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess  that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7

The market price of the watch after a discount of 10% is  $3500   .

In the question ,

it is given that

the price at which the trader sold the wrist watch = $3150

the amount of discount given by trader = 10% ,

we need to find the market price of the watch ,

let the market price of the watch be "x" .

so , the formula that can be used to calculate the market price is

selling price = market price - (discount percent)×(market price)

Substituting the values , we get

3150 = x - 10% of x

3150 = x - 0.10x          ....because 10% = 0.10

(1 - 0.10)x = 3150

0.90x = 3150

Dividing both sides by 0.90 , we get

x = 3150/0.90

x = 3500

market price is $3500  .

Therefore , The market price of the watch after a discount of 10% is  $3500   .

The given question is incomplete , the complete question is

A trader sold a wrist watch for $3150 after giving a 10% discount. Find the marked price of the watch ?

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Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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Answer:

The equation for the price, as a function of time in hours is:

P(x) = 20*x    for 0 ≤ x ≤ 2

P(x) = 40 + 10*(x - 2)  for  2 ≤ x

Now, we want to evaluate this function in 40 mins.

we know that 1 hour = 60mins.

Then 40 mins = (40/60) hours = 0.67 hours.

Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:

P(0.67) = 20*0.67 = 13.4

So in 40 mins, the charge will be 13.4 pesos.

Answer:

Hi there!

Your answers are:

As the pizza size increases, the topping price increases and the base price increases

The small pizza:

Base price: $9.49

Price per topping: $1.39

The medium pizza:

Base price: $11.49

Price per topping: $1.59

The large pizza:

Base price: $13.49

Price per topping: $1.79

The XL pizza:

Base price: $15.49

Price per topping: $1.99

Step-by-step explanation:

small:

15.05- 12.27 = 2.78 for TWO toppings

2.78/ 2 = 1.39$ per 1 topping

12.27 - 2.78 = 9.49$ for a plain pizza

medium:

17.85-14.67 = $3.18 for TWO toppings

3.18/2 = $1.59 per 1 topping

14.67- 3.18= $11.49 for plain pizza

large:

20.65-17.07= $3.58 for TWO toppings

3.58/ 2 = $1.79 per 1 topping

17.07- 3.58= $13.49 for plain pizza

xl:

23.45- 19.47= $3.98 for TWO toppings

3.98/2 = $1.99 per 1 topping

19.47- 3.98 = $15.49

I hope this makes sense! Let me know if you need clarification!

To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.

Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.

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Answer:

6:7 is the answer to the question

The given expression is

There are three terms in this expression

Answer:

Step-by-step explanation:

p:c=10:14

p/c=10/14

p/7=10/14

p=7(10)/14

p=5

Answer:

5 plates

Step-by-step explanation:

First, make two fraction bars, one with the ratio 10/14 the other with the top blank and 7 on the bottom. Next, find how much to multiply 7 by to get 14. Use the number you get to divide 10 by. Then you should get 5. Hope this helped!

Juan has enough lumber to make five shelves and he has 2.2 feet of lumber left.

The piece of lumber is 18 feet long that Juan bought.

Now, we know each shelf is 2.5 feet long.

Then, the number of shelves x that can be made will be:

18 = 2.5(x)

x = 18 / 2.5

x = 7.2 feet

(a) Therefore, Juan has enough lumber to make five shelves.

After creating five shelves, the leftover lumber will be:

= 7.2 feet - 5 feet = 2.2 feet of lumber.

(b) One way to find, if Juan can make 5 shelves is by dividing the piece of lumber he bought by the length of lumber required to create one shelf.

Another way to know if Juan has enough lumber to make five shelves is by adding the amount need to create a shelf 5 times. Then check if Juan has enough lumber or not.

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Answer:

y=64

Step-by-step explanation:

3y /4 =48

( 3y 4 )*(4)=(48)*(4)

3y=192y

3y/3=192/3  =y=64

Answer:

57°

Step-by-step explanation:

\(\angle XYZ \: and \: \angle NOP \: are \: complementary. \\

\therefore m\angle XYZ + m\angle NOP = 90\degree \\

\therefore m\angle XYZ + 33 \degree = 90\degree \\

\therefore m\angle XYZ = 90\degree - 33 \degree \\

\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}

\)

Answer:

(-3, 4)

Step-by-step explanation:

Answer:

(-3,4)

Step-by-step explanation:

(-10,10)                            (-10,4)

(-3,10)                               (-3,4)

Imagine this is a rectangle on a graph

The (-10) (Top left), comes from the y axis -10.

The (-3) (Bottom left), comes from the y axis -3

The (4) (Top right), comes from the x axis 4.

The remaining corner is on the y axis -3 and on the x axis 4

So;

(-3,4)