Angles of XYZ and ABC are the blank because the triangle are blank and corresponding angles are blank.

In statistical experiments, each time the experiment is repeated different outcome might occur.

Statistics is a scientific method of organizing data by numbers and interpreting them. From a research point of view, there are several roles of statistics, namely:

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The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

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Answer:

x=3

Step-by-step explanation:

48-3x=18x+12-9x

36=12x

x=3

Answer:

x=3

Step-by-step explanation:

3( 16 - x ) = 3 ( 6x + 4 ) - 9x

48 - 3x = 18x + 12 - 9x

(combine like terms)

48 - 3x = 9x + 12

-48 -48

-3x = 9x - 36

-9x -9x

-12x= -36

÷-12 ÷-12

x= 3

Hope this helped you-have a good day bro cya)

The statement that is correct about the two angles that are said to be linear pair would be = <ABC and <CBD are adjacent angles. That is option A

A linear pair exists between angles that are on a straight line that are formed when two lines intersect eachother leading to the formation of the adjacent angles.

The linear angles are there said to be adjacent angles and the sum of these two angles are always = 180°.

Therefore from the given statements, the correct option about the two angles which are linear paired angles is that they are also adjacent to each other.

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The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer: 85

Step-by-step explanation:

\(100-3(3y-4x)\\\\=100-3(3 \cdot 7-4 \cdot 4)\\\\=100-3(21-16)\\\\=100-3(5)\\\\=100-15\\\\=85\)

Answer:

148

Step-by-step explanation:

use bidmas to get final solution

100-3(12-28)

100-3 × (-16)

=148

Step-by-step explanation:

i am not sure but i guess u could do

4+7= 11

11+x=11x

2+17=19

19+x=19x

gcf = 209 sooo umm..

209 fits into eleven 19 times

209 fits into 19 eleven times

ig thats ur answer

Answer:

Right scalene

Step-by-step explanation:

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

To calculate how long it would take to pay off 60% of the debt,

we can use the same facts as in problem #16. Let's go through the steps:

1. Determine the total amount of debt: Find the original debt amount given in problem #16.

2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.

3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.

Now, let's apply these steps to the options provided:

a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.

b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.

c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

After performing the calculations for each option, compare the results with the options provided to find the correct answer.

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The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Answer:

A

Step-by-step explanation:

trust

The circumference of the circle is 6.28 yards.

"It  is the length of the boundary of the circle."

C = 2 × π × r, where 'r' is the radius of the circle.

For given example,

r = 1 yd.

π = 3.14

Using the formula for the circumference of circle,

⇒ C = 2 × π × r

⇒ C = 2 × 3.14 × 1

⇒ C = 6.28 yd.

Therefore, the circumference of the circle is 6.28 yards.

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Answer:

18 is 30% of 60

Step-by-step explanation:

Try to line up percents % and the actual numbers they represent.

number : precent

       60  is 100%

        18  is x %

cross multiply

x·60 = 100·18

divide both sides by 60 to isolate x

x = ((100·18)/60

x = 30

Answer:

3.73

Step-by-step explanation:

The hundredths place is two places to the right of the decimal so the number doesn't need to change.

angle

-

The sum of the angles in a triangle is 180°. We have an equilateral triangle with side angles of 30°. By using algebra, we get :

∠A + ∠B + ∠C = 180°

x° + 30° + 30° = 180°

         x° + 60° = 180°

                   x° = 180° - 60°

                   x° = 120°

Conlude : The measure of x is 120°

___

The new arithmetic mean or mean is 96. Information given that the mean of 4 numbers is 90. 120 has been added to the sum.

We need to calculate the new mean.

Step 1:

To find the sum of the four numbers, lets use the formula:

mean = (sum of all the numbers) / (number of numbers)

If the mean of 4 numbers is 90, then the sum of these 4 numbers is:

90 × 4 = 360

Step 2:

Now that we know the sum of the original 4 numbers is 360, we can find the sum of all five numbers by adding 120. So the new sum is:

360 + 120 = 480

Step 3:

In order to find the new mean, we use the formula for mean once again, but this time we use the new sum and the total number of numbers, which is 5.

mean = (sum of all the numbers) / (number of numbers)

mean = 480 / 5 = 96

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Answer:

10 square meters will have a standard deviation of 1.897.

Step-by-step explanation:

Standard deviation for n instances of a variable:

If the standard deviation for one instance of a variable is \(\sigma\), for n instances of the variable, the standard deviation will be of \(s = \sigma\sqrt{n}\)

The standard deviation of the number of flaws per square yard is 0.6

This means that \(\sigma = 0.6\)

For the 10 square yards will a standard deviation of

\(n = 10\), so:

\(s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897\)

10 square meters will have a standard deviation of 1.897.

Answer:

1

Step-by-step explanation:

Using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2)......

Thus

4\(C_{4}\)

= \(\frac{4!}{4!(4-4)!}\) ← cancel 4! on numerator and denominator

= \(\frac{1}{0!}\) { 0! = 1 ]

= \(\frac{1}{1}\)

= 1

Answer:

\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)

\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)

Answer:

i somehow got 45 but i could be wrong

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

The quadrilateral sum is 360 degrees so if you add up the known degrees you get 325 degrees. Then you would simply subtract 325 from 360 and get 35.

Answer:

Slope = -1

Step-by-step explanation:

We will use 2 points from the graph.\

(0 , 2) and (2 , 0)

formula for slope = y2 - y1/x2 - x1

0 - 2/2 - 0

=-2/2

=-1

The coordinates of the midpoint of line segment PQ after rotating it 90 degrees clockwise around the origin are (5/2, -3/2).

To find the coordinates of the midpoint of the line segment PQ after rotating it 90 degrees clockwise around the origin, we can follow these steps:

Determine the original midpoint of PQ:

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

For PQ with endpoints P(1,5) and Q(-4,0), the original midpoint is:

Midpoint = ((1 + (-4))/2, (5 + 0)/2)

= (-3/2, 5/2)

Rotate the original midpoint 90 degrees clockwise:

To rotate a point (x, y) 90 degrees clockwise around the origin, we swap the x and y coordinates and negate the new x coordinate. So, for the original midpoint (-3/2, 5/2), after rotating 90 degrees clockwise, the new coordinates of the midpoint are:

Rotated Midpoint = (5/2, -3/2)

Therefore, the coordinates of the midpoint of line segment PQ after rotating it 90 degrees clockwise around the origin are (5/2, -3/2).

This means that the midpoint, which was initially in the second quadrant (negative x and positive y), is now in the fourth quadrant (positive x and negative y) after the rotation.

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Answer: 12 1/2

Step-by-step explanation:

Answer:

Yes i agree

Step-by-step explanation: The equation is there for a reason and if an answer does not fir the equation it can be linear so therefore the equation y=7 is not linear.

The two data sets that meet the given conditions for in centers, and variability is in the explanations.

Data Set 1 - Heights of Adults in a City:

Values in Data Set 1 (in inches): 64, 67, 65, 63, 66, 68, 62, 64, 67, 65, 63, 66, 68, 62

Story: The data set represents the heights of randomly sampled adults in a city. The city is known for having a relatively consistent height distribution, with the majority of adults falling within a similar height range. The heights in this data set range from 62 inches to 68 inches, with a center around 65 inches, which is the most common height among the sampled adults. The data set shows relatively low variability, with most heights clustering around the center, indicating that the population of adults in the city has a narrow height distribution.

Data Set 2 - Salaries of Employees in a Corporation:

Values in Data Set 2 (in thousands of dollars): 42, 45, 47, 48, 43, 50, 55, 44, 42, 45, 47, 48, 43, 50, 55

Story: The data set represents the salaries of randomly sampled employees in a large corporation. The corporation has a wide range of job positions, and as a result, the salaries of its employees show a higher variability compared to the heights of adults in the city. The salaries in this data set range from $42,000 to $55,000, with a center around $47,000, which is the most common salary among the sampled employees. The data set shows higher variability, with salaries spread out across a wider range, indicating that the population of employees in the corporation has a more diverse salary distribution. This could be due to differences in job roles, experience levels, and other factors that impact salaries within the corporation.

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Answer:

x ≥ 11

Step-by-step explanation:

Given

2x - 7 ≥ 15 ( add 7 to both sides )

2x ≥ 22 ( divide both sides by 2 )

x ≥ 11