If the sum of the first 10 terms and the sum of the first 100 terms of a given arithmetic progression are 100 and 10 , respectively, then the sum of the first 110 terms is

Answer:

16, 18, 20

Step-by-step explanation:

16, 18, 20 es igual a 54, así que esa será tu respuesta.

¡espero que esto haya ayudado!

Answer:

Angle 1 = 40

Angle 2 =  80

Angle 3 = 60

Step-by-step explanation:

Angle 1 + Angle 2 + Angle 3 = 180

Let's substitute angle 1 with n :

Angle 1 = n

Angle 2 = 2(n)

Angle 2 = 2n

Angle 3 = n + 20

Now substitute the new expressions for each angle back into the equation above :

n + 2n + n + 20 = 180

Let's solve for n :

Collect like terms :

4n + 20 = 180

Subtract 20 from both sides :

4n = 160

Divide both sides by 4 :

n = 40

Substitute the value of n back into the angles :

Angle 1 = n = 40

Angle 2 = 2n = 80

Angle 3 = n+20 = 60

Hope this helped and answered your question (which you didn't actually put up) and have a good day

Answer:

\(\boxed{=2x(x^2+6y^2)}\)

Step-by-step explanation:

Remember:

\((a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\\)

If Two signs that scores are significantly different then (a) the error bars of group will not overlap

Error bars are graphical representations of data variability that are used to indicate the error or uncertainty in a reported measurement on graphs.

The estimated error in a measurement is indicated by error bars. In other words, an error bar represents the degree of uncertainty in a value.

When the standard deviation error bars overlap significantly, it is an indication that the difference is not statistically significant. To reach a conclusion, you must conduct a statistical test.

When the standard deviation error bars overlap even less, it indicates that the difference is unlikely to be statistically significant.

For significantly different group , we also have p-value greater than 0.05

So, Option (b) is incorrect.

Hence, (a) The error bars of the groups will not overlap is correct

To know more about Error bars here

https://brainly.com/question/15859938

#SPJ4

Chimerism, the presence of two or more distinct sets of DNA within an individual, can cause problems in cases other than parentage, such as forensic investigations and identification in criminal investigations.

In forensic investigations, chimerism can complicate DNA profiling and identification processes, as it may result in mixed DNA profiles that make it challenging to determine an individual's true genetic identity. This can create difficulties in accurately linking suspects to crime scenes or identifying victims.

In transplant compatibility assessments, chimerism can lead to inconclusive results when determining whether a potential donor's DNA matches the recipient's DNA. The presence of two or more sets of DNA may affect the reliability of compatibility tests, potentially impacting the success of organ or tissue transplants.

In criminal investigations, chimerism can raise issues when DNA evidence is used to establish a suspect's presence at a crime scene. The presence of multiple DNA profiles within an individual may create doubt or confusion when attempting to match DNA evidence to a specific person, potentially affecting the outcome of criminal cases.

In summary, chimerism can cause problems in forensic investigations, transplant compatibility assessments, and criminal investigations by introducing complexities and uncertainties into DNA profiling and identification processes.

Learn more about tissue transplant here:

https://brainly.com/question/30154469

#SPJ11

ans (-3,0):(3,0)

I'm not sure but hope this helps

Given Function : f(x) = x² - 9

We can notice that : The function f(x) is zero for only two values of x and they are -3 and 3

⇒   f(-3) = (-3)² - 9 = (9 - 9) = 0

⇒   f(3) = (3² - 9) = (9 - 9) = 0

⇒   The ordered pairs of the zeroes : (-3 , 0) ; (3 , 0)

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

Learn more about Gaussian distribution at: brainly.com/question/29734279

#SPJ11

Answer:

0.7890176%

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

The probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%

We have given that,

First, there is a 64% chance of failing a test.

We have to determine the probability

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.

You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

46

Step-by-step explanation

The correct statement that will give the given output is sort(vecPeople.begin(), vecPeople.end(), Greater);. Option C is correct.

This statement sorts the vector vecPeople in ascending order, based on the second element of each pair, using a custom comparison function called Greater. This function compares the second element of two pairs and returns true if the second element of the first pair is greater than the second element of the second pair.

Since the second element of each pair in the vector contains the age of a person, this statement sorts the vector by age, from youngest to oldest.

Option (a) is incorrect because vecPeople is not a valid argument to the sort() function, and vecPeople is not a valid comparison function.

Option (b) is incorrect because the arguments to the sort() function are reversed, and Greater is not a valid argument.

Option (d) is incorrect because the arguments to the sort() function are reversed, and vecPeople is not a valid comparison function.

Therefore, option C is correct.

Learn more about output https://brainly.com/question/31260030

#SPJ11

If the first bus is boarded at a rate of 15 people per minute, the domain of the function is; (15 ≤ x ≤ 45)

We are told that;

Total number of Juniors at Smithers High School that are taking a class trip = 130

Number of buses taking each student to their destination = 3 buses

Capacity of each bus = 45 people

Now, if the function  f(x) describes the total number of people on the first

bus, where x is the number of minutes spent loading the bus.

Then since the maximum number of people on the first bus is 45, then it means that the domain of the function is;

(15 ≤ x ≤ 45)

Read more about Inequality Word Problems at; https://brainly.com/question/25275758

#SPJ1

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

To learn more about : triangle

https://brainly.com/question/17335144

#SPJ11

Answer:

Step-by-step explanation:

51 feet / 1.5 = 34 bags needed minimum

But trini needs more than 51 bags so:

X>34 is the answer

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

The mean is 5.78, the median is 3, and the mode is 3 for the given data set.

To find the mean, median, and mode of the given data set [11, 0, 16, 3, -9, 10, 3, -2, 10], we can follow these steps:

Mean: The mean is calculated by finding the sum of all the values and dividing it by the total number of values. Adding up the numbers, we get 11 + 0 + 16 + 3 + (-9) + 10 + 3 + (-2) + 10 = 52. Dividing 52 by the total number of values (9), we get the mean as 5.78 (rounded to two decimal places).

Median: To find the median, we need to arrange the numbers in ascending order. After sorting the numbers, we have: -9, -2, 0, 3, 3, 10, 10, 11, 16. As we have an odd number of values, the median is the middle value. In this case, the median is 3.

Mode: The mode represents the value(s) that appear most frequently in the data set. In this case, the mode is 3, as it appears twice, which is more than any other value.

Therefore, the mean is 5.78, the median is 3, and the mode is 3 for the given data set.

for such more question on mean

https://brainly.com/question/14532771

#SPJ11

Answer:

He can build 20 houses. He will have 5 left over.

Step-by-step explanation:

8 x 20 = 160

165 (total blocks) - 160 (highest possibility) = 5 (not enough to build a house, which is why they are left over)

\( \frac{(6x - 4)(3 - 2x)}{(4x - 6)} = \frac{2(3x - 2)(3 - 2x)}{2(2x - 3)} \)

\( \frac{2(3x - 2)(3 - 2x)}{2(2x - 3)} = \frac{(3x - 2)(3 - 2x)}{(2x - 3)} \)

\( \frac{(3x - 2)(3 - 2x)}{(2x - 3)} = \frac{ - (3x - 2)(2x - 3)}{(2x - 3)} \)

\( \frac{ - (3x - 2)(2x - 3)}{(2x - 3)} = - (3x - 2)\)

\( - (3x - 2) = 2 - 3x\)

The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

To know more about average number here

https://brainly.com/question/14056835

#SPJ4

Answer:

SSS similarity postulate

Step-by-step explanation:

Since all sides are similar and proportional, so the SSS similarity postulate !

Answer:

<LHK= 101

Step-by-step explanation:

straight lines are 180 degrees

to find LHK take LHG and subtract it from 180

180-79=101

The exponential equation is y = 2,642(2.5)^x. x represents the number of days.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Given that a video was released to the public, it already had 2,642 views.

One day later, the number of views increased to 3,963.

The number of viewers after one day is ( 3,963 + 2,642 ) = 6,605

Assume that the exponential function y = a(b)^x represents the number of viewers. x represents the number of days.

Putting x = 0 and  y = 2,642 in y = a(b)^x:

2,642 = a(b)⁰

a = 2,642

Putting x = 1 and  y = 6,605 in y = a(b)^x:

6,605 = a(b)¹

Putting a = 2,642:

6,605 = 2,642(b)¹

b = 6,605/2,642

b = 2.5

To learn more about  exponential function, click on the below link:

https://brainly.com/question/27733251

#SPJ1

The average balance for the 5 day period is 27.

The average of anything is given by adding all the numbers and dividing the sum of total number of items. The average daily balance is given by adding up your balances from all of the days throughout the period, dividing them by the total number of days during the period.

Now, Adding the all five balances, we get

Sum = (-21)+(-55)+102+125+(-16)

= -21-55+102+125-16

= 135

Now, Dividing the sum by total number of days i.e. 5,

Average \(=\frac{135}{5}\)

= 27

Hence, the average balance for the 5 day period is 27.

To learn more about the Average Balance visit here:

https://brainly.com/question/1548973

#SPJ9

She can cover 8 chests every 4 hours

The ratio is

We need to find how many chests she can cover in 6 hours

We will use the equivalent ratio to solve it

Where x is the number of chests

Use the cross multiplication

Divide

Answer:

12.699

Step-by-step explanation:

i think if you do 26-22.4, you get the leg of the small triangle which is 3.6

then do Pythagorean theorem

3.6^2 + x^2 = 13.2^2

12.96 +x^2 = 174.24

174.24-12.96

x^2 = 161.28

take square root

x = 12.699

Answer:

27

I'm not sure how to explain it

Point G is two, which divides the directed line segment from D to F into a 5:4 ratio at that place.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).

The variables x and y are related to coordinates on the line in the linear equation y = mx + c.

The formula y = mx + c yields a result for y when we enter a value for x.

As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.

According to our question-

From negative five to positive ten is a number line.

Points D and F are at -2 and +7, respectively.

The distance between point D and F is,

=9

If Point G divides the directed line segment from D to F into a 5: 4 ratio, then,

=2

Hence, The directed line segment from D to F is divided into a 5:4 ratio at point G by the number 2.

learn more about straight-line equations click here:

brainly.com/question/25969846

#SPJ4

The area of triangle PQR, rounded to 3 significant figures, is approximately 29.6 square centimeters.

To find the area of triangle PQR, we can use the formula:

Area = 1/2 * PQ * QR * sin(R)

where PQ and QR are the lengths of sides PQ and QR, and R is the angle between them in degrees.

Substituting the given values, we get:

Area = 1/2 * 8.5 cm * 6.8 cm * sin(68.4°)

Using a calculator, we can find that:

sin(68.4°) ≈ 0.933

So, the area of the triangle is:

Area ≈ 1/2 * 8.5 cm * 6.8 cm * 0.933

Area ≈ 29.63 cm²

Rounding this to 3 significant figures, we get:

Area ≈ 29.6 cm²

Therefore, the area of triangle PQR, rounded to 3 significant figures, is approximately 29.6 square centimeters.

Learn more about area

https://brainly.com/question/27683633

#SPJ1

Step 1

The prism consist of two triangles of a height of 5cm and a base of 12cm, rectangles of dimensions of 5cm by 15cm, 12cm by 15cm, and 13cm by 15cm.

Step 2:

Step 3

Total surface area = 60 + 450 = 510

Final answer

C) 510