three numbers are in A.P. the difference between the first and the last is 8 and the product of these two is 20. find the numbers​

Answers

Answer 1

9514 1404 393

Answer:

  10 and 2

Step-by-step explanation:

Essentially, you're being asked to find factors of 20 that have difference of 8. 20 can be factored as ...

  20 = 20×1 = 10×2 = 5×4

The factors 10 and 2 have a difference of 8.

The numbers are 10 and 2.


Related Questions

Find the mean, median, mode, and the range. The picture is for number 12 to 15



1. 6, 9, 2, 4, 3, 6, 5


2. 453, 345, 543, 345, 534


3. 8, 2, 9, 4, 6, 8, 5


4. 1, 15, 9, 12, 18, 9, 5, 14, 7


5. 3, 9, 4, 3, 9, 4, 2, 3, 8


6. 157, 124, 157, 124, 157, 139


Use the picture above to answer the exercise 12 to 15

12. What is the mode?

13. What is the median?

14. What is the mean?

15. If the price of swimming lessons went up to six dollars would it change the

a. Mode?

B. Median?

C mean?

D. Range?



Answers

Answer:

1)

mean - 5

median - 5

mode - 6

range - 7

2)

mean - 444

median - 453

mode - 345

range - 198

3)

mean - 6

median - 6

mode - 8

range - 7

4)

mean - 10

median - 9

mode - 9

range - 17

5)

mean - 5

median - 4

mode - 3

range - 7

6)

mean - 143

median - 148

mode - 157

range - 33

12) 9

13) 10

14) 10, 5

15)

If the price of swimming lessons went up to mean and mode would change.

mean - 9.66666667 (9.6 repeating)

median - 10

mode - 10

range - 13

which sequence of transformations map triangle RST to triangle LMN? D0.5

Answers

Answer:

yeah my boy i think your right

Step-by-step explanation:

maths
[tex] \sqrt[3]{1 + x} + \sqrt[3]{1 - x} = \sqrt[3]{2} [/tex]

Answers

Answer:

X=0,1

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical


Write the following numeral in words.
616 845

Answers

Answer:

six hundred sixteen thousand eight hundred forty five

Step-by-step explanation:

Answer: Six hundred sixteen thousand eight hundred fourty five

!!TIP: To write numbers in letters, its spelled the same as the letters would have been said for example 66 - sixty six.

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 49 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased

Answers

Answer:

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound

This means that [tex]\mu = 1, \sigma = 0.2[/tex]

Sample of 49:

This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]

What is the probability that the amount dispensed per box will have to be increased?

This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]

[tex]Z = -2.19[/tex]

[tex]Z = -2.19[/tex] has a pvalue of 0.0143

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

PLEASE ANSWER ASAP! NO SCAM LINKS! OR REPORTED.

Answers

Answer:

im pretty sure its A

Step-by-step explanation:

Hi pls help ASAP no links or you will be reported and terminated. Pls and Thx.

Answers

perimeter- 10x+2x^2
area- ?

Answer:

Area = [tex]x^{2} +2x+2[/tex]

Perimeter = [tex]4x+1[/tex]

Step-by-step explanation:

So the shape is made up of one [tex]x^{2}[/tex], two xs and two 1s

add that together you get [tex]x^{2} +2x+2[/tex]

Starting at the top left you have a side length of 1. Then it goes down 1 before an x. Then you have up 1 and over 1, which is 2. Going down the right side you have a 1 and an x. Then the bottom is 1, x, and 1. You go up another x and then 1 to meet back where you started.

In total that is [tex]4x+1[/tex]

The annual profits for a company are given in the following table, where x represents
the number of years since 2013, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, find the projected profit
(in thousands of dollars) for 2023, rounded to the nearest thousand dollars.
Years since 2013 (x)
Profits (y)
(in thousands of dollars)
0
57
76
2
63
3
107

Answers

20363 is your answer

Someone please helppppp

Answers

Answer:

the correct answer is b) 4

Jacqueline is buying a pair of pants for $30. They are on sale for 15% off, and she has a coupon for 10% off the sale price. How much does she pay for her pants?

Answers

Answer:

$22.50

Step-by-step explanation:

what is 1/4 compared to 25%

Answers

Answer:

i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25

Step-by-step explanation:

if it doesn't i'm sorry for waisting ur time-

1/4 is equal to 25%. I know this because 1/4 is equal to 25/100.

Correct me if I’m wrong.

what is the measure of .

Answers

I believe b. 52 is the answer.

What is the equation of the following line? Be sure to scroll down first to see all answer options. (2,10) (0,0)​

Answers

Answer: y=5x

Step-by-step explanation: Slope= 10/2=5 Plugged it in equation y=mx+b and solved for b to get b=0

What is the median of 8,9,10,1,6,4,7,6

Answers

Answer:

The median is 6.5

Step-by-step explanation:

To find the median, first organize the numbers from least to greatest:

1, 4, 6, 6, 7, 8, 9, 10

The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.

To solve for this, we have to find the average of the numbers.

Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).

(6 + 7)/2

13/2

6.5

Is this table proportional?

Answers

Answer: y=3x

Step-by-step explanation:

2x3=6

3x3=9

5x5=15

6x3=18

Answer: I think it is Y=3x

Solve for a.
2
9
х
36

Answers

Answer:

a=29×36

Step-by-step explanation:

just do 29×36 to get your answer

Find the area of a circle with radius, r = 41cm. Give your answer rounded to 3 SF.

i dont know how to work this out :(

Answers

Answer:

5283.143 cm^2

Step-by-step explanation:

Area =πr^2

22/7*41*41

=5283.143cm^2

Please please please help I will mark you brainiest

Answers

Answer: b then!

Step-by-step explanation:

please please help me find the volume and surface area i’ll give brainliest

Answers

Answer:

Area: 272ft²

Volume = 82.6236447189ft³

Step-by-step explanation:

AREA

The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:

Area of base = area of square = L² = 8² = 16ft²

Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²

There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²

VOLUME

The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.

We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:

A²=B²+C²

16²=(8/2)²+h²

256=16+h²

h=√240

h=15.4919333848ft

Knowing h, we can find the volume:

Volume = (a²)(h/3)

Volume = (8²)(15.4919333848/3)

Volume = (16)(5.16397779493)

Volume = 82.6236447189ft³

A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.

Select all the correct answers.

Answers

Answer: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).

option (A) and (D) are correct.

It is given that height of 50 feet and graph is given.

It is to find f(x).

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph shows that A = π/4.

B = 10, so the period = 2π/10 = π/5.

sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.

So, the option are (A) and (D).

Learn more about graph here:

https://brainly.com/question/23004564

#SPJ2

besides 9 and 1 what is one factor of 9​

Answers

Answer:

3

Step-by-step explanation:

3 times 3 is equal to nine

Have a good day!

Answer:

3

Step-by-step explanation:

This is the answer.:)

The factors of 9 are : 1, 3, 9.

Tom has 2 1/2 times as many cards as Harry. Together they have 98 cards. How many cards do they each have?

Answers

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

Find the value of x in the diagram

Answers

Answer:

x = 21

Step-by-step explanation:

Based on the inscribed angle theorem, we would have:

120° = 2(3x - 3)°

Solve for x

120 = 2*3x - 2*3

120 = 6x - 6

Add 6 to both sides

120 + 6 = 6x

126 = 6x

Divide both sides by 6

126/6 = x

21 = x

x = 21

Della needs fabric that is 12.4 yards long. If the store sells fabric in meters, how much fabric will she need?​

Answers

The answer is 11.334 meters
12.4 divided by 1.094=11.334

Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.

Answers

Answer: Hey there !! The answer is 2.

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

The absolute mean deviation is 2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

We have,

10, 9, 3, 8, 10

We first find the mean of 10, 9, 3, 8, 10

Mean = (10 + 9 + 3 + 8 + 10) / 5

Mean = 40 /5 = 8

Data sets

10            | 10 - 8 |     2

9              | 9 - 8 |      1

3              | 3 - 8 |      5

8              | 8 - 8 |      0

10             | 10 - 8 |    2

Mean absolute deviation

= (2 + 1 + 5 + 0 + 2) / 5

= 10 / 5

= 2

Thus the absolute mean deviation is 2.

Learn more about absolute mean deviation here:

https://brainly.com/question/10528201

#SPJ1

To find the distance between a point X and an inaccessible point , a line segment XY is constructed. Measurements show that XY = 975m , angle XYZ=22^ 42^ prime and angle YZX=105^ 18^ prime . Find the distance between X and Z to the nearest meter.

Answers

Answer:

sorry i didn't not answer

Help!
This is the problem


1+10k+1-7k

Answers

Answer:

3002

Step-by-step explanation:

Very simple, just add them up.

Help plssss!!!!!! I really need help

Answers

The answer for the following question is option A.

I am pretty sure the answer is A

The hypotenuse of a 30°-60°-90° triangle is 6.
A. Find the lengths of the two legs of the triangle.
B. Find the perimeter.

Answers

Answer:

H=6 sin 30=3cm

Step-by-step explanation:

3²+x²=6²

X²=36-9

√x²= 27

X=5.1962

Per=6+5.1962+3= 15.1962cm

Given the following information about two triangles, triangle CAT and triangle DOG:

Which postulate can be used to prove triangle CAT and triangle DOG are congruent?

SSS Postulate
SAS Postulate
SSA Postulate
ASA Postulate
AAS Postulate

Choose all that apply

Answers

Answer:

1st and 3rd im pretty sure

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

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