The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults
A triangular prism and a triangular pyramid have congruent bases and heights. What is the ratio of
the volume of the prism to the volume of the pyramid? Show your work.
Answer:
if a pyramid and a prism have the base and height also their volumes are always in the ratio 1:3
step by step
as the volumes of prism is 108 cubic meters
1/3 x 108 = 36 cubic meters
Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula.
2x^2+7x-4=0
[tex]2x^2 + 7x -4=0 \\<=> 2x^2+8x-x-4=0 \\<=>2x(x+4)-(x+4)=0\\<=>(x+4)(2x-1)=0\\<=> x+4=0 /or/ 2x-1=0\\<=>x=-4/or/x=\frac{1}{2}=0.5[/tex]
ok done. Thank to me :>
i need help on this asap pls help??
Answer:
Step-by-step explanation:
Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
a lab has two bacterial cultures. culture a contains 4 x 10^4 and culture b contains 8x10^6 bacteria. how many times greater is culture b than culture a
write the L.C.M of 5,8
From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.
Required Answer :-2 | 5, 8
_______
2 | 5, 4
_______
2 | 5, 2
_______
5 | 5, 1
_________
1, 1
2×2×2×5 = 40
Additional information :-We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?
Answer:
Step-by-step explanation:
The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.
Which choice shows (50+30)+40 correctly written using associative property and then correctly simplified
Answer:
The first option as you do what is in parentheses first.
Step-by-step explanation:
Help help help help help math math math
Check the picture below.
Answer:
x=33
Step-by-step explanation:
what is the explanation
Answer:
the explanation of wot
Step-by-step explanation:
If you give an explanation of something, you give details about it or describe it so that it can be understood.
The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answer:
Game #1B is the correct answer i guess so
Line k passes through the point (6, -7) and has a slope m= -1/2.
Which is the equation of a line that is perpendicular to line k and passes through the
point (-4, 9)?
Answer:
y = 2x + 17
Step-by-step explanation:
lmk if you want an explanation
Meanwhile, plants are absorbing_(H2O) through their roots and storing it within their cells
The plants intake Water and Carbon Dioxide those are the reactants And after the plant is exposed to light energy also known as sunlight it produces glucose and oxygen which is the process of photosynthesis and and it takes place in the chloroplast of a plant cell.
Step-by-step explanation:
H²O+CO²-Sunlight-C⁶H¹²O⁶+O²
Chemical Equation for Photosynthesis
What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps
Answer:
laps per minute
Step-by-step explanation
because it is asking you to find the unit of laps per minute.
Please help me ASAPPPPP
Answer:
20 0-6
Step-by-step explanation:
x= (2,0)
y= (0,-6)
3 3/4 divided by 1 1/3 in fraction answer
Answer: 4/3
Step-by-step explanation:
2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ
UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol
at a community college a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was determined that 177 studied in the library , 142 studied in the cafeteria, 82 studied in both the library and the cafeteria. Of those students surveyed, how many studied only in the library?
Answer:
177
Step-by-step explanation:
Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.
This means that 65.56% of the students studied at the library primarely.
Answer:
95
Step-by-step explanation:
Use a Venn diagram;
2 places are identified where students may study, the library and the cafeteria so there are 2 circles;
One represents library (L) and the other is cafeteria (C);
82 goes in the overlap since 82 study in both places;
177 study in the library, but this includes the 82 that also study in the cafeteria, so 177 - 82 will give us the number who study only in the library, i.e. 95;
If we wanted to find the number who study only in the cafeteria, it would be similar;
142 study in cafeteria, including the 82 who also study in the library, therefore 142 - 82 will give the number who only study in the cafeteria, i.e. 60;
The number who study in neither the library nor the cafeteria would be the total number of students surveyed (270) take the 82 who study in both places and take the 95 who study only in the library and take the 60 who study only in the cafeteria, which gives 33 (i.e. 270 - 82 - 95 - 60)
please answer for 30 points
Answer:
(2,-2)
Step-by-step explanation:
but it says fifteen and the answer is the first one
Answer:
I believe its A. im not 100 % im sorry if its wrong
is it true that George Washington LOVED political parties?
Answer:
No, It's false.
Step-by-step explanation:
In the long history of the United States, only one president, George Washington, did not represent a political party.
Logan walked 2 1/2 miles on Monday and she walked
6 miles. How far did she walk on Tuesday?
Answer:
3 1/2 miles
Step-by-step explanation:
because 6 - 2 1/2 = 3 1/2
are the fractions 4/5 and 8/12 equality
Answer:
NO because 5 doesn't have any factors of 12 but only 4 has a factor of 8. So 4/5 would be greater but no they would not be equal
Step-by-step explanation:
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
Okie I need help I don’t understand thank you
Answer:
12
Step-by-step explanation:
8x+4x = 12x
-3+3= 0
12x+0=180
x=180/12
x=15
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]P(Y < 16) is the p-value of Z when X = 16, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 20}{2.3}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
Please helpppp quick
Answer:
x<-4
Step-by-step explanation:
The arrow shows an open circle around -4 meaning it's not equal to -4. And we see the arrow going left, meaning x<-4.
Hope this helps :^)
Answer:
x<-4
Step-by-step explanation:
There is an open circle where -4 is, so the maximum would be -5. There would be no minimum, so you can say that x is less than -4.
FREE PONITSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
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Which term is defined as the distance from the center of a circle to any point on the circle?
A. Directrix
B. Diameter
C. Circumference
D. Radius
Answer:
radius is the distance from the center of circle to any point of the circle.
Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?
Answer:
56 handshakes
Step-by-step explanation:
one person shakes seven hands
eight people shook seven hands each
8×7=56
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.
Answer:
[tex]\boxed{\boxed{\sf x=-3}}[/tex]
Step-by-step explanation:
[tex]\sf y = -3x - 2[/tex]
[tex]\sf y=7[/tex]
We'll substitute y into the equation:
[tex]\sf 7 = -3x - 2[/tex]
Switch sides:
[tex]\sf -3x-2=7[/tex]
Add 2 to both sides
[tex]\sf -3x-2+2=7+2[/tex]
[tex]\sf -3x=9[/tex]
Divide both sides by -3:
[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]
[tex]\sf x=-3[/tex]
Therefore, the value of x/solution is -3
________________________________________
Answer:
The value of x is
✔ –3
The solution to this system of equations is
✔ (–3, 7)
Step-by-step explanation: