the sum of the first night term of an AP is n^2-3n. write down the 10th term

Answers

Answer 1

Answer:

T10 = 16

Step-by-step explanation:

Using the expression for calculating the sum of an AP as:

Tn = Sn - Sn-1

When n = 10

T10 = S10 - S9

Given that;

Sn = n²-3n

S10 = 10²-3(10)

S10 = 100 - 30

S10 = 70

S9 = 9² - 3(9)

S9 = 81 - 27

S9 = 54

Substitute the given values

T10 = S10 - S9

T10 = 70 - 54

T10 = 16

Hence the 10th term of the sequence is 16


Related Questions

A poll was conducted during the final game of the basket season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming lo an has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation?

Answers

If I did this right the answer should by: The results are statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas.

There will be a significant difference between the two proportions. A further explanation is given below.

As shown by the data, families in remote regions are much more likely to desire the protecting winners to control the tournament than individuals throughout large cities, and this difference is statistically substantial.Throughout this case, it's because the p-value of further 0.03 would be significantly less than the threshold of 0.05 significance. As a result, we may claim that perhaps the results are statistically significant at such a 0.05 range.

Thus the above is the appropriate solution.

Learn more:

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I really need help with this stadistic problem

Answers

Answer:

the mean is 5.8 and the median is 6

Step-by-step explanation:

if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8

for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median

Which of the following scenarios shows a value of 0.4? Select all that apply.

A.
Jesse sold 40 out of 60 items at a garage sale.

B.
Jesse rode 4 out of 10 miles on his bike.

C.
Jesse finished 40 out of 100 math problems.

D.
Jesse ate 4 out of 100 jellybeans.

E.
Jesse returned 4 out of 8 library books.

Answers

Answer:

D and B

Step-by-step explanation:

The scenarios which gives a value of 0.4 is depicted by the equations B and C

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

a)

Jesse rode 4 out of 10 miles on his bike.

So , the fraction is A = 4/10 = 0.4

b)

Jesse finished 40 out of 100 math problems.

So , the fraction is A = 40/100 = 0.4

Hence , the equation is A = 0.4

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find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest​

Answers

Answer:

14

Step-by-step explanation:

I am preatty sure its 14 hope this helps

Of nine executives in a business firm, four are married, three have never married and two are divorced. Three of the executives are to be selected for a promotion. Let Y1 denote the number of married executives and Y2 be the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available.
a. Find the joint PMF for y1 and y2
b. Find the marginal probability distribution of y1
c. If we let y3 denote the number of divorced executives among the three selected for promotion. Find P(y3 =1 | y2 = 1)
d. Are Y1 and Y2 independent? Why?
e. Find cov(Y1,Y2). Does the sign surprise you? Why?

Answers

Answer:

werere

Step-by-step explanation:

were

Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.

Answers

Answer:

1.6 m = 5.3 ft

At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?

Answers

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

HELP PLEASE BRAINLIEST AND ITS EASY\


What is the mean of the values in the dot plot?



Enter your answer in the box.

Answers

Answer: 2

Step-by-step explanation:

2+2+1+3=8/4=2

If a ball is dropped on the ground from a height of h meters, then the ball reaches the ground with the velocity 4.43h m/sec.

Find the velocity with which a ball reaches the ground when it is dropped from a height of 32 m.

Answers

Answer:

v = 141.76 m/s

Step-by-step explanation:

Given that,

The ball reaches the ground with a velocity of 4.43h m/sec.

We need to find the velocity of the ball at a height of 32 m.

Since, v = 4.43h

Put h = 32 m in the above expression.

v = 4.43(32)

v = 141.76 m/s

So, the velocity of the ball is equal to 141.76 m/s.

A bicycle is originally priced at $80 the store owner gives a discount in the bicycle is know priced at $60 enter the percent markdown for the cost of the bicycle

Answers

Answer:

25%

Step-by-step explanation:

Since we know that the markdown is $20 by subtracting 80-60 , we find out what percent of 20 is 80. To do that you do 20/80, which is 0.25, or 25 percent.

the answer is 25%!!

Please i need help :(

Answers

Answer:

Step-by-step explanation:

7 is 1

8 is 2

1.6 x 0.7 =
plsss help

Answers

Answer:

1.12

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

Find the slope of the line passing through the points (2,-9) and )1,-3)

Answers

Answer:

5

Step-by-step explanation:

Slope = (-3 - 2) / (1 - 2) = -5 / -1 = 5

Hi there!

[tex]\large\boxed{\text{slope =} 6}[/tex]

We can calculate slope using the following formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the corresponding points:

[tex]slope = \frac{-9-(-3)}{2-1}[/tex]

Simplify:

[tex]slope = \frac{-6}{1} = -6[/tex]

In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.

Answers

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

pls me with this maths assignment

Answers

Answer:

56ft

Step-by-step explanation:

5+4+12+11+16+8=56

a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals​

Answers

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)

Answers

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

[tex]V(t) = 14651(0.81)^{t}[/tex]

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

[tex]V(t) = 14651(0.81)^{t}[/tex]

[tex](0.81)^t = \frac{V(t)}{14651}[/tex]

[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]

(a) $8000

V(t) = 8000

[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]

The car will be worth $1000 after 12.7 years.

Which chocolate chip cookies have the greater spread in the number of chips per cookie?

is it
Regular
OR
Reduced Fat

Answers

reduced fat had the greater spread

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...

n=20

Answers

Answer:

142

Step-by-step explanation:

hope this help love y all!

A bear weighs 4,521 grams. How much does the bear weigh in kilograms

Answers

Answer:

A bear weighing 4,521 grams would weight 4.521 kilograms

Find the cost of 6 kg rice, if the cost of 10 kg rice is 325 rupees .​

Answers

Answer:

195 rupees

Step-by-step explanation:

10kg=325 rupees

6kg=?

Cross multiplication;

=6×325/10

=1950/10

=195 rupees

I need an answer! pls ill brainlist

Answers

Answer:

die

Step-by-step explanation:

so in order to die you must die

9. A juice glass holds 180mL. If a client drinks 7/2 glasses , how many milliliters did
the client consume? (5 points)

Answers

Answer:

630 ml

Step-by-step explanation:

1 glass contains 180 ml juice

7/2 glasses contains = 180 × 7/2 = 630 ml

pls answer fast will give branliest

if u send links will report so mf fast

Answers

Answer:

m∠1= 17°

m∠2=73°

m∠3=90°

m∠4=51°

m∠5=17°

m∠6=129°

Step-by-step explanation:

Hope it helps...

Have a great day!!

ANSWER AND STEPS PLEASE

A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.

Which measurement is closest to the volume of the container in cubic feet?

Answer choices:

A. 15,307.55 ft3

B. 1,275.63 ft3

C. 5,102.52 ft3

D. 3,826.89 ft3

Answers

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

the answer to your question is going to be letter b

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
120%
B
C
Angles are not drawn to scale.
Enter

Answers

Answer:

the answer woiuld be 60

Step-by-step explanation:

supplementary angles are 180

180-120=60

x=60

What is the value of k?
k = 28
k = 29
k = 31
k = 42

Answers

Answer:

k=29

Step-by-step explanation:

we know that

-------> by supplementary angles

Solve for k

Combine like terms in the left side

Substract  both sides

Divide by  both sides

   

therefore

the answer is the option

B

 

The answer is 29
K is equal to 29

solve the system by substitution.......

Answers

Answer:

x=3

y=15

Step-by-step explanation:

y=5x

y=-4x+27

5x=-4x+27

+4x +4x

9x=27

/9 /9

x=3

y=5x

y=5(3)

y=15

*20 POINTS* find the value of x ? x = ___

Answers

Answer:

5

Step-by-step explanation:

Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS​

Answers

Answer:

How can you determine whether a given number makes an equation true?

Determine whether a number is a solution to an equation.

   Substitute the number for the variable in the equation.

   Simplify the expressions on both sides of the equation.

   Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

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