Find the sum of the first 48 terms of the following series, to the nearest integer7,11,15,...

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Answer 2

The sum of first 48 terms of the given series is 4848.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].

The given arithmetic sequence is 7,11,15,......

Here, a=7, d=11-7=4 and n=48

Now, S₄₈=48/2[2×7+(48-1)×4]

= 24(14+47×4)

= 24(14+188)

= 24×202

= 4848

Therefore, the sum of first 48 terms of the given series is 4848.

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Related Questions

the points scored per game by a professional basketball player are represented by the box plot below if the player scores 9 points and 35 points in the next two games how is the median of the data set affected

Answers

Answer:

The median points per game is not affected.

Step-by-step explanation:

Compare the points scored in the two most recent games to the values given in the box plot to determine how the new values affect the median of the original data set.

The box plot for points scored indicates that the minimum points per game is 11, the maximum is 26 points, and the median is 21 points.

Since the median of 21 is between the two new values of 9 and 35, the median points per game is not affected by the new values.

Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?

Answers

The statement that most adequately recounts the change in the average of the team's no. of points per game would be:

A). The new mean is greater than the previous mean.

Given,

[tex]Mean = 94[/tex]

Now,

The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]

New mean = (sum of observations)/No. of observations

[tex]= 1015/10[/tex]

= [tex]101.5[/tex]

Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.

Thus, option A is the correct answer.

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find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2​

Answers

Domain (-infinity,infinity)

Min(?

max(2,2)

I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped

Answers

the answer is number 2

You are a male who has a high school diploma. You plan to attend collage and earn a bachelors degree. When you graduate from college you get a job paying $40,780/yr. how much less areyou earning per year than median?

Answers

Answer: I think it’s 20,390

Step-by-step explanation:

Answer: 11,272

Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.

10) Two number cubes are rolled and the results are added. (There are 36 possible
outcomes.) What is the probability the sum is equal to 2?​

Answers

Answer:

2.7%

Step-by-step explanation:

The first thing to take into account, how could the sum be and the only way is that in each numerical cube, get a 1, because the other option is 2+ 0, but it is assumed that both cubes are numerical and on each side there are number.

Therefore, the probability would be that in each die 1 appears, they tell us that there are 36 possible results in the two dice and this would be 1 of those 36 results, which means that the probability would be:

1/36 = 0.027

What 2.7% means is the probability

Use the discriminant to determine the number of real solutions to the quadratic equation. −100a2+20a−1=0 What is the number of real solutions? Select the correct answer below: 0 1 2

Answers

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

When the discriminant is 0, there is one real solution.

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

I’m also stuck on this .

Answers

Answer:

It's given that AB = AC and BN = NC. Also, AN = NA because of the reflexive property. So the answer to the blank is congruent. (This is because of the SSS principle.)

Answer:

bardikikinouko is the answer

Step-by-step explanation:

Solve for y: 3y + 6 = -45

Answers

Answer:

Step-by-step explanation:

solution :

       y = -17

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*y+6-(-45)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  3y + 51  =   3 • (y + 17)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    y+17 = 0

Subtract  17  from both sides of the equation :

                     y = -17

    solution was found :

                  y = -17

Which inequality is true?


5(−2)>10

3(13)<39

11+(−3)<9

5 + 12>18

Answers

Answer: 11 + (-3) < 9 is true.

Step-by-step explanation:

When there is a + in front of an expression in parentheses , the expression remains the same.

11 - 3 < 9

Now subtract.

8 < 9

the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft

Answers

Answer:

C. 1839 ft.

Step-by-step explanation:

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

sin 22 =  689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft

We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.

If the vertical distance from the bottom to the top of the mountain is 689 feet,

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

What is the ratio of sin?

[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]

Therefore we get,

sin 22 = 689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft.

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PLEASE HELP!! 25 POINTS

Answers

Answer:

1. f(x) and g(x)

2. g(x)

3. All

4. F(x) and H(x)

Step-by-step explanation:

graph them

A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused

Answers

Answer:

2 inches

Step-by-step explanation:

Answer:

2 inches each

Step-by-step explanation:

1 foot = 12 inches

1/3 of 12 =4

left over :12 - 4 = 8

8/4 =2

Please answer fast, dhehdhhd

Answers

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

the answer is 142 because 180 degrees is a straight line so you would do 180-38=142

M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.​

Answers

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

Solve |2x + 6|<16

A {x|-11 B {x<-11 or x>5}
C {x|-5

Answers

It’s the last one. .

Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.

Basically I need to find a function based off Inputs & Outputs. (If that makes sense).

Answers

Answer:

Step-by-step explanation:

yes, since that are 2 points:

y-int is (0, y)

x-int is (x, 0)

since you need only two points for a function with no restrictions, we can use y and x intercepts as points

Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.

is this theoretical or experimental
any why?

Answers

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Please help me with 2 more questions ill give good ratings please!

Answers

Answer:

3, - 6 )

Step-by-step explanation:

Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is

(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )

5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.

Answers

Answer:

if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316

Step-by-step explanation:

most teachers say but off is thousandths be careful look what it’s asking for exactly

A triangle on a coordinate plane is translated according to the rule T-8,4(x, y). Which is another way to write this rule?
A (x,y) - (x + 4, y - 8)
B (x,y) - (x - 4, y - 8)
C (x, y) - (x - 8, y + 4)
D (x,y) - (x + 8, y - 4)

Answers

Answer:

C

Step-by-step explanation:

(x, y) → (x – 8, y + 4)

A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]  according to the translation rule.

What is translation rule ?

According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)

by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].

How to use translation rule to find the answer?

Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4

Putting in the values given in the question to the translation rule we get

[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]

[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]

Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.

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Solve for y: 4y + 4 = -8

Answers

the answer would be 1

Answer: YOUR ANSWER IS -3

Step-by-step explanation:

4y + 4 = -8

     -4     -4

___________

4y = -12

Divide -12 by 4

Y = -3

Which phrase describes a model in science?

a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object

Answers

The correct answer is B. A structure that is used to represent a complex system

Explanation:

A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"

Answer:

B. a structure that is used to represent a complex system

Step-by-step explanation:

just did the quiz on ed

shoulders knees and toes ‍♀️✨‍♀️‍♀️wait i forgot the head,, thats what you'll get later✨‍♀️‍♀️‍♀️✨✨‍♀️‍♀️✨✨
sorry i just needed to put something here​

Answers

Answer:

C

Step-by-step explanation:

-3x - 2 ≥ 7

-3x ≥ 9

x ≤ -3

Answer:

c

Step-by-step explanation:

-3x-2 greater than or equal to 7

-3x greater than or equal to 9

x less than or equal to -3

(flip the inequality sign if you multiply by a negative number on both sides)

c

Use the drawing tool(s) to form the correct answers on the provided graph.
In the given equation, yis a function of x.

Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.
Drawing Tools
Click on a tool to begin drawing
(90points)

Answers

Can you please send image clearly ?

Answer:

y = 2/3x + 4

Step-by-step explanation:

Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service. ​

Answers

Answer: £ 260.78

Step-by-step explanation:

Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self

Answers

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly


PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!

Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.

Answers

Answer: 70 I’m almost certain

Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70

the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y

Answers

Answer:

3.5

Step-by-step explanation:

Given: x-y=0.7

Finding: 5(x-y)

So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5

The answer to the expression is 3.5

How to solve the expression?

In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.

Given:

x - y = 0.7

Finding: 5(x - y)

So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5

What is a math expression example?

An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.

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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric

2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b


P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY

Answers

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

It is provided that:

Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Answer:

Answer is C

Step-by-step explanation:

The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)

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