can you please answer and explain this question​

Can You Please Answer And Explain This Question

Answers

Answer 1

Answer:

mean: 106900

median: 8500

mode: 7,000, 8,000, and 11,000

Step-by-step explanation:

To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.


Related Questions

I really need a help, help help helppp Helpppppp please

Answers

Answer:

I am clueless. Take care though.

Step-by-step explanation:

Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.

Answers

Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

How to determine the amount of rose petals left?

The given parameters are:

Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kg

The amount left is the difference between the amount purchased and the amount used.

So, we have:

Remaining  = 0.454 + 0.056 - 0.02 - 0.095

Evaluate

Remaining  = 0.395

This means that the remaining amount is 0.395kg, not 0.413 kg

Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

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Answer: she is left with 0.395 kilogram of rose pedals

Step-by-step explanation: she misalinged the first step,

0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395

Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4

Answers

Step-by-step explanation:

this is the answer

hope it help

solve the equation 1/x+3/x=16​

Answers

[tex] \frac{1}{x} + \frac{3}{x} = 16 \\ [/tex]

[tex] \frac{4}{x} = 16 \\ [/tex]

[tex]16x = 4[/tex]

[tex]x = \frac{4}{16} \\ [/tex]

[tex]x = \frac{1}{4} \\ [/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ \frac{1}{x} + \frac{3}{x} = 16} \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ \frac{4}{x } = 16 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ x = 16 \times 4 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \implies \orange{\underline{\boxed{\large\frak \pink{x = 64 }}}} \\ \end{gathered}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Can someone please just check my answers over to make sure I got them right. Thank you so much!
Let me know if you need a close up on any of the pictures!

Answers

Answer: they are all correct congrats!

Step-by-step explanation:

Six people want to share five boxes of raisins. How many boxes of raisins will each person get?

Answers

5/6 or 0.83 boxes of raisins

Wyatt bought $40 worth of materials to make braided keychains. If Wyatt Sells his keychains for $2.50
each, how many keychains must he sell to earn a profit?

Answers

Inequalities help us to compare two unequal expressions. Wyatt needs to sell at least 17 keychains.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given Wyatt bought $40 worth of materials to make braided keychains. Also, it is given that Wyatt Sells his keychains for $2.50 each. Therefore, the minimum number of keychains he should sell to make a profit are,

Number of keychains>(40/2.50)

Number of keychains > 16

Thus, Wyatt needs to sell at least 17 keychains.

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Answer:

Step-by-step explanation:

17

Use the graph to determine the function’s DOMAIN and RANGE

Answers

Answer:

Domain = x ≥ 0

Range = f( x ) ≥ 1

Step-by-step explanation:

The graph starts from 0 in the x - axis and 1 in the y hence the given domain and range.

4x+3y=6
-4x+2y=14
Solve the system of equations.

A. x= 1/2, y=3
B. x=3, y =1/2
C. x=4, y = -3/2
D. x=-3/2, y = 4

Answers

Answer:

D

Step-by-step explanation:

4x + 3y = 6

-4x + 2y = 14

0 + 5y / 5 = 20/ 5 = 4 = y

4x + 3(4) = 6

4x + 12 - 12 = 6 - 12

4x / 4 = -6 / 4 = -3 / 2 =x

Jeff sells shirts at a store in the mall. Which group should he survey to determine which color of shirt will have the greatest number sold?

Female customers

customers who are wearing blue

200 random customers

10 friends at work​

Answers

The 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.

What is a survey?

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

Jeff sells shirts at a store in the mall.

The selecting the colour of the shirts is subjective.

It also depends on that how many colours that store sell.

Female customers cannot be an option because men also buy shirts and affect the result of the survey.

Customers who are wearing blue data only tells that how many blue shirts sold.

200 random customers. 200 is a sample from a population, so it will give appropriate results about the colour of shirt will have the greatest number sold

Thus, the 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.

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Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 34°. What is m∠D?
56°

34°

64°

46°

Answers

Answer: 56°

Step-by-step explanation:

On his third math quiz of the semester, Cooper answered 28 questions correctly and got 7 wrong. What is the ratio of the number of questions he got right on the quiz to the total number of questions?

Answers

Step-by-step explanation:

Given that Cooper answered 28 questions correctly and 7 incorrect answers, If the total number of questions is x,

let total number of questions be X,

therefore X = 28+7

= 35

ratio of right answered questions to the total questions, R is

R =

[tex] \frac{28}{35} [/tex]

=

[tex] \frac{4}{5} [/tex]

therefore, the ratio is 4:5

Help me pretty please!

Answers

Answer:

g

Step-by-step explanation:

The answer would be G.5

Answer this volume based Question. I will make uh brainliest + 50 points​

Answers

Answer:

[tex]\huge{\purple {r= 2\times\sqrt[3]3}}[/tex]

[tex]\huge 2\times \sqrt [3]3 = 2.88[/tex]

Step-by-step explanation:

For solid iron sphere:radius (r) = 2 cm (Given)

Formula for [tex]V_{sphere} [/tex] is given as:

[tex]V_{sphere} =\frac{4}{3}\pi r^3[/tex]

[tex]\implies V_{sphere} =\frac{4}{3}\pi (2)^3[/tex]

[tex]\implies V_{sphere} =\frac{32}{3}\pi \:cm^3[/tex]

For cone:r : h = 3 : 4 (Given)Let r = 3x & h = 4x

Formula for [tex]V_{cone} [/tex] is given as:

[tex]V_{cone} =\frac{1}{3}\pi r^2h[/tex]

[tex]\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)[/tex]

[tex]\implies V_{cone} =\frac{1}{3}\pi (36x^3)[/tex]

[tex]\implies V_{cone} =12\pi x^3\: cm^3[/tex]

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume[tex]\implies V_{cone} = V_{sphere}[/tex]

[tex]\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}[/tex]

[tex]\implies 12x^3= \frac{32}{3}[/tex]

[tex]\implies x^3= \frac{32}{36}[/tex]

[tex]\implies x^3= \frac{8}{9}[/tex]

[tex]\implies x= \sqrt[3]{\frac{8}{3^2}}[/tex]

[tex]\implies x={\frac{2}{ \sqrt[3]{3^2}}}[/tex]

[tex]\because r = 3x [/tex]

[tex]\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}[/tex]

[tex]\implies r=3\times 2(3)^{-\frac{2}{3}}[/tex]

[tex]\implies r= 2\times (3)^{1-\frac{2}{3}}[/tex]

[tex]\implies r= 2\times (3)^{\frac{1}{3}}[/tex]

[tex]\implies \huge{\purple {r= 2\times\sqrt[3]3}}[/tex]Assuming log on both sides, we find:

[tex]log r = log (2\times \sqrt [3]3)[/tex]

[tex]log r = log (2\times 3^{\frac{1}{3}})[/tex]

[tex]log r = log 2+ log 3^{\frac{1}{3}}[/tex]

[tex]log r = log 2+ \frac{1}{3}log 3[/tex]

[tex]log r = 0.4600704139[/tex]

Taking antilog on both sides, we find:

[tex]antilog(log r )= antilog(0.4600704139)[/tex]

[tex]\implies r = 2.8844991406[/tex]

[tex]\implies \huge \red{r = 2.88\: cm}[/tex]

[tex]\implies 2\times \sqrt [3]3 = 2.88[/tex]

the coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are

Answers

Answer:

  1, 5, 10, 10, 5, 1

Step-by-step explanation:

The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...

  1, 5, 10, 10, 5, 1

__

Algebraically, they are computed using the formula for 5 things taken k at a time:

  5!/(k!(5-k)!)

1. What is the volume of this composite figure?
i6m
16 m
10 m
4 m
5 m

Answers

Answer:

560

Step-by-step explanation:

16 times 5 times 4=320

6 times 16 divide 2 then multiple 5

Find X
A = 49
B = 27
C = 98
D = 76

Answers

Answer:

C=98°

Step-by-step explanation:

125°- 27°

=98°

Which of the following statements is true?

A. The experimental probability of an outcome is always the same as the theoretical probability of the outcome

B. The experimental probability of an outcome is never the same as the theoretical probability of the outcome.

C. As the number of trials of a random process decreases, the experimental probability of an outcome approaches the theoretical probability of the outcome

D. As the number of trials of a random process increases, the experimental probability of an outcome approaches the theoretical probability of the outcome

Answers

Answer:

B

Step-by-step explanation:

first of all articles are perfect and there is . sign at the last of the sentence

At Frosty Freeze, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts?

Answers

Answer:

The correct answer is:

P(nuts)=7/9

Step-by-step explanation:

The experimental probability that the next sundae sold will have nuts is

7/9

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex]  is denoting the experimental probability of occurrence of E.

We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.

Therefore,

Probability that the next sundae has nuts is 14/18 = 7/9.

Thus, Probability that the next sundae does not have nuts = 2/9

P(nuts)=7/9

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find tan (0) from sin 0= 7/9

Answers

Step-by-step explanation:

First, use the Pythagorean theorem to find cos x.

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]

[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]

[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]

Now, use the quotient identity

[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]

[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]

[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]

The answer is A

Including Jose, there are eight people in his family.

If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

35
840
1,680
2,620

Answers

Answer: b=840

Step-by-step explanation:

edge 2022

do good on your tests !!

There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

ⁿPₓ = n! / (n - x)!

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

There is no difference. So, 7 people can be sit in different ways as;

ⁿPₓ = n! / (n - x)!

⁷P₄ = 7! / (7 - 4)!

     = 7! / 3!

     = 840

So, the correct answer is, 840

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What is the median of the data represented by the box plot?

Answers

Answer: 20

Step-by-step explanation:

    Box plots give us the median just by looking at them. See attached.

PLEASE HELP ME
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level a.

n=11, a = 0.01

A r=+0.735
B r=+0.602
C r= 0.765
D r= 0.735

Answers

Answer choice D. In order to find the r value, you need to find the degrees of freedom (df). df = n -2. In this case then the degrees of freedom is 9 (11 - 2). Now you use the df, the significance value (also known as p-value), and the critical value table (search it up if you don’t have one) to find that with a df of 9 and a probability value of 0.01, the r = 0.735.

The reason for why the answer is not “A” is due to the fact that we’re finding all of the possible r values, we are not a evaluating r to see whether or not it is significant.

A triangle has a base of 4 m and a height of 3 m.



What is the area of the triangle?



Enter your answer in the box.




Answers

Answer:

Area of the triangle is 6

Step-by-step explanation:

The formula for the area of a triangle is the base x height / 2. This means we can just plug in the variables and solve

A = b x h/2

A= 4 x 3/2

A= 12/2

A= 6

Answer: 6

Step-by-step explanation:

Solve for x. Round to the nearest tenth.​

Answers

Answer:

x = 25.84

Step-by-step explanation:

Secx = hyp /adj

Secx = 30/27

x = ArcSec(30/27)

x = 25.84

1: solve the following pair of equations simultaneously using the method stated.

a) 2x-3y = 5 and 3x+4y = 6 (elimination method)

b) 4x-y = 9 and 3xy = -6 (substitution method)

c) y=x^2 - 2x and y = 2x -3 (substitution method)​

Answers

Answer:

Your answers are below ↓

Step-by-step explanation:

Given ↓

A) 2x-3y = 5 and 3x+4y = 6  ( The method this has to be solved in is the elimination method. )

Now using these,

(1)×3 - (2)×2 = 6x + 9y - 6x - 8y = 15 - 12

therefore,

y = 3

putting the value of y in eqn. (1)

2x + 6 = 5

therefore,

x = -1/2

B)  y=x^2 - 2x and y = 2x -3  ( The method this has to be solved in is the substitution method. )

Reduce the greatest common factor on both sides of the equation:
[tex]\left \{ {{4x-y=9} \atop {xy=-2}} \right.[/tex]

Rearrange like terms to the same side of the equation:

[tex]\left \{ {{-y=9-4x} \atop {xy=-2}} \right.[/tex]

Divide both sides of the equation by the coefficient of the variable:

[tex]\left \{ {{y=-9+4x} \atop {xy=-2}} \right.[/tex]

Substitute the unknown quantity into the elimination:

[tex]x(-9+4x)=-2[/tex]

Apply Multiplication Distribution Law:

[tex]-9x+4x^2=-2[/tex]

Reorder the equation:

[tex]4x^2-9x=-2[/tex]

Divide the equation by the coefficient of the quadratic term:

[tex]\frac{1}{4}(4x^2)+\frac{1}{4}(-9x)=\frac{1}{4}*(-2)\\[/tex]

Calculate:

[tex]x^2-\frac{9x}{4}=-\frac{1}{2}[/tex]

Add one term in order to complete the square:

[tex]x^2-\frac{9x}{4}+(\frac{9}{4}*\frac{1}{2})^2=-\frac{1}{2}+(\frac{9}{4}*\frac{1}{2})^2[/tex]

Calculate:

[tex]x^2-\frac{9x}{4}+(\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]

Factor the expression using [tex]a^2$\pm$2ab+b^2=(a$\pm$b)^2[/tex]:

[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]

Simplify using exponent rule with the same exponent rule: [tex](ab)^n=a^n*b^n[/tex]

[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +\frac{9^2}{8^2}[/tex]

Calculate the power:

[tex](x-\frac{9}{8} )^2=-\frac{1}{2}+\frac{81}{64}[/tex]

Find common denominator and write the numerators above the denominator:

[tex](x-\frac{9}{8} )^2=\frac{-32+81}{64}[/tex]

Calculate the first two terms:

[tex](x-\frac{9}{8} )^2=\frac{49}{64}[/tex]

Rewrite as a system of equations:

[tex]x-\frac{9}{8} =\sqrt{\frac{49}{64} }[/tex] or [tex]x-\frac{9}{8} =-\sqrt{\frac{49}{64} }[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]x=\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]

Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:

[tex]x=\frac{\sqrt{49} }{\sqrt{64} } +\frac{9}{8}[/tex]

Factor and rewrite the radicand in exponential form:

[tex]x=\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]

Simplify the radical expression:

[tex]x=\frac{7}{8} +\frac{9}{8}[/tex]

Write the numerators over the common denominator:

[tex]x=\frac{7+9}{8}[/tex]

Calculate the first two terms:
[tex]x=\frac{16}{8}[/tex]

Reduce fraction to the lowest term by canceling the greatest common factor:

[tex]x=2[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]x=-\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]

Rewrite the expression using [tex]\sqrt[n]{a} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:

[tex]x=-\frac{\sqrt{49} }{\sqrt{64} }+\frac{9}{8}[/tex]

Factor and rewrite the radicand in exponential form:
[tex]x=-\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]

Simplify the radical expression:

[tex]x=-\frac{7}{8} +\frac{9}{8}[/tex]

Write the numerators over common denominator:

[tex]x=\frac{-7+9}{8}[/tex]

Calculate the first two terms:

[tex]x=\frac{2}{8}[/tex]

Reduce fraction to the lowest term by canceling the greatest common factor:

[tex]x=\frac{1}{4}[/tex]

Find the union of solutions:

[tex]x=2[/tex] or [tex]x=\frac{1}{4}[/tex]

Substitute the unknown quantity into the elimination:

[tex]y=-9+4*2[/tex]

Calculate the first two terms:

[tex]y=-9+8[/tex]

Calculate the first two terms:

[tex]y=-1[/tex]

Substitute the unknown quantity into the elimination:

[tex]y=-9+4*\frac{1}{4 }[/tex]

Reduce the expression to the lowest term:

[tex]y=-9+1[/tex]

Calculate the first two terms:

[tex]y=-8[/tex]

Write the solution set of equations:
[tex]\left \{ {{x=2} \atop {y=-1}} \right.[/tex] or [tex]\left \{ {{x=\frac{1}{4} } \atop {y=-8}} \right.[/tex]   -------> Answer

C)   y=x^2 - 2x and y = 2x -3 ( This method this has to be solved in is the substitution method. )

Step 1: We start off by Isolating y in y = 2x - 3

y=2x-3 ----------> ( Simplify )

y+(-y)=2x-3+(-y)   ---- > ( Add (-y)on both sides)

0=-3+2x-y

y/1 = 2x-3/1 --------> (Divide through by 1)

y = 2x - 3

We substitute the resulting values of y = 2x - 3 and y = x^2 - 2x

(2 * x - 3) = x^2 - 2x ⇒ 2x -3 = x^2 - 2x ---->   ↓

                                               (Substituting 2x - 3 for y in y = x^2 -2x )

Next: Solve (2x - 3 = x^2 - 2x) for x using the quadratic formular method

2x - 3 = x^2 - 2x

x = -b±b^2-4ac/2a  Step 1: We use the quadratic formula with  ↓

                                                                                         a = -1,b=4,c= - 3

x = -4±(4)^2-4(-1)(-3)/2(-1) Step 2: Substitute the values into the Quadratic  Formular

x = -4± 4/ - 2         x = 1 or x = 3        Step 3: Simplify the Expression & Separate Roots

x = 1 or x = 3  ------- ANSWER

Substitute 1 in for x in y = 2x - 3 then solve for y

y = 2x - 3

y = 2 · (1)  - 3 (Substituting)

y = -1 (Simplify)

Substitute 3 for in y = 2x - 3 then solve for y

y = 2x - 3

y = 2 · (3) - 3 (Substituting)

y =  3   (Simplify)

Therefore, the final solutions for y = x^2 -2x; y = 2x - 3 are

x₁ = 1, y₁ = -1

x₂ = 3, y₂ = 3              

Please help me. I don’t understand at all.

Answers

Answer:

Option 2

Step-by-step explanation:

Evaluating the options :

Option 1

2 |x - 5| - 4 < -82 |x - 5| < -4|x - 5| < -2Empty set as modulus cannot be less than 0

Option 2

|2x - 1| - 7 <  -6|2x - 1| < 1x < 1There is a solution set other than empty set

Option 2 is the right answer.

please answer this question​

Answers

Answer:

[tex]a_n=3n-2[/tex]

Step-by-step explanation:

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth term[tex]a[/tex] is the first term[tex]d[/tex] is the common difference between terms

Create expressions for the 4th and 6th terms:

[tex]\implies a_4=a+(4-1)d=a+3d[/tex]

[tex]\implies a_6=a+(6-1)d=a+5d[/tex]

The ratio of the 4th term to the 6th term is 5:8, therefore:

[tex]\implies \dfrac{a_4}{a_6}=\dfrac{5}{8}[/tex]

[tex]\implies \dfrac{a+3d}{a+5d}=\dfrac{5}{8}[/tex]

[tex]\implies 8(a+3d)=5(a+5d)[/tex]

[tex]\implies 8a+24d=5a+25d[/tex]

[tex]\implies 8a-5a=25d-24d[/tex]

[tex]\implies 3a=d \quad \leftarrow \textsf{Equation 1}[/tex]

Sum of the first n terms of an arithmetic series:

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

The sum of the first 7 terms of an arithmetic progression is 70:

[tex]\implies S_7=70[/tex]

[tex]\implies \dfrac{7}{2}[2a+(7-1)d]=70[/tex]

[tex]\implies 2a+6d=20[/tex]

[tex]\implies a+3d=10 \quad \leftarrow \textsf{Equation 2}[/tex]

Substitute Equation 1 into Equation 2 and solve for [tex]a[/tex]:

[tex]\implies a+3(3a)=10[/tex]

[tex]\implies a+9a=10[/tex]

[tex]\implies 10a=10[/tex]

[tex]\implies a=1[/tex]

Substitute found value of [tex]a[/tex] into Equation 1 and solve for [tex]d[/tex]:

[tex]\implies 3(1)=d[/tex]

[tex]\implies d=3[/tex]

Finally, substitute found values of [tex]a[/tex] and [tex]d[/tex] into the general form of the arithmetic sequence:

[tex]\implies a_n=1+(n-1)3[/tex]

[tex]\implies a_n=1+3n-3[/tex]

[tex]\implies a_n=3n-2[/tex]

The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.

Answers

Answer:

3 cm

Step-by-step explanation:

Formula :

Area = 1/2 x Base x Height

Given :

Area = 7.5 cmBase = 5 cm

Solving :

Height = 7.5/5 x 2Height = 3 cm

How can you use a single measure to describe a data set?​

Answers

Answer:

There are many ways to describe a data set using a single measure. Some common ways are to find the mean, median, or mode of the data set.

Step-by-step explanation:

A single measure can be used to describe a data set in the form of a statistic. This statistic can be used to measure the central tendency, dispersion, or shape of the data set. For example, the mean can be used to describe the central tendency of a data set, while the standard deviation can be used to describe the dispersion of a data set.

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