The stemplot displays 26 students’ scores on a 90-point statistics test.

A stemplot titled Test scores has values 43, 45, 46, 51, 52, 53, 55, 57, 60, 63, 63, 65, 66, 67, 67, 69, 69, 71, 71, 72, 74, 76, 77, 79, 84, 85.

Which of the following best describes the center and variability of the distribution?

The scores on the test are centered around 63 and vary from 45 to 85.
The scores on the test are centered around 66 and vary from 43 to 85.
The scores on the test are centered around 66 and vary from 40 to 80.
The scores on the test are centered around 69 and vary from 45 to 85.

Mark has 18 and Don has 77 number of marble to sell.

Let’s say Mark has x number of marble and Don’s marble number is y.

According to this problem we have,

Y = 4x +5

And x + y = 95

Or, x + 4x + 5 = 95

Or, 5x = 90

Or, x = 18 and y = 77  

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Answer:

7(x + 4) = 70

x = 6

Step-by-step explanation:

7(x + 4) = 70  Distribute the 7.  Multiply everything inside the parentheses by 7

7x + 28 =70  Subtract 28 from both sides of the equation

7x = 42  Divide both sides by 7

x = 6

Partial fractions:

[tex]\displaystyle \frac1{(n^2-1)^2} = \dfrac14 \left(\frac1{n+1} - \frac1{n-1} + \frac1{(n+1)^2} + \frac1{(n-1)^2}\right)[/tex]

Now evaluate the sums. The first two terms form a telescoping sum,

[tex]\displaystyle \sum_{n=2}^\infty \left(\frac1{n+1} - \frac1{n-1}\right) = \sum_{n=1}^\infty \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \sum_{n=1}^N \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \left(\frac1{N+2} + \frac1{N+1} - 1 - \frac12\right) \\\\ ~~~~~~~~= -\frac32[/tex]

The others are flavors of [tex]\zeta(2)[/tex].

[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n+1)^2} = \sum_{n=3}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \sum_{n=1}^\infty \frac1{n^2} - 1 - \frac1{2^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6 - \frac54[/tex]

[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n-1)^2} = \sum_{n=1}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6[/tex]

It follows that

[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n^2-1)^2} = \frac14 \left(-\frac32 + \left(\frac{\pi^2}6 - \frac54\right) + \frac{\pi^2}6\right) = \boxed{\frac{\pi^2}{12} - \frac{11}{16}}[/tex]

The degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.

Given, (10x^4y^2 - 9x^3y - 9y) - (5x^4^y2 + 10x^3y + 12y - 8x), to subtract, open the parentheses using the distributive property.

10x^4y^2 - 9x^3y - 9y - 5x^4^y² - 10x^3y - 12y + 8x

Combine like terms together

10x^4y^2 - 5x^4^y² - 9x^3y - 10x^3y - 9y - 12y + 8x

5x^4^y² - x^3y - 12y + 8x

The highest degree is 4. This determines the degree of a polynomial.

Therefore, the degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.

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The confidence limits for the proportion of consumers motivated by advertising in the population, given a confidence level equal to 0.95. is; CI = (0.47, 0.77)

We are given;

Sample Size; n = 60

sample proportion; p' = 65% = 0.65

Confidence level = 0.95

Now, formula for confidence interval of proportion is;

CI = p' ± z√(p(1 - p)/n)

At CL of 95%, z = 1.96Thus;

CI = 0.65 ± 1.96√(0.65(1 - 0.65)/60)

CI = 0.65 ± 1.96√0.00379167

CI = 0.65 ± 0.12

CI = (0.65 - 0.12), (0.65 + 0.12)

CI = (0.47, 0.77)

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Answer:

Step-by-step explanation:

f(x)=-7ex

f(2)=-7e(2)

    f(2)=-10

The number of watts it will consume is 436.32

A light bulb consumes 2400 watts/hour

The number of watts it will consume in 5 days 12 hours can be calculated as follows

The first step is to change 5 days 12 hours to hours

120 hours + 12 hours

= 132 hours

The bulb consumes 2400 watts per hour

= 2400/132

= 18.18

The number of watts consumed in 5 days 12 hours is

= 24 × 18.18

= 436.32

Hence the light bulb will consume 436.32 watt-hour in 5 days 12 hours

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Answer:

True sometimes when it is stressful.

Step-by-step explanation:

Answer:

Step-by-step explanation:

your very right

Answer: correct me if I’m wrong

Step-by-step explanation:

The computation shows that the tons of sugar when they'll have same price is 18 tons.

The first company charges $5500 to rent trucks plus an additional fee of $200.25. Thai will be:

= 5500 + (200.25 × s)

= 5500 + 200.25s

where s = tons of sugar

The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. This will be:

5041 + 225.75s

Then we will equate both of them. This will be:

5500 + 200.25s = 5041 + 225.75s

5500 - 5041 = 225.75d - 200.25s

459 = 25.5s

s = 459/25.5

s = 18

At 18 tons, they'll have same price.

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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. For want mount if sugar do they charge the same price.

Using it's concept, the probability that a randomly selected boy attended the dance is:

7/9.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the table, we have that:

Hence the probability that a randomly selected boy attended the dance is given as follows:

p = 49/63 = 7/9.

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Answer:

140

Step-by-step explanation:

the square root of 16 is 4 so do that times 35

Answer:

• 5/10

• 0.5

Step-by-step explanation:

1.) if you multiply the numerator by 5 and the denominator by 5 you are left with a fraction of 5/10.

2.) the fraction line represents division. So 5 ÷ 10 = 0.5.

Answer:

6.5 kilometers per hour

Step-by-step explanation:

90 minutes is 1  1/2 hours.

to find the unit rate you would divide the distance by the time so you would divide 9.75 by 1.5 (1.5 is the decimal version of 1  1/2) which would give you 6.5 kilometers per hour

Answer:

87+(4+8)=(7+4)+x

87+12=11+x

87+12-11=x

88=x

The option after high school for Jon, an active person, who is interested in higher education but who doesn't want to take out student loans is to take a reflection year.

It should be noted that based on the information, the inference has to do with the conclusion that one gets from the information or evidence that is given earlier.

In this instance, it should be mentioned that Jon, an energetic individual interested in further education but unwilling to take out student debt, has the choice to take a reflection year following high school.

In conclusion, the correct option is C.

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Answer:

its the first alternative

Answer:

8 boys and 16 girls

Step-by-step explanation:

2 boys plus 4 girls is six and six goes into 24 four times so 2 times four is eight and 4 times four is 16

Answer:

Step-by-step explanation: Since there are 24 students in total and the ratio is 2:4 then divide 24 by (2+4) which is 4. So the amount of boys is 2x4 which is 8. The amount of girls is 4x4 which is 16. 8+16=24

Answer:

 does not exist

Step-by-step explanation:

You want an integer between -5 and -6.

The integers -5 and -6 are consecutive integers. There are no integers between these values. (That's what "consecutive" means.)

well, we know they sell a total of about 1100 books monthly, and that nonfiction is 24% of that, what's 24% of 1100?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 1100}}{\left( \cfrac{24}{100} \right)1100}\implies 264[/tex]

The term of highest degree is given as 3x⁴,and it has a positive coefficient. The upper bound is +∞.

To determine the degree of a polynomial just observe the highest power of the given variable.

We have polynomial given by f(x) = 3x⁴ - 7x³  +5x -3

Here we can see that it is a polynomial in of degree 4.

We know that a polynomial of degree has n number of roots so it is obvious a polynomial of degree 4 has 4 roots.

The function that tends to infinity as x goes in both the positive and negative directions.

The term of highest degree is given as 3x⁴,and it has a positive coefficient.

The upper bound is +∞.

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Answer:

70 squares

Step-by-step explanation:

this is my answer to your question

Answer:

Hello,

100

Step-by-step explanation:

a square 4*4 : wide=4 , lenght=4

number of rectangles= wide*(wide+1)*lenght*(lenght+1) /4 = 4*5*4*5/4=100

Proof:

1 per 1 : 16 (rectangles )

1 per 2: 3*4=12

1 per 3: 2*4=8

1 per 4: 1*4=4 so 4*(4+3+2+1)=4*10=40

2 per 1: 4*3

2 per 2: 3*3

2 per 3: 2*3

2 per 4: 1*3 so 3*(4+3+2+1)=30

3 per 1: 4*2

3 per 2: 3*2

3 per 3: 2*2

3 per 4: 1*2 so 2*(4+3+2+1)=20

4 per 1: 4

4 per 2: 3

4 per 3: 2

4 per 4: 1 so 1*(4+3+2+1)=10

Total=40+30+20+10=(4+3+2+1)*(4+3+2+1)=100

The actual height of Caleb based on the ratio in the photograph and actual is 48 inches.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Allison and Caleb's height in the photograph is A' and C' while in actuality it is A and C.

Since the ratio of height in the photograph will same as the ratio in actual life.

Thereby,

C/A = C'/A'

C/60 = 3.2/4

C = 192/4

C = 48 inches.

Hence "The actual height of Caleb based on the ratio in the photograph and actual is 48 inches".

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Given question is incomplete complete question follows ;

In a photograph, Alison stands next to her brother Caleb. Alison is 4 cm tall in the photograph. Her actual height is 60 in. Caleb is 3.2 cm tall in the photograph.

What is his actual height?

(Show your work)

Answer:

Answer is in the picture attached

$32 is the cost of each necktie at full price.

Given that

At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down.

Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price.

He paid a total of $162.

To find

What is the cost of each necktie at full price ?

So, according to the question

we have,

On that end-of-season sale

Total purchased neckties = 6

Discount on each neckties = $5

Amount paid by him = $162

Let's assume the full price of one neckties is $x.

So,

    The price of one neckties after discount = x - 5.

     So the price of one neckties after discount = 6(x-5)

     He paid $162 for 6 neckties,

So we can say that

       the price of one neckties after discount =  $162

So,

         6(x-5) = 162

             x-5 = 162/6      

             x-5 = 27

                x = 27+5

                 x = 32

The cost of each necktie at full price is $32.

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The probability that you will not go on to a career in physics is 0.215.

From the information, the test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 55% of the seniors who do go on to a career in physics still fail the test and 75% of all senior physics majors in fact go on to a career in physics.

Therefore, the probability that you will not go on to a career in physics will be:

= (1 - 0.75) / (0.75 × 0.55) + (0.75)

= 0.25 / (1.1625)

= 0.215

Therefore, the probability that you will not go on to a career in physics is 0.215.

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Answer:

All I can think of is ¨pattern¨