On a 10 item test, three students in prof. miller's advanced chemistry seminar received scores of two, five, and eight, respectively. for this distribution of test scores, standard deviation is equal to the square root of

Answers

Answer 1
Your set is 2, 5 and 8.

In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
    = 15 / 3
    = 5

Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3 
   = 18 / 3
   = 6

The standard deviation is the square root of the variance:
σ = √6 
   = 2.45

In conclusion, the standard deviation can be calculated by the formula:
[tex]\sigma = \sqrt{ \frac{\sum(v - m)^{2} }{n} } [/tex]

Answer 2

The standard deviation for the given test scores can be calculated by finding the mean, computing the squared differences from the mean, averaging those squared differences to get the variance, and then taking the square root of that variance. The standard deviation for the scores is approximately 2.449.

The student is likely seeking assistance with the concept of standard deviation, which is a measure of dispersion or distribution around the mean in a set of data. The question at hand requires calculating the standard deviation for a small dataset consisting of three scores from a chemistry seminar. To find the standard deviation, one would first need to calculate the mean of the test scores, then find the variance by averaging the squared differences between each score and the mean, and finally, take the square root of the variance.

Step-by-step Calculation:

Calculate the mean (average) of the scores: (2 + 5 + 8) / 3 = 15 / 3 = 5.Find the squared differences from the mean: (2 - 5)² + (5 - 5)² + (8 - 5)² = 3² + 0² + 3² = 9 + 0 + 9.Calculate the variance: (9 + 0 + 9) / 3 = 18 / 3 = 6.The standard deviation is the square root of the variance: √(6) = 2.449

The standard deviation of the test scores in Prof. Miller's advanced chemistry seminar is approximately 2.449.


Related Questions

Mr. Hart is hanging a picture on a wall. the picture frame has a length of 13 inches and a width of 9 inches. how much wall space will the picture need?

Answers

I believe what we are looking for is area. If so the formula for area of a rectangle is area equals width times length
A=wl

So:

9*13=117

The area would be 117, the amount of wall space needed is 117.

Hope this helps:)

To determine the wall space needed for Mr. Hart's picture, calculate the area of the rectangle formed by the picture's dimensions: length (13 inches) times width (9 inches), resulting in 117 square inches of wall space.

The student's question about Mr. Hart hanging a picture on a wall involves calculating the wall space the picture will occupy. This is essentially a question about finding the area of a rectangle. To find the area, one must multiply the length by the width of the rectangle. In this case, the length of the picture frame is 13 inches and the width is 9 inches. The calculation will be:

Area = Length × Width

Area = 13 inches × 9 inches

Area = 117 square inches

Therefore, the picture will need 117 square inches of wall space.

On average, Scott drinks ½ of a 6-ounce glass of water in ⅔ hour. How much water does he drink in an hour?
a) 0.75 ounces b) 2 ounces c) 4.5 ounces d) 9 ounces

Answers

1/2 a 6 ounce glass is 3 ounces. He drinks 3 ounces in 2/3 of an hour.

3/2 = 1.5. He drinks 1.5 ounces in one third of an hour. 1.5 * 3 = 4.5

C. 4.5 ounces in one hour

A piggy bank contains the same number of quarters, nickels, and dimes. the coins total $4.40. how many of each type of coin does the piggy bank contain?

Answers

Let the number of each coin be n.

The total sum of these coins is $4.40. So we can write:

n Nickles + n Dimes + n Quarters = 4.40

0.05n + 0.10n + 0.25n = 4.40

0.40n = 4.40

n = 11

So this means, there are 11 coins of each type. 

Answer: 11 of each type

Step-by-step explanation:

Calculate cos theta where theta is the angle between u and v

Answers

You need to upload the image if you want the answer.
However, I can explain how to solve the problem so that you can determine the angle.

cos theta = side opposite of theta divided by the hypotenuse.

Reminder that the hypotenuse is the side NOT touching the 90° angle.

Hope this helps!  If not, upload an image of the drawing.

The slope of BY is -1/5, and BYllJE
What is the slope of JE?

-5
-1/5
1/5
5

Answers

I believe "BY || JE" means that those two lines are congruent, which means the slope of JE would be the same as the slope of BY. So in this case the answer should be B. -1/5.

I hope this helped.
parallel lines have the same slope, so the answer is -1/5

How many solutions are there for the system of equations shown on the graph?

No solution

One solution

Two solutions

Infinitely many solutions

Answers

If one line on top of the other then Infinitely many solutions.

If the lines are parallel then No solution.

Answer:

D.  Infinitely many solutions

Step-by-step explanation:

We have been given an image of two lines on coordinate plane. We are asked to find the number of solutions for our given lines.

Upon looking at our given graph, we can see that both lines are same. Since both lines coincide, therefore, each point on the line will be solution of our given lines.

Therefore, our given lines will have infinitely many solutions and option D is the correct choice.

In a study of 38% of adults questioned reported that their health was excellent. a researcher wishes to study the health of people living close to a nuclear power plant. find the probability that when 11 adults are randomly selected, at most 3 are in excellent health

Answers

The probability that when 12 adults are randomly selected, 3 or fewer are in excellent health is 0.947.

To find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health, we can use the binomial distribution formula.

The formula for the probability of getting exactly k successes in n trials, with a probability of success p, is:

P(X = k) = (n choose k) * (p^k) * ((1-p)^(n-k))

In this case, n = 12, k = 3, and p = 0.38 (as 38% of adults reported excellent health).

So, the probability that 3 or fewer adults are in excellent health can be calculated as follows:

P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Let's calculate each term:

P(X = 0) = (12 choose 0) * (0.38^0) * (0.62^12) = 0.190P(X = 1) = (12 choose 1) * (0.38^1) * (0.62^11) = 0.342P(X = 2) = (12 choose 2) * (0.38^2) * (0.62^10) = 0.269P(X = 3) = (12 choose 3) * (0.38^3) * (0.62^9) = 0.146

Adding up these probabilities:

P(X <= 3) = 0.190 + 0.342 + 0.269 + 0.146 = 0.947

Rounded to three decimal places, the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health is 0.947.

The probable question may be:

In a study, 38% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 12 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health. Round to three decimal places.

Is the mean value theorem for integrals the same as the mean value thoerem for derivatives?

Answers

Yes. The two theorems are equivalent statements given that the fundamental theorem of calculus is true.

Answer:

a^2 + b^2 =C^2

Step-by-step explanation:

What is the surface area of the prism? Include steps.

Answers

First things first. This is a rectangular prism, so it's faces are all rectangles.

Area of a rectangle: Area = Length x Height

- Rectangular Prism Dimensions:

Length: 3m
Width: 4m
Height: 2m


To calculate the surface area of a rectangular prism we first need to realize that he has 3 pairs of equal rectangles.

- The first pair (Photo 1):

Two rectangles with the same measure, so we can say that the area of this pair is: (L x H) x (L x H) or 2 x (L x H).

-> Area (Pair 1) = 2 x (3 x 2) = 2 x 6 = 12m^2

But if we will do the same thing to 3 different pairs, we can describe that:

- Total Surface Area (At):

At = 2 x (L x H) + 2 x (L x H) + 2 x (L x H)

-> At = 2 x ((L x H) + (L x H) + (L x H))

So now, just put the values inside de formula,

- Pair 1: Length = 3m ; Height = 2m

- Pair 2: Length = 4m ; Height = 2m

- Pair 3: Length = 4m ; Height = 3m

*I know that this pair doesn't have a "real Height" but this doesn't change anything when solving, you can consider the 4m as height and the 3m as length or vice versa, the order of the factors doesn't change the product.

-> At = 2 x ((3 x 2) + (4 x 2) + (4 x 3))
-> At = 2 x (6 + 8 + 12)
-> At = 2 x (26)

-> At = 52 m^2

You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many slices will you be able to cut?

Answers

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

[tex]A= \pi r^{2}[/tex]

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

[tex]A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}[/tex]

Let's name n the number of slices, if we divide the total area by n this result, each area  must equal, then:

[tex] \frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}[/tex]

Finally, we will be able to cut:

[tex]n= \frac{2\pi}{\theta}[/tex] Slices

Sara loves to go hiking this weekend she hiked 3 miles on Monday 4 miles on Tuesdays and 3 miles on Thursday .last week Sara hiked 8 miles. How many more miles did Sara hike this week than last week

Answers

This week: 4+3+3 = 10
Last week: 8
Difference: 10 - 8 = 2
Sarah walked two more miles this week than last week.

Answer:

2 miles

Step-by-step explanation:

Sara loves to go hiking.

She hiked 3 miles on Monday 4 miles on Tuesdays and 3 miles on Thursday.

Last week Sara hiked 8 miles

This week sara hiked = Monday + Tuesday + Thursday

                                   = 3 + 4 + 3

                                  = 10 miles

     Last week hiked = 8 miles

Difference in two week hiked by Sarah = 10 - 8

                                                                    = 2 miles

So, Sarah hike 2 miles more than last week.

The diameter of Jupiter is 88,000 miles This is about 11.1 times the diameter of Earth What is the diameter of the earth

Answers

assuming that Jupiter and Earth are similar
linear sale factor=(diameter of Jupiter) /(diameter of earth)=11
thus:
diameter of earth=(diameter of Jupiter)/(linear scale factor)
=88000/11
=8000 miles
The diameter of earth is 8000 miles

42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year. Which equation may be used to determine the number of years before the populations are equal?

Answers

Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years

PLEASE ANSWER + BRAINLIEST!!!

What is the sum of the polynomials?

A. 10x^2 - 9

B. 11x^2 - x - 9

C. 11x^2 + x - 1

D. 12x^2 - 1

Answers

C is the correct answer

Which of the following is equivalent to C(16, 4)?

answer choices:
12!
C(16, 12)
C(15, 3)

Answers

the answer to this question is C (16,12)

Answer- C(16,12)


C(n,r) = n! / r!* (n-r)!

So,

C(16,4) = 16!/ 4! * 12!

C(16,12) = !6!/ 12! * 4!


A fair coin is tossed three time sin succession. the set of equally likely outcomes is {hhh,hht,hth,thh,htt,tht,tth,ttt}. find the probabilty of getting exactly zero tails

Answers

There are 8 possible outcomes so that means the probability will have a denominator of 8.

Now, there is only one of the eight outcomes that has zero tails.

Therefore the probability of getting zero tails after tossing a fair coin three times in succession is


[tex] \frac{1}{8} [/tex]

For what value of a does (1/9)^a+1 = 81^a+1 x 27^2-a?

Answers

The answer for a should equal to -3 in the equation given

Solution:
(1/9)^(a+1)=81^(a+1) x 27^(2-a), then the answer would be a=-3.

Answer:

-4

Step-by-step explanation:

Next time use the internet :)

On a​ map, the distance between two cities is 2.4 inches. the two cities are actually 768 miles apart. on this same​ map, what would be the distance between two cities in miles that are 4.8 inches apart on the​ map?

Answers

2.99 inches. (To the nearest tenth would be 3)

Use double angle to rewrite 12sinxcosx

Answers

Final answer:

To rewrite 12sinxcosx using the double angle formula, multiply by (1/2) and use the formula for sin(2x) to obtain the answer of 12sin(2x).

Explanation:

To rewrite 12sin(x)cos(x) using the double angle formula, we need to know the formula for sin(2x) and cos(2x). The double angle formula for sine is sin(2x) = 2sin(x)cos(x), and for cosine it is cos(2x) = cos^2(x) - sin^2(x). Let's use these formulas to rewrite the expression:

12sin(x)cos(x) = 12 * (1/2) * 2sin(x)cos(x), since 1/2 is the value of cos^2(x) - sin^2(x).12 * (1/2) * 2sin(x)cos(x) = 6 * 2sin(x)cos(x).6 * 2sin(x)cos(x) = 12sin(2x). This is our final answer, using the double angle formula to rewrite the original expression.

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Final answer:

The expression 12sinxcosx can be rewritten as 6sin(2x) by using the double angle formula for sine.

Explanation:

The expression 12sinxcosx can be rewritten using the double angle formula for sine, which is sin(2a) = 2sina ⋅ cosa. By comparing this to the given expression, we can see that it is in the form of the right-hand side of the double angle formula, where a is equivalent to x. Therefore, the expression can be rewritten as 6sin(2x). Such double angle formulae are available for other trigonometric ratios as well.

Simplify the expression below. 6n2 - 5n2 + 7n2

Answers

The answer to the question is
18n^2
The answer is 8n^2. You just simplify the expression.

PLEASE HELP. evaluate the radical 3√1000

Answers

3√1000 = 3*31.623 = 94.87

We can also do this by doing √9000 which is also 94.87

triston is baking specity bread for the school bake sale. she has 10 1/2 cups of flour. the recipe for 1 loaf of bread calls for 2 1/3 cups of flour. How many whole loaves of bread can she make.

Answers

Triston can make a total of 4 loafs

Triston can make 4 whole loaves of bread using her 10 1/2 cups of flour. This was determined by dividing the total flour available by the flour required per loaf. Fractional or partial loaves are not counted.

To determine how many whole loaves of bread Triston can make, we need to perform a simple division of the total amount of flour by the amount required for one loaf.

First, let's convert the mixed numbers to improper fractions:

10 1/2 cups of flour = 21/2 cups of flour2 1/3 cups of flour = 7/3 cups of flour

Next, we will divide the total flour by the flour needed per loaf:

(21/2) ÷ (7/3) = (21/2) × (3/7) = (21 × 3) / (2 × 7) = 63/14 = 4.5 loaves

Since we can only make whole loaves, Triston can make 4 whole loaves of bread.

What is 6.8 rounded to the nearest ones place?

Answers

6.8 ≈ 7

6.8 is nearer to 7 than to 6. so, 6.8 ≈ 7


                                                            ↓
|------|------|------|------|------|------|-----|------|------|------|
6   6.1  6.2    6.3   6.4  6.5   6.6  6.7  6.8   6.9   7

Answer: 7

help please, i don't understand it!!!!

Answers

[tex]V=\dfrac{4}{3}\pi r^3\ \ \ |\cdot\dfrac{3}{4}\\\\\pi r^3=\dfrac{3V}{4}\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{4\pi}\ \ \ |:r\\\\r^2=\dfrac{3V}{4\pi r^2}[/tex]

Substitute to S.A.

[tex]S.A.=4\pi r^2=4\pi\cdot\dfrac{3V}{4\pi r^2}=\dfrac{3V}{r}[/tex]

[tex]\dfrac{S.A.}{V}=\dfrac{4\pi r^2}{\frac{4}{3}\pi r^3}=\dfrac{3}{r}[/tex]

[tex]\dfrac{S.A.}{V}=1\to\dfrac{3}{r}=1\to r=3[/tex]

Answer: B

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Ratios

Ms. Grande brought 24 apples and 18 oranges for a party after a class play. Find the ratio of the number of apples to the total number of fruits Ms. Grande bought.

There are 44 chicken and fish filets altogether in a freezer. There are 12 chicken filets. Which is the ratio of the number of chicken filets to the number of fish filets in the freezer?

There were 12 boys and 18 girls in a class. Then, 3 more boys joined the class and 2 girls left. What is the ratio of the number of boys to the number of girls in the class now?

Monica had $42 and Naomi had $18 at first. Monica then gave $6 to Naomi. What is the ratio of the amount of money Monica has to the amount of money Naomi has in the end?

Answers

1) 6:3
2) 11:3
3) 15:16
4) 3:2
Final answer:

To find the ratio of the number of apples to the total number of fruits, divide the number of apples by the total number of fruits. Simplify the ratio by dividing both numbers by their greatest common factor. For the ratio of chicken filets to fish filets, divide the number of chicken filets by the total number of filets. Simplify the ratio if possible. To find the ratio of boys to girls, determine the new number of boys and girls after some changes. For the ratio of money, calculate the amounts each person has and simplify the ratio.

Explanation:

To find the ratio of the number of apples to the total number of fruits, we divide the number of apples (24) by the total number of fruits (24 apples + 18 oranges = 42). This gives us a ratio of 24:42. We can simplify this ratio by dividing both numbers by their greatest common factor, which is 6. So the simplified ratio is 4:7.

For the second question, we need to find the ratio of the number of chicken filets to the number of fish filets. There are 12 chicken filets and a total of 44 filets in the freezer. So the ratio is 12:44. This can also be simplified by dividing both numbers by 4, giving us a simplified ratio of 3:11.

In the third question, we start with 12 boys and 18 girls. Then, 3 more boys join and 2 girls leave. So the new number of boys is 12 + 3 = 15, and the new number of girls is 18 - 2 = 16. The ratio of boys to girls is therefore 15:16.

In the fourth question, Monica has $42 and Naomi has $18. When Monica gives $6 to Naomi, Monica will have $42 - $6 = $36 left, and Naomi will have $18 + $6 = $24. The ratio of the amount of money Monica has to the amount of money Naomi has is 36:24, which can be simplified to 3:2.

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In the circle below, radius mn = 1.4 m and mlmn = 52°. determine the length of arc ln. round your answer to the nearest tenth and use π = 3.14.

Answers

The arc length is given by:
Arc length=θ/360×π×d
θ=52
d=2×1.4=2.8 m
thus
Arc length will be:
52/360×3.14×2.8
=1.27 m

Answer:

1.27 is the answer

Step-by-step explanation:

Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .

Answers

Use the table to determine the following probabilities.

The probability that a randomly chosen person from this group has type B is 3/25

The probability that a randomly chosen person from this group has type AB is 1/25

The probability that a randomly chosen person from this group has type B or type AB blood is 4/25

The probability that a randomly chosen person is:

first person: 3/25

second person: 1/25

third person: 4/25

Probability

Use the table to determine the following probabilities.

The probability that a randomly chosen person from this group has type B is 3/25.

The probability that a randomly chosen person from this group has type AB is 1/25.

The probability that a randomly chosen person from this group has type B or type AB blood is 4/25.

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Find the value of x.
The polygons are similar, but not necessarily drawn to scale.

Answers

[tex] \dfrac{12}{40} = \dfrac{3}{x} [/tex]

Cross multiply:
[tex]12x = 3 \times 40[/tex]

Evaluate RHS:
[tex]12x = 120[/tex]

Divide both sides by 12:
[tex]x = 10[/tex]

Answer:

[tex]x=10 units[/tex]

Step-by-step explanation:

Given: The polygons ABCD and JKLM are similar.

To find: The value of x.

Solution: Since, the given polygons are similar, therefore using the similarity condition, we have

[tex]\frac{AD}{JM}=\frac{CD}{LM}[/tex]

Substituting the given values, we get

[tex]\frac{12}{40}=\frac{3}{x}[/tex]

On cross multiplying, we get

[tex]\frac{3\times40}{12}=x[/tex]

[tex]x=10 units[/tex]

Therefore, the value of x is 10 units.

The real number 8.09 belongs to which set of numbers??


A-natural numbers


B-integers


C-irrational numbers


D-rational numbers


Answers

Hi! I believe it's D. rational numbers

Hope this helps!
Answer is: D - rational numbers

8.09 can be rewritten as 8 9/100, which in turn can be rewritten as 809/100. This is the ratio of two integers. So, 8.09 is rational.

geometry question!! 50 POINTS

Answers

Volume ratio is 686/250 = 2.74
Area ratio is
                                                                                                250 yd^3
radii?  First solid has vol 250 yd^3 = (4/3)*pi*r^3; find r^3  = --------------
                                                                                               (4/3)*pi

Then r^3 = 187.5 yd^3, and r = 5.724 yd

Second solid has vol 686 yd^3 ....  Please find the radius R using precisely the same method.

Then calculate the ratio of the surface areas of the 2 solids:

Solid 1 surface area        4*pi* R^2
----------------------------- = ---------------    where R is the radius of the larger 
Solid 2 surface area        4*pi*r^2        solid and r is the radius of the smaller
                                          
                                           R^2
This ratio comes out to   ----------
                                            r^2

Scale factor?  Obviously one solid is larger than the other.  We have to figure out by how much, by comparing volumes.  Actually, we've already done that (see above).  We could also determine how much larger R is than r.  That, too, would give us the scale factor.

Answer:

2.74

Step-by-step explanation:

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