Which formula is used to calculate the standard deviation of sample data?

Answer:

The answer is option 3.

Step-by-step explanation:

Given that the Indices Law is,

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

For n^(-6)p³ :

[tex] {n}^{ - 6} \times {p}^{3} [/tex]

[tex] = \frac{1}{ {n}^{6} } \times {p}^{3} [/tex]

[tex] = \frac{ {p}^{3} }{ {n}^{6} } [/tex]

Answer:

the answer would be C

Step-by-step explanation:

i had that test

Answer:

The height of the clothing truck is 6 feet

Step-by-step explanation:

Length of truck = 12 feet

Width of truck = 8 feet

Let h be the height of truck

Volume of truck which is shaped like rectangular prism =[tex]Length \times Width \times Height[/tex]

Volume of truck which is shaped like rectangular prism =[tex]12 \times 8 \times h[/tex]

We are given that The volume of the truck 576 ft cubed.

So, [tex]12 \times 8 \times h = 576[/tex]

[tex]h = \frac{576}{12 \times 8}[/tex]

h=6

Hence the height of the clothing truck is 6 feet

Answer: As to confirm, a and d are right. I got it on edge

For survey questions specifically for elementary school students, the questions 'What is the average number of days per week that you color with markers?' and 'What is your favorite type of pet?' would be suitable.

In relation to the population of elementary school students, there are certain survey questions that would be relevant and gather pertinent data. Among the options given, the questions that would be suitable are:

'What is the average number of days per week that you color with markers?'

'What is your favorite type of pet?'

These two questions relate directly to the activities and preferences typical of elementary school students, thus can provide relevant data if one is conducting a survey with this specific population. The other questions about accountant salary, raining days, and redwood tree height, do not directly relate to this population and thus are not viable options for this survey.

https://brainly.com/question/32318575

#SPJ3

Answer:

Cos 35

Step-by-step explanation:

They have the same answer when typed in a calculator

Answer:

1) a. CI = 0.426 < p < 0.574

2) c. CI = 2.74% < p < 6.524%

3) a. CI = 20 < μ < 22

4) c. CI = 81.11 < μ < 85.09

5) b. CI = 76.21 < μ < 89.79

6) d. $453.59 < μ < $874.69

7) d. CI = $559 < σ < $1953.3

8) c. CI = $3.96 < σ < $6.72

9) c. 6.22 ft < σ < 12.59 ft

10) d. 0.19 oz < σ < 0.72 oz

Step-by-step explanation:

The Confidence Interval, CI are given as follows

For the population proportion

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

1)  [tex]\hat p[/tex] = 55/110 = 0.5

z at 88% = ±1.56

a. CI = 0.426 < p < 0.574

2)  [tex]\hat p[/tex] = 31/669 = 0.5

z at 98% = ±2.326

c. CI = 2.74% < p < 6.524%

3) Here we have unknown population standard deviation, so we find the t interval

[tex]\bar x[/tex] = 21

n = 130

s = 3.0

Confidence level = 98%

[tex]CI=\bar{x}\pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

[tex]t_{\alpha /2}[/tex] = ±2.356

CI = 20.380 < μ < 21.62

Rounding up gives;

a. CI = 20 < μ < 22

4) Similarly here we have;

[tex]t_{\alpha /2}[/tex] = ±1.699 and

c. CI = 81.11 < μ < 85.09

5) Here

[tex]\bar x[/tex] = 83

s = 13.5

n = 30

Confidence level = 99%

[tex]t_{\alpha /2}[/tex] = ±2.76 and

b. CI = 76.21 < μ < 89.79

6) In the question, we have

[tex]\bar x[/tex] = $664.14

s = $297.29

n = 14

Confidence level = 98%

[tex]t_{\alpha /2}[/tex] = ±2.65 and

CI = $453.56 < μ < $874.72

d. $453.59 < μ < $874.69

7) The confidence interval for a population standard deviation is given by the following relation;

[tex]\sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

Here

n = 9

x = $3959

s = $886

Therefore we have

d. CI = $559 < σ < $1953.3

8) Here we have;

n = 41

x = $108

s = $5

Therefore;

c. CI = $3.96 < σ < $6.72

9) Here we have;

n = 29

x = 65 ft

s = 8.5 ft

Therefore we have

CI = 6.3 ft < σ < 12.73 ft

c. 6.22 ft < σ < 12.59 ft

10) Here we have

n = 8

s = 0.301188123

d. 0.19 oz < σ < 0.72 oz.

Answer:

D

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{AC}{AE}[/tex], substituting values

[tex]\frac{m}{m+n}[/tex] = [tex]\frac{p}{p+q}[/tex] → D

Answer:

x= 6

Step-by-step explanation:

We can use the Pythagorean theorem to find x

x^2 + 2.5^2 = 6.5 ^2

x^2+ 6.25 =42.25

Subtract 6.25 from each side

x^2+ 6.25-6.25 =42.25-6.25

x^2 =36

Take the square root of each side

x = sqrt(36)

x= 6

Answer:

x=6

Step-by-step explanation:

This is a right triangle, because of the little square in the corner. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where a and b are the legs and c is the hypotenuse.

In this triangle, we know that 2.5 and x are the legs, because they form the right angle. We know that 6.5 is the hypotenuse, because it is opposite the right angle.

Therefore, 2.5 and x are a and b, and 6.5 is c.

2.5^2+x^2=6.5^2

Evaluate the exponents

6.25+x^2=42.25

Since we are trying to find x, we have to get x by itself. First, subtract 6.25 from both sides

6.25-6.25+x^2=42.25-6.25

x^2=36

Next, take the square root of both sides, because x is being squared.

[tex]\sqrt{x^2}=\sqrt{36[/tex]

x=6

Answer:

We don't know the price of the roses, so there is not enough information to answer.

Answer:c

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Draw a line with points on it from -10 to 10 going by 1

Put a dot at -5 for the -5 point

-(-5) is 5

Put a dot at 5

Answer:

Draw a straight horizontal line, and mark integers on it in increasing order as you move towards the right

Start counting from 0.

For -5, place a mark 5 units towards left of 0

For -(-5), which is actually +5, place a mark 5 units towards right of 0

Answer:

287 rounded to the nearest hundred would be 300.

Answer:

300

Step-by-step explanation:

Note the hundreds place value (bolded and underlined)

287

Look at the place value directly next to it (the tens place value). It is an 8. Because 8 is greater than 5, round up:

287 rounded to the nearest hundreds is 300.

300 is your answer.

~

Answer:

.25 or 25%

Step-by-step explanation:

.5 × .5 = .25 or 25%

Final answer:

The probability of at least two coins landing on heads can be found by calculating the probabilities for each possible number of heads (2 to 10), and adding them together, or by subtracting the probabilities of 0 or 1 head from 1. Each toss has a 50% chance, and binomial probabilities can be used for detailed calculations.

Explanation:

The question is about calculating the probability of at least two coins landing on heads when tossed multiple times. To solve this type of probability problem, one must consider all possible outcomes and then identify the number of favorable outcomes. Assuming each coin tossed is fair, the chance of landing on heads for any single toss is 50%.

Let's consider tossing a coin ten times. Theoretically, one could get an outcome with any number of heads ranging from 0 to 10. To specifically address the probability of getting at least two heads, you would add up the probabilities of getting 2 heads, 3 heads, ..., up to 10 heads. For example, the probability of getting exactly 2 heads in 4 tosses can be calculated using the binomial probability formula, which in this case would be P(X = 2) = (4 choose 2) * (0.5)^2 * (0.5)^(4-2), and you would perform similar calculations for each number of heads from 2 to 10.

The probabilities for getting 0 or 1 heads can be subtracted from 1 to find the probability of getting at least 2 heads. This approach is often easier than adding up all the individual probabilities for 2 to 10 heads. For instance, the probability of getting at least one (one or two) tail in two flips is P(F) = 3/4, where F is the event of getting at least one tail which includes the outcomes HT, TH, and TT.

all stars show a pattern

Answer:

Clayton's average points per game is 10

Step-by-step explanation:

To find an average add all the numbers and divide the sum by the amount of numbers added.

In this case, 10 + 14 + 6 = 30. [tex]\frac{30}{3}[/tex] = 10

Hope this helps!

-MoCKEry

Answer:

Your answer is 2/13

Step-by-step explanation:

i wrote it out as kings/aces but, it works the same exact way for your question.

Answer:.88

Step-by-step explanation:

Answer:

32ft^2

Step-by-step explanation:

because Area of the surface triangle is A = 1/2ap

So its 4 * 16 divided by 2

Answer:

I AM PRETTY SURE IT IS 4.4K

Step-by-step explanation:

Answer:

$2.54

Step-by-step explanation:

Tips are percentages of the meal prices.  Divide the tip by the meal price to find the percentage that the tip is of the meal.

9.20/78.00 = 0.118 = 11.8%

Multiply the second meal by the percentage calculated.

21.5 × 0.118 = 2.54

The tip for the second meal is $2.54

Answer:

5.5

Step-by-step explanation:

In the tenths place is the 4, so you have to round from the place behind it, the 7. You round up to 5 because 7 is greater than 5.

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Step-by-step explanation:

In 5.4772, 4 represents your tenths place.

So, now you round based on the number beside 4 which is 7. Since 7 is greater than 5, you will round 4 up one.

So, 5,4772 becomes 5.5

5.5 is  5.4772 rounded to the nearest tenth,

Answer: 15%-8%=C

Step-by-step explanation:

Answer:

Well, you didnt include answers, but... here's the explanation.

Step-by-step explanation:

Ok so, the sale is 15% off.  As an example, lets use $10 as the original price.  15% off of $10 = 1.5, so we subtract 10 - 1.5 = 8.5.  Now, if the sale tax is 8%, we need to add 8% of 10, which is 0.8 - Now we get our final equation to calculate p, which is 8.5 + 0.8 = P.  8.5 + 0.8 = 9.3, and so the final price after discount AND sales tax are included is $9.3 - Hope this helped.  Mark me as brainliest please :)

Answer:

y = (5/2)x - 6

Step-by-step explanation:

We need to use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Slope is the change in y divided by the change in x. Given the two points, we can find the difference in the y-coordinates and divide that by the difference in the x-coordinates:

m = (-11 - (-1)) / (-2 - 2) = -10 / (-4) = 5/2

Now, we have:

y = (5/2)x + b

Substitute one of the given points for x and y to solve for b:

-1 = (5/2) * 2 + b

-1 = 5 + b

b = -1 - 5 = -6

The answer is y = (5/2)x - 6.

Answer:

y = (5/2)x - 6

Step-by-step explanation:

Slope: (-1 - -11)/(2 - -2)

10/4

5/2

y = (5/2)x + c

-1 = (5/2)(2) + c

-1 = 5 + c

c = -6

y = (5/2)x - 6

Answer:

1350

Step-by-step explanation:

1000 to 1100 is an increase of 100 bacteria per 6 hours

100/6 = 16.67 bacteria per hour

16.67 * 15 hours = 250

Total bacteria should be 1100+250= 1350

hope this helps :D

Answer:

1,500 bacteria.

Step-by-step explanation:

I don't know what P=Aekt means but I understand the rest:

Hour 0: 1,000 bacteria

Hour 6: 1,300 bacteria

We can conclude from this evidence that it takes 6 hours to grow 300 new bacteria.

Let's use a ratio

new bacteria : hours

      300          :     6

        50          :      1

       500         :     10

So we get 500 new bacteria after 10 hours. Using our original population of 1,000 and our new added members, we get 1,500 bacteria at Hour 10.

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because two points determine a line, you can draw altitude​ BD perpendicular to AC with height h. By the definition of a sine ratio, sin(C) = h/a, which can be rearranged into​ a·sin(C) = h​. The area of △ABC is A=1/2bh. The substitution property of equality can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the commutative property of multiplication.

___

The mnemonic SOH CAH TOA reminds you that the sine ratio is ...

  Sin = Opposite/Hypotenuse

Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...

  sin(C) = h/a

__

The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:

  1/2bh = 1/2ba·sin(C)

__

The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...

  ba = ab

and

  A = 1/2ba·sin(C) = 1/2ab·sin(C)

Answer:

Other user is correct

Step-by-step explanation:

Answer:

multiply it and add see if that's gives u the answer

Final answer:

Destiny needs to prepare at least 3 pans of her gelatin dessert to provide enough servings for 9 people, with each pan holding 8 servings.

Explanation:

Calculating the Minimum Number of Pans Needed

To find out the minimum number of pans Destiny needs to feed 9 people, we need to determine the total number of servings required and then see how many 8-serving pans will cover that need. Destiny plans 16 servings for every 6 people. So for 9 people, we calculate how many servings we would need using a simple proportion:

(16 servings / 6 people) = (x servings / 9 people)
Cross-multiply to solve for x: (16 servings × 9 people) = (x servings × 6 people)
144 servings = 6x servings
Divide both sides by 6: x = 24 servings

Destiny needs 24 servings for 9 people. Each pan holds 8 servings, so the number of pans needed is:

24 servings ÷ 8 servings per pan = 3 pans

Therefore, to make enough gelatin desserts to feed 9 people, Destiny needs at least 3 pans.