Calculate the two-sided 95% confidence interval for the population standard deviation (sigma) given that a sample of size n-9 yields a sample standard deviation of 17.45 Your answer: O 13.14

Answer:

\( - x ^{2} - 2x + 5\)

pls mark as brainliest lol

Answer:

The answer is $35

Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.

Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.

The given problem has been solved by using the properties of fractions.

The complete question that you might be looking for is-

Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?

Learn more about Fractions on

https://brainly.com/question/10354322?referrer=searchResults

#SPJ4

Because r must be between -1.00 and +1.00 and the closer to either indicates a stronger relationship, the strongest must be -0.74. It is a strong negative correlation.

Any statistical association, whether causal or not, between two random variables or bivariate data is referred to in statistics as correlation or dependency. A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

A relationship between two variables is said to have a positive correlation when both variables move in the same direction. Consequently, when one variable rises as the other rises, or when one variable falls while the other falls. The link between height and weight is a good example.

Learn more about correlation here

https://brainly.com/question/4219149

#SPJ4

Answer:

Step-by-step explanation:

Answer for this question is option (c) 0.2344

Approach:

The probability of getting a Head in single toss

x= 1/2

The probability of not getting a Head in single toss

y= 1 - 1/2 = 1/2

Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses

= ⁶C₂ * (1/2)² * (1/2)⁶⁻²

= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)

= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)

= 15/64

= 0.234374

= 0.2344 (Round off value)

#SPJ4

Given:

A fair coin is tossed 6 times.

To find:

Probability that you will toss exactly 2 heads.

Probability that you will get a head in a single toss is: Q = 1/2

Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2

We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)

Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²

Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)

Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)

Probability = 15 / 64

Probability = 0.234374

Probability = 0.2344

Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344

Find out more about probability from: https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

Learn more about ratios here:

https://brainly.com/question/19220252

#SPJ1

The required integral is (1/2) * (e^(1/e)/ln x)

Evaluate the integral. ∫(e^(1/e))/(x(ln x)^2) dx :

To evaluate the given integral, we use integration by substitution method where u = ln x ⇒ du/dx = 1/x ⇒ dx = x du

Making the substitution in the integral, we get ∫(e^(1/e))/(u^2) du

Here, we can use integration by parts method where dv = e^(1/e) ⇒ v = e^(1/e)/1/e = e^(1/e) * e = e^[(1 + e)/e]u^-1⇒ du = - u^-2 du

Putting these values in the integration by parts formula ∫v du = u v - ∫v du, we get ∫(e^(1/e))/(u^2) du = - (e^(1/e)/u) - ∫(- e^(1/e)/(u^2)) du= - (e^(1/e)/u) + ∫(e^(1/e))/(u^2) du

On adding (e^(1/e)/u) to both sides of the equation, we get

2∫(e^(1/e))/(u^2) du = (e^(1/e)/u)

⇒ ∫(e^(1/e))/(u^2) du = (1/2) * (e^(1/e)/u)

Let u = ln x

⇒ ∫(e^(1/e))/(u^2) du = ∫(e^(1/e))/(ln x)^2 dx = (1/2) * (e^(1/e)/ln x)

Therefore, ∫(e^(1/e))/(x(ln x)^2) dx = (1/2) * (e^(1/e)/ln x)

So, the required integral is (1/2) * (e^(1/e)/ln x)

Know more about integral  here,

https://brainly.com/question/31109342

#SPJ11

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

Learn more on Point-slope form of the equation of a line here: https://brainly.com/question/11624671

#SPJ1

The probability that a randomly selected passenger car gets more than 35 mpg is approximately 38.4%.

To find the probability that a randomly selected passenger car gets more than 35 mpg, we need to use the normal distribution with a mean of 33.7 mpg and a standard deviation of 4.4 mpg.

First, calculate the z-score for 35 mpg using the formula:

z = (X - μ) / σ

where X is the value (35 mpg), μ is the mean (33.7 mpg), and σ is the standard deviation (4.4 mpg).

z = (35 - 33.7) / 4.4
z ≈ 0.295

Now, we use a z-table or calculator to find the probability for a z-score of 0.295. The table shows the probability to the left of the z-score, so we need to find the complement to get the probability of a car getting more than 35 mpg.

P(Z > 0.295) = 1 - P(Z ≤ 0.295)
P(Z > 0.295) ≈ 1 - 0.616
P(Z > 0.295) ≈ 0.384

Learn more about Probability here: brainly.com/question/30034780

#SPJ11

Answer:

1080ft cubed

Step-by-step explanation:

The formula is "lenght times width times height."

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

have a great day!

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

it was correct on edge

Answer:is that 3i or what?

-

Step-by-step explanation

Answer:

It's answer is d) 9

.........

Answer:

Step-by-step explanation:

the letter y is the number 2

The summary address for the given subnets is 172.16.96.0 /31.

To calculate the summary address for the given subnets, we need to find the common prefix among them. Let's break down the process step by step:

1. Convert the IP addresses to binary form:

  - 172.16.97.0 /24 => 10101100.00010000.01100001.00000000

  - 172.16.98.0 /24 => 10101100.00010000.01100010.00000000

2. Compare the binary forms bit by bit:

  - The first octet (10101100) is the same for both IP addresses.

  - The second octet (00010000) is the same for both IP addresses.

  - The third octet (01100001 and 01100010) differs only in the last bit.

  - The fourth octet (00000000) is the same for both IP addresses.

3. Determine the common prefix length:

  - The first two octets (16 bits) are the same for both IP addresses.

  - The third octet differs in the last bit, so the common prefix length in the third octet is 7 bits.

  - The fourth octet (8 bits) is the same for both IP addresses.

4. Combine the common prefix and calculate the summary address:

  - The common prefix is 16 + 7 + 8 = 31 bits.

  - Convert the binary form of the common prefix back to decimal form: 10101100.00010000.01100001.00000000

  - The summary address is 172.16.96.0 /31.

Therefore, the summary address for the given subnets is 172.16.96.0 /31.

Learn more about subnets here:

https://brainly.com/question/31776143

#SPJ11

Answer:

7/8 of a mile

Step-by-step explanation:

hope this helps

Answer:

I'm pretty sure it's 13 sorry if I am wrong

The company that offers the fastest mean downloading speed is Able Cable with a mean downloading speed of 4.0 megabits per second (Mbps). Able Cable has the fastest mean downloading speed when compared to CityNet and Tel-N-Net with means of 3.7 Mbps and 3.8 Mbps, respectively.

Mean downloading speed can be calculated by adding up all the download speeds for each provider and dividing the total by the number of providers. The downloading speeds of three providers, City Net, Able Cable, and Tel-N-Net, are given in megabits per second in the following table: Provider Download Speed(megabits per second)CityNet3.6, 3.7, 3.7, 3.6, 3.9Able Cable3.9, 3.9, 4.1, 4.0, 4.1Tel-N-Net3.9, 3.7, 4.0, 3.6, 3.8

To find which company offers the fastest mean downloading speed, we must calculate the mean (average) downloading speed of each company. We can use the following formula to calculate the mean downloading speed:mean downloading speed = (sum of download speeds) / (number of download speeds)Let's calculate the mean downloading speed of each company.CityNet:mean downloading speed = (3.6 + 3.7 + 3.7 + 3.6 + 3.9) / 5mean downloading speed = 18.5 / 5mean downloading speed = 3.7 MbpsAble Cable:mean downloading speed = (3.9 + 3.9 + 4.1 + 4.0 + 4.1) / 5mean downloading speed = 20 / 5mean downloading speed = 4.0 MbpsTel-N-Net:mean downloading speed = (3.9 + 3.7 + 4.0 + 3.6 + 3.8) / 5mean downloading speed = 18 / 5mean downloading speed = 3.6 MbpsTherefore, the company that offers the fastest mean downloading speed is Able Cable with a mean downloading speed of 4.0 Mbps. Able Cable has the fastest mean downloading speed when compared to CityNet and Tel-N-Net with means of 3.7 Mbps and 3.6 Mbps, respectively.

To know more about speed visit:

https://brainly.com/question/17661499

#SPJ11

a) This Parallelogram law essentially relates the lengths of the individual vectors and the lengths of the diagonals of the parallelogram formed by vectors.

b) The Parallelogram Law is proven using the Triangle Inequality and the properties of vectors.

a) Geometric interpretation of the Parallelogram Law,

the Parallelogram Law states that for any two vectors and the sum of the squares of the lengths of the diagonals of a parallelogram formed by these vectors is equal to twice the sum of the squares of the lengths of the individual vectors. Geometrically,this law can be interpreted as follows,

Consider two vectors a and b in a vector space.

When these vectors are added together (a + b) and they form a parallelogram with a and b as adjacent sides.

The diagonal vectors of this parallelogram are a + b and a - b.

The Parallelogram Law states that if you square the lengths of both diagonal vectors (||a + b||² and ||a - b||²) and add them together then we will get the result is equal to twice the sum of the squares of the lengths of the individual vectors (2||a||²+ 2||b||²).

This law essentially relates the lengths of the individual vectors and the lengths of the diagonals of the parallelogram formed by these vectors.

b) Proof of the Parallelogram Law using the Triangle Inequality:

To prove the Parallelogram Law, we'll start with the following steps and utilizing the properties of vectors and the Triangle Inequality:

Start with the left-hand side of the Parallelogram Law:

||a + b||² + ||a - b||²

Expand the squared terms:

(a + b)·(a + b) + (a - b)·(a - b)

Expand the dot products:

(a·a + 2a·b + b·b) + (a·a - 2a·b + b·b)

Simplify by combining like terms:

2(a·a + b·b)

Rewrite in terms of the magnitudes of vectors using the dot product definition:

2(||a||² + ||b||²)

Distribute the 2:

2||a||² + 2||b||²

This matches the right-hand side of the Parallelogram Law, which completes the proof.

Therefore, the Parallelogram Law is proven using the Triangle Inequality and the properties of vectors.

Learn more about parallelogram here,

https://brainly.com/question/26720961

#SPJ4

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer:

Reflected over the x axis and translated 4 units left

Step-by-step explanation:

Just took the test and got 5/5 :)

Answer:

Reflected over the X axis

Tanslated 4 units left.

Step-by-step explanation:

Plato 5/5

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

Learn more about mean absolute here :brainly.com/question/29545538

#SPJ4

Answer: 1/12 or 8.3%

Step-by-step explanation:

if the cube has 12 sides and only one (7) then there is a 1 in 12 chance it will land on that number or 8.3%

Answer:

answer is c!

because it's domain is -7!!

Pls mark brainliest,thankyou.

Answer:

b

Step-by-step explanation:

Answer:

Y= 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

13= -2y+8+3y

13= y +8

-8       -8

5= y or y=5

I hope this helps!!

Home plate to second base is located at a distance of 90√2 feet.

A square is a rectangle in which each side is the same length. The distance separating the square's opposing vertices is known as the diagonal. The Pythagoras Theorem can be used to compute the diagonals:

Diagonal² = Side² + Side²

Diagonal² = 2 Side²

Diagonal = √2 Side

The answer to the question is that it is 90 feet from home plate to first base.

This is the length of the side that makes up the baseball diamond's square shape. The diagonal of the square is the distance from home plate to second base.

Diagonal = √2 Side

Diagonal = 90√2

Hence, home plate to second base is located at a distance of 90√2 feet.

To know more about Pythagoras Theorem here

https://brainly.com/question/21926466

#SPJ4

The question is incomplete. The complete question will be -

"A baseball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base?"