Find the median for the following data set: 11, 13, 17, 11, 10, 15, 11, 12, 13, 15
O 125
O 12
O 13
O 13.5

Answer:

The second option: 4 1/2 x = 22 1/2

Step-by-step explanation:

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Answer:

Answer:

The second option: 4 1/2 x = 22 1/2

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Step-by-step explanation:

Answer:

Evan can go on 30 rides   (based on the assumption that Evan's parent gave him $20)

Step-by-step explanation:

Given that:

The admission to the fair  = $5

The cost per ride = $0.50

Let assume that the number of ride Evan can go = x

So if The cost per ride = $0.50

x ride = $0.50x

We are not told that he is given money by anybody, but let assume his parent gave him $20,

Then, if Evan pays $5 for admission into the fair. Then he will have $(20-5) = $15 left

The relation expressing how many rides Evan can go is:

0.5x = 15

Since the cost per ride = $0.5

x rides cost $15/0.5

x = 15/0.5

x = 30

Hence, Evan can go on 30 rides

Answer:

d:1

Step-by-step explanation:

the answers will always be negative and the other side will always be positive

The height of the pyramid is 12 units.

The volume of the pyramid is 400 units cube.

The pyramid has a square base with side length of 10 units. Each segment that connect the apex to a midpoint of a side of the base has a length of 13 units.

Therefore, the height of the pyramid can be calculated as follows:

The height of the pyramid can be found using Pythagoras's theorem for right triangles.

Hence,

c² = a² + b²

where

Therefore,

h² = 13² - 5²

h = √169 - 25

h = √144

h = 12 units

Therefore,

height of the pyramid = 12 units

Volume of the square pyramid = 1 / 3 BH

where

Therefore,

B = 10² = 100 units²

Volume of the square pyramid = 1 / 3 × 100 × 12

Volume of the square pyramid = 1200 / 3

Volume of the square pyramid = 400 units³

learn more on volume here: brainly.com/question/29084119

#SPJ1

Answer:

Sihui has $4 and Mark has $12.

Step-by-step explanation:

Let the amount that Sihui has be s.

Let the amount that Mark has be m.

Sihui and Mark have $16 altogether. This means that:

s + m = 16

If Sihui has $2 more, she will have half as much as Mark. This means that:

s + 2 = m/2

=> s = m/2 - 2

By process of elimination, put this value of s in the first equation:

m/2 - 2 + m = 16

=> 3m/2 = 16 + 2 = 18

m = (18 * 2) / 3

m = 36 / 3 = $12

=> s = 12/2 - 2

s = 6 - 2 = $4

Sihui has $4 and Mark has $12.

Answer:

15 miles

Step-by-step explanation:

If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.

The probability of the event E1 , P(E1) is = 1/2 , and the probability of the event E2 , P(E2) is = 1/4 .

In the question ,

when a coin is tossed three times then the possible outcomes are

Sample Space (S) = { HHH , HHT , HTH , HTT , THH , THT , TTH , TTT}

n(S) = 8 ,

E1 is the event  , where first coin comes up tails ,

E1 = { THH , THT , TTH , TTT }

n(E1) = 4

So , P(E1) = n(E1)/n(S) = 4/8 = 1/2

and the event E2 is = two and not three heads come up in a row .

So , E2 = { HHT , THH }

n(E2) = 2 ,

So , P(E2) = n(E2)/n(S) = 2/8 = 1/4 .

Therefore , the required probability is P(E1) = 1/2 and P(E2) = 1/4 .

The given question is incomplete , the complete question is

Let E1 be the event that the first coin comes up tails and E2 be the event that two, and not three, heads come up in a row . Find the probability P(E1) and P(E2) .

Learn more about Probability here

https://brainly.com/question/17282113

#SPJ4

These are the similarity theorem:

(i)Angle-Angle Similarity

(ii)Side-Angle-Side Similarity

(iii)Hypotenuse-Leg Similarity

What is the similarity of the triangle?

When it comes to Euclidean geometry, two things are said to be comparable if they have the same shape or the same shape as each other's mirror image. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

Angle-Angle Similarity

If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.

Side-Angle-Side Similarity

If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.

Side-Side-Side Similarity

SSS is when we know the lengths of the three sides a, b, and c.

Hypotenuse-Leg Similarity

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

Hence, these are the similarity theorem:

(i)Angle-Angle Similarity

(ii)Side-Angle-Side Similarity

(iii)Hypotenuse-Leg Similarity

To learn more about the similarity of the triangle visit,

brainly.com/question/14285697

#SPJ4

Answer:

ex :  8/5

you divided the numerator by the denominator and it because a decimal

so ur answer for 8/5 would be 1.6

not really sure if this is what ur looking for but thats how u convert a fraction to a decimal  

Good luck <3

Answer:

x=-16

Step-by-step explanation:

2/3x+1=1/6x-7.

Subtract 1/6x.

1/2x+1=-7

subtract 1.

1/2x=-8

divide by 1/2.

x=-16.

Hope this helps plz hit the crown :D

Step-by-step explanation:

\( \frac{2}{3} x + 1 = \frac{1}{6}x - 7 \\ \frac{4}{6} x - \frac{1}{6} x = - 7 - 1 \\ \frac{3}{6} x = - 8 \\ \frac{1}{2} x = - 8 \\ \boxed{ x = - 16}\)

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

Learn more about alternate interior angles at

https://brainly.com/question/20344743

#SPJ1

Answer:

---------------------

Solve in below steps:

No solutions as we ended up with false equality.

Answer:

no solution

Step-by-step explanation:

0.5 ( -2 + 4d ) - 2d = -13

Solve the brackets.

-1 + 2d - 2d = -13

The term "-2d" cancels out, leaving us with:

-1 = -13

Since this equation is not true (the left side does not equal the right side), there is no solution to the equation.

In other words, there is no value of "d" that satisfies the equation.

Based on the given information, it seems that the number of left-handed desks in each classroom is adequate.

Based on the given information, we can calculate the expected number of left-handed students in a classroom:

Expected number of left-handed students = (total number of students in a classroom) x (proportion of left-handed students in the population)

Expected number of left-handed students = 30 x 0.11

Expected number of left-handed students = 3.3

Since each classroom contains four left-handed desks, it seems that the number of left-handed desks is more than enough to accommodate the expected number of left-handed students. In fact, there may even be some unused left-handed desks in each classroom.

Therefore, based on the given information, it seems that the number of left-handed desks in each classroom is adequate.

for such more question on adequate

https://brainly.com/question/28033296

#SPJ11

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

To know more about Confidence interval visit

https://brainly.com/question/31736191

#SPJ11

The average value of the function f(x) = 1/x over the interval from x = 1/5 to x = 5 can be determined. The exact answer for the average value is 2 ln(5/√5), which simplifies to ln(√5).

To find the average value of a function over an interval, we use the formula:

Average value = (1 / (b - a)) ∫[a to b] f(x) dx

In this case, we are given the function f(x) = 1/x and the interval from x = 1/5 to x = 5. Substituting these values into the formula, we have:

Average value = (1 / (5 - 1/5)) ∫[1/5 to 5] (1 / x) dx

Simplifying the denominator, we get:

Average value = (1 / (24/5)) ∫[1/5 to 5] (1 / x) dx

Average value = (5/24) ∫[1/5 to 5] (1 / x) dx

Now, we can evaluate the integral:

Average value = (5/24) [ln|x|] [1/5 to 5]

Plugging in the limits of integration, we have:

Average value = (5/24) [(ln|5|) - (ln|1/5|)]

Simplifying the natural logarithms:

Average value = (5/24) [ln(5) - ln(1/5)]

Using the logarithmic identity ln(a) - ln(b) = ln(a/b), we have:

Average value = (5/24) ln(5/(1/5))

Simplifying further:

Average value = (5/24) ln(25)

Finally, ln(25) simplifies to 2 ln(√5), which can be approximated as ln(√5).

Therefore, the average value of the function f(x) = 1/x over the interval from x = 1/5 to x = 5 is ln(√5).

Learn more about natural logarithms here:

https://brainly.com/question/29154694

#SPJ11

The coordinates in rectangular form are listed below:

(r, θ) = (9, π / 6): (x, y) = (7.79, 4.5)

(r, θ) = (3, 3π / 4): (x, y) = (- 2.12, 2.12)

(r, θ) = (0, π / 4): (x, y) = (0, 0)

(r, θ) = (10, - π / 2): (x, y) = (0, - 10)

In this question we must convert four coordinates in polar form into rectangular form, this conversion is defined by following expression:

(r, θ) → (x, y), where:

x = r · cos θ, y = r · sin θ

Where:

Now we proceed to find the rectangular coordinates for each case:

(r, θ) = (9, π / 6)

(x, y) = (9 · cos (π / 6), 9 · sin (π / 6))

(x, y) = (7.79, 4.5)

(r, θ) = (3, 3π / 4)

(x, y) = (3 · cos (3π / 4), 3 · sin (3π / 4))

(x, y) = (- 2.12, 2.12)

(r, θ) = (0, π / 4)

(x, y) = (0 · cos (π / 4), 0 · sin (π / 4))

(x, y) = (0, 0)

(r, θ) = (10, - π / 2)

(x, y) = (10 · cos (- π / 2), 10 · sin (- π / 2))

(x, y) = (0, - 10)

To learn more on rectangular coordinates: https://brainly.com/question/31904915

#SPJ1

Answer:

a. 8

Step-by-step explanation:

use Pythagorean theorem to find the missing side

a^2 + b^2 = c^2

15^2 + b^2 = 17^2

b= 8

Answer:

y=-2x+8

Step-by-step explanation:

slope intercept form is y=mx+b

b is the y int

m is the slope

y-int: 8

slope: -2

Answer:

y=-2x+8

Step-by-step explanation:

The slope is going down by 2. Therefore, it is a negative 2. The y-intercept is 8.

The z-score for a person who received a score of 19 on this biology quiz is 0.77 .

(rounded to two decimal places).A z-score, often known as a standard score, is a mathematical term that compares an individual's raw score to the population mean in terms of standard deviations. It is calculated using the formula (X - μ) / σ, where X is the raw score, μ is the population mean, and σ is the standard deviation.

Here, the population mean is 17 and the standard deviation is 2.6. Therefore, the formula for calculating the z-score of a person who received a score of 19 is as follows:(19 - 17) / 2.6 = 0.77Hence, the z-score (to 2 decimal places) for a person who received a score of 19 on this biology quiz is 0.77.

To know more about biology visit:

https://brainly.com/question/28405832

#SPJ11

Answer:

\(5b^{2}-32b+51\)

Step-by-step explanation:

\(2(3-b)+5(b-3)^{2}\)

\(=6-2b+5b^{2}-30b+45\)

\(=5b^{2}-32b+51\)

The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.

To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.

The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.

The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.

From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.

Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.

Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.

Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.

Learn more about asymptotes here:

brainly.com/question/32503997

#SPJ11

Answer:

first solution is correct

Step-by-step explanation:

because line (GA) is out of the circle

The statement that best defines quantitative research is Quantitative research explains a phenomenon by means of collecting numerical data through surveys and observation and analyzing the data with statistical procedures. Option d is correct.

Quantitative research is a type of research that involves the collection of data that can be analyzed numerically. It involves the collection and analysis of data using mathematical and statistical tools. This type of research is often used in the social sciences, such as psychology, sociology, and economics.

Quantitative research is objective in nature and involves collecting data that can be quantified. This type of research is often used to answer research questions that can be measured numerically, such as the number of people who use a particular product or service.

Quantitative research is a systematic, empirical approach to research that involves the collection of numerical data. This data is then analyzed using statistical procedures to draw conclusions about the research question or hypothesis being tested.

Therefore, d is correct.

Learn more about quantitative research https://brainly.com/question/30362816

#SPJ11

Answer:

10/49

Step-by-step explanation:

make it (5)(4)/(14)(7)

20/98

divide it by the greatest common factor, 2

10/49

To prove that t(θ) is the maximum likelihood estimator (MLE) of t(θ), where t(θ) is a function possessing a unique inverse, we need to show that t(θ) maximizes the likelihood function. This can be done by considering the log-likelihood function and using the properties of inverse functions.

Let's assume that θ is the MLE for some parameter θ, and t(θ) is a function with a unique inverse, denoted as t^(-1)(β). To prove that t(θ) is the MLE of t(θ), we need to show that it maximizes the likelihood function.

We start by considering the log-likelihood function, denoted as ℓ(θ), which is the logarithm of the likelihood function. Using the property of inverse functions, we can rewrite the log-likelihood function as ℓ(t^(-1)(β)).

Next, we can apply the concept of maximum likelihood estimation to ℓ(t^(-1)(β)). Since θ is the MLE for θ, it means that ℓ(θ) is maximized at θ.

By using the unique inverse property of t(θ), we can conclude that ℓ(t^(-1)(β)) is maximized at t(θ), which implies that t(θ) is the MLE of t(θ).

To know more about log-likelihood function here: brainly.com/question/29646733

#SPJ11

The ordered pairs (-1,1) and (4,-3) are solutions to the linear inequality -x < -y.

To determine if an ordered pair is a solution to a linear inequality, we substitute the values of x and y into the inequality and check if the statement is true or false.

For the ordered pair (-1,1):

-x < -y

-(-1) < -(1)

1 < -1

The statement is false, therefore (-1,1) is not a solution to the inequality.

For the ordered pair (4,-3):

-x < -y

-(4) < -(-3)

-4 < 3

The statement is true, therefore (4,-3) is a solution to the inequality.

Therefore, only (4,-3) is a solution to the inequality -x < -y.

In summary, the given linear inequality is -x < -y. To determine if the ordered pairs (-1,1) and (4,-3) are solutions to this inequality, we plug them into the inequality in place of x and y. We get -(-1) < -(1) as the inequality with the first ordered pair and -4 < 3 with the second ordered pair. Both of these inequalities are true, hence the ordered pairs (-1,1) and (4,-3) are solutions of the linear inequality -x < -y.

To learn more about ordered pairs, click here: brainly.com/question/11139505

#SPJ11

Ll término general de la sucesión 4, 9, 14, 19, 24 es an = 5n - 1.

La sucesión 4, 9, 14, 19, 24 es una progresión progresión aritméticacon una diferencia común de 5.

El término general de una progresión aritmética se puede encontrar utilizando la fórmula:

an = a1 + (n - 1)d

donde:

an = el término general que se desea encontrar

a1 = el primer término de la progresión

n = la posición del término que se desea encontrar

d = la diferencia común de la progresión

En este caso, a1 = 4 y d = 5. Para encontrar el término general para cualquier posición n, podemos sustituir estos valores en la fórmula y simplificar:

Por lo tanto, el término general de la sucesión 4, 9, 14, 19, 24 es an = 5n - 1.

More can be found here: https://brainly.com/question/16664068

#SPJ1

The ratio table is presented below and a total of 4 cases of possible.

Given that,

s: the number of cans of soup concentrate

w: the number of cans of water

Ratio: 1:5

so w = 5s

Therefore,

s        w            Total cans of heated soup to serve

1          5                          6

2         10                         12

3         15                          18

4         20                         24

Therefore, a total of four cases are possible to make up to 24 total cans of heated soup to serve at the party.

To read more about Ratio:

https://brainly.com/question/30065467

#SPJ4

Answer:

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. her heart rate is dependent on the number of steps she takes, therefore, a number of steps taken causes her rate to change.

What is the Correlation Coefficient?

A correlation coefficient shows how correlated two variables are.

The correlation coefficient ranges from -1 to 1.

The closer the correlation coefficient is to -1 or 1, the stronger the correlation between the two variables.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. her heart rate is dependent on the number of steps she takes, therefore, the number of steps taken causes her rate to change.

Learn more about correlation coefficient on:

brainly.com/question/4219149

Step-by-step explanation: