What is the median of 5, 12, 13, 19, 24?
14.6
13
05
O 12

Answer:

y=-1x+13

Step-by-step explanation:

There is a negative slope we start at (9,4) and go up one and to the left one. Eventually we well pass the y-axis at 13.

Answer:

Step-by-step explanation:

Complete question

Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties

The median value is the value at the middle after rearrangement

On rearranging in ascending order

9, 10, 14, (15, 19), 21, 21, 27

Since there are two values in the middle, we will take the average of the numbers

Median = 15+19/2

Median = 34/2

Median = 17

Hence the median value is 17

Answer:

7.5 or 15/2 (Whatever form you need to use)

Step-by-step explanation:

N-5 divided by 2 =5

Combine like terms:

-5 divided by 2= -2.5.

N-2.5=5

Add -2.5 from itself, then do the same to the other side:

N-2.5=5

 +2.5=+2.5 (Adding 2.5 to -2.5 cancels it out)

N=7.5

Answer:

-1.63

Step-by-step explanation:

Plug in the values listed into the equation

([388/1386] - 0.30) / √(0.30[1-0.30)/1386

-0.02006/0.01231

-1.63

Answer:

Step-by-step explanation:

Okay, so first, let's get our data out.

DAY                    SPEED

  1         8 min per mile / 6 miles an hour

  2        Under 8 min per mile / 7 miles per hour

  3        More than 8 min per mile / 6 miles per hour

  4        7 min per mile / 8 miles per hour

Yes

Yes

No

Hope this helps :)

Stay Cold,

Brook

Answer: $216

Step-by-step explanation:

If you divide 90 by 5 then you get 18 so 18 multiplied by 12 is 216.

Answer:

Radus: 2, Center (3,-4)

Step-by-step explanation:

You first move the constant to the right then reorder the terms: x^2+y^2-6x+8y=-21.

You then complete the square: x^-6x+9+y^2=-21+9

Then factor: (x-3)^2+y^2+8y=-12

Then complete the square for the other term:

(x-3)^2+y^2+8y+12=-12+16

Then factor: (x-3)^2+(y+4)^2=4

4 is the radius squared, so the radius must be 2.

The center is the opposite of the constant in the parenthesis so the center must be (3,-4)

Answer:

This is not a function

Step-by-step explanation:

There are multiple x coordinates so if you put this on a graph then try to do the vertical line test it will fail resulting in this not being a function.

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

Answer:

3,200,000

Step-by-step explanation:

79 goes into 316 4 times so double your population four times

200,000 x 2= 400,000

400,000 x 2= 800,000

800,000 x 2= 1,600,000

1,600,000x 2 = 3,200,000

Therefore , the solution of the given problem of expressions comes out to be  l has a value of 145 feet.

Instead of using random estimates, shifting variable numbers should be employed instead, which can be growing, diminishing, or blocking. They could only help one another by transferring items like tools, knowledge, or solutions to issues. The explanations, components, or mathematical justifications for strategies like expanded argumentation, debunking, and blending may be included in the explanation of the reality equation.

Here,

The Pythagorean theorem has the following mathematical formulation:

=> c² = a² + b²

where "a" and "b" are the lengths of the other two sides, and "c" is the length of the hypotenuse.

The other two sides' lengths in this instance are 9 feet and 8 feet, so we can enter these numbers into the formula as follows:

=> l² = 9² + 8²

=> l² = 81 + 64

=> l² = 145

We can use the square roots of both sides of the equation to determine "l":

=> √l² = √145

=> l = √145 ft

Therefore, "l" has a value of 145 feet.

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Answer:

12.5663

Step-by-step explanation:

Answer:

4.61

Step-by-step explanation:

Step-by-step explanation:

\( = 4 \frac{2}{4} + \frac{1}{9} \\ = \frac{4 \times 4 + 2}{4} + \frac{1}{9} \\ = \frac{18}{4} + \frac{1}{9} \)

Find the LCM

\( = \frac{18}{4} \times \frac{9}{9} + \frac{1}{9} \times \frac{4}{4} \\ = \frac{162}{36} + \frac{4}{36} \\ = \frac{166}{36} \)

Convert into lowest term

\( \frac{83}{16} \\ \)

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

a. The point estimate of p1 - p2 is (290/1000) - (396/1200) = 0.29 - 0.33 = -0.04.
b. To make a 98% confidence interval for p1 - p2, we first need to calculate the standard error.

SE = sqrt(p1_hat*(1-p1_hat)/n1 + p2_hat*(1-p2_hat)/n2)
where p1_hat = x1/n1 and p2_hat = x2/n2.
Substituting the given values, we get
SE = sqrt((290/1000)*(1-290/1000)/1000 + (396/1200)*(1-396/1200)/1200) = 0.0231
The 98% confidence interval for p1 - p2 is (-0.04 ± 2.33(0.0231)) = (-0.092, 0.012).
c. To show the rejection and nonrejection regions on the sampling distribution of pˆ1 - pˆ2, we need to first calculate the standard error of pˆ1 - pˆ2.
SE(pˆ1 - pˆ2) = sqrt(p_hat*(1-p_hat)*(1/n1 + 1/n2))
where p_hat = (x1 + x2)/(n1 + n2).
Substituting the given values, we get
SE(pˆ1 - pˆ2) = sqrt((290+396)/(1000+1200)*(1-(290+396)/(1000+1200))*(1/1000 + 1/1200)) = 0.0243
Using a significance level of 1%, the rejection region is pˆ1 - pˆ2 < -2.33(0.0243) = -0.0564. The nonrejection region is pˆ1 - pˆ2 ≥ -0.0564.
d. The value of the test statistic z for the test of part c is (pˆ1 - pˆ2 - 0) / SE(pˆ1 - pˆ2) = (-0.04 - 0) / 0.0243 = -1.646.
e. At a significance level of 1%, the critical value for a one-tailed test is -2.33. Since the calculated test statistic (-1.646) does not fall in the rejection region (less than -0.0564), we fail to reject the null hypothesis. Therefore, we cannot conclude that p1 is less than p2 at a significance level of 1%.

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\(\huge{\boxed{\boxed{\mathbb{ANSWER \hookrightarrow{\mathfrak{-7b-2}}}}}\)

Step-by-step explanation:

- 4b - 4 + 2 - 3b

= - 4b - 3b - 4 + 2

= - 7b - 2

Hope it helps ⚜

A customer earns 1 free night per 10 nights stayed.

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x)=x/10

When we put x=10, we get f(1)=10/10=1

Here f(1)  represents the number of free nights earned by the customer is 1 per 10 nights stayed.

When we put x=20, we get f(2)=20/10=2

Here f(2)  represents the number of free nights earned by the customer is 2 per 20 nights stayed.

When we put x=30, we get f(3)=30/10=3

Here f(3)  represents the number of free nights earned by the customer is 3 per 30 nights stayed.

When we put x=40, we get f(4)=40/10=4

Here f(4)  represents the number of free nights earned by the customer is 4 per 40 nights stayed.

Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.

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Answer:

393 + 39√6

Step-by-step explanation:

√639 + (393)

Simplify

393 + 39√6 (Answer)

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Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Protons are a type of subatomic particle with a positive charge. With more electrons than protons, the particle is negatively charged.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The given matrix is in row-echelon form, but it is not in reduced row-echelon form. The given matrix is:

2 0 0 0

0 1 1 6

0 0 0 0

To determine if it is in row-echelon form, we need to check the following conditions:

1. All rows consisting entirely of zeros are at the bottom: In the given matrix, the third row consists entirely of zeros and is located at the bottom, so this condition is satisfied.

2. The first nonzero entry in each row, called a leading entry, is always strictly to the right of the leading entry in the row above it: In the given matrix, the leading entry in the second row is 1, which is to the right of the leading entry in the first row (which is 2). So this condition is satisfied.

3. Any rows of all zeros are at the bottom: Again, in the given matrix, the third row consists entirely of zeros and is located at the bottom, satisfying this condition.

Therefore, the given matrix is in row-echelon form.

To determine if it is also in reduced row-echelon form, we need to check one additional condition:

4. Each leading entry is 1, and each leading 1 is the only nonzero entry in its column: In the given matrix, the leading entries are 2 and 1, which are not equal to 1. Therefore, the matrix is not in reduced row-echelon form.

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The relative minimum are

To find the relative minimum, the point has to satisfy the following conditions

So, at point A, we see that the tangent is not equal to zero, so it is not a minimum point

At point B, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point C, we see that the tangent is not equal to zero but negative so it is not a minimum point

At point D, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

At point E, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point F, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

at point G, we see that the tangent is not equal to zero and it is increasing, so it is not a minimum point

So, the only points that satisfy the condition for minimum point are Points D and point F

So, the relative minimum are

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The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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Answer:

R = 13/3

Step-by-step explanation:

Based on the given conditions, formulate:  2 x r - 10 = -1 1/3

Apply Multiplicative Distribution Law: 2r - 10 = -1 - 1/3

Multiply both sides of the equation by the common denominator: 2r x 3 -10 x 3 = -3 - 3/3

Reduce the fractions: 2r x 3 - 10 x 3 = -3 - 1

Multiply the monomials: 6r - 10 x 3 = -3 - 1

Calculate the product or quotient: 6r - 10 x 3 = -3 - 1

Rearrange unknown terms to the left side of the equation: 6r = -3 - 1 + 30

Calculate the sum or difference: 6r = 26

Divide both sides of the equation by the coefficient of variable: r = 26/6

Cross out the common factor: r = 13/3

Answer:  r = 13/3

The equation of a curve which intersects at right angles every curve of the family y = 1 / x + k is: y = x^3 / 3. The correct option is D.

The given equation:

y = 1/x + k.

And since y’ = –1 / x^2

So, the desired curve satisfies:

y’ = x^2

From the given equation we get:

dy / dx = –1 / x^2

any suitable function would have the negative reciprocal slope, so:

df / dx = x^2 / 1 = x^2

So, f(x) = x^3 / 3

Hence, the equation that intersects at right angles of  y = 1 / x + k is y = x^3 / 3.

Generally, an intersection curve consists of the common points of two transversally intersecting surfaces, which means that at any common point the surface normal are not parallel. This restriction excludes cases in which the surfaces are touching or have surface parts in common.

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Answer:

b) Substitute (3x - 5) for y in the second equation.

Step-by-step explanation:

If using the substitution method, then the second choice is the most efficient first step.

What is the substitution method?

The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.

Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:

⇒ 2x + 6y = 20

⇒ 2x + 6(3x - 5) = 20

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