On average, are the trouts in the lakes around Rankin Inlet
longer than trouts in other North American lakes?"
.
A summary of that analysis is included here:
Statistics Based on Data Collected i

Answer:

No!!

Step-by-step explanation:

For every 1 pound it costs $2⁵⁰

For every 2 pounds it costs $5⁰⁰

For every 3 pounds it costs $7⁵⁰

and so on going by 2.50 each pound.

There is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.

To determine if there is sufficient evidence to substantiate the publisher's claim, we need to conduct a hypothesis test.

Let's assume the null hypothesis is that the proportion of readers who own a personal computer is equal to 0.32.

The alternative hypothesis is that the proportion is greater than 0.32.

We can use a one-tailed z-test for proportions to test the hypothesis.

At the 0.05 level of significance, the critical z-value for a one-tailed test is 1.645.

If our calculated z-value is greater than 1.645, we reject the null hypothesis and conclude that there is sufficient evidence to support the publisher's claim.

Assuming we take a random sample of readers and find that 350 out of 1000 readers own a personal computer, the calculated z-value can be computed as:

\(z = (p - P) / \sqrt( P(1-P) / n )\)

where

p = sample proportion = 350/1000 = 0.35

P = hypothesized proportion = 0.32

n = sample size = 1000

z = (0.35 - 0.32) / sqrt( 0.32 * 0.68 / 1000 )

z = 1.42

Since the calculated z-value (1.42) is less than the critical z-value (1.645), we fail to reject the null hypothesis.

Therefore, there is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.

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The measure of the angle that is complementary to angle B is 30°.

Complementary angles are a pair of angles whose measures add up to 90°(Right angle)

To find the measure of the angle that is complementary to angle B, we need to subtract the measure of angle B from 90 degrees.

Given measure of angle B is 60°

60°+x° = 90°

(Let x° be the complementary angle to ∠B)

x° = 90°-60°

x° = 30°

∴ The measure of the angle that is complementary to angle B is 30°.

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Answer:

Step-by-step explanation:

x                y               Difference (d)

-1              -1                       -

0             -0.5             -0.5 - (-1) = 0.5

1                 0               0 - (-0.5) = 0.5

2              0.5              0.5 - 0 = 0.5

3                1                 1 - 0.5 = 0.5

There is a common difference (d) = 0.5

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here, m = Slope and b = y-intercept

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) will be,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Two points from the given table are (-1, -1) and (0, -0.5)

m = \(\frac{-0.5-(-1)}{0-(-1)}\)

m = 0.5

Y-intercept of the line 'b' = -0.5 (Value of y at x = 0)

Therefore, equation of the line will be,

y = 0.5x - 0.5

Answer:

Hypotneuse is 2.5 cm.

Step-by-step explanation:

Hyp^2=Sum of the squares of the other two sides
a^2 = b^2+ c^2
hyp^2 = (2)^2 + (1.5)

hyp^2 = 4 + 2.25

hyp^2=6.25

Apply sq. root on both sides

hyp = 2.5 cm

Given:

When x=0,

When x=1,

When x=2,

When x=-1,

When x=-2,

Option A is the correct answer.

Answer:

The answer is D

Step-by-step explanation:

You divide each by 20

Answer:

D. 20(r+3t)

Step-by-step explanation:

I found the answer online.

Answer: a and b

Step-by-step explanation: lol it obvious

Answer: Quadrilateral, Parallelogram

Step-by-step explanation:

A Quadrilateral is any closed 4 sided figure

A Parallelogram is a quadrilateral with two sets of parallel and opposite sides.

well, let's take a looksie at the picture

ahemm, the blue lines or diagonals, have sides of either 6+6 or 4+4, they make up four triangles each one with a side of 4, a side of 6 and another side that's pretty much the same on all triangles.

what the heck all that means?

well, it means, the sides AB=BC=CD=DA, and it also means the diagonals are bisecting each other, namely cutting each other in two equal halves, wait a second!!!!! equal sides, bisecting diagonals!! that's a RHOMBUS baby!  and yes, a rhombus is a parallelogram.

In 2012, the population of a city was 5.77 million, and it experienced an exponential growth rate of 2.03% per year.

Over time, the city's population grew exponentially due to the compounded effect of the growth rate. The exponential growth formula can be used to calculate the population at a given year. By applying the formula, we can determine the population of the city after a certain number of years. To calculate the population after a specific number of years, we can use the formula P = P₀ * (1 + r/100)^t, where P₀ is the initial population, r is the growth rate, and t is the number of years. In this case, we substitute P₀ = 5.77 million, r = 2.03%, and t = the desired number of years. For example, if we want to find the population after 5 years, we can substitute these values into the formula: P = 5.77 million * (1 + 2.03/100)^5. By calculating this expression, we can determine the population of the city after 5 years. This exponential growth model provides a way to estimate how the population of the city might have increased over time based on the given growth rate.

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Answer:

Completing the square is always confusing, but if you keep in mind it's just a way to write  (A + B )^2  so that the problem is in some easier form it makes a bit better sense.  A perfect square has some helpful properties.. anyway..

Step-by-step explanation:

Given: \(x^{2}\) - 12x +23 = 0   ( not a perfect square , tough to work with )

take 1/2 of the second term  coefficient  12/2 = 6   and square it

\(x^{2}\) - 12x + (\(-6)^{2}\) +23 = \((-6)^{2}\)

\(x^{2}\) -12x + \(6^{2}\) +23 = \(6^{2}\)

now there is a perfect square :)

(x - 6)^2 =36-23

(x - 6)^2 = 13

take the square root of both side now

x -6 = \(\sqrt{13}\)

x = \(\sqrt{13}\) +6

sooo  what is supposed to happen in these problems  is that square root of 13 is supposed to work out to something that is easy to find the root of ... maybe in your answers you left out the square roots?   so maybe A is right  :/

We want to solve a quadratic equation by completing squares.

What we need to use is the general relation:

\((a + b)^2 = a^2 + 2ab + b^2\)

We will see that the solutions are:

\(x = 6 \pm \sqrt{13}\)

We start with the equation:

\(x^2 - 12x + 23 = 0\\\)

We can rewrite the middle term as:

\(x^2 - 2*6*x + 23 = 0\\\)

Now remember that 6*6  = 36

Then we can add 13 and subtract 13 to get:

\(x^2 - 2*6*x + 23 + 13 - 13 = 0\\x^2 - 2*6*x + 36 - 13 = 0\\x^2 - 2*6*x + (-6)^2 - 13 = 0\\(x - 6)^2 - 13 = 0\)

Then the solutions are:

\((x - 6) = \pm \sqrt{13} \\\\x = 6 \pm \sqrt{13}\)

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In 1995, an early social media pioneer implemented the freemium business model, offering users the ability to create web pages within a community (topic) by providing basic services for free and charging for additional features.

In 1995, GeoCities introduced the freemium business model to the social media landscape. GeoCities allowed users to create personalized web pages with text and pictures within various thematic communities. The freemium model offered basic services for free, allowing users to create and host their web pages. However, GeoCities also provided additional features and enhancements for which users had to subscribe and pay.

This business model proved to be successful as it attracted a large user base and allowed GeoCities to generate revenue from subscribers who wanted access to premium features. By offering a free platform with limited functionality and enticing users with paid upgrades, GeoCities capitalized on the concept of the freemium model, providing a valuable interest while monetizing certain aspects of it.

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\( \frac{7}{24 \times 25} = \frac{7}{600} = 0.011(6) \)

\( \frac{7}{24.25} = \frac{28}{97} \)

\( \frac{7}{24} \times 25 = \frac{7 \times 25}{24} = \frac{175}{24} \)

P/s: i don't understand the question so i solve the question in 3 ways, you can choose 1 to answer.

Ok done. Thank to me :>

Answer:

the answer i got is 2 (x+1) (2x^2-2x+1) / x :)

Answer:

\(\frac{2x}{x-1}\)

Step-by-step explanation:

\(\frac{4x^2+4x}{2x^2-2}\) ← factor numerator and denominator

= \(\frac{4x(x+1)}{2(x^2-1)}\) ← cancel 4 and 2 on numerator/denominator by 2

= \(\frac{2x(x+1)}{x^2-1}\) ← x² - 1 is a difference of squares

= \(\frac{2x(x+1)}{(x-1)(x+1)}\) ← cancel (x + 1) on numerator and denominator

= \(\frac{2x}{x-1}\)

If this coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

Generally, if a coordinate (x, y) is reflected over the y-axis, the coordinate of the pre-image is (-x, y).

Note that the x-coordinate was negated while the y-coordinate remain the same.

Given the coordinate vertices of a triangle A(-4, 1), B (-1, 3) and C (-1, 1), if these coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

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The given adjacency matrix represents a directed graph. It consists of five vertices, and the connections between them are determined by the presence of 1s in the matrix.

The given adjacency matrix, 00 11 1010 0100 1010, represents a directed graph. Each row and column of the matrix corresponds to a vertex in the graph. The presence of a 1 in the matrix indicates a directed edge between the corresponding vertices.

In this case, the graph has five vertices, labeled from 0 to 4. Reading row by row, we can determine the connections between the vertices. For example, vertex 0 is connected to vertex 1, vertex 2, and vertex 4. Vertex 1 is connected to vertex 1 itself, vertex 3, and vertex 4. The adjacency matrix provides a convenient way to visualize the relationships and structure of the directed graph.

Here's a visual representation of the graph based on the provided adjacency matrix:

0 -> 1

  |    ↓

  v    |

  2    3

  ↓    ↑

  4 <- 1

In this representation, the vertices are denoted by numbers, and the directed edges are indicated by arrows.

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This question is incomplete

Complete Question:

The trail around Mirror Lake in Yosemite National Park is 5 miles long.

The tables below show the fraction of miles each hiked:

Hiker Fraction of miles hiked

Andrea 2/5

Jon 1/2

Callie 4/5

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Answer:

9. 1/10

10. 3/10

Step-by-step explanation:

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked

1/2 - 2/5

= The Lowest Common Denominator is 10

= [(5 × 1) - (2 × 2)] /10

= [5 - 4] /10

= 1/10

The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

This is calculated as the number of miles Callie hiked - The number of miles Jon hiked

4/5 - 1/2

= The Lowest Common Denominator is 10

= [(4 × 2) - (1 × 5)] /10

= [8 - 5] /10

= 3/10

The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10

The function g(x) has a maximum value, which occurs at x=1.

The maximum value of the function g(x) is 3, which occurs at x=1.

The given function g(x) is a quadratic function of the form ax^2 + bx + c, where a=-3, b=6, and c=0.
To determine whether the function has a maximum or minimum value, we look at the sign of the coefficient a. If a is positive, the function opens upwards and has a minimum value, while if a is negative, the function opens downwards and has a maximum value.

In this case, a=-3, which is negative, so the function opens downwards and has a maximum value. The vertex of the parabola represents the maximum point of the function.
The x-coordinate of the vertex is given by -b/2a, which is 1 in this case.

To find the corresponding y-coordinate, we substitute x=1 into the function g(x), which gives us g(1)=3.

Therefore, the maximum value of the function g(x) is 3, which occurs at x=1.
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Answer:

2.

gold beads to silver beads

table: 6:9  12:18  24:36  30:45

equivalent ratios: 4:6 10:15 20:30 100:150

3.

A.33

B.1.2

Step-by-step explanation:

2.

the rule is, gold beads x 1 1/2 = silver beads

3.

A. 165/5=33

B.9.60/8=1.2

hope this helps have a blessed day :)

The net weight of Jada's at the end of the year is the sum of his initial weight and the change in weight recorded, which is : 55 pounds

Net weight of the dog can be expressed thus :

Therefore, the dog's weight at the end of the year is 55 pounds.

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Answer:

Step-by-step explanation:

Answer:

a.3/17

b.14/17

Step-by-step explanation:

a. formula =Number of favourable outcome/Total number of outcome =3/17

b.14/17

Answer:

Angles and Directions. ➢ In surveying, the direction of a line is described by the horizontal angle that it makes with a reference line. ➢ This reference line is called a meridian. Angles and Directions. ➢ The term "meridian" comes from the Latin meridies, meaning "midday“.

Step-by-step explanation:

The least amount they could charge for each agenda book is $8

Represent the selling price of each book with x.

So, the total selling price of the 350 books is:

Total = 350x

The school wants to make a profit of $1500.

So, the total revenue is

Revenue = $1137.50 + $1500

Evaluate

Revenue = $2637.5

The least amount they could charge is calculated as:

350x = $2637.5

Divide both sides by 350

x = $2637.5/350

Evaluate

x = $7.535

Approximate

x = $8

Hence, the least amount they could charge for each agenda book is $8

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Complete question

Each year Lizzie’s school purchases student agenda books, which are sold in the school store. This year, the school purchased 350 books at a cost of $1,137.50. If the school would like to make a profit of $1,500 to help pay for field trips and school activities, what is the least amount they can charge for each agenda book? Explain how you found your answer

Answer:

(5, -3)

Step-by-step explanation:

let (x1, y1) = (6, -7) and (x2, y2) = (4,1)

(Xmidpoint, Ymidpoint) = ( (x1+x2) / 2, (y1+y2) / 2)

                                       = (5, -3)

Observe the pattern below. (The alternate numbers form a pattern)2, 3, 4, 6, 6, 9, 8, 12, 10, 15, 12, ….The next two numbers in the series:

18 , 14 ...

The standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

It follows from the task content that the standard form representation of the equation of the circle as given in the task content is to be determined.

The given equation is;

137+6y=-y²-x²-24x

By rearrangement, we have;

x² + 24x + y² + 6y + 137 = 0.

Therefore by the use of completing the square method; we have;

(x + 12)² - 144 + (y + 3)² - 9 + 137 = 0.

Hence, the correct standard form representation of the equation is;

(x + 12)² + (y + 3)² = 16

(x + 12)² + (y + 3)² = 4²

Ultimately, the standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

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Answer:

8c2 - 4c - 12

Step-by-step explanation:

Answer:

8c^2-4c-12

Step-by-step explanation

So you have to multiply 4c into 2c and -3 first and then 4 into 2c and -3.

(4c+4)(2c-3)

4c X 2c is 8c^2

(4c+4)(2c-3)

4c X -3 is -12c

So for the 4c multiplying in you would get 8c^2 and -12c, but we still have to multiply in the 4

4 X 2c is 8c

(4c+4)(2c-3)

4 X -3 is -12

So then we would get 8c^2-12c+8c-12, however we can still combine the -12c and the 8c.  Combining those would get -4c.  So the final answer is 8c^2-4c-12

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

y=13

Step-by-step explanation:

given that,

x=5

to find,

y=2x+3, when x=5

substitute 5 in the place of "x" we get,

y=2×5+3

according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,

y=10+3

y=13

Answer: y=13

Step-by-step explanation:

\(y=2(5)+3\\multiply\\y=10+3\\add\\10+3=13\\y=13\)

Answer:

Y= -5/2x+3

Step-by-step explanation:

first you have to find the slope so y1-y2 over x1-x2:

13- -2 / -4 -2= 15/-6= -5/2

then you plug it into the point slope form which is Y-y1= M(X-x1)

Y- -2= -5/2(X-2)

now solve in order to put it in slope intercept form

Y+2= -5/2x+5= Y= -5/2x+3