The biologist would like to investigate whether adult Atlantic bluefin tuna weigh more than 800 lbs, on average. For a sample of 25 adult Atlantic bluefin tuna, she calculates the mean weight to be 825 lbs with a SD of 100lbs. Which of the following is the correct notation and value of the corresponding standardized statistic (or test statistic) to investigate the relevant hypotheses? z = 0.25 t = 1.25 O t = 0.25 z = 1.25

Answer: x is equal to 35

Step-by-step explanation:

right angle is equal to 90 degrees

20+35=55

35+55=90

Answer:

(-4.5, 0)

Step-by-step explanation:

I don't even use midpoint formula for these types of problems, we can just count and see where they meet in the middle.

0 --- (-9)

(-1) --- (-8)

(-2) --- (-7)

(-3) --- (-6)

(-4) --- (-5)

(-4.5) --- (-4.5)

Answer:

The perimeter is 20 cm.

The area is 25 cm^2.

Step-by-step explanation:

The perimeter is the distance around the figure.

This is a square, so each side is the same length.

There are four sides, so

5 + 5 + 5 + 5 = 20 cm

The area of the figure is

s^2

where s is a side

so 5 * 5 = 25 cm^2

The required ranges of solutions for x and y from the inequality are:

2-√2i ≤ x ≤ 2+√2i, and y ≥ 5-4√2i (where i is the imaginary root)

The given inequality:

y ≤ -x² - 4x + 3y > x² + 3

Breaking the inequality we get 2 parts. Solving each of them separately:

1.  -x² - 4x + 3y > x² + 3

⇒ 3y > 2x²+4x+3

⇒ y > 1/3 (2x²+4x+3).....(3)

2. y ≤ -x² - 4x + 3y

⇒ 2y ≥ x²+4x

⇒ y ≥ 1/2(x²+4x)....(4)

Comparing 3 and 4, we get:

1/2(x²+4x) ≥ 1/3 (2x²+4x+3)

⇒ 3x²+12x ≥ 4x²+8x+6

⇒ x²-4x+6 ≤ 0

⇒ (x-2-√2i)(x-2+√2i) ≤ 0 (where i is the imaginary root=√(-1))

⇒ 2-√2i ≤ x ≤ 2+√2i

Placing the range of values of x in (4), we get the value of y:

2-√2i ≤ x ≤ 2+√2i

⇒ 2-4√2i ≤ x² ≤ 2+4√2i

⇒ 10-8√2i ≤ x²+4x ≤ 10+8√2i

Now, y ≥ 1/2(x²+4x)

⇒ 5-4√2i ≤ 1/2(x²+4x) ≤ 5+4√2i

⇒ y ≥ 5-4√2i

Hence, the required solutions of inequalities,  2-√2i ≤ x ≤ 2+√2i, and y ≥ 5-4√2i.

Read more about quadratic equations and inequalities on:

https://brainly.com/question/32192953

#SPJ4

Answer:  Choice B

\(\text{As } x \to \infty, \ f(x) \to \infty\)  and \(\text{As } x \to -\infty, \ f(x) \to \infty\)

==========================================================

Explanation:

Assuming that the only roots are x = -3 and x = 2, as shown by the table, then notice how f(x) > 0 at the very right hand side of the table. This indicates that f(x) will remain positive for this tail end. If f(x) were to become negative, then there would have to be another root somewhere beyond x = 2 (but that contradicts the assumption made at the top of the paragraph).

This allows us to say \(\text{As } x \to \infty, \ f(x) \to \infty\)

In other words, as x gets bigger, so does y. Both head to positive infinity together. We can informally describe this end behavior as "rises to the right".

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

For the left side of the table, we also have positive f(x) values to the left of the root. So we see that f(x) > 0 as x heads off in the negative infinity direction.

We would then say \(\text{As } x \to -\infty, \ f(x) \to \infty\)

Regardless of what direction x goes (positive or negative infinity), the y = f(x) values are heading off to positive infinity. Informally, we could say "rises to the left".

Both endpoints rise together to positive infinity. Think of a parabolic curve that opens upward as one example.

All of this points to choice B as our final answer. Choice B can be rephrased as \(\text{As } x \to \infty \text{ or } x \to -\infty, \text{ then } \ f(x) \to \infty\)

Answer:

a11 = 1

a12 = -1

a21 = -1.5

a13 = 2

Answer:

-1/2

Step-by-step explanation:

y = -1/2x + 1/4 is in slope y-intercept form : y = mx + b

m is slope

Slope = -1/2

Answer:

-7°C

Step-by-step explanation:

Freezing point of water = 0°C

By adding salt, freezing point lowers by 7°C ;

The freezing point of salt water can be expressed as ;

Since temperature lowers :

Freezing point of salt water :

Freezing point of water - 7°C

0°C - 7°C

= - 7°C

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

The common difference is 11. The number of terms in the AP is 9, and the common difference between the terms is 11.

The number of terms in the arithmetic progression (AP) can be found by using the formula:

Number of terms (n) = (Last term - First term) / Common difference + 1.

Given that the first term (a₁) is 1 and the last term (aₙ) is 121, we can substitute these values into the formula:

n = (121 - 1) / Common difference + 1.

To find the common difference, we need additional information. Let's proceed by using the sum of the AP's terms.

The sum of the terms in an AP can be calculated using the formula:

Sum (S) = (n/2) * (First term + Last term).

Given that the sum of the terms is 549, we can substitute the values into the formula:

549 = (n/2) * (1 + 121).

Simplifying the equation:

549 = (n/2) * 122.

Dividing both sides by 122:

4.5 = n/2.

Multiplying both sides by 2:

9 = n.

Therefore, the number of terms in the AP is 9.

To find the common difference, we can use the second sum given, which is 671.

671 = (9/2) * (1 + 121).

Simplifying the equation:

671 = (9/2) * 122.

Dividing both sides by 122:

5.5 = (9/2).

Multiplying both sides by 2:

11 = 9.

Therefore, the common difference is 11.

In summary, the number of terms in the AP is 9, and the common difference between the terms is 11.

Learn more about common difference here

https://brainly.com/question/503167

#SPJ11

Answer:

1) gradient  (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2  m = -2/1  means = m = -2  (negative slope)   2)  gradient  y2-y1 / x2-x1 = 3-0 / 2-0  = 3/2 = (1 1/2)/1   m = 1 1/2  (positive slope) we use the formula y-values divided by the change in the x-values.    The equation of the gradient each goes like this 1) y = -2x   as y is at origin nothing else to add     The equation of the gradient each goes like this 2) y = 1  1/2x     The equation of the point formula  1) we take the y -y1 = m (x +x 1)  =  y-0 = -2x (x +0)  (as m = -2) y = -2(x +0)   and  The equation of the point formula  2)  y - 0 = m ( x +x1)     y - 0 = 1 1/2( x +0)  = y = 1 1/2( x +0)

On solving the provided question we can say that - Maria sent = 25 texts, Lamar sent  = 18 texts and Joe sent =  36 texts.

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. A mathematical statement called an equation is made up of two expressions connected together by the equal sign. An equation is, for instance, 3x - 5 = 16. This equation's solution yields the value of the variable x as x = 7. The definition of an equation in algebraic terms is a mathematical assertion that two mathematical expressions are equal. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.

\(4x= 100\\x = 25\)

Maria sent  = 25 texts

Lamar sent  = 18 texts

Joe sent =  36 texts.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

step by step:

y= .20x +13

.20(15)+13

3+13

16 meters

For the purpose of content marketing, the strategies portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.

This is because strategies are the overarching plans that guide the actions and decisions of a content marketing program.

A content marketing strategy defines the target audience, key messages, channels, and metrics for success. It outlines how content will be created, distributed, and measured in order to achieve specific business objectives.

The tactics portion of strategic planning is more focused on the specific actions and initiatives that will be taken to execute the strategy. Tactics might include things like social media campaigns, email marketing, webinars, or video production. While tactics are important, they should always be guided by the overarching strategy in order to ensure that they are aligned with business goals and objectives.

Messages are the specific pieces of content that are created as part of a content marketing program. While messages are important for engaging the audience and driving action, they are not the primary focus of strategic planning. Finally, situational analysis is an important step in the planning process, but it is not specific to content marketing. A situational analysis is a broad assessment of the business environment and competitive landscape, which is used to inform overall business strategy.

Learn more about content marketing here:

brainly.com/question/25778296

#SPJ1

complete question:

For the purpose of content marketing, the ______ portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.A) strategiesB) tacticsC) messagesD) situational analysis

Answer:

30ft

Step-by-step explanation:

1530ft2 divided by 51ft.

The angle of elevation to the top of the tree from where Jacob is standing is 16.1°.

The angle of elevation can be found after we find the height of the tree.

Therefore,

tan 22° = opposite / adjacent

tan 22° = h / 25

cross multiply

height of the tree = 25 tan 22

height of the tree = 10.1006556459

Therefore,

The angle of elevation from where Jacob is standing is as follows;

tan ∅ = opposite / adjacent

tan ∅ = 10.1006556459 / 35

∅ = tan⁻¹ 0.28859014285

∅ = 16.0976110163

∅ = 16.1°

learn more right triangle here: https://brainly.com/question/10341522

#SPJ1

The positive infinity and negative infinity on a graph is explain below.

the idea of something limitless, interminable, without bound. The normal sign of infinity, ∞, was concocted by the English mathematician John Wallis in 1655. Three principal sorts of vastness might be recognized: the numerical, the physical, and the supernatural

Positive infinity is shown by rightmost point on the graph.Its symbol is +∞.

Negative infinity is shown by leftmost point on the graph.Its symbol is -∞.

To know more about infinity visit:

brainly.com/question/3498371

#SPJ4

Answer:

8m+-9n

Step-by-step explanation:

Simplifying the expression, -(4x³+x²) + 2(x³ - 3x²), the simplest form would be: B. -2x³ - 7x².

To simplify the expression, -(4x³+x²) + 2(x³ - 3x²), do the following:

Apply the distributive property to eliminate the parentheses

-4x³ - x² + 2x³ - 6x²

Combine like terms together

-4x³ + 2x³ - 6x² - x²

-2x³ - 7x²

Thus, simplifying the expression, -(4x³+x²) + 2(x³ - 3x²), the simplest form would be: B. -2x³ - 7x².

Learn more about simplifying expressions on:

https://brainly.com/question/723406

#SPJ1

The slope of the line that passes through points (5, 12) and (7, 16) will be 2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A line has points (5, 12) and (7, 16). Then the slope of the line is given as,

Slope = (16 - 12) / (7 - 5)

Slope = 4 / 2

Slope = 2

The slope of the line that passes through points (5, 12) and (7, 16) will be 2.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Jill and Greg together ate a full 125-ounce bag of candy. Jill ate 45 ounces more candy than Greg. The task is to determine how much candy each of them ate.

Let's assume that Greg ate x ounces of candy. According to the given information, Jill ate 45 ounces more candy than Greg, so Jill ate (x + 45) ounces.

The total amount of candy eaten by both of them is equal to the full 125-ounce bag of candy. Therefore, we can set up the equation:

x + (x + 45) = 125

Simplifying the equation, we have:

2x + 45 = 125

Subtracting 45 from both sides:

2x = 80

Dividing both sides by 2:

x = 40

So Greg ate 40 ounces of candy, and since Jill ate 45 ounces more than Greg, she ate 40 + 45 = 85 ounces of candy.

In conclusion, Greg ate 40 ounces of candy and Jill ate 85 ounces of candy.

Learn more about  total amount here:

https://brainly.com/question/29849845

#SPJ11

Answer:

  x = 192

Step-by-step explanation:

The three right triangles in the figure are all similar, so their sides are proportional.

The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...

  400 -144 = 256

We now have enough information to write the proportion ...

  long side/short side = x/144 = 256/x

Multiplying by 144x gives ...

  x² = (144)(256)

  x = √(144×256) = 12×16 = 192

The length x is 192 units.

Answer:

the answer is sometimes

The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

For more questions like Volume click the link below:

https://brainly.com/question/1578538

#SPJ11

The initial value of the forward-starting swap is $11,879.70. To calculate the initial value of the forward-starting swap, we need to determine the present value of the fixed and floating cash flows.

The fixed cash flows are known, as the swap has a fixed rate of 4.5% and starts at t=1. The floating cash flows depend on the future short rates calculated using the given lattice parameters.

Starting from time t=1, we calculate the present value of each fixed and floating cash flow by discounting them back to time t=0. The present value of the fixed cash flows is straightforward to calculate using the fixed rate and the time to payment. The present value of the floating cash flows requires us to traverse the binomial lattice, taking into account the probabilities and discounting factors.

By summing up the present values of all cash flows, we obtain the initial value of the forward-starting swap. In this case, with a notional of 1 million, the initial value is $11,879.70.

Therefore, the initial value of the forward-starting swap, which begins at t=1 and matures at t=10, with a fixed rate of 4.5% and a notional of 1 million, is $11,879.70. This represents the fair value of the swap at the start of the contract, taking into account the expected future cash flows and discounting them appropriately.

Learn more about lattice parameters here: brainly.com/question/14618066

#SPJ11

Step-by-step explanation:

the slow intercept form is

y = ax + b

the slope is always the factor a of x (in every line equation).

it is defined as the ratio y/x expressing how many units y changes, when x changes a certain amount of units - e.g. when going from one point on the line to another.

so, for the given 2 points x changes by -5 (from 7 to 2), and y changes by +10 (from 2 to 12).

therefore, the slope is 10/-5 = -2

our line equation looks more like

y = -2x + b

to get b we use the coordinates of one of the points.

e.g. 7, 2

2 = -2×7 + b = -14 + b

b = 16

or full line equation is

y = -2x + 16

The values of the variables for the parallelogram include the following;

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In this context, we can reasonably infer and logically deduce that this parallelogram has both pairs of opposite sides parallel to each other and the opposite angles (vertical angles) are equal and congruent.

By CPCTC, the variable x can be calculated as follows;

15x = 45°

x = 45°/15

x = 3

Since the diagonals of a parallelogram are perpendicular to each other, we have:

m<1 = 3y - 9 = 90

3y = 99

y = 33

15x = 18z

15(3) = 18z

45 = 18z

z = 45/18

z = 2.5

Read more on a parallelogram here: https://brainly.com/question/31416609

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(\frac{x+5}{12}\) is the expression.

Step-by-step explanation:

The sum of x and five is "x+5."

Then, you divide that by twelve.

So, the answer is \(\frac{x+5}{12}\) .

Hope this helps!

The statement in the expression form is -  f(x) = \(\frac{x}{12} + \frac{5}{12}\)

We have - sum of x and five divided by twelve.

We have to write it in Algebraic expression form.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

According to question, we have - sum of x and five  divided by twelve

Sum of a number x and 5 can be written as = x + 5

The sum of x and 5 divided by 12 can be written as = \(\frac{x +5}{12}\) = \(\frac{x}{12} + \frac{5}{12}\)

In this expression -   x is a variable,  \(\frac{5}{12}\) is a constant value and the algebraic operation used is addition.

Hence, the statement in the expression form is -  f(x) = \(\frac{x}{12} + \frac{5}{12}\)

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/18404565

#SPJ2

Answer:

first one gas in tank second one answer a

Step-by-step explanation:

Answer:

14.25 gallons of gas left in the tank after one hour.

Step-by-step explanation:

x is time

y is gallons of gas in tank

(x,y)

(time,gallons)

(1,14.25)

(1hr,14.25gallons)

At 1 hour, there are 14.25 gallons left in the tank.