question at position 12 the length of another kind of fish is normally distributed with mean 66.7 and standard deviation 8.5. a random sample of 190 fish is collected from the ocean. what is the lower bound for a 95% confidence interval for the average length of the entire population of fish?

The distance between the point A and B is 15 units.

The distance between two points can be found using Pythagoras's principle.

Point A is located at (7,4), and point B is located at (-8,4). Let's find the distance between point A and B as follows:

Therefore,

d = √(y₂ - y₁)² + (x₂ - x₁)²

Hence, using (7, 4) (-8, 4)

x₁ = 7

x₂ = -8

y₁ = 4

y₂ = 4

Hence,

d = √(4 - 4)² + (-8 - 7)²

d = √(0)² + (-15)²

d = √225

d = 15 units

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The formula of v is equal to the ratio of 10u to (u+10) that is 10u/(u+10).

The given formula is an equation that relates two variables, u and v, in an experiment on lenses. The equation states that the ratio of (u - v) to (uv) is equal to 1/10.

That is,

u-v / uv = 1/10

To solve for v, we can use algebraic manipulation techniques. By multiplying both sides of the equation by (uv), we get

(u - v) = (uv) / 10.

Then, by adding v to both sides, we get,

u = v + (uv) / 10

u = v (1 + u/10)

10u = v (u+10)

Finally, by dividing both sides by (u+10), we arrive at the final solution:

v = (10u/(u+10))

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By using the ratio, we can see that the fraction 3/5 of the total number of books are chapter books, then there are 300 chapter books in the children's section.

We know that the ratio of picture books to chapter books is 2:3

This means that (2/5) of the total books are picture books, and (3/5) of the total books are chapter books (the denominator of these fractions is the sum of the values in the ratio)

Now we know that there is a total of 500 books in the children's section, then the number of chapter books is:

N = (3/5)*500  =300

There are 300 chapter books.

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Answer:

Attached, [tex]p \geq 4[/tex]

To solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.

If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.

However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.

For example:

> to <

to

Divide -4 on both sides.

[tex]\frac{-16}{-4} \geq \frac{-4p}{-4}[/tex]

[tex]4 \geq p[/tex]

Flip the sign.

[tex]4\leq p[/tex]

[tex]p\geq 4[/tex]

When the line is pointing right, it means the variable is greater than the said number. If the dot is filled in, it means greater than or equal to or less than or equal to. If it is not filled in, it means greater than or less then.

The answer is:

4 ≤ p

Work/explanation:

The inequality is:

[tex]\sf{-16\geqslant-4p}[/tex]

To solve, divide each side by -4. Since we're dividing by a negative number, we will reverse the inequality sign.

We end up with:

[tex]\sf{4\leqslant p}[/tex]

The expression B represents the price of each bird house and 75-B represents the number of birdhouses sold

An expression is combination of variables, numbers and operators.

Given that You make 75 birdhouses and sell them for B dollars each.

The predicted sales for different prices, B.'

The expression B(75-B) to show your income from sales for the different prices.

We need to find what the B represents and what the 75-B represents.

The B represents the price of each bird house and 75-B represents the

number of birdhouses sold

Hence, the expression B represents the price of each bird house and 75-B represents the number of birdhouses sold

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The Pythagorean theorem is used to determine the length of side c =  12.12cm

According to the Pythagorean theorem, the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides. The hypotenuse is the side that faces the right angle. Consequently, in this instance, c2 = a2 + b2.

given are 20°, 8 cm, and 9 cm.

To determine c's length

replacing the specified values: c^2 = 8^2 + 9^2

c = √(8^2 + 9^2) = √(64 + 81) = √(145)\sc = 12.12 cm

Therefore, side C is 12.12 cm long.

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Answer:

tell me the answer hello tell ne

Answer:

Step-by-step explanation:

28/7=4

4 teams

The correct answer is B. $1,000. According to a survey conducted by Bankrate in 2019, 48% of Americans reported having less than $1,000 in savings.

This can be calculated using the following formula:

Percentage of Americans with less than $1,000 in savings = (Number of Americans with less than $1,000 in savings / Total number of Americans surveyed) x 100

Using the data from the survey, the formula can be expressed as follows:

Percentage of Americans with less than $1,000 in savings = (11,094 / 23,064) x 100 = 48.1%

This means that nearly half of all Americans reported having less than $1,000 in savings. This is a concerning statistic, as it indicates that many Americans are not preparing adequately for financial emergencies.

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The co-ordinates of a point C on AB produced so that 3AB = AC, where A = (3 ,2) and B = (-2 , 4) is  (-13,-2).

Using the section formula, if a point[tex]$(\mathrm{x}, \mathrm{y})$[/tex]divides the line joining the points [tex]$\left(\mathrm{x}_1, \mathrm{y}_1\right)$[/tex]and[tex]$\left(\mathrm{x}_2, \mathrm{y}_2\right)$[/tex]externally in the ratio [tex]$\mathrm{m}: \mathrm{n}$[/tex], then

[tex]$(\mathrm{x}, \mathrm{y})=$[/tex][tex]$\left(\frac{m x_2-n x_1}{m-n}, \frac{m y_2-n y_1}{m-n}\right)$[/tex]

Since, , [tex]$3 \mathrm{AB}=\mathrm{AC} \Rightarrow \frac{\mathrm{AB}}{\mathrm{AC}}=\frac{1}{3}$[/tex]

[tex]& \Rightarrow \frac{\mathrm{BC}}{\mathrm{AC}}=\frac{3-1}{3}=\frac{2}{3}[/tex]

Substituting[tex]$\left(\mathrm{x}_1, \mathrm{y}_1\right)=(3,2)$[/tex] and [tex]$\left(\mathrm{x}_2, \mathrm{y}_2\right)=(-2,4)$[/tex]and [tex]$\mathrm{m}=2, \mathrm{n}=3$[/tex] in the section formula, we get

[tex]$$\mathrm{C}=\left(\frac{2(-2)-3(3)}{2-3}, \frac{2(4)-3(2)}{2-3}\right)=(-13,-2)$$[/tex]

The complete question is,

Find the co-ordinates of a point C on AB produced so that 3AB = AC, where A = (3 ,2) and B = (-2 , 4)

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The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

Area of a triangle = 1/2 x base x height

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

Rounded to the nearest whole number, the probability that the two cards dealt to Annika will both be diamonds is 9.52%. The concept that is used to answer this question is probability.

To calculate the probability that Annika gets two diamond cards dealt to her, we need to find the number of favorable outcomes (getting two diamond cards) and divide it by the total number of possible outcomes (getting any two cards from the remaining 15 cards in the deck).

Since the cards are dealt without replacement, the total number of possible outcomes will be (15 choose 2) = 105.

To find the number of favorable outcomes, we need to find the number of ways to choose 2 cards from the 5 remaining diamond cards. This can be calculated as (5 choose 2) = 10.

So the probability of getting two diamond cards dealt to Annika is: (Number of favorable outcomes) / (Total number of possible outcomes) = 10/105

To express the probability in percentage format, we multiply the fraction by 100

10/105 * 100 = 9.52%

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Move all terms not containing x to the right side of the inequality. Inequality Form:

x≤4

Interval Notation: (−∞,4]

The volume of rectangular prism is  0.625 cm^3.

the volume of rectangular prism=w*h*l

w=1.5cm h=1/4 cm l=5/3cm

volume = 1.5*1/4*5/3

=0.625cm^3

The volume of a rectangular prism is  0.625 cm^3.

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A possible factor of x³ - 6x² + 11x - 6 is (x - 1).

Let us choose a number randomly and plug in the polynomial. After plugging the number in the given polynomial if we get the result as zero then we can express it in the form (x - a) as a factor of the given polynomial. (Here 'a' is the randomly chosen number).

Let us choose the number 1 and plug in the polynomial.

x³ - 6x² + 11x - 6 = (1) ^ 3 - 6 (1) ^ 2 + 11 (1) - 6 = 0

Hence, we can say that (x - 1) is a possible factor of the given polynomial

x³ - 6x² + 11x - 6.

The given question is incomplete, the complete question is:

What is a possible factor of x³ - 6x² + 11x - 6?

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The difference between addition or subtraction and multiplying decimals is vary of decimal point places.

What is decimal numbers?

A fraction with a power of 10 as the denominator is known as a decimal number. For instance, the decimal equivalent of the fraction 4/10 is 0.4. The decimal point is the dot found in decimal figures. The fraction's numerator, or fractional component, is indicated by the number to the right of the decimal point.

We align the decimal points for addition and subtraction so that the decimal and whole number components are aligned.

The only difference between multiplying decimals and multiplying whole numbers is where the decimal point appears in the solution.

In order for the number of decimal places in the product to equal the sum of the decimal places in the factors, the decimal point must be inserted in the product when multiplying decimals.

Hence the difference between addition or subtraction and multiplying decimals is vary of decimal point places.

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105 joule/second is the power generated in a body moving at a velocity of 15m/s with a force of 7N in 2s​

The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There is no distinction between living and non-living things in the concept of a force.

Given, a body moving at a velocity of 15m/s with a force of 7N in 2s​

From the general formula of Power

Power = force * velocity

In our case

force = 7N

velocity = 15 m/s

Thus,

Power = 7 * 15 Nm/s

Power generated in body = 105 Nm/s or joule/s

Therefore, the power generated in a body moving at a velocity of 15m/s with a force of 7N in 2s​ is 105 joule/second.

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The rectangular coordinates for the point (6, 5π/6) in polar coordinates are (-3√3, 3)

To convert the given polar coordinates (6, 5π/6) to rectangular coordinates, we can use the following formulas:

x = r cos(θ)

y = r sin(θ)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line segment connecting the origin to the point.

Plugging in the values, we get:

x = 6 cos(5π/6) = 6 (-√3/2) = -3√3

y = 6 sin(5π/6) = 6 (1/2) = 3

Therefore, the corresponding coordinates for the point q given in polar coordinates as (6, 5π/6) are (-3√3, 3).

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Answer:

length = 8 m

Step-by-step explanation:

note the area of a room cannot be 32 cm²

so you must mean area = 32 m²

let the width be w then length is w + 4

area (A) of a rectangular room is calculated as

A = length × width

given A = 32 , then

w(w + 4) = 32

w² + 4w = 32 ( subtract 32 from both sides )

w² + 4w - 32 = 0 ← in standard form

(w + 8)(w - 4) = 0 ← in factored form

equate each factor to zero and solve for w

w + 8 = 0 ⇒ w = - 8

w - 4 = 0 ⇒ w = 4

but w must be greater than zero, so w = 4

length = w + 4 = 4 + 4 = 8 m

Answer:

D.

Step-by-step explanation:

x + 6 ≤ 8

Subtract 6 on both sides.

x ≤ 2

Option D.

The other two angles in an obtuse angled triangle are acute because one of them is greater than 90 degrees and the other two are less than 90 degrees.

Any triangle with an interior angle greater than 90 degrees is said to have an obtuse angle. The sum of the other two angles in an obtuse triangle is less than 90° if one angle in the triangle is greater than 90°.

Obtuseness can never exist in an equilateral triangle. Each of the equal sides and angles in an equilateral triangle measures 60°, making them all sharp. Because of this, an equilateral angle can never be acutely inclined.

The triangle's longest side is the one across from the acute angle.

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The concept of statistical significance is mathematically defined and widely accepted by those who use it to assess the usefulness of scientific claims.

However, there is no single definition for practical significance. It is subjective in nature, experiential, and each person decides what it is based on their own experiences.

Thus, it is clear that while Practical significance lacks a common definition, statistical significance has a mathematical definition and is widely accepted by those who use it to assess the usefulness of scientific claims. It is a subjective concept that each person decides for themselves based on their personal experiences.

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Answer:

work output = 40 N*m

Work input = 60 N*m

Efficiency = 66.67%

Step-by-step explanation:

I did this on a paper so Im sorry but it's to complicated to explain the work proof on the computer. I dont want to type all that equation stuff but thats the answer.

No, x2 is not an inverse function. An inverse function is a function that reverses the order of the input and output of another function.

No, x2 is not an inverse function. An inverse function is a function that reverses the order of the input and output of another function. This means that the output of the inverse function is the input of the original function, and the input of the inverse function is the output of the original function. The x2 function does not meet this criteria, as it is simply a function that squares the input.

No, x2 is not an inverse function. An inverse function is a function that reverses the order of the input and output of another function.

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Answer:

D. (4, -7)

Step-by-step explanation:

To see if a point lands on the graph of a line, substitute the coordinates (x, y) to the x and y in the equation to see if the result is true:

Option A: (2, 7)
Substitute the values in:

[tex]y=-2x+1\\7=-2(2)+1\\7=-4+1\\7=-3[/tex]
Not true.
So option A is out.

Option B: (3, -8)

Substitute the values in:

[tex]y = -2x + 1\\-8=-2(3)+1\\-8=-6+1\\-8=-5[/tex]

Not true.
So option B is out.

Option C: (6, 8)

Substitute the values in:

[tex]y = -2x + 1\\8=-2(6)+1\\8=-12+1\\8=-11[/tex]

Not true.
So option C is out.

Option D: (4, -7)

Substitute the values in:

[tex]y = -2x + 1\\-7=-2(4)+1\\-7=-8+1\\-7=-7[/tex]
True.
So point (4, -7) lands on the graph of the line. You can also see this visually in a graphing calculator:
(See picture)

The method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial is called completing the square.

The steps to complete the square are as follows:

Move any constant term to the right side of the equation by subtracting it from both sides.

Divide the coefficient of the x term by 2 and square that number, add it to both sides of the equation.

Factor the left side of the equation as a perfect square trinomial.

Take the square root of both sides of the equation, and then add or subtract the value from dividing the coefficient of the x term by 2 to the right side to solve for x.

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Answer:

brian is 15 and alice is 13

Step-by-step explanation:

just use x+x+2=28 nd u will get the answer

Aaron's weight is $118$ pounds - $54$ pounds = $64$ pounds more than Levi's weight.

Weight is a measure of the gravitational force of attraction between an object and the Earth, or between two objects. It is measured in Newtons (N) or kilograms (kg). Weight is created by the force of gravity that pulls objects toward the center of the Earth. The greater the mass of an object, the greater the force of gravity and thus the greater its weight. Weight is an important factor in determining the motion of an object and its interaction with other objects.

Aaron's weight is $10$ pounds more than twice Levi's weight, so Levi's weight is $\frac{1}{2}(118 - 10) = 54$ pounds. This means that Aaron's weight is $118$ pounds - $54$ pounds = $64$ pounds more than Levi's weight.

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Based on the graph provided, g(x) is negative only on the interval (6, infty), since that's when the y-values of g(x) are negative (or below the x-axis).

On that interval of (6,infty), f(x) is also below the x-axis, so (6,infty) is your answer.

The distance between the two towers is 2285.4 m (2.3 km)

An angle of depression is the angle formed when a given object is viewed below the horizontal plane.

Let the horizontal distance to the base of the first tower be represented by x, so that;

Tan θ = opposite/ adjacent

Tan 37 = x/ 2700

x = Tan 37 * 2700

  = 0.7536*2700

  = 2034.6

x = 2034.6 m

Let the horizontal distance to the base of the second tower be represented by y, so that;

Tan θ = opposite/ adjacent

Tan 58 = y/ 2700

y = Tan 58 * 2700

  = 1.6*2700

  = 4320

y = 4320 m

The distance between the two towers = y - x

                           = 4320 - 2034.6

                           = 2285.4

The distance between the two towers is 2285.4 m (2.3 km).

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The simple interest amount which applies to the principal given the rate and time as required to be determined is; 18.

It follows from the task content that the interest earned on a principal amount of 600 using a rate of 4% per annum over the course of 9 months is to be determined.

Since the interest earned, i is given by the formula;

i = prt

where, p = principal = 600.

r = annual interest rate = 4% = 0.04

t = time = 9 months = 0.75 years.

Hence, the interest earned is;

i = 600 × 0.04 × 0.75

i = 18.

Ultimately, the interest earned is; 18.

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