please help, ill give brainlyest

The mean and standard deviation for the GPA of the students will be 3 and 0.8165.

The mean simply means the average of a given set of numbers. The mean will be:

= 12/4

= 3

The standard deviation will be:

= ✓2/3

= 0.8165

The 95% confidence interval for the populations mean GPA will be 1.70 < U < 4.30. The interval lower limit is:

= 3.00 - 1.299.l

= 1.70

The interval upper limit will be;

= 3.00 + 1.299

= 4.30

Also, the regression line is Y = -1.2857 + 0.3571x.

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1. Brad's monthly payment is $1,266.71.

2. Over the course of the loan, Brad will pay a total interest of $206,016.

3. The house's total cost (future value) is $456,016.

The total cost of the house after 30 years represents its future value.

The future value can be determined as the present plus accumulated compound interest.

We can compute the future value using an online finance calculator as below.

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PV (Present Value) = $250,000

FV (Future Value) = $0

Results:

PMT = $1,266.71

Sum of all periodic payments = $456,016 ($1,266.71 x 360)

Total Interest = $206,016

Thus, Brad will incur a total cost (future value) of $456,016, including the present value and the interest.

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Option B. 12.9 cm²

Solution

h =Sin(40)*8

S = h*5/2 = 12.85>>12.9 cm2

The area of ​​a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of ​​the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of ​​the triangle.

The area of ​​a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Answer:

18 minutes

Step-by-step explanation:

This is a simple calculation, all we really need to do is subtract...

Since we started at 3:14 and went to 3:32 pm it is really easy since it is in the same hour.

3:32pm - 3:14pm =

18 minutes

Hope this helps :)

Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer: $44.85

Step-by-step explanation:

$14.95x3

When 15 milliliters of pure drug are in 500 mL of solution, the percent strength of the solution is

information from the problem

15 milliliters of pure drug are in 500 mL of solution

the percent strength of the solution = ?

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

= volume of pure drug / volume of solution * 100

= 15 milliliters / 500 milliliters  * 100

= 0.03

= 3%

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Answer:

The answer is the second one

Step-by-step explanation:

Please choose me for brainliest

Recall that

\((a+b)^3=a^3+3a^2b+3ab^2+b^3\)

which means

\(\left(r+\dfrac1r\right)^3=r^3+3r^2\left(\dfrac1r\right)+3r\left(\dfrac1r\right)^2+\left(\dfrac1r\right)^3=r^3+3r+\dfrac3r+\dfrac1{r^3}\)

Given that \(r+\frac1r=\sqrt2\), we have

\((\sqrt2)^3=r^3+3\sqrt2+\dfrac1{r^3}\)

\(\implies r^3+\dfrac1{r^3}=2\sqrt2-3\sqrt2=\boxed{-\sqrt2}\)

Answer: 78.5

Step-by-step explanation:

The measure of the exterior angle k is 157° opposite to two interior angles

J and K.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180° and the measure of an exterior angle is the sum of the two opposite interior angles.

Given, In ΔJKL, m∠J = 67° and m∠L = 90°.

∴ The measure of the exterior angle to ∠K is m∠J + m∠L.

= 67° + 90°

= 157°.

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Answer:

4

Step-by-step explanation:

The x-intercept occurs when y=0, if you think about it graphically.  Plug y=o into your equation:

10x - 5(0) = 40

10x = 40 (divide each side by 10)

x=4

The volume of a rectangular prism is given by:

Answer:

Total periodic pension costs (TPPC) is equal to the contributions plus change in the pension liability during the year. Each period, the periodic pension cost is recognized in profit or loss (P&L) and/or in other comprehensive income (OCI).

Answer:

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Step-by-step explanation:

Given that:

Height of woman between age 20 -29 are approximately normal with:

population mean = 64.3 inches &;

standard deviation = 2.7

For men:

population mean = 69.9 inches

Standard deviation = 3.1 inches

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

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Factors of \(50x-60\) is \(10(5x-6)\).

Given \(50x-60\).

We have to find out the greatest common factor from the above expression so for this we have to find out the factor for each term.

the factors of  \(50x=1\times 2\times 5\times 5\times x\)

and the factors of \(60=1\times 2\times 2\times 3\times 5\)

Now find 1,2,5 are common in factors of both the terms.

So \(1\times 2\times 5=10\) is the GCF for the expression 50x−60.

Now, \(50x-60= 10\times 5\times x-10\times 6\)

Or, \(50x-60= 10(5x-6)\).

Hence factors of \(50x-60\) is \(10(5x-6)\).

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The percentage by which it is less than the other is 10%

From the question we are asked to find the percentage of which the difference of the two numbers are. To do this, we take the subtraction of both

110 - 100 = 10

Then we find the percentage of this number.

10/100 * 100 = 10%

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The calculated price per video game for store A is $1.79 per game

From the question, we have the following parameters that can be used in our computation:

The price per video game for store A is calculated as

Price per video game = Total price/Number of games

using the above as a guide, we have the following:

Price per video game = 8.95/5

Evaluate the quotient

So, we have

Price per video game = 1.79

Hence, the price per video game for store A is $1.79 per game

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I believe it is

\(\frac{1}{6}(x + 5) = 4 - y\)

From the given numbers root (3/4) and root (9/4) irrational numbers.

What are irrational numbers?

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

Here,

root(3/16) is a rational number

root(9/16) is a rational number.

Therefore, from the given numbers root(3/4) and root(9/4)  are the irrational numbers.

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Answer:

$1,300

Step-by-step explanation:

$3,000x.05= $150

$11500x.1= $1,150

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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y-(-9) = -6(x-(-4)), y = -6x-33

The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.

In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.

The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.

The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.

The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.

Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.

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