A lower tail test is being performed, so the area to the left of the test statistic z=−2.19 is needed. Use the standard noernal table to find the rho value for this test statistic. rounding the resalt to four decimal places, p-value =

The 10 yearly payments worth is $ 7299806.

The current value of a future sum of money or stream of cash flows at a certain rate of return is known as present value (PV). A discount rate or the interest rate that could be earned if invested is added to the future value for present value.

it is given that

PMT =$ 900000

Rate = 4%

years = 10

using the formula

PV = \(A * \frac{1 - \frac{1}{(1+R)^{N} } }{R}\)

PV = (900000/0.04) × (1 - (1/ (1+0.04)^10))

PV = $ 7299806

the payment you receive today is $7299806

so, it is better to accept 10 annual payments as it has a higher value.

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Answer:

x = -8

y = -2

Step-by-step explanation:

The variable x in this system of equations is already isolated. Therefore, we can substitute it into the other equation and solve for y.

7(2y - 4) + 5y = -66

14y - 28 + 5y = -66

19y = -66 + 28

y = -2

Then we solve for x

x = 2(-2) - 4

x = -8

Answer:

the 8 in the graph

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

It will take 1 hour and 24 minutes.

Step-by-step explanation:

Given that:

Eastbound train travels at a rate of 65 miles per hour and Westbound train travels at a rate of 85 miles per hour

So speed = 65 + 85 = 150 miles per hour

Total distance = 210 miles

We have to find the time, we know that

Distance = time * speed

OR

Time = distance / speed

Time = 210/150

Time = 1.4 hours

Or it can be written as:

Time = 1 hour 24 minutes

Hope this helped :D

We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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Answer:

0.3 tons :)

Step-by-step explanation:

9600 ounces =0.3 tons

Answer:

\(\sf{}\)

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:

2,375,000

Step-by-step explanation:

From the question,

A map has a scale of 1: 1250000.

We are told that:

On a map, The cave of truth is 1.9cm away from the waterfall of dreams.

How far away are they in real life?

This is calculated as:

1 = 1250000

1.9 = x

Cross Multiply

x = 1.9 × 1250000

x = 2,375,000

Therefore, there distance in real life = 2,375,000

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{3}}} \implies \cfrac{ 1 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{3}) \\\\\\ y-7=\cfrac{ 1 }{ 3 }x-1\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+6 \end{array}}\)

Stephen read about 9 pages more each week.

What is a linear equation in math?

If stephen reeds 278 pages in 7 week ,

To find number of pages read in 1 week, divide 278 by 7

                    = \(\frac{278}{7}\)  ⇒ 39.71

Another person reads 31 pages each week.

So stephen reads allmost 40  per week and alice 31.

Then, we need to find the difference between them

Difference = 40 - 31 = 9

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Answer:

b

Step-by-step explanation:

check 1 by 1

a. \(y=\frac{\sqrt[3]{x}}{5}\)

\(x=\frac{\sqrt[3]{y} }{5}\)

125x^3=y which is not equal to g(x)

b. y=2x-9

inverse= x=2y-9

x+9=2y

y=(x+9)/2 which is equal to g(x). B is the answer.

The vector-valued function at each given value of t  is :

a) i

b)  1/√2i+9/√2j

c)−cos(θ)i+9sin(θ)j

d)  −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

The given problem is related to trigonometric Ratios of Angle, where there are six trigonometric ratios sine, cosine, tangent, cotangent, cosecant, and secant. Since it is given that a  vector valued function:

r(t)= cos(t)i + 9 sin(t)j

r(t)=cos(t)i+9sin(t)j

so ,  r(0)=  cos(0)i+9sin(0)j = i ( sine cos0 =1 and sin0 =0)

r(π/4) =  cos(0)i+4sin(0)j = cos(π/4)i+9sin(π/4)j

           = 1/√2i+9/√2j

r(θ−π)= cos(θ−π)i+9sin(θ−π)j= −cos(θ)i+9sin(θ)j

(π/6+△t)−r(π/6)= cos(π/6+△t)i+9sin(π/6+△t)j−cos(π/6)i−9sin(π/6)j

=  cos(π/6+△t)i−cos(π/6)i+9sin(π/6+△t)j−9sin(π/6)j

= −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

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Evaluate (If possible) the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.)

r(t)=cos(t)i+9sin(t)jr(t)

a)r(0)=?

b)r(π/4)=?

c)r(θ−π)=?

d)r(π/6+△t)−r(π/6)=?

The value of the function f(-1) is -4

A function is simply described as an equation that explains the relationship between the independent variable and the dependent variable.

From the information given, we have the function;

f(x)=4x^2+9x+9

To determine the value of f(-1)

substitute the value of x as- 1, we get;

f(-1) = 4(-1)² + 9(-1) + 9

expand the bracket, we get;

f(-1) = -4 -9 + 9

Add or subtract the values, we have;

f(-1) = -4

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The distance covered by light in 2 weeks is \(3.6288*10^{14}\) m.

It is given that:-

Speed of light = \(3*10^8 m/s\)

We have to find the distance travelled by the light in 2 weeks.

We know that,

1 week = 7 days

Hence,

2 weeks = 14 days

Also,

1 day = 24 hours

1 hour = 60 minutes

1 min = 60 seconds

Hence, we can write,

1 day = 60*60*24 seconds = 86,400 seconds

14 days = 86400*14 = 12,09,600 seconds

We know that,

Speed = distance/time

Hence,

distance = speed * time

Hence, distance travelled by light in 2 weeks = \(3*10^8*1209600 = 3628800 * 10^8 = 3.6288*10^{14} m\)

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Answer:

ccccccc

Step-by-step explanation:

Answer:

give me brainlyest plz

Step-by-step explanation:

The percentage rate of mark up from 1948 to 1967 is 12,631.65%.

Generally speaking, the markup price of a product can be calculated by multiplying the cost price by the markup value.

In order to determine the percentage rate of markup from 1967 to 192013, we would calculate the total overall cost and apply direct proportion as follows.

In 1948:

Total overall cost = 124 × 66

Total overall cost = $8,184.

In 1967:

Total overall cost = $15,787.25 × 66

Total overall cost = $1,041,958.5.

Mark up price = 1,041,958.5 - 8184.

Mark up price = 1,033,774.5

1,033,774.5/8,184 = x/100

x = 1,033,77450/8,184

x = 12,631.65%

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Complete Question:

In 1948, 5 people bought 66 acres of land for $124.00 per acre, In 1967, the same 66 acres was sold and bought for $15,787.25 per acre.

What was the percentage rate of mark up from 1948 to 1967?

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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Step-by-step explanation:

n(s) for 2 cubes =6×6=36

n (5, even) = 3

(5,2) (5,4) & (5,6)

so, probability = 3/36 = 1/12

Step-by-step explanation:

The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.

In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)

Answer:

61.2

Step-by-step explanation:

circumference= 2πR

r=d/2

r= 19.5/2

r=9.75

circumference= 2×3.14×9.75

circumference= 61.2

The coordinates of A' after rotating the triangle 90 degrees clockwise are (-1, -2/3).

Rotation is a transformation in which a geometric figure is turned around a point or an axis. The point or axis that the figure rotates around is called the center of rotation.

During a rotation, each point of the original figure is transformed to a new location by rotating a specified angle θ about the center of rotation. The new location is determined by drawing a line from the point to the center of rotation, rotating that line by the angle θ, and then marking the new location of the point where the rotated line intersects with the new position of the original line.

Rotations can be either clockwise or counterclockwise, depending on the direction of the angle of rotation. A positive angle of rotation represents a counterclockwise rotation, while a negative angle of rotation represents a clockwise rotation.

To rotate the triangle 90 degrees clockwise, we can use the following transformation matrix:

|cosθ sinθ| × |x| |y|

|-sinθ cosθ| |-y| = |x|

where θ is the angle of rotation in radians, and (x,y) are the coordinates of a point.

For a 90-degree clockwise rotation, we have θ = -π/2, since a negative angle indicates a clockwise rotation. So the transformation matrix becomes:

|0 1| × |x| |y|

|-1 0| |-y| = |x|

To apply this transformation to the coordinates of the triangle, we can first translate the triangle so that its centroid is at the origin. Then, we can apply the transformation matrix to each vertex, and finally, we can translate the triangle back to its original position.

The centroid of the triangle can be found by taking the average of the x-coordinates and the average of the y-coordinates:

x' = (2 + 4 + 3)/3 = 3

y' = (3 + 3 + 1)/3 = 7/3

So we can translate the triangle by (-3,-7/3) to bring its centroid to the origin.

The coordinates of the transformed vertices will be:

A' = (0 - (3-2), 1 - (7/3-3)) = (-1, -2/3)

B' = (0 - (3-4), 3 - (7/3-3)) = (1, 8/3)

C' = (0 - (3-3), 2 - (7/3-3)) = (0, 1/3)

Therefore, the coordinates of A' after rotating the triangle 90 degrees clockwise are (-1, -2/3).

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Answer:

a is the answer

Step-by-step explanation:

.......................

Answer:

Step-by-step explanation:

2(4x - 3) = 9 + 2x + 6               Combine the like terms on the right

2(4x - 3)  = 2x + 15                   The distributive property gets rid of the brackets

8x - 6 = 2x + 14                        Add 6 to both sides

     6              6

8x = 2x + 20                            Subtract 2x from both sides

-2x   -2x        

6x = 20

Step 2 is the error. It is a very common error. You multiply 2 and - 3 together. as well as 2 and 4 together. If you are going to forget something that will be it.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

1: C =69.3 m2

2: F = ll units

3. C:  3 in.

4. G =65 units

Step-by-step explanation:

1: C =69.3 m2

We see from the figure that height of the parallelogram ABCD is not known and the base is 10 m

Taking the right angled triangle the height is given by

Sine theta= height/hypotenuse

height = hypotenuse* sine theta

         = 8* sine 60

         = 8* 0.866= 6.928

Area of parallelogram= base * height

                   = 10 * 6.928

                   = 69.28

                  =69.3 m²

2: F = ll units

We see from the figure that height of the parallelogram DEFG is not known and the base is 13 cm

Area of parallelogram= base * height

                  143 = 13 * height

           Height = 143/13= 11 units

3. C:  3 in.

The area of the triangle = 1/2 * base * height

Let the height be x then the base is 3x

54= 1/2*x*3x

54= 3x²/2

27= 3x²

x²=27/3

x²= 9

x= 3

The height is 3 inches

4. G =65 units

Area of the quadrilateral = 1/2 *PR*QO + 1/2 *PR*OS

                                      = 1/2*13*4+ 1/2*13*6

                                        =26+ 39

                                        = 65 units

These measurements are given in the diagram .



1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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