What is the simple interest that is missing from the table?

Answer:

The approximate value of 36/π is 11.4591559026

Step-by-step explanation:

The probability that a randomly chosen item from this assembly line is defective is 0.125.

Probability simply means the likelihood of the occurence of an event.

From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.

Therefore, the probability will be:

= Percentage of detectives / Percentage of defective accepted

= 1% / 8%

= 0.01 / 0.08

= 0.125

The probability is 0.125.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) is

y + 3 = -12/7(x - 5)

Given, a line that passes through the points (5, −3) and (−2, 9).

Now, we have to find the equation of the line in point-slope form.

As, we know to find the equation of a line,

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

Now, using the above formula, we get

(y + 3)/(x - 5) = (-3 - 9)/(5 + 2)

(y + 3)/(x - 5) = -12/7

On cross-multiplying, we get

y + 3 = -12/7(x - 5)

Hence, the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) is

y + 3 = -12/7(x - 5)

Learn more about Straight Lines here https://brainly.com/question/27307465

#SPJ1

1) The first iteration, n, turns out to be (x1, y1) = ( , ).

2) If the second iteration, n, is (x2, y2) = ( , ).

To find the values of (x1, y1) and (x2, y2), we need additional information or the specific steps of the gradient method applied in MATLAB. The gradient method is an optimization algorithm that iteratively updates the variables based on the gradient of the function. Each iteration involves calculating the gradient, multiplying it by the learning rate (λ), and updating the variables by subtracting the result.

3) After s many iterations (and perhaps changing the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt, yopt) = ( , ).

To determine the values of (xopt, yopt), the number of iterations (s) and the specific algorithm steps or convergence criteria need to be provided. The gradient method aims to reach the minimum of the function by iteratively updating the variables until convergence is achieved.

4) The value of the minimum, once the convergence is reached, will be determined by evaluating the function at the point (xopt, yopt). The specific value of the minimum is missing and needs to be provided.

Learn more about gradient method here:

brainly.com/question/28016665

#SPJ11

the complete question is:

Matlab The Gradient Method Was Used To Find The Minimum Value Of The Function North F(X,Y)=(X^2+Y^2−12x−10y+71)^2 Iterations Start At The Point (X0,Y0)=(2,2.6) And Λ=0.002 Is Used. (The Number Λ Is Also Known As The Size Or Step Or Learning Rate.) 1)The First Iteration N Turns Out To Be (X1,Y1)=( , ) 2)If The Second Iteration N Is (X2,Y2)=( ,

Matlab

The gradient method was used to find the minimum value of the function north

f(x,y)=(x^2+y^2−12x−10y+71)^2 Iterations start at the point (x0,y0)=(2,2.6) and λ=0.002 is used. (The number λ is also known as the size or step or learning rate.)

1)The first iteration n turns out to be (x1,y1)=( , )

2)If the second iteration n is (x2,y2)=( , )

3)After s of many iterations (and perhaps change the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt,yopt)=( , );

4)Being this minimum=

Answer:

m = 2

Step-by-step explanation:

The given equation is :

8x – 4y - 9 = 0

The general equation of a line is given by :

y = mx+b ...(1)

here m is slope and b is y-intercept

Equation (1) can be written as :

8x – 4y = 9

Dividing both sides by (-4)

\(\dfrac{8x}{-4}-\dfrac{4y}{-4}=\dfrac{9}{-4}\\\\-2x+y=-\dfrac{9}{4}\\\\y=2x+\dfrac{-9}{4}\) ...(2)

Comparing equation (1) and (2), we get :

m = 2

Hence, the slope of the line is 2.

Answer:

2 ( x − 32 )

Step-by-step explanation:

use an algebra calculator

Answer:

y + 2 = -0.069(x-+5)

Step-by-step explanation:

SInce the two lines intersects, we will equate it

Multiply x + 3y = 0 by 4;

4x + 12y = 0

4x-4y-13 = 0,

Subtracts both

12y +4y + 13 = 0

16y = 13

y = 13/16

get x;

x + 3(13/16) = 0

x = -39/16

The point of intersection is (0.8, -2.4) and (-5,-2)

Get the equation;

m = y2-y1/x2-x1

m = -2+2.4/-5-0.8

m = 0.4/-5.8

m = -0.069

Get the equation;

y - y0 = m(x-x0)

y - (-2)= -0.069(x-(-5))

y + 2 = -0.069(x-+5)

The value of the simplified expression is -15.

The simplification of the expression is determined by substituting the appropriate values of the variables into the equation.

The given expression; = 54/g - 8h

The value of g = 6 and the value of h = 3,

The value of the expression is calculated as follows;

= 54/g - 8h

= 54/6 - 8(3)

= 9 - 24

= - 15

Learn more about simplification here: https://brainly.com/question/28008382

#SPJ1

The complete question is below:

54/g - 8h, when g = 6 and h=3

Answer:

1204 in²

Step-by-step explanation:

To find the area of a trapezoid, use the following formula: \(\frac{b_{1} + b_{2} }{2} h\). First add the two bases together: 46 + 40 = 86. Now divide that by 2: 86/2 = 43. Now multiply this by the height (28): 43 x 28 = 1204. This is your area: 1204 in².

Hope it helps!

Answer:

1204

Step-by-step explanation:

1rst add the top numbers then divide it by 2. Then with the answer you have, multiply it by the height. Hope it helps! =D

Answer:

48w +2

Step-by-step explanation:

Perimeter of a rectangle=2( length+width)

=2(15w-1+9w+2)

=2(24w+1)

=48w+2

Rei is using boxes of books to barricade a door against zombies. The total weight "w" of the barricade in kilograms is a function of "x", the number of boxes stacked on the table. Each box weighs 30 kilograms, and when there are 8 boxes on the table, the total weight is 310 kilograms. This includes the weight of the table.

To determine the weight of the table alone, we need to subtract the weight of the 8 boxes from the total weight:
Weight of 8 boxes = 8 * 30 kg = 240 kg
Weight of table = Total weight - Weight of 8 boxes = 310 kg - 240 kg = 70 kg
Now that we know the weight of the table, we can define the function "w(x)" for the total weight of the barricade as follows:
w(x) = (30 * x) + 70
This function represents the total weight "w" in kilograms of the barricade as a function of the number of boxes "x" stacked on the table. The function takes into account the weight of each box (30 kg) and the weight of the table (70 kg) to give us the total weight of the barricade with any given number of boxes.

Learn more total weight about here:

https://brainly.com/question/13547020

#SPJ11

The number of times we will incorrectly accuse the spam callers of favoring area codes that people have visited when the spam callers were not actually favoring area codes that people have visited is 4. Therefore, the number is 4. The null hypothesis is that the area codes visited by a person are selected randomly by the spammers.

Suppose you run this test for 800 different people after observing each person's last 50 spam calls. When you reject the null hypothesis for a person, you accuse the spam callers of favoring the area codes that the person has visited. If the spam callers were not actually favoring area codes that people have visited, we can compute how many times we will incorrectly accuse the spam callers of favoring area codes that people have visited.

The null hypothesis is rejected when the p-value is less than or equal to 0.05.

If the null hypothesis is correct and the spammers are selecting the area codes randomly, then the probability of rejecting the null hypothesis for a person is 0.05. The type of error associated with this scenario is a type I error, which is also known as a false positive.

The level of significance of 0.05 implies that in 100 tests, the null hypothesis would be rejected 5 times incorrectly. We have 800 people in this test.

Therefore, there are 800 * 0.05 = 40 people who will falsely reject the null hypothesis. However, we need to find out the number of times we will incorrectly accuse the spam callers of favoring area codes that people have visited.

800 * 50 * 0.05 / 2 ⇒ 4.

Therefore, the number is 4.

To know more about the "null hypothesis": https://brainly.com/question/25263462

#SPJ11

Answer:

The greatest common factor (GCF) of 21 and 8 is 1, since the only common factor of these two numbers is 1. The least common multiple (LCM) of 21 and 8 is 168, which is the smallest number that is a multiple of both 21 and 8.

Step-by-step explanation:

\(6\sqrt{5} \ cis(\frac{11\pi}{6}) \div 3\sqrt{6} \ cis (\frac{\pi}{2} )\) can be expressed in polar form as\(6\sqrt{5} \ cis(\frac{11\pi}{6}) \div 3\sqrt{6} \ cis (\frac{\pi}{2} )=\underline{\frac{\sqrt{30} }{3} } \ cis\ (\underline{\frac{4\pi}{3}})\) . Therefore the values to be dragged in the box are \(\frac{\sqrt{30} }{3}\)  and \(\frac{4\pi}{3}\).

We have to express in polar form, polar form of complex number:

\(r(cos\theta+isin\theta) \rightarrow rcis\theta\)

where, r = modulus of complex number

\(\theta\) = argument of complex number

The division of two complex number, \(z=\) \(r_{1} cis \theta_{1}\) and \(x=\) \(r_{2} cis \theta_{2}\)

\(\frac{z}{x} = \frac{r_{1} }{r_{2} }\ cis(\theta_{1}- \theta_{2})\)

Similarly, let a = \(6\sqrt{5} \ cis(\frac{11\pi}{6})\)

                    b = \(3\sqrt{6} \ cis(\frac{pi}{2})\)

\(\frac{a}{b}= \frac{6\sqrt{5} }{3\sqrt{6} } \ cis (\frac{11\pi }{6}- \frac{\pi}{2} )\)

 \(= \frac{{\sqrt{2}}\times\sqrt{2}\times\sqrt{5} }{\sqrt{2} \times\sqrt{3} } \ cis(\frac{11\pi-3\pi}{6} )\)

 \(=\sqrt{\frac{10}{3} }\ cis\ \frac{8\pi}{6}\)

\(\frac{a}{b}= \sqrt{\frac{10}{3} } \ cis\ \frac{4\pi}{3}\)

It can also be written as, \(\frac{a}{b}= \frac{\sqrt{30} }{3} \ cis\ \frac{4\pi}{3}\)

⇒ \(6\sqrt{5} \ cis(\frac{11\pi}{6}) \div 3\sqrt{6} \ cis (\frac{\pi}{2} )= \frac{\sqrt{30} }{3} \ cis\ \frac{4\pi}{3}\)

Comparing it with the question we get:

\(6\sqrt{5} \ cis(\frac{11\pi}{6}) \div 3\sqrt{6} \ cis (\frac{\pi}{2} )=\underline{\frac{\sqrt{30} }{3} } \ cis\ (\underline{\frac{4\pi}{3}})\)

Therefore, the first blank is \(\frac{\sqrt{30} }{3}\) and the second blank is \(\frac{4\pi}{3}\).

Know more about polar form of complex number,

https://brainly.com/question/28967624

#SPJ1

Answer:

115

Step-by-step explanation:

Hi! Just took the star test! Its A.115. Hope this helped! Please give brainliest if so! Have an amazing day! :)

Answer:

Angle 4 is ∠A

Step-by-step explanation:

Cos(A) = adjacent / hypotenuse

=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)

=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)

=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)

=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)

Therefore; Angle 4 is ∠A

Hope this helps!

Answer:

Can't type the Full solution

I'll solve for the triangle with angles 1 and 2

You can go for the rest.

CosA = 0.28

Taking the cos-¹(0.28) to determine its Magnitude

A=73.74°

Now

We can use sine Rule to get the values of each of the other angles in the triangle

For the first triangle

Applying sine rule

What basically happens in the rule is... Each side divided by the angle opposite it.

Look below

The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°

We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)

So

Each side over the angle opposite it

We go!!

Let's call angle "2" an alphabet. Say Q

41/sin90 = 40/SinQ

SinQ = 40sin90/41

Recall sin90=1

SinQ = 40/41

Q= Sin-¹(40/41)

Q= 77.32°

so angle 2 is 77.32°

Now apply this to get others

Angle '1' should be 12.68°

Angle "3" should be 16.26°

Angle "4" should be 73.74°

Therefore

conclusion

Angle "4" is same as A. That's the angle we looking for

Option 4 IS CORRECT!!

The quadratic function y = -7x² represents the trajectory of one of the water balloons. Since it is a quadratic function, it forms a parabola. The coefficient of x², -7, determines the shape of the parabola.

Since the coefficient is negative, the parabola opens downwards.
The x-axis represents time, and the y-axis represents the height of the water balloon. The vertex of the parabola is the highest point the water balloon reaches before falling back down. To find the vertex, we can use the formula

x = -b/2a.

In this case,

b = 0 and a = -7.

Thus, x = 0.
So, the water balloon reaches its highest point at x = 0.

Plugging this value into the equation, we find that y = 0.

Therefore, the water balloon starts at the ground, reaches its highest point at x = 0, and then falls back down.

To know more about quadratic function visit:

https://brainly.com/question/18958913

#SPJ11

Since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

The quadratic function \(y = -7x^2\) represents the height (y) of a water balloon at different moments (x). When two water balloons collide, it means their heights are equal at that particular moment. To find when the collision occurs, we can set the two quadratic functions equal to each other:

\(-7x^2 = -7x^2\)

By simplifying and rearranging, we get:

0 = 0

This equation is always true, which means the water balloons collide at every moment. In other words, they collide continuously throughout their trajectory.

In conclusion, since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

Learn more about collision from the given link:

https://brainly.com/question/30636941

#SPJ11

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ 3}(x-\stackrel{x_1}{(-4)}) \implies y -2= 3 (x +4) \\\\\\ y-2=3x+12\implies {\Large \begin{array}{llll} y=3x+14 \end{array}}\)

Answer: y = 3x + 14

Step-by-step explanation:

The slope-intercept form is y=mx+b

We will plug in -4 for the x, 2 for the y, and 3 for the m, and leave b alone to solve for it.

2 = 3(-4) + b

2 = -12 + b

b = 14

The final equation is y = 3x + 14.

Hope this helps!

If his beard  was 8 millimeter long and each passing week it grew 2 additional millimeters, the graph that represents the relationship between the length of his beard in millimeter and time in week has been plotted

The initial length of the beard = 8 millimeter

The length of beard grow in each week = 2 millimeter

Consider the number of week as x

Therefore the linear relationship will be

The length of the beard y = 2x + 8

Plot the graph using the equation

Hence, If his beard  was 8 millimeter long and each passing week it grew 2 additional millimeters, the graph that represents the relationship between the length of his beard in millimeter and time in week has been plotted

The complete question is

Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it grew 2additional millimeters.

Graph the relationship between the length of Rip van Winkle's beard (in millimeters) and time (in weeks).

Learn more about graph here

brainly.com/question/17267403

#SPJ1

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

for such more question on expression

https://brainly.com/question/4344214

#SPJ8

Answer:

I = 32

Step-by-step explanation:

4.48 divided by .14 = 32

Answer:

Step-by-step explanation:

Let the number of hours used to rent the boat be represented by h.

Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:

= $20.50 + $12.25h

where h = number of hours used.

The cost for 1 hour will be:

= $20.50 + $12.25h

= $20.50 + $12.25(1)

= $20.50 + $12.25

= $32.75

The cost for 2 hours will be:

= $20.50 + $12.25(2)

= $20.50 + $24.50

= $45

The cost for 3 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(3)

= $20.50 + $36.75

= $57.25

The cost for 4 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(4)

= $20.50 + $49

= $69.50

=

Step-by-step explanation:

Area of Rectangle Prism = Area of base x height

= Length x Width x Height

\( = 1 \times \frac{1}{4} \times \frac{1}{2} \\ = 0.125 {in}^{3} \)

One Apple Pie =

\(0.125 {in}^{3} \)

Volume of 528 Apple Pies = Volume of 1 apple pie x 528

=

\(0.125 \times 528 \\ = 66 {in}^{3} \)

The random process X(t) = A + Bt, where A and B are independent normal random variables with mean 1 and variance 1, has an infinite set of possible sample functions.

a. The sample functions of the random process X(t) = A + Bt are obtained by substituting different values of t into the expression. Since A and B are independent normal random variables, each sample function is a linear function of t with coefficients A and B. Therefore, the set of possible sample functions is infinite.

b. To find the PDF of the random variable Y = X(1), we substitute t = 1 into the expression for X(t). We get Y = A + B, which is a linear combination of two independent normal random variables. The sum of normal random variables is also normally distributed, so Y follows a normal distribution. The mean of Y is the sum of the means of A and B, which is 1 + 1 = 2. The variance of Y is the sum of the variances of A and B, which is 1 + 1 = 2. Hence, the PDF of Y is a normal distribution with mean 2 and variance 2.

c. The expected value of the product of Y and Z, denoted as E[YZ], can be calculated as E[YZ] = E[X(1)X(2)]. Since X(t) = A + Bt, we have X(1) = A + B and X(2) = A + 2B. Substituting these values, we get E[YZ] = E[(A + B)(A + 2B)]. Expanding and simplifying, we find E[YZ] = E[\(A^2\) + 3AB + 2\(B^2\)]. Since A and B are independent, their cross-product term E[AB] is zero. The expected values of \(A^2\) and \(B^2\) are equal to their variances, which are both 1. Thus, E[YZ] simplifies to E[\(A^2\)] + 3E[AB] + 2E[\(B^2\)] = 1 + 0 + 2 = 3. Therefore, the expected value of YZ is 3.

Learn more about normal distribution here:

https://brainly.com/question/14916937

#SPJ11

The equation for C in terms of t is C = 18 – 3t.

Algebra is the area of mathematics that aids in expressing issues or circumstances into mathematical expressions.

Given that Connor was given a box of assorted chocolates for his birthday

The box originally contained 18 chocolates.

There were still 9 chocolates in the box after three nights.

Now we have to find the equation for C in terms of t

18 – 9 = 9

After 3 nights

9 / 3 = 3

18 = chocolates at the beginning.

C = 18 – 3t

Therefore the equation for C in terms of t is C = 18 – 3t.

To learn more about algebra visit

https://brainly.com/question/21196212

#SPJ9

Answer:

0

Step-by-step explanation:

Answer:

He/she are cute awwwwwwwww TuT

Step-by-step explanation:

Answer:

i- is that a a cake?!

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.

At that point you can compute the area by multiplying base and height, and the total surface is 16.