I need help finding S please help fast

I Need Help Finding S Please Help Fast

Answers

Answer 1

Answer:

s = 89°

Step-by-step explanation:

Exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

[tex] \therefore[/tex]

[tex] \rm \implies (v + 1) \degree + (v - 28) \degree = (v + 32) \degree \\ \\ \rm \implies 2v - 27 \degree = (v + 32) \degree \\ \\ \rm \implies 2v -v = 32 \degree + 27 \degree \\ \\ \rm \implies v = 59 \degree [/tex]

Sum of angles in a straight line is equal to 180°

[tex] \therefore[/tex]

[tex]\rm \implies v + 32 \degree + s = 180 \degree \\ \\ \rm \implies 59 \degree + 32 \degree + s = 180 \degree \\ \\ \rm \implies s + 91 \degree = 180 \degree \\ \\ \rm \implies s = 180 \degree - 91 \degree \\ \\ \rm \implies s = 89 \degree[/tex]


Related Questions

What is an equation of the line that passes through the points (4, -2)(4,−2) and (8, 3)(8,3)

Answers

The equation of line passing through points (4,−2) and (8, 3) is 4y - 5x + 28 = 0

What is the equation for a straight line?

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given pair of points are  (4,−2) and (8, 3).

The equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given as,

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

Substitute the respective values to get the equation of line as,

y = ((x - 4 ) / (4 - 8)) (-2 - 3) + (-2)

y = ((x - 4 ) / 4) × 5 - 2

4(y + 2) = 5(x - 4)

4y - 5x + 28 = 0

Hence, the equation of line for the given points is 4y - 5x + 28 = 0.

To know more about straight line equation click on,

brainly.com/question/21627259

#SPJ1

A candy company sells peanut brittle and almond bark. The information for both types of candy is shown.

graph labeled Peanut Brittle with x axis labeled weight in ounces and y axis labeled cost in dollars with a line from point 0 comma 0 going through 10 comma 10


Almond Bark
Weight (ounces) 4 12 16
Cost (dollars) 5 15 20


Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.25 more per ounce than peanut brittle.
Peanut brittle costs $0.25 more per ounce than almond bark.
Almond bark costs $0.20 more per ounce than peanut brittle.
Peanut brittle costs $0.20 more per ounce than almond bark.

Answers

The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:

Almond bark costs $0.25 more per ounce than peanut brittle.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:

y = kx.

The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:

10k = 10

k = 10/10

k = 1.

For Almond Bark, the price per candy is obtained as follows, from the table:

4k = 5

k = 5/4

k = 1.25.

Hence the difference of the prices is:

1.25 - 1 = $0.25.

Which means that the first option is correct.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Answer:

Almond bark costs $0.25 more per ounce than peanut brittle.

Step-by-step explanation:

6 sqrt 44z + sqrt 99z

Answers

Answer: 15√11z

Step-by-step explanation:

3 times 4 times 4 times 3 times 3 times 4 = 3 (to the power of x) times 4 (to the power of y)

Answers

The value of 3 times 4 times 4 times 3 times 3 times 4 in exponent is 3³ × 4³

What is an exponent?

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the expression given is 3 times 4 times 4 times 3 times 3 times 4. It should be noted that the 4 occurs three times as well as the 3.

Therefore, this will be 3³ × 4³.

Learn more about exponents on:

brainly.com/question/13669161

#SPJ1

18
8. Carey bought a $2,100 computer system on the installment plan. He made a $400 down
payment, and he has to make monthly payments of $79.50 for the next two years. How much
interest will he pay?

Answers

Answer:

$208

Step-by-step explanation:

$79.50 x 24 = 1908

$1908 + 400 = 2308

$2100/2308 = 9%

Carey will pay a total interest of $1,508 over the course of the installment plan for the computer system.

What is Interest?

Interest is a financial concept that represents the cost of borrowing money or the return on invested capital. It is a fee charged for the use of borrowed funds or the compensation received for lending money or investing in assets.

Total number of monthly payments

= 12 months/year x 2 years

= 24 months

and, Monthly payment amount = $79.50

Total amount paid in monthly installments

= Monthly payment amount x Total number of monthly payments

= $79.50 x 24

= $1,908

Next, we can subtract the initial down payment from the total amount paid to find the interest paid:

Total interest paid = Total amount paid - Down payment

= $1,908 - $400

= $1,508

Therefore, Carey will pay a total interest of $1,508 over the course of the installment plan for the computer system.

Learn more about Interest here:

https://brainly.com/question/30393144

#SPJ2

Find the angle between each of these pairs of vectors:
A = -2.00 i + 6.00 j and B = 2.00 i - 3.00 j

Answers

The angle of pairs = 170.

The characteristics of the scalar product allows to find the angle between the two vectors is:

The scalar product is the product between two vectors whose result is a scalar.

           A . B = |A|  |B| cos θ

Where A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.

The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.

           i.i = j.j = 1            i.j = 0            A . B = (4 i - 4j). * -5 i + 7j)            A . B = - 4 5 - 4 7            A. B = -48

We look for the modulus of each vector.

             |A| = 4 √2          |B| = 8.60We substitute.            -48 = 4√2  8.60  cos θ            -48 = 48.66 cos θ            θ = cos⁻¹              θ = 170º

In conclusion using the dot product we can find the angle between the two vectors is:

Hence, the angle θ = 170º

Learn more about vectors here:

https://brainly.com/question/25705666

#SPJ13

If you make $4 on a sale of one share of stock that you bought for $22, what is your ROI?

Answers

Answer:

$26

Step-by-step explanation:

find the amount on $ 6,250 at 8%p.a compounded annually for 2 years. also, find the compounded intrest

Answers

The Compound Interest is $7,290.00.

What is Compound Interest?

In order to calculate compound interest, multiply the principal of the original loan by the annual interest rate multiplied by the number of compound periods minus one.

Given:

P= 6250

T= 2 years

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 6,250.00[tex](1 + 0.08/1)^{(1)(2)[/tex]

A = 6,250.00(1 + 0.08)²

A = $7,290.00

Hence, The Compound Interest is $7,290.00.

Learn more about Compound Interest here:

https://brainly.com/question/14295570

#SPJ1

A system of equations is shown below.
What is the value of y for the solution to the system? [2z - y = 3
(エー3y=4
A.2
B.1
c.-1
D.-5

Answers

Answer:

option c

y = -1

Step-by-step explanation:

2x - y = 3 -----------------(1)

x - 3y = 4 ------------------(2)

from equation (2)

x = 4 + 3y-------------------(3)

substituting the value of x in equation (1)

2(4+3y) - y = 3

8 + 6y - y = 3

5y = 3-8

5y = -5

y = -1

substituting the value of y in equation (3)

x = 4 - 3

x = 1

The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts​ (a) through​ (c).
Temperature: Days:
​50-59 5
​60-69 309
​70-79 1496
​80-89 1521
​90-99 533
​100-109 6
​(a) Approximate the mean and standard deviation for temperature.

B) Use the frequency histogram of the data to verify that distribution is bell shaped. Yes or No

C) According to the Empirical rule, 95% of the days in the month will be between what two temperatures?

Answers

Regarding the data-set of the temperatures, it is found that:

a) The mean and the standard deviation are given as follows:

Mean: 80.41Standard deviation: 8.33.

b) The histogram is bell shaped.

c) 95% of the days will be between 63.75 ºF and 97.07 ºF.

How to obtain the mean and the standard deviation?

The first step towards obtaining the mean and the standard deviation is obtaining the relative frequencies, which are the absolute frequencies divided by the number of observations.

The number of observations is:

5 + 309 + 1496 + 1521 + 533 + 6 = 3870.

Considering the midpoint of each interval, the following distribution is built:

P(X = 54.5) = 5/3870 = 0.0013.P(X = 64.5) = 309/3870 = 0.0798.P(X = 74.5) = 1496/3870 = 0.3866.P(X = 84.5) = 1521/3870 = 0.3930.P(X = 94.5) = 533/3870 = 0.1377.P(X = 104.5) = 6/3870 = 0.0016.

The mean is given by the sum of each value multiplied by it's relative frequency, hence:

E(X) = 54.5 x 0.0013 + 64.5 x 0.0798 + 74.5 x 0.3866 + 84.5 x 0.3930 + 94.5 x 0.1377 + 104.5 x 0.0016 = 80.41.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their relative frequencies, as follows:

S(X) = sqrt((54.5-80.41)² x 0.0013 + (64.5-80.41)² x 0.0798 + (74.5-80.41)² x 0.3866 + (84.5-80.41)² x 0.3930 + (94.5-80.41)² x 0.1377 + (104.5-80.41)² x 0.0016) = 8.33.

From the histogram, most values are around the mean, with a small percentage of around 0.3% around the bounds, accordingly with the Empirical Rule, hence the distribution is normal.

By the Empirical Rule, a percentage of 95% of the observations is within two standard deviations of the mean, hence:

80.41 - 2 x 8.33 = 63.75.80.41 + 2 x 8.33 = 97.07.

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Drag each tile to the correct box. Not all tiles will be used.
Consider the recursively defined function below.
f(1) = = 10
f(n) 2.2 f(n-1), for n = 2, 3, 4, ...
Create the first five terms of the sequence defined by the given function.

Answers

The first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22  f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.

What is a sequence?

A collection of events or items that occur one after the other in a specific order is referred to as a sequence.

Here, we have

Given the function is f(n) = 2.2 [ f(n-1) ] Here, f(1) = 10 then we have to create the first five terms of the sequence defined by the function.

Since f(1) = 10

f(2) = 2.2 [ f (2-1) ] = 2.2× [ f (1) ]

    = 2.2 × 10 = 22

f (3) = 2.2 [ f (3-1)] = 2.2 × [ f (2) ]

       = 2.2 × 22 = 48.4

f(4)  = 2.2 [ f(4-1) ] = 2.2× [ f(3)]

       = 2.2 × 48.4 = 106.48

f(5)  = 2.2 [ f(5-1) ] = 2.2× [ f(4)]

        2.2× 106.48 = 234.256

Hence the first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22  f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.

To learn more about the sequence from the given link

https://brainly.com/question/6561461

#SPJ1

1. Solve the equation (9-6p) =
-11 for p.

Answers

Answer:

p=p=10/3

Explanation:

9-6p =-11=p=10/3

41​% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ (a) exactly​ three, (b) at least​ four, (c) less than eight.

P(3)=
P(x >4)=
P(x<9)=

Answers

The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​;

(a) exactly​ three = 0.1314

(b) at least​ four = 0.7953

(c) less than eight = 0.93382

How to solve Binomial Probability Distribution Problems?

The binomial probability distribution is the probability of exactly x successes on n repeated trials, with p probability. The formula is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)^(n - x)

We are given;

p = 41% = 0.41

n = 12

Thus;

1) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ exactly​ three;

P(3) = ¹²C₃ * 0.41³ * (1 - 0.41)^(12 - 3)

P(3) = 0.1314

2) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is at least​ four;

P(x ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

P(x ≥ 4) = 0.7953

3) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight using binomial probability calculator is;

P(X < 8) = 0.93382

Read more about Binomial Probability Distribution at; https://brainly.com/question/15278907

#SPJ1

Joey has 80 pens and 30 of them are red. What percent are red?

Answers

Answer:

Step-by-step explanation:

12 ^-3 wasnt at school the week we did negative integers help pls

Answers

1/1728 is the value of negative integers .

What in math is an integer?

A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.Three sorts of integers exist: 0 (zero), positive integers (natural numbers), and negative integers (Additive inverse of Natural Numbers)

= 12⁻³

= 1/12³

=  1/1728

Learn more about integer

brainly.com/question/15276410

#SPJ13

Dog food comes in two different sized bags. The 4 lb bag sells for $19.49 while the 30 lb bag sells for $73.99. Which is cheaper per pound and by how much?

Answers

Answer:

30 lb bag is cheaper by about $2.40

Step-by-step explanation:

to find per pound we divide

19.49/4= 4.8725

$4.87per pound

$73.99/30=2.46633

$2.47 per pound

30 lb bag is cheaper per pound

4.87-2.47=2.40

hopes this helps please mark brainliest

Some ​-digit ​numbers, such as 300003 and 604406​, read the same forward and backward. If a boy selects a number from all six ​-digit ​numbers, find the probability that it will read the same forward and backward.

Answers

The probability that the boy will select a palindrome number is 1/900.

What is a palindrome?

A number that reads the same both forward and backward is known as a palindrome.

The 6 digits palindrome numbers can be formed starting from 100 and writing the reverse of 100 before 100 like 100-001, 101-101, 102-201,...,

995-599, 996-699, 997-799, 998-899,999-999.

Therefore, the 6 digits palindrome numbers can be formed using three digits starting from 100 to 999.

Since we are starting from 100, subtract 99 from 999 to get the total number of 6 digits palindrome numbers,

999-99

=900

Therefore, there are 900 six digits palindrome numbers.

The probability of selecting one palindrome number out of a total of 900 numbers is,

1/900

Therefore, the probability that the boy will select a palindrome number is 1/900.

Learn more about the Palindrome numbers:

https://brainly.com/question/19052372

#SPJ1

Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n=990 and x=581 who said​ "yes." Use a 95% confidence level.

Answers

The 95% confidence interval for the proportion of respondents who say yes is of:

(0.5562, 0.6176)

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The remaining parameters, which are the sample size and the estimate, are given as follows:

[tex]n = 990, \pi = \frac{581}{990} = 0.5869[/tex]

The lower bound of the interval is of:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5869 - 1.96\sqrt{\frac{0.5869(0.4131)}{990}} = 0.5562[/tex]

The upper bound of the interval is of:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5869 + 1.96\sqrt{\frac{0.5869(0.4131)}{990}} = 0.6176[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

HELP PLEASE ILL DO ANYTHING ONE MCRIB BURGER

Answers

The solutions for the graphed linear inequality are (-4, 0), (-1, 4), (0, 0), and (-2, 0). The correct options are A. (-4, 0), B. (-1, 4), C. (0, 0), and E. (-2, 0)

Determining the solutions of a linear inequality from a graph

From the question, we are to determine all of the solutions for the linear inequality whose graph is given

To do this, we will find the points that fall in the solution region (shaded portion of the graph)

A. (-4, 0)

The point (-4, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

B. (-1, 4)

The point (-1, 4) falls in the solution region. Thus, it is a solution for the linear inequality.

C. (0, 0)

The poi0nt (0, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

D. (4, -1)

The point (4, -1) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

E. (-2, 0)

The poi0nt (-2, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

F. (0, -2)

The point (0, -2) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

Hence, the solutions are (-4, 0), (-1, 4), (0, 0), and (-2, 0).

Learn more on Determining the solutions of a linear inequality from a graph here: https://brainly.com/question/15544485

#SPJ1


If CE and FH are parallel lines and m/CDG =
are parallel lines and m/CDG = 128°, what is mZHGD?

Answers

Answer: It is 128 too
ALTERNATE INTERIOR ANGLES

Can I have some help asap?

Answers

Answer:

I will help you okay????

2
Linda paid $5.50 for 4 pounds of
strawberries. How much did she pay
per pound of strawberries?

Answers

She paid $1.375 per pound of strawberries.

What is the unit rate?

When expressed rate as a fraction, a unit rate has a denominator of 1.

Since 4 pounds cost $5.50, 1 pound of strawberries will cost 5.50/ 4 ≈ $1.375.

To learn more about the unit rate from the given link

https://brainly.com/question/4895463

#SPJ1

A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1,095 ​respondents, 631 said it was a good thing.
c. Find a​ 95% confidence interval for the proportion who believe immigration is a good thing.

Answers

A 95% confidence interval for the proportion who believe immigration is a good thing is; CI = (0.4173, 0.7173)

What is the Confidence Interval of Proportions?

The formula for the confidence interval of proportions is;

CI = p ± z√(p(1 - p)/n)

where;

p is sample proportion

z is z-score at confidence level

n is sample size

We are given;

Number of success; x = 631

Sample size; n = 1095

Thus;

sample proportion; p = x/n = 631/1095 = 0.5763

The z-score at 95% confidence level is 1.96. Thus;

CI = 0.5673 ± 1.96√(0.5673(1 - 0.5673)/1095)

CI = 0.5673 ± 0.015

CI = (0.5673 - 0.15), (0.5673 + 0.15)

CI = (0.4173, 0.7173)

Read more about Confidence Interval of Proportions at; https://brainly.com/question/15712887

#SPJ1

What are the answers to 3, 4, and 5? Thank you.

Answers

The missing terms in the two column proof are;

Reason 4; Opposite Angles

Reason 5; AAS Congruency Postulate

How to carry out two column proof of triangles?

From the given image, we want to use the two column proof to prove that ΔAEC ≅ ΔDEB.

Now, we have the two column proof as follows;

Statement 1; AC ║ BD

Reason 1; Given

Statement 2; AC ≅ BD

Reason 2; Given

Statement 3; ∠ACE ≅ ∠DBE

Reason 3; Alternate angles

Statement 4; ∠AEC ≅ ∠BED

Reason 4; Opposite Angles

Statement 5; ΔAEC ≅ ΔDEB

Reason 5; AAS Congruency Postulate

The final proof is AAS Congruency postulate because it has 2 congruent angles and the non-included congruent side.

Read more about two column proof at; https://brainly.com/question/1788884

#SPJ1

Which represents the solutions of the graphed system of equations y=x2+2x-3 and y=x-1?

Answers

Answer:

second option

Step-by-step explanation:

the solution to the system of equations is at the points of intersection of the two graphs.

the graphs intersect at (- 2, - 3 ) and (1, 0 ) , then

the solutions are (- 2, - 3 ) and (1, 0 )

4x7 = 2x + 15

Does the equation have one
none, or infinite solutions?
Explain why.

Answers

Answer:

There is only one solution

Step-by-step explanation:

4x - 7 = 2x + 15

+7        +7

4x = 2x + 22

-2x   -2x

2x = 22

divide by 2 into both sides

x = 11

Since there is only one answer, there is only ONE solution.

y=-2x^2+20x-2 what is the maximum or minimum value of the function

Answers

The Minimum value is y(min) = 48 , x = 5 and The maximum value is   [tex]y = -2(x -5)^2+48[/tex]

Given,

In the question:

The given Function is :

[tex]y = -2x^2 + 20x -2[/tex]

To find the maximum or minimum value of the function:

Now, According to the question:

For maximum value:

The given Function is :

[tex]y = -2x^2 + 20x -2[/tex]

Take out the leading coefficient is :

[tex]y = -2(x^2 + 10x) -2[/tex]

Complete the square:

[tex]y = -2(x^2 + (2(-5))x +(-5)^2+(-2-(-2).(-5)^2)[/tex]

Express the function in vertex form:

[tex]y = -2(x -5)^2+48[/tex]

For Minimum Value:

y(min) = 48

x = 5

Hence, The Minimum value is y(min) = 48 , x = 5 and The maximum value is   [tex]y = -2(x -5)^2+48[/tex].

Learn more about Function at:

https://brainly.com/question/14996337

#SPJ1

If y varies directly as x, find the constant of variation k and the direct variation equation for the situation.
y=2 when x= 10

Answers

Variation refers to differences in characteristics between individuals of the same species or between different genera or species. The formula is y = 0.25x.

What is meant by variation equation?A variation is a relationship between one set of values for one variable and another set of values for another variable. Variation in direct. If m is a nonzero constant and b = 0, then the function y = mx (often written y = kx) is a direct variation of the equation y = mx + b. If y varies directly as x and y = 6 when x = 2, the constant of variation is k = 3. As a result, the equation for this direct variation is y = 3x.The direct variation equation is a two-variable linear equation given by y = kx, where k is the constant proportionality. In a coordinate plane, the direct variation graph is a straight line.

Therefore,

y=0.25 x

the initial statement is y ∝ x

to convert to an equation multiply by k  the constant of

⇒ y=k x

to find k use the given condition

y=0.5 when x=2

[tex]$y=k x \Rightarrow k=\frac{y}{x}=\frac{0.5}{2}=0.25$$[/tex]

the equation is y = 0.25x

To learn more about variation equation, refer to:

https://brainly.com/question/2272521

#SPJ1

The variation equation  is [tex]y=\frac{1}{5} x[/tex]

What do you mean by direct variation?If two quantities change by the same amount, they are said to follow a direct variation. As a result, when one quantity changes, the other follows suit, increasing when the first changes and decreasing when the first changes. To put it another way, two quantities are said to be directly proportional to one another if the ratio of the first to the second is a constant term. The coefficient or constant of proportionality is the name given to this constant quantity.The mathematical relationship between the two quantities in the direct variation formula makes it so that one of the variables is a constant multiple of the other. The sign "" is used to indicate that two quantities are directly proportional to one another or directly varying from one another. Assuming that x and y are two quantities that are directly varying, they are stated as follows: y∝ xThe direct variation formula is expressed as follows when the proportionality sign is omitted.

Calculation

Given, y =2 and x=10

we know the direct relation in y∝ x

so, y = kx, where k is the proportionality constant

2= k*10

k = [tex]\frac{2}{10} =\frac{1}{5}[/tex]

Therefore, the direct variation equation for this situation is [tex]y=\frac{1}{5} x[/tex]

To learn more about direct variation, refer to https://brainly.com/question/6499629

#SPJ1

Suppose 50% of the registered voters in a country are Republican. If a sample of 629 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by more than 4%? Round your answer to four decimal places.

Answers

The probability that the sample proportion of the Republicans will differ from the population by more than 4% is 95.56%

How to get the required probability

The probability is calculated using z score, this is used to determine the amount of difference a sample, X is from the standard deviation

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

population mean, μ  = p = 50% = 0.5

sample size, n = 629

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.50(1 - 0.50)) / 629}

= √{(0.50 * 0.50) / 629}

= 0.0199

Differ by more than 4% is differ by 50% + 4%

X = 50% + 4% = 54% = 0.54

The probability of more than 54% P = P(p > 54%) = P(p > 0.54)

P(p > 0.54) = 1 - P(p < 0.54)

Z score for z < 0.54

z = (X - μ) / σ

= (0.54 - 0.50) / 0.0199

= 2.01

p value for z < 2.01 = 0.0444

P(p > 0.54) = 1 - P(p < 0.54)

= 1 - 0.0444

= 0.9556

= 95.56%

Learn more about p-values at:

https://brainly.com/question/29328444

#SPJ1

Lee.com accepted a $70,000, 634% , 120-day note on July 26. Lee discounted the note on October 28 at LB Bank at 6%. What proceeds did Lee receive? (Use Days in a year table) (Round your answer to the nearest cent.)

Answers

On October 28, Lee received proceeds of $71,153.66 from the discounted note.

What is note discounting?

Discounting a note involves receiving immediate cash by selling it to a financial institution at a discount.

The implication of discounting a note is that the receiver gets less than the maturity value.

The maturity value is the face value of the note plus the computed interest.

Face value of the note receivable = $70,000

Interest rate = 6.34%

Note period = 120 days

July 26 - October 28 = 94 days

Maturity value of the note receivable = The Face Value + Interest

= $71,459.07 [$70,000 + ($70,000 x 6.34% x 120/365)]

Bank discount rate = 6%

The discount period from October 28 to Nov 22 = 26 days (120 - 94)

Bank discount = Maturity Value x Discount Rate x Discount Period

= $305.41 ($71,459.07 x 6% x 26/365)

Proceeds = Maturity value - Bank discount

= $71,153.66 ($71,459.07 - $305.41)

Thus, by discounting the note receivable at LB Bank at 6%, Lee received $71,153.66 instead of the $71,459.07 it would have received at maturity.

Learn more about discounting notes at https://brainly.com/question/13161668

#SPJ1

Other Questions
In Unit 2, you read excerpts from "My Bondage and My Freedom" by FrederickDouglass and "Incidents in the Life of a Slave Girl."1. Which piece had the greater impact on you? Why?2. Why is it important to hear from authors like Frederick Douglass and Harriet AnnJacobs from this time period?3. Why is it important to read a wide range of literature or read texts from manydifferent authors from today? jake is another investor who currently owns shares of esolver stock. he would like to place a particular kind of limit order, in which the order is canceled if it cannot be executed immediately at the specified price or better. this type of order is known as The cost to attend a public university in a recent year is $16,241. The circle graph tothe right shows the percentage of that cost for tuition/fees, room, board, andcomputer costs. Determine the cost, in dollars, for each category.The cost of tuition and fees is $.(Round to the nearest cent as needed.)The cost of room is $.(Round to the nearest cent as needed.)The cost of board is $.(Round to the nearest cent as needed.)The computer costs are $(Round to the nearest cent as needed.)Cost to Attend a Public UniversityTuition/Fees 36.9%Room 31.5%Board 24.9%Computer costs 6.7% eight times the quotient of x and 2 a letter to the prinicpal complaining about the school rules as it relates to grade 11 students Problem 3) A 70 ft long, 0. 5 in diameter hose with a roughness of 0. 0009 ft is fastened to a water faucet where the pressure is P1, Determine P1 if there is no nozzle attached and the average velocity in the hose is 6 ft/s Neglect minor losses and elevation changes. Repeat the problem if there is a 0. 25 in diameter nozzle attached to the end of the hose Ken can walk 40 dogs in 8 hours. How many dogs can Ken walk in 1 hours? Write the coordinates of the vertices after a translation 3 units right and 12 units down In Gilgamesh: A New English Version, Enkidu is a loyal companion who proves himself to be an archetype of . In the middle of a park, there is a fenced off area in the shape of a square with an area of 225 yards. What is the side length of the square? What is the perimeter of the fenced off area? what is a peremiter equipment that had been acquired several years ago by a special revenue fund at a cost of $40,000 was sold for $15,000 cash. accumulated depreciation of $30,000 existed at the time of the sale. the journal entry to be made in the special revenue fund will include why it is advisable to rip back the the jacket and cut it from the cable even after you have already stripped the jacket What were the immediate politicalconsequences of the PreliminaryEmancipation Proclamation ? Which of the following can cause a loss in species, a reduction in populations, species extinctions,and species migrations?O Abiotic and biotic factorsO BiodiversityO Ecosystem disruptionO No answer text provided. A physicist steps on a piece of gum. The gum exerts a constant non conservative force of 3 newtons as she picks up her foot. If her foot is 1 kg how much force would she have to exert to accelerate her foot vertically at 6 m/s2?A) 15 newtonsB) 18 newtonsC) 28 newtonsD) 22 newtons E) 25 newtons What are the possible causes of the change in temperature during the Quaterinary period? marcus sometimes sees shadows that are not really there. would this be considered a visual hallucination? Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.-4, (-2 , 1) 0, (-1, 21) Pooja, Cathy, Huzefa, and Angela have come together to form a group based on their common interest of dining at new restaurants and writing about them in their blog. What kind of a group is this?Pooja, Cathy, Huzefa, and Angela have come together to form a(n) ______ group. Find x80x+51X =OK60 ALGEBRA