Only higher experienced need answer theorems all 5 questions. Thank you 200points if repeating the last question.

Only Higher Experienced Need Answer Theorems All 5 Questions. Thank You 200points If Repeating The Last
Only Higher Experienced Need Answer Theorems All 5 Questions. Thank You 200points If Repeating The Last
Only Higher Experienced Need Answer Theorems All 5 Questions. Thank You 200points If Repeating The Last
Only Higher Experienced Need Answer Theorems All 5 Questions. Thank You 200points If Repeating The Last
Only Higher Experienced Need Answer Theorems All 5 Questions. Thank You 200points If Repeating The Last

Answers

Answer 1

Answer:

first one : inscribed angles create arc twice their degree

so, 115° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Answer 2

Answer:

15° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Step-by-step explanation:


Related Questions

Find the value of the missing angles in the following figures

Answers

Answer:

ans: ii) 87° and iii) 60°

Step-by-step explanation:

ii)

y° = 180° - ( 56° + 37°)

missing angle on triangle is alternate angle of y° so are equal and sum of angles of triangle is 180°

iii)

x° + 2x° = 180°

sum of co interior angles is 180°

help whats the answer??

Answers

Answer:

2 7/12

Step-by-step explanation:

You have to get all the fractions to a common denominator. Smallest common denominator would be 12.

5 and 3/4 turns to 5 and 9/12

2/3 turns to 8/12

2 and 1/2 turns to 2 and 6/12

8/12 + 2 6/12 = 3 2/12

5 9/12 - 3 2/12 = 2 7/12

2 7/12 being the remaining amount

PLS HELPP MEE !!
Use a calculator to find the r-value of these data. Round the value to three decimal places.

Answers

The Answer is -0.985

I just took the test.

guys plz help i’m struggling

Answers

Answer:

0.46017

Step-by-step explanation:

Given :

Mean score = 75

Standard deviation, s = 10

Areum's score = 76

Probability of scoring higher than Areum is given by :

P(x > 76)

The standardized score : (x - mean) / standard deviation

P(x > 76) = P[Z > (76 - 75) / 10]

P[(Z > 0.1)] = 0.46017 (Z probability calculator)

= 0.46017

Passion wants to rent a car to take a trip and has a budget of $75. There is a fixed rental fee of $25 and a daily fee of $10. Write ab inequality that would be used to solve for the maximum number of days for which passion can rent the car on her budget

Answers

Answer:

5 days

Step-by-step explanation:

75 = 10d +25

-25           -25

50 = 10d

/           /

10        10

5 = d

Please help please reply

Answers

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

[tex]\sqrt{225\\[/tex]

hypotenuse = 15

The following data represent the maximum wind speed (in knots) and atmospheric pressure (in millibars) for a random sample of hurricanes that originated in the Atlantic Ocean.

Atmospheric Pressure (mb) Wind Speed (knots) Atmospheric Pressure (mb) Wind Speed (knots)
993 50 1006 40
995 60 942 120
994 60 1002 40

Required:
a. Find the y-intercept of the least-squares regression line, treating atmospheric pressure as the explanatory variable (round to four decimal places.)
b. Find the slope of the least-squares regression line, treating atmospheric pressure as the explanatory variable (round to four decimal places.)
c. Is it reasonable to interpret the y-intercept of the least-squares regression line, treating atmospheric pressure as the explanatory variable? Why or why not?

Answers

Answer:

Step-by-step explanation:

X                  Y                 X²                              Y²                  XY

993              50               986049                 2500              49650

995              60               990025                 3600              59700

994              60               988036                  3600              59640

1006             40               1012036                 1600              40240

942             120               887364                 14400              113040

1002             40               1004004                 1600              40080

[tex]\sum X: 5932[/tex]   [tex]\sum Y : 370[/tex]     [tex]\sum X^2 : 5867514[/tex]    [tex]\sum Y^2 = 27300[/tex]    [tex]\sum XY : 362350[/tex]

To determine the regression:

[tex]Mean \ (X) = \dfrac{\sum X }{n} \\ \\ = \dfrac{5932}{6} \\ \\ = 988.67[/tex]

[tex]Mean \ (Y) = \dfrac{\sum Y}{n} \\ \\ = \dfrac{370}{6} \\ \\ = 61.67[/tex]

Intercept [tex]b_o = \dfrac{\sum YX *\sum X^2 - \sum X \sum Y}{n(\sum X^2) - (\sum X)^2}[/tex]

[tex]=\dfrac{370(5867514) -(5932)(370)}{6(5867514) - (5932)^2}[/tex]

= 131760.9563

Slope [tex]b_1 = \dfrac{n(\sum XY) -(\sum X *\sum Y) }{n(\sum X^2)-(\sum X)^2}[/tex]

[tex]b_1 = \dfrac{6(362350) -(5932*370) }{6(5867514)-(5932)^2}[/tex]

[tex]b_1 = -1.2600[/tex]

The regression line equation [tex]Y = b_o +b_1X[/tex]

[tex]Y = 131760.96 -1.2600 X[/tex]

We then make a comparison of the slope of the equation to y = mx+c

slope of the equation = -1.2600

the y-intercept corresponds to when X = 0, thus:

y-intercept = 131760.9563

Yes, it is reasonable to interpret the y-intercept of the regression line, Using atmospheric pressure as an explanatory variable due to the fact that:

X is the independent variable and Y exists as the dependent variable.

(x) 3 5 7
(y) 7 11 15

Find x, when y = 21

Answers

Answer:

x = 10

Step-by-step explanation:

y = 2x + 1

21 = 2x + 1

21 - 1 = 2x

2x = 20

x = 10

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life of just 5 hours. The manufacturer claims that while the new touch screen phone is more expensive, its battery life is more than twice as long as that of the leading product. In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.a. Select the relevant null and the alternative hypotheses. b-1. Calculate the value of the test statistic.b-2. Find the p-value.

Answers

Answer:

a)

The null hypothesis is [tex]H_0: \mu \leq 10[/tex]

The alternative hypothesis is [tex]H_1: \mu > 10[/tex]

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

[tex]H_0: \mu \leq 10[/tex]

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

[tex]H_1: \mu > 10[/tex]

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that [tex]\mu = 10[/tex]

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that [tex]n = 45, X = 10.5, s = 1.8[/tex]

Then

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}[/tex]

[tex]t = 1.86[/tex]

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

Select the correct answer.
The function g(x) = x is transformed to obtain function :
Rx) = g(x) + 1.
Which statement describes how the graph of his different from the graph of g?
ОА
The graph of his the graph of gvertically shifted up 1 unit.
OB.
The graph of his the graph of g horizontally shifted right 1 unit.
OC. The graph of his the graph of g horizontally shifted left 1 unit
D. The graph of his the graph of g vertically shifted down 1 unit.

Answers

Answer: A

Step-by-step explanation:

Payment types vary at the grocery store. Here are the proportions of the leading three payment methods: Payment Method Cash Credit Cards Debit Cards Proportion 0.11 0.43 0.21 If a transaction is selected at random, the probability that the customer did not pay with a Debit Card is .

Answers

Answer:

0.79

Step-by-step explanation:

Given the probability distribution :

Payment Methd: Cash Credit Cards Debit Cards Proportion : ____0.11 ____ 0.43 _____0.21

The probability that a customer did not pay with debit card can be obtained as :

If customer did not pay with debit card, then he would have paid with any of the other payment methods

This Can best be obtained using the complement method

P(not debit card) = 1 - P(debit card)

P(debit card) = 0.21

P(not debit card) = 1 - 0.21

P(not debit card) = 0.79

if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line​

Answers

Answer:

The equation of a line, having inclination 120° with positive direction of x-axis, .of x-axis, which is at a distance of 3 units from the origin is​. 1. See answer ... where α is the angle with the positive X-axis, made by the perpendicular line drawn Now, from equation  the equation of the straight line will be.

Step-by-step explanation:

The diameter of a pipe is normally distributed, with a mean of 0.8 inch and a variance of 0.0025. What is the probability that the diameter of a randomly selected pipe will exceed 0.9 inch?

Answers

Answer:

0.02275

Step-by-step explanation:

Standard deviation is the square root of variance

Standard deviation= Square(0.0025)= 0.05

Because of the normally distributed, the z- score for 0.9 inches is:

(0.9-0.8)/0.05= 2

-> P(x<= 0.9)= P(2) = 0.97725

-> P (x>= 0.9)= 1-0.97725 = 0.02275

Please answer my question correctly.

Nonsense/Plagiarized = Report​

Answers

so the circumference of a circle is C=2 times pi times the radius. in this case it would be C= 2(pi)(4) which is 25.1 :)
Problem:-

Find the perimeter or circumference and area of each figure. Round to the nearest tenth.

Solution:-

The circumference of a circle with radius r is given by C = 2πr. The radius of the circle is 4 in.

Substitute 4 for r.

[tex]\sf{C=2πr}[/tex]

[tex]\sf{ \: \: \: \: =2π(4)}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{darkviolet}{25.1}}}[/tex]

Answer:-

The circumference of the circle is about 25.1 in.

======================

The area of a circle with radius r is given by A = πr².

Substitute 4 for r.

[tex]\sf{A = πr²}[/tex]

[tex]\sf{ \: \: \: \: = π(4)²}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{magenta}{50.3}}}[/tex]

Answer:-

The area of the circle is about 50.3 in².

======================

#Hope it helps!

(ノ^_^)ノ

A table is made using the following two patterns.
Pattern 3: Starting number: 5, Rule: add 1
Pattern y: Starting number: 10, Rule: add 2
Complete the table for the given patterns.

Answers

Answer:

x = 6, y = 12

x = 7  y = 14

Step-by-step explanation:

im pretty sure that right, hope this helps!

A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random and finds the mean number of runs scored is 7.4 with a sample standard deviation of 2.88.

Required:
Is it likely that his team's scores is different than the national average?

Answers

Answer:

That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average

Step-by-step explanation:

The National average number of runs scored by a LL team is

μ   =  5.7

Sample Information:

size sample   n = 5

sample average   x  =  7.4

sample standard deviation    s  =  2.88

Is required to investigate if  that sample average is statistically different from the National average

We will do a test with 95 % of confidence Interval that means

significance level α = 5 %   or α = 0.05.

The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.

Then  α = 0.05    α/2  =  0.025

df  =  n  -  1     df  =  5  -  1     df  =  4

Then from t-student table we get  t(c)  =  2.132

Hypothesis test:

Null Hypothesis                                  H₀              x  =  μ

Alternative Hypothesis                      Hₐ              x  ≠  μ

To calculate t (s)

t(s)  = ( x  -   μ ) / s/√n

t(s)  = ( 7.4  -  5.7  )* 2.24 / 2.88

t(s)  =  1.7* 2.24 / 2.88

t(s)  = 1.32

Comparing  t(s)  and  t(c)

1.32 < 2.132

That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average

attendance drop at 7% this year to 1050 what was the attendance before the drop

Answers

Answer:

7% divided by 1050 is basically 73.5 but the fraction of that is 147/2 hope u find my answer reasonable have a great day.

Step-by-step explanation:

find the inverse function of F(x) = 1/2x-6​

Answers

F^-1 (x) = 2x + 12 hope it help

Answer:

[tex]F^{-1} (x) = 2x + 12[/tex]

Step-by-step explanation:

Let's assume F(x) = y, then

[tex]y = \frac{1}{2} x - 6[/tex]

Let us solve the equation for x.

[tex]y + 6 = \frac{1}{2} x[/tex]

[tex]2y + 12 = x[/tex]

Next, replace y with x and also replace x with F⁻¹(x)

Answer: [tex]F^{-1} (x) = 2x + 12[/tex]

Given the functions below, find (g•h) (1).
g(x) = х^2 +4+ 2х
h(x) = — 3х + 2
-7
-30
35
7

Answers

Answer:

-7

Step-by-step explanation:

We are given the following functions:

[tex]g(x) = x^2 + 4 + 2x[/tex]

[tex]h(x) = -3x + 2[/tex]

(g•h) (1)

The multiplication is:

[tex](g \times h)(1) = g(1) \times h(1)[/tex]

So

[tex]g(x) = 1^2 + 4 + 2(1) = 7[/tex]

[tex]h(1) = -3(1) + 2 = -3 + 2 = -1[/tex]

Then

[tex]g(1) \times h(1) = 7(-1) = -7[/tex]

So -7 is the answer.

Which graph shows the solution to this system of inequalities?
y>-1/3x+1
y>2x-3

Answers

Given:

The system of inequalities is:

[tex]y>-\dfrac{1}{3}x+1[/tex]

[tex]y>2x-3[/tex]

To find:

The graph of the given system of inequalities.

Solution:

We have,

[tex]y>-\dfrac{1}{3}x+1[/tex]

[tex]y>2x-3[/tex]

The related equations are:

[tex]y=-\dfrac{1}{3}x+1[/tex]

[tex]y=2x-3[/tex]

Table of values for the given equations is:

    [tex]x[/tex]                   [tex]y=-\dfrac{1}{3}x+1[/tex]             [tex]y=2x-3[/tex]

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of [tex]y=-\dfrac{1}{3}x+1[/tex].

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of [tex]y=2x-3[/tex].

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

someone can help me with this?​

Answers

Answer:

3q + 2p =

Step-by-step explanation:

Perimeter refers to the outside lines only so hence, 3q + 2p =

a housewife spent 3/7 of her money to buy yams and 1/2 of the remainder to buy rice what is the fraction of her money left​

Answers

Answer:

Fraction of money spent on calculator = 2/5

Find the fraction of money left:

1 - 2/5 = 3/5

Find the fraction of money spent on a book:

4/7 x 3/5 = 12/35

Answer: She spent 12/35 of the money on a book

------------------------------------------------------------------------------------------------

To find the fraction of saving:

Fraction of money saved = 1 - calculator - book

Fraction of money saved = 1 - 2/5 - 12/35 = 9/35

Fraction of the money saved = 9/35

Step-by-step explanation:

Evaluate the given equation for the indicated function values. pls help

Answers

Answer:

The answer in each numeral is:

f(4) = 28f(10) = -19f(-5) = -33f(9) = -9

Step-by-step explanation:

To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:

1. f(n) = 5n + 8   f(4) = ?

As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:

1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28

The first answer is 28, now we'll continue with the next exercises:

2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -19

3. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -33

4. f(n) = -nf(9) = -9

In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.

Find the inverse of \(\Large h(x) = \frac {3}{2}x + 1 \)

Answers

Answer:

[tex]h(x) = \frac {3}{2}x + 1 \\ { \tt{let \: the \: inverse \: be \: { \bold{m}}}} \\ { \tt{m = \frac{1}{ \frac{3}{2}x + 1 } }} \\ \\ { \tt{m = \frac{2}{3x + 2} }} \\ \\ { \tt{m(3x + 2) = 2}} \\ \\ { \tt{3x + 2 = \frac{2}{m} }} \\ \\ { \tt{x = \frac{2 - 2m}{3m} }} \\ \\ { \tt{x = \frac{2}{3m}(1 - m) }} \\ \\ { \bf{h {}^{ - 1} (x) = \frac{2}{3x}(1 - x) }}[/tex]

i already have A but I do not have B

Answers

Answer:

-4 , -1 , -2 , 0 , +1 , +3

Step-by-step explanation:

Answer:

the integers -4,-2,-1,0, +1, +3

Step-by-step explanation:

because when you put them in order  you find which pairs are located between -5 and +5

-8,-4,-2,-1,0,+3,+8,+9

which tells you that

-4,-2,-1,0, +1, +3 are between -5 and +5

a)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
cement company earns a profit of ₹ 10 per bag of white cement and a loss of ₹ 5 per
bag of grey cement. The company sells 325 bags of white cement and 500 bags of
grey cement. What is its profit or loss?

Answers

Answer:

There was a profit of ₹750.

Step-by-step explanation:

325 bags of white cement

Profit of 10 for each bag of white cement. So

[tex]P = 325*10 = 3250[/tex]

500 bags of grey cement.

Loss of 5 for each bag of grey cement. So

[tex]L = 5*500 = 2500[/tex]

What is its profit or loss?

3250 - 2500 = 750

Positive, so profit. There was a profit of ₹750.

Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s.
a = 60°, s = 44 ft
The radius is ft.
(Round to the nearest hundredth as needed.)

Answers

Answer:

42.02 ft

Step-by-step explanation:

60 : 360 = 44 : x

x = 264 ft (length of the circumference)

C = 2 * radius * pi

radius = C / 2 * pi

Radius = 264 / 2 * pi = 42,016905 ft

A survey found that one out of five Americans says he or she has visited a doctor in any given month. If 10 people are selected at random, find the probability that at least 3 will
have visited a doctor last month.

Answers

32
I took the test
On
Ed
Gen
Unity

a and b are complementary angles and a and c are supplementary angles. If a=xº, (a) express b and c in terms of x
(b) find c - b.​

Answers

Step-by-step explanation:

a + b = 90

a + c = 180

a) If a = x, the. we can write

x + b = 90 and x + c = 180

or

b = 90 - x

c = 180 - x

b) c - b = (180 - x) - (90 - x)

= 180 - x - 90 + x

= 90

Answer the following and round to one decimal place.

Answers

Step-by-step explanation:

5 1/2% = 5.5% = 5.5/100 = 0.055

0.055 * 68 = 3.74

Answer:

3.74

Step-by-step explanation:

[tex]5\frac{1}{2}%[/tex] of 68

In order to do this you need to convert 5 1/2 into a decimal!

Answer: 5.5

Explanation: 5 is a whole number and half of one unit will be 0.5

5 + 0.5 = 5.5

Then multiply 5.5 and convert 68 into "0.68"

5.5 × 0.68 = 3.74

Answer: 3.74

Other Questions
Qu cambios crees que se dieron en la vida de Mxico desde el modelo exportador hasta los aos sesenta? I NEEED HELPPPPP PLEASEEEE UM BEGGING SOMEONE PLEASEEEEEEEEEEEE Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False The probability of the Windermere Monster existing is 0.1.What is the probability of it not existing? Can anyone answer it please FORM THREE - 20211. The fourth term of an AP is twice as great as the third term and the 12th term is 30. Find;(a) The sum of the first 20 terms(b) The common difference A Punnett square is a tool used to Group of answer choices A predict the probability of genetic crossesB determine the possibility of inheriting athletic abilities C guess what genetic disorders might be inherited D all of these Explain the role of enzymes to living organisms When businesses produce goods ansld services that consumers do not want Answer the questions relating to the bar graph in the image. At 7 pm, a burning candle is 16 inches tall. At 9:30 pm, the candle is only 3.5 inches tall. What is the UNIT RATE of the number of inches burned from the candle per hour? A scientist uses a submarine to study ocean life.*She begins at sea level, which is an elevation of 0 feet.*She descends for 91 seconds at a speed of 2.2 feet per second.*She then ascends for 32 seconds at a speed of 0.7 feet per second.At this point, what is her elevation, in feet?if you anserw corectly ill give you crown and more points Marina is given a rectangular piece of paper. If the length of Marinas piece of paper is represented by 3x -6 and the width is represented by 2x -5, then the paper has a total area represented by Drag each tile to the correct boxArrange the following pairs of coordinates in order from least to greatest based on the distances between the points.(4.1) and (2, 2)(-5. 2) and (-3, -2)(3.-4) and (-2, 1)(-1.-2) and (1-4)(5.-2) and (-1, -1) Which three options below describe legislative fuctions? Select the correct answer. The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C. -77 feet D. -86 feet E. -97 feet -2 1/2 - (-1 3/4) ? Name the ordered pair for point H.25 points if answered. 2.5kg of potatoes cost $1.40 work out the cost of 4.25 kg of potatoes what reasons would you give for the reaction of consumers to price changes Mar. 1 CMS began operations by receiving $100,000 in cash. The business issued shares of common stock in exchange for this contribution. Mar. 1 CMS paid $1,200 for a 12 month insurance policy. The policy begins Mar. 1. Mar. 4 CMS guided a small rock climbing trip, receiving $20,000 payment in cash. Mar. 22 Collected $3,000 cash from customer on account. Mar. 24 Paid rent on their property, $4,000 cash. Mar. 27 Paid $1,000 cash on account. Mar. 31 Cash dividends of $2,500 were paid to stockholders.Prepare the bank reconciliation at March 31, 2021.Journalize any required entries from the bank reconciliation.Prepare a cash t-account to verify the balance of the account matches the adjusted book balance from the bank.