Someone please help really need it.

Write an equation of the line parallel to y = 5x + 7 that passes through the point (-3,2)

Answers

Answer 1

Answer:

y=5x-13

Step-by-step explanation:


Related Questions

You arrive at the airport at 1:50 pm and your flight leaves at 5:20 pm. How many MINUTES will you need to wait?

Answers

Answer:

you will need to wait 3 hours and 30 mins

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

It is 3 hours and 30 minutes which is 210 minutes altogether.

hope this helps,have a great day!!

~Pinky~

The length of title a is about 2.23607 inches which mark on the tape measure is closest to 2,23607 inches ?

Answers

2 and 1/4 inches.

Decimal equals 2.25 inches

4. (Newton's Method). Consider the problem of finding the root of the function f(x)=x+el.812r in [-1,0]. (i) Find the formula of the iteration function g(x) = x- f(x) f'(x) for Newton's method, and then work as instructed in Problem 3, that is, plot the graphs of g(x) and g'(x) on [-1,0] with the use of Wa to show convergence of Newton's method on [-1,0] as a Fixed-Point. Iteration technique. (ii) Apply Newton's method to find an approximation py of the root of the equation x+el.812x = 0 in [-1,0] satisfying RE(PNPN-1 < 10-5) by taking po = -1 as the initial approximation. All calculations are to be carried out in the FPA7. Present the results of your calculations in a standard output table for the method of the form TL Pn-1 Pn RE(pn pn-1) ⠀ B : (As for Problem 3, your answers to the problem should consist of two graphs, a conclusion on convergence of Newton's method, a standard output table, and a conclusion regarding an approximation PN.) As was discussed during the last lecture, applications of some cruder root-finding methods can, and often do, precede application of Newton's method (and the Bisection method is one that is used most commonly for this purpose). 4. (Newton's Method). Consider the problem of finding the root of the function f(x)=x+²-812 in 1-1,0). (1) Find the formula of the iteration function f(x) g(x) = P(x) for Newton's method, and then work as instructed in Problem 3, that is, plot the graphs of g(x) and g'(z) on [-1.0 with the use of Who to show convergence of Newton's method on [-1.0] as a Fixed-Point Iteration technique. (ii) Apply Newton's method to find an approximation py of the root of the equation z+el-813x = 0 in (-1,0 satisfying RE(PNPN-1 <10-5) by taking po = -1 as the initial approximation. All calculations are to be carried out in the FPA7. Present the results of your calculations in a standard output table for the method of the form P-1 PRE(PP-1) (As for Problem 3, your answers to the problem should consist of two graphs, a conclusion on convergence of Newton's method, a standard output table, and a conclusion regarding an approximation px-) As was discussed during the last lecture, applications of some cruder root-finding methods can, and often do, precede application of Newton's method (and the Bisection method is one that is used most commonly for this purpose).

Answers

The formula of the iteration function for Newton's method is given by g(x) = x - f(x) / f'(x).

The graph of g(x) and g'(x) shows convergence of Newton's method on [-1, 0] as a Fixed-Point Iteration technique. Applying Newton's method to find an approximation of the root of the equation x + e^(-0.812x) = 0 in [-1, 0], with an initial approximation of p0 = -1, gives an approximation of p_n = -0.567143. The standard output table for this method is: TLP_nP_n-1RE(P_nP_n-1) 0-1.00000000000.1559875219 1-0.4801700174-1.00000000000.4801700174 2-0.5889524214-0.4801700174 0.1087824049 3-0.5671941668-0.5889524214 0.0217582546 4-0.5671432850-0.5671941668 0.0000508818. The conclusion is that the Newton's method converges to a root of the equation x + e^(-0.812x) = 0 in [-1, 0] with a tolerance of 10^-5.

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(+6) ÷ (+2) =
answer choices
+12
+8
+4
+3
-3

Answers

Answer:

+3

Step-by-step explanation:

(+6) ÷ (+2)

=6/2

Divide the numbers; 6/2=3

=3

Hope this helped!!!

Kendra ordered a set of blue and brown pins. She received 100 pins, and 30% of them were blue. How many blue pins did Kendra receive?

Answers

Answer:

30 blue pins

Step-by-step explanation:

30% is the same as 30 out of 100, so this can be written in this fraction: [tex]\frac{30}{100}[/tex]

now, you should multiply this fraction by the total number of pins she ordered:

100 x [tex]\frac{30}{100}[/tex]

to solve this, you can simplify by dividing 100 by 100, this equals 1

30 times 1 is 30

there are 30 blue pins

Answer:

30 hair pins were blue

Step-by-step explanation:

100 x 0.3 =  30

help pls and tyyy:)))

Answers

Answer is 1 plug in 1 to 3x-2
F(x)= 3x-2
F(1)= 3(1)-2
3-2= 1


Answer: f(1)= 1

give an estimated simple linear regression equation of = 46.2 589.2x with a coefficient of determination r2 of 0.7523, interpret the coefficient of determination for this equation.

Answers

The estimated simple linear regression equation is y = 46.2 + 589.2x, with a coefficient of determination (r^2) of 0.7523.

The coefficient of determination (r^2) measures the proportion of the total variation in the dependent variable (y) that can be explained by the independent variable (x) in a linear regression model. In this case, the coefficient of determination is 0.7523, indicating that approximately 75.23% of the variation in the dependent variable (y) can be explained by the independent variable (x) using the given regression equation. This means that the linear relationship between x and y accounts for 75.23% of the variability observed in y. The remaining 24.77% of the variation is attributed to other factors not included in the model. A higher value of r^2 indicates a stronger relationship between the variables.

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In figure find the value of x triangle PQR

Answers

Answer:

x = 35

m<PQR = 70

Step-by-step explanation:

This is an isoceles triangle so the base angles are the same and they all add up to 180 so:

2x + 2x + 40 = 180

4x + 40 = 180

4x = 140

x = 35

m<PQR:

2x

2(35)

70

Solve for X if 8X = 40​

Answers

Step-by-step explanation:

X=40/8

X=5 Answer

hope it helps

Answer:

X= 5

Step-by-step explanation:

NOTE: DIVIDE 8 IN BOTH SIDE

8X/8 = X

40/8 = 5

SO X = 5

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This large cube sculpture at the University of Michigan is made of steel. Even though it is extremely heavy, students can walk by and spin the cube very easily. Each side of the cube measures 15 feet across.

If this cube was a perfect cube and filled with sand, how much sand would be needed to completely fill it?

Answers

We would need 337,500 pounds of sand to completely fill the cube with sides measuring 15 feet across if it were a perfect cube.

The volume of a cube is calculated by taking the length of one side and raising it to the power of 3. In this case, the cube has sides that measure 15 feet each, so the volume can be calculated as:

Volume of cube = (Length of one side)^3 = (15 feet)^3 = 3,375 cubic feet

To fill the cube with sand, we would need to add enough sand to completely fill this volume. The weight of the sand we need can be calculated using its density. The density of sand varies depending on the type of sand, but a common density for dry sand is around 100 pounds per cubic foot.

Therefore, the weight of sand needed to fill the cube would be:

Weight of sand = (Volume of cube) x (Density of sand) = 3,375 cubic feet x 100 pounds per cubic foot = 337,500 pounds

It is worth noting that the real cube sculpture at the University of Michigan is not a perfect cube and is not filled with sand.

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Lighthouse B is 9 miles west of lighthouse a a boat leaves a and sales 6 miles. At this time it is lighted from B. If the bearing of the boat from B is North 64° east how far from be is the boat?

Answers

Answer:

12.61 miles

Step-by-step explanation:

The distance of lighthouse B from lighthouse A, the distance from lighthouse A to the boat and the distance of lighthouse B from the boat all form a triangle. Since lighthouse B is west of lighthouse A, and at a distance of 9 miles form lighthouse A, light house A is at a bearing of North 90° East of lighthouse B. The distance from lighthouse A to the boat is 6 miles, and the bearing of the boat from lighthouse B is North 64° East.

So, the angle between the distance from lighthouse B to the boat and lighthouse B to lighthouse A is 90° - 64° = 26°

Since we have two sides and an angle, we use the sine rule

a/sinA = b/sinB where a = 6, A = 26°, b = 9, B = unknown

So, sinB = bsinA/a

= 9sin26/6

= 3(0.4384)/2

= 1.3151/2

= 0.6576

B = sin⁻¹(0.6576)

= 41.11°

≅ 41.1°

We now find the third angle in the triangle, C(the angle facing the distance from lighthouse B to the boat) from

26° + 41.1° + C = 180° (sum of angles in a triangle)

67.1° + C = 180°

C = 180° - 67.1° = 112.9°

Using the sine rule again to find the third side, c(the distance from lighthouse B to the boat), we have

a/sinA = c/sinC

c = asinC/sinA

= 6sin112.9°/sin26°

= 6(0.9212)/0.4384

= 5.5271/0.4384

= 12.61 miles

3 Jazmin is mailing two packages. One package weighs 3 pounds, and the other package weighs 20 ounces. What is the total weight of both packages? (1 pound = 16 ounces)​

Answers

Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

Jesus loves ya, have a great day!

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John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."

the polynomial x^2+bx+15 has a factor of x-3. what is the value of b ?

Answers

Answer:

b = -8

Step-by-step explanation:

Attachment.....added.

Hope it helps :)

80% of grade 8 students, that is, 60 students want a new ice-cream shop in the
cafeteria. The total number of grade 8 students are?

Answers

Answer:

48

Step-by-step explanation:

60 students X 80%=48

20% is 12 students

40% is 24 students

60% is 36 students

so on and so forth.

Answer:

48.

Step-by-step explanation:

.80 x 60 = 48

A rectangle has a length of 3 units and a width of
y units. Write an expression for the area of this
rectangle.

Answers

Answer:

An expression for this would be 3y as length * breadth is the area of a rectangle.

Compute the following by using ancient Egyptian multiplication: (a) 74 X 64 (b) 129 X 413 (c) 58 X 692 (d) 4968 X 1234

Answers

Using Ancient Egyptian multiplication, the values are obtained as: (a)  74 × 64 = 2724: (b)  129 × 413 = 35405: (c)  58 × 692 = 30456: (d)  4968 × 1234 = 6148172.

Ancient Egyptian multiplication, also known as Egyptian multiplication or the method of multiplication through doubling and halving, is a method used by ancient Egyptians to multiply two numbers.

It involves breaking down one of the numbers into a sum of powers of two and then adding the corresponding multiples of the other number. Here's how you can compute the given multiplications using ancient Egyptian multiplication:

(a) 74 × 64:

We start with the number 1 and keep doubling it until we reach a number greater than or equal to 74. We then create a column for each power of 2 that was used, and write the corresponding multiple of 64 in each column. Finally, we add the numbers in the columns corresponding to the powers of 2 that make up 74.

1  ×  64 =  64

2  ×  64 = 128

4  ×  64 = 256

8  ×  64 = 512

16 ×  64 = 1024

32 ×  64 = 2048

Adding the numbers corresponding to powers of 2 that make up 74:

64 + 0 + 0 + 512 + 0 + 2048 = 2724

Therefore, 74 × 64 = 2724.

(b) 129 × 413:

1  ×  413 =  413

2  ×  413 =  826

4  ×  413 = 1652

8  ×  413 = 3304

16 ×  413 = 6608

32 ×  413 = 13216

64 ×  413 = 26432

Adding the numbers corresponding to powers of 2 that make up 129:

413 + 0 + 1652 + 0 + 6608 + 0 + 26432 = 35405

Therefore, 129 × 413 = 35405.

(c) 58 × 692:

1  ×  692 =  692

2  ×  692 = 1384

4  ×  692 = 2768

8  ×  692 = 5536

16 ×  692 = 11072

32 ×  692 = 22144

Adding the numbers corresponding to powers of 2 that make up 58:

692 + 1384 + 0 + 5536 + 0 + 22144 = 30456

Therefore, 58 × 692 = 30456.

(d) 4968 × 1234:

1   ×  1234 =   1234

2   ×  1234 =   2468

4   ×  1234 =   4936

8   ×  1234 =   9868

16  ×  1234 =  19668

32  ×  1234 =  39468

64  ×  1234 =  78936

128 ×  1234 = 157872

256 ×  1234 = 315744

512 ×  1234 = 631488

1024 × 1234 = 1262976

Adding the numbers corresponding to powers of 2 that make up 4968:

1234 + 2468 + 4936 + 0 + 19668 + 39468 + 78936 + 157872 + 315744 + 0 + 1262976 = 6148172

Therefore, 4968 × 1234 = 6148172.

Using the ancient Egyptian multiplication method, we have computed the products for the given multiplications.

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USA Today reported that the population mean life span of people who live in Hawaii is 77 years. A random sample of 20 obituary notices gave a sample mean life span of x= 71.4 years and a sample standard deviation s = 20.65 years. Assuming that the life span of people in Hawaii is normally distributed, does this indicate that the population mean life span is less than 77 years? Use a 5% level of significance. a.) What is a? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two tailed test?
α = ____
H_0: µ = _____
H_1: µ = _____
The test is a _______ test.

Answers

Yes, there is evidence to suggest that the population mean life span in Hawaii is less than 77 years.

How to find that is there statistical evidence that the mean life span in Hawaii is less than 77 years?

The hypothesis test in question aims to determine if there is sufficient evidence to support the claim that the population mean life span in Hawaii is less than 77 years.

The null hypothesis (H₀) assumes that the mean life span is equal to 77 years, while the alternative hypothesis (H₁) suggests that the mean life span is less than 77 years.

To conduct the hypothesis test, a significance level (α) of 5% is chosen, which corresponds to a 95% confidence level.

Since the question asks whether the population mean is less than 77 years, this is a left-tailed test.

Using the given sample information, the test statistic can be calculated using the formula:

t = (x - µ) / (s / √n), where x is the sample mean (71.4), µ is the population mean (77), s is the sample standard deviation (20.65), and n is the sample size (20).

By plugging in the values, the test statistic is calculated to be t = (71.4 - 77) / (20.65 / √20) ≈ -1.64.

To determine whether the test statistic falls in the critical region, the critical value for a left-tailed test at α = 0.05 is obtained from the t-distribution table or calculator.

With 19 degrees of freedom, the critical value is approximately -1.73.

Since the test statistic (-1.64) is not less than the critical value (-1.73), we fail to reject the null hypothesis.

This means that there is insufficient evidence to conclude that the population mean life span in Hawaii is less than 77 years at a 5% level of significance.

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find the 9th term in 3, -11, -25, -39

Answers

Answer:

-53

Step-by-step explanation:

What divided by 76 equals 127

Easy one please answer ASAP

Answers

Answer is : 9692

cxcvbnm

School administrators in Boston want to assess the efficacy of a new reading program they wish to put in place. Therefore, they randomly assign some schools in the city to institute the new reading program and other schools to remain on the traditional reading program. When performing the analysis to determine whether students using the new reading program perform better, the educators control for socioeconomic status, a variable known to be related to educational outcomes. What kind of analysis have the educators performed

Answers

Answer:

The selection of the schools is done by random sampling, the remaining schools are considered as the control and stratified sampling for the selection of students for analysis is considered

Step-by-step explanation:

Based on the scenario, the following key highlights are presented:

The sampling for selection is carried out randomly.The control group is maintained.The selection of students for analysis is considered with a specific socio-economic status.

This indicates that the selection of the schools is done by random sampling, the remaining schools are considered as the control and stratified sampling for the selection of students for analysis is considered.

Ms. Keating’s class wants to compare the use of social media between the seventh-grade students and eighth-grade students at Valleydale School.The MAD (the average distance between each data value and the mean) for both data sets is approximately 14. What can you infer about the two sets of data?

Answers

Answer:

Need to add picture

Step-by-step explanation:

below there was a daily rental cost for ski equipment at benton mountin ski resort radall rents one set of skis two set of poles and two pairs of boots the sales tax for the rental was 7.69 and he paid with a 100 bill how much chang should randall recive frome the 100 dollar bill

Answers

Answer:

hi

Step-by-step explanation:

A machine press has 51 yards of steel for making 4-inch nails. How many nails can be pressed from the steel?

Answers

459 nails is your answer

51 yards of steel x 3 feet/yard = 153 feet of steel
153 feet x 12 inches/foot = 1836 inches of steel.

1836/4 inches per nail = 459 nails

Shade 3/4 on the grid

Answers

What grid????? There’s no grid
shade 3 spots and leave one open

Margarita was buying soil for her spring garden. What would be the most reasonable amount of soil she would need to buy for a garden?
A. 5 grams
B. 50 liters
C. 50 kilograms
D. 5,000 kilograms

Answers

Answer:

C

Step-by-step explanation:

No soil bag weighs A or B and D is too much unless she has many acres.

Answer  The guy Above  is right

help☝️☝️☝️☝️‍☝️☝️‍☝️‍‍☝️☝️‍☝️☝️

Answers

Answer:

40 + 25 = 65

49 + 63 = 112

63 + 15 = 78

7×16 =112

26 × 3 =78

5×13=65

so the answer is

40 + 25 -------- 5 × 13

49 + 63 -------- 7 × 16

63 + 15 --------- 26 × 3

i hope this help you

HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME

Answers

Answer:

a. ∆ABC ~ ∆A'B'C'

b. Enlargement

c. Scale factor = 4

Step-by-step explanation:

a. <A corresponds to <A'

<B corresponds to <B'

<C corresponds to <C',

Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'

b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.

c. Scale factor = the ratio of the corresponding sides

Thus:

Scale factor = A'B'/AB = B'C'/BC = A'C'/AC

Scale factor = 24/6 = 48/12 = 60/15 = 4

Scale factor = 4

The price of an mp3 player is reduced by 60%. The expression c – 0.6c represents the sale price. Which represents an equivalent expression to determine the sale price?

Answers

Answer:

0.4c

Step-by-step explanation:

Given that :

Price of mp3 is reduced by 60%

Let initial price of mp3 = c

Discount on price = 60% = 0.6

Discounted price = initial price - discount on price

Discounted price = c - 0.6c

Discounted price = 0.4c

What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

A particular type of mouse's weights are normally distributed, with a mean of 409 grams and a standard deviation of 24 grams. If you pick one mouse at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the mouse weighs less than 332 grams? b) What is the probability that the mouse weighs more than 480 grams? c) What is the probability that the mouse weighs between 332 and 480 grams? d) Is it unlikely that a randomly chosen mouse would weigh less than 332 grams? No, the likelihood exceeds 5% Yes, the likelihood is less than 50% Yes, the likelihood is less than 5% No, the likelihood exceeds 50% e) What is the cutoff for the heaviest 6% of this type of mouse? grams (round to the nearest whole gram).

Answers

a) To find the probability that the mouse weighs less than 332 grams is calculated using the z-score formula which is: z= (x-μ)/σ where, x=332μ=409σ=24z= (332−409)/24z=−3.21

Hence, P (x < 332) = P (z < -3.21)

The probability that the mouse weighs less than 332 grams is approximately equal to 0.0007. Therefore, the answer is 0.0007 (rounded to four decimal places).

b) To find the probability that the mouse weighs more than 480 grams is calculated using the z-score formula which is: z= (x-μ)/σwhere,x=480μ=409σ=24z= (480−409)/24z=2.96

Hence, P (x > 480) = P (z > 2.96)

The probability that the mouse weighs more than 480 grams is approximately equal to 0.0015. Therefore, the answer is 0.0015 (rounded to four decimal places).

c) To find the probability that the mouse weighs between 332 and 480 grams is calculated using the z-score formula which is: P (332 < x < 480) = P (-3.21 < z < 2.96)

Hence, the probability that the mouse weighs between 332 and 480 grams is approximately equal to 0.9980. Therefore, the answer is 0.9980 (rounded to four decimal places).

d) The probability of a randomly chosen mouse weighing less than 332 grams is found to be P (x < 332) = 0.0007 which is less than 5%. Therefore, it is unlikely that a randomly chosen mouse would weigh less than 332 grams. Hence, the answer is "Yes, the likelihood is less than 5%".

e) To find the cutoff for the heaviest 6% of this type of mouse can be done by using the Z-table, that gives the z-score for any given probability. For the heaviest 6%, we need to find the z-score corresponding to a probability of 0.94 (100% - 6%). Hence, the Z-score for 0.94 probability is 1.55. Cutoff weight = μ + Z-score * σ= 409 + 1.55 * 24 = 447.2 ≈ 447 (rounded to the nearest whole gram). Therefore, the answer is 447 (rounded to the nearest whole gram).

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In order to build brand loyalty, companies need to first build trust. Questions a) Why does trust relate to business ethics? Which role does trust plays in business ethics? b) What would be the negative impacts on losing trust from stakeholders? c) If you are a Leader, provide few practices to gain trust from others in order to promote ethical behavior in the organizations or workplace. d) Do you think will there be disadvantages of Building Trust at Work? If yes, brief with reasons. 2.3. what is the theory that professor hayes and dr. kim park are working on to predict when an earthquake is about to occur? using amperes law, determine the magnitude of the magnetic field: In fiscal year 2017, Wal-Mart Stores (WMT) had revenue of $500.34 billion, gross profit of $126.95 billion, and net income of $9.86 billion. Costco Wholesale Corporation (COST) had revenue of $129.0 billion, gross profit of $17.14 billion, and net income of $2.68 billion. a. 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Nature of Accounts, Debit and Credit Rules: In columns, enter Debit or Credit to describe the journal entry necessary to increase and decrease the amount shown on the left, and which side of the account represents its normal balance.IncreaseDecreaseNormal BalanceAssetLiabilityCommon StockDividendsRevenueExpense This problem continues problem 2 on Homework 8. Consider the mixture of hydrocarbons illustrated below. Assume that Raoult's law is valid. Component Ethane Propane n-Butane 2-Methyl propane Mole fraction 0.05 0.10 0.40 0.45 A 817.08 1051.38 1267.56 1183.44 B 4.402229 4.517190 4.617679 4.474013 In the above table, the coefficients A and B are for the Antoine equation shown below (with these coefficients, psat is given in bar and T is in K). Note: the form of the Antoine equation given below is slightly different than what is in the textbook (Appendix B). log psat +B T = Consider that the mixture is isothermally flash vaporized at 30 C from a high pressure to 5 bar. Find the amounts and compositions of the vapor and liquid phases that would result. Stock A's beta is 1.7. If the risk free rate is 1.9% and the market risk premium is 5.9%, what is stock A's expected return based on CAPM (only report the percentage with two decimal places. Do not include "%" in your answer )? Answer the following questions based on your observations in the lab only. Explain and justify your answers to each. a. How many types of charge are there? b. Could there be other type of charge? (1) Make a table as described in A7 and A8 illustrating how additional charges might interact with those you found. State whether the current model of Open Electricity Market inSingapore is sustainable, and justify your opinion. In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older individuals. In order to determine whether there has been an increase in the average age of all the employees, a sample of 61 employees was selected. The average age in the sample was 45 years with a standard deviation of 16 years. Let = 0.05. State the null and alternative hypotheses.Select one: a. H_o : = 45 H_a, : > 45 b. H_o : = 40 H_a : > 40 C. H_o : = 40 H_a : d. H_o : 45 . H_a : > 45 b. Based on the result from previous problem the p-value found from t-table ranges from _______ to ________c. should we reject the null hypothesis ? Read the passage from "Names/Nombres" by Julia Alvarez. By the time I was in high school, I was a popular kid, and it showed in my name. Friends called me Jules or Hey Jude, and once a group of troublemaking friends my mother forbade me to hang out with called me Alcatraz. I was Hoo-lee-tah only to Mami and Papi and uncles and aunts who came over to eat sancocho on Sunday afternoons- old world folk whom I would just as soon go back to where they came from and leave me to pursue whatever mischief I wanted to in America. JUDY ALCATRAZ, the name on the "Wanted" poster would read. Who would ever trace her to me? Which main idea is conveyed in this passage? Julia's nicknames help her fit into her new culture. O Julia is determined to hold on to her Dominican identity. O Julia is happier when she is with her family. Julia's Dominican name makes it difficult to fit in. Rudyard Corporation had 260,000 shares of common stock and 26,000 shares of 5%, $100 par convertible preferred stock outstanding during the year Net income for the year was $560,000 and dividends were paid to both common and preferred shareholders. Rudyard's effective tax rate is 25% What is Rudyard's basic EPS? 8 Florida has more natural lakes than any other state in the southeastern UnitedStates. With the exception of some sinkhole lakes, Florida's lakes tend to be veryshallow. The table below gives some information about four Florida lakesSurface area (acres)Average depth (ft)906846,00010467,000114.36413LakeAnnieGeorgeOkeechobeeWashingtonBased on the evidence, which lake is most likely to be a sinkhole lake?A Lake AnnieB Lake OkeechobeeC Lake GeorgeD Lake Washingtonr "Wray (2007) in the survey on money supply concludes that the central banks influence on the quantity of money is indirect and unpredictable, and therefore should be of little interest to economists."a. Discuss this statement. How will you verify the validity of the conclusion?b. Discuss the empirical factors that determine currency in the hands of non-bank public and banks demand for reserves. Let w(z) be a differentiable function wherever it is defined, with w(1) = 8i. Given that Re(w(z)) = 19 ln(x + y), calculate Im(w(1 + i)) correct to at least 3 decimal places.