IMPORTANT QUESTION!!!!! CORRECT = BRAINLIEST!!!!

IMPORTANT QUESTION!!!!! CORRECT = BRAINLIEST!!!!

Answers

Answer 1

Answer: V = 891 feet cubed

Step-by-step explanation:

Answer 2

Answer: R = 12*9 = 108*7.5 = 810ft

T = 12*9*1.5 = 162/2 = 81 ft

810+81 = 891ft^3

Step-by-step explanation:

Give other person brainiest.


Related Questions

Can someone please help me please I really need help please answer it correctly

Answers

Answer:

Princeton Florist

Let the total charge is y, the number of small arrangements is x.

Total charge will be:

y = 13x + 47Chad's Flowers

Total charge will be:

y = 17x + 35

Since the total charge is same in both shops, we have:

13x + 47 = 17x + 35

Solve for x:

17x - 13x = 47 - 354x = 12x = 3

Total cost is:

13*3 + 47 = 39 + 47 = 86

Small arrangements = 3, cost = $86

PLSSS HELP IMMEDIATELY!!!! i’ll mark brainiest if u don’t leave a link!

Answers

Answer:

grab objects

Step-by-step explanation:

barrels and things like that would most likely grab objects so the fish can have room to swim and stuff

The points where a graph crosses the x- and y-axis are called the __

Answers

Answer:

x-intercept

y-intercept

Step-by-step explanation:

Answer:

x-intercept y-intercept

please help due in a few hours!

Answers

Answer:

54 cm²

Step-by-step explanation:

1 cm= 3 m

2 cm= 6 m

3 cm= 9 m

9×6=54

Area of bedroom= 54 cm²

198cm^2 is the correct answer

A game has a 10-sided die. What is the probability of rolling a number less than 3 or an odd number? All answers should be in FRACTION form ONLY.

Answers

The probability of rolling a number less than 3 or an odd number is 3/5 in fraction form.

To compute the probability of rolling a number less than 3 or an odd number, we need to calculate the probability of each event separately and then subtract the probability of their intersection.

The probability of rolling a number less than 3 is 2/10, as there are two numbers (1 and 2) that satisfy this condition out of the ten possible outcomes.

The probability of rolling an odd number is 5/10, as there are five odd numbers (1, 3, 5, 7, and 9) out of the ten possible outcomes.

To compute the probability of their intersection (rolling a number less than 3 and an odd number), we observe that there is only one number (1) that satisfies both conditions.

Therefore, the probability of their intersection is 1/10.

To compute the probability of rolling a number less than 3 or an odd number, we sum the probabilities of each event and subtract the probability of their intersection:

Probability of rolling a number less than 3 or an odd number = (2/10) + (5/10) - (1/10) = 6/10 = 3/5.

Therefore, the probability of rolling a number less than 3 or an odd number is 3/5.

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If Tony wants to add a 22% tip to his $35 charge from the barbershop, how much should he add?

Answers

Answer:

Tony should add $7.70

Step-by-step explanation:

22% = 0.22

0.22 x $35 = $7.70

62.8571% im not quite sure its been a while

Please answer these 3 answers correctly

Answers

Answer: 3. Tan; 4. 4.76; 5. 12

Step-by-step explanation: First question: SOH CAH TOA; if you draw a picture with the given information you know the Opposite and Adjacent sides to the upper left angle, or OA which is also Tan according to Soh Cah Toa. Second question: Use inverse tan(1/12) to solve. Third question: Same idea as the last question but use inverse sin(1/5)

Find the lateral area of this square
based pyramid.
10
ft
10 ft
[ ? jft?

Answers

Answer:

200

Step-by-step explanation:

happy to help

The lateral area of  square based pyramid is 200 square feet

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given square base pyramid has four faces of triangles and one square shape base

The lateral surface area of pyramid formula 4 × (1/2)bl,

b = side length of the base, and

l = slant height

Lateral surface area =2 bl

=2×10×10

=200 square feet

Hence,  the lateral area of  square based pyramid is 200 square feet

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12/5 divided by 21/10

Answers

exact form is 8/7 , as a decimal its 1.142 and mixed number form its 1 1/7

The diameter of a circle is 6 kilometers. What is the area?

d=6 km

Give the exact answer in simplest form.
square kilometers

Answers

Answer:

28.27 rounded orrrr 28.27433388 not rounded.

Step-by-step explanation:

area of circle=πr^2

radius=3 km

3^2=9

9*π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) =1/2 Diameter

=60/2

=30km

Area = π x (30)²

= π x 900

= 2027km²

A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9, 2, 0, 2. The second column of leaves are blank, 4, 1, 3. The third column of leaves are blank, 4, blank, blank. The fourth column of leaves are blank, 6, blank, blank. The fifth column of leaves are blank, 8, blank, blank. The stem and leaf plot shows high temperatures recorded each day at the beginning of the month. Which temperature occurs the most frequently

Answers

Answer:

The temperature with the highest frequency is 54

Step-by-step explanation:

Given

The above data

Required

The temperature with the highest frequency

The first step, is to plot the stem and leaf plot.

[tex]\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}[/tex]

Next, is to identify the leaf with the highest frequency.

The leaf is 4 (with frequency 2)

Next, is to identify the accompanying stem of the leaf

The stem is 5

Hence, the temperature with the highest frequency is 54

Answer:

B

Step-by-step explanation:

edg 2021




1. (1 point) Let x be a real number. Show that a (1 + x)2n > 1+ 2nx for every positive integer n.

Answers

For a real number x, by using mathematical induction it is shown that a[tex](1 + x)^{2n}[/tex] > 1 + 2nx for every positive integer n.

To prove the inequality a[tex](1 + x)^{2n}[/tex] > 1 + 2nx  for every positive integer n, we will use mathematical induction.

The inequality holds true for n = 1, and we will assume it is true for some positive integer k.

We will then show that it holds for k + 1, which will complete the proof.

For n = 1, the inequality becomes a[tex](1 + x)^2[/tex] > 1 + 2x.

This can be expanded as a(1 + 2x + [tex]x^2[/tex]) > 1 + 2x, which simplifies to a + 2ax + a[tex]x^2[/tex] > 1 + 2x.

Now, let's assume the inequality holds true for some positive integer k, i.e., a[tex](1 + x)^{2k}[/tex] > 1 + 2kx.

We need to prove that it holds for k + 1, i.e., a[tex](1 + x)^{2(k+1)}[/tex] > 1 + 2(k+1)x.

Using the assumption, we have a[tex](1 + x)^{2k}[/tex] > 1 + 2kx.

Multiplying both sides by [tex](1 + x)^2[/tex], we get a[tex](1 + x)^{2k+2}[/tex] > (1 + 2kx)[tex](1 + x)^2[/tex].

Expanding the right side, we have a[tex](1 + x)^{2k+2}[/tex] > 1 + 2kx + 2x + 2k[tex]x^2[/tex] + 2[tex]x^2[/tex].

Simplifying further, we get a[tex](1 + x)^{2k+2}[/tex] > 1 + 2(k+1)x + 2k[tex]x^2[/tex] + 2[tex]x^2[/tex].

Since k and x are positive, 2k[tex]x^2[/tex] and 2[tex]x^2[/tex] are positive as well.

Therefore, we can write a[tex](1 + x)^{2k+2}[/tex] > 1 + 2(k+1)x + 2k[tex]x^2[/tex] + 2[tex]x^2[/tex] > 1 + 2(k+1)x.

This proves that if the inequality holds for some positive integer k, it also holds for k + 1.

Since it holds for n = 1, it holds for all positive integers n by mathematical induction.

Therefore, we have shown that a[tex](1 + x)^{2n}[/tex] > 1 + 2nx  for every positive integer n.

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what is the area of 1 1/5 width and 1 1/3 length

Answers

Answer:

1.6 unit^2 (dec. form) or 1 3/5 unit^2 (frac. form)

Step-by-step explanation:

(1 1/5)(1 1/3)

(6/5)(4/3)

1.6 unit^2 (dec. form) or 1 3/5 unit^2 (frac. form)

F(x_1,x_2,x_3) = (y_1,y_2,y_3) Set

(1) x_1/ (x_1 + x_2 + x_3) = y_1

(2) x_2/ (x_1 + x_2 + x_3) = y_2

(3) x_3/ (x_1 + x_2 + x_3) = y_3



1. Prove that F is injective.
2. Without appealing to the Inverse Function Theorem, find the investment directly.
3. Find the domain of F
4. Find the range of F, which is the domain of F^-1.
5. Explain why J_f(x) 6=0 when x € Dom (F)

Answers

1. Proof that F is injective. Suppose that two different elements in the domain of F have the same image; that is, if x and y are elements of the domain of F and F(x)= F(y). We need to show that x=y. Let F(x) = F(y). This means that y1= x1/ (x1 + x2 + x3) = y1, y2= x2/ (x1 + x2 + x3) = y2 and y3= x3/ (x1 + x2 + x3) = y3.Now adding (1), (2), and (3), we have:y1+y2+y3= x1/ (x1 + x2 + x3) + x2/ (x1 + x2 + x3) + x3/ (x1 + x2 + x3)But this is equal to 1, therefore,x1 + x2 + x3= y1 + y2 + y3 = 1, or, equivalently, y1= 1- y2 - y3x1= (1- y2 - y3)(x1 + x2 + x3) = (1-y2 - y3), x2= y2(x1 + x2 + x3) = y2, and x3= y3(x1 + x2 + x3) = y3Thus, we have constructed an element of the domain of F, with different elements of the domain, that have the same image. Therefore, F is injective.

2. Find the investment directly without appealing to the Inverse Function Theorem. F(x1,x2,x3) = (y1,y2,y3)So, x1= (1- y2 - y3), x2= y2, and x3= y3Thus, the inverse of F is F-1(y1,y2,y3)= ((1-y2-y3),y2,y3)3. The domain of F. The domain of F is the set of all three-tuples, F(x1,x2,x3) where 0 ≤ xi ≤ ∞, and where at least one xi is positive. That is, Dom (F)={(x1,x2,x3)|x1≥0, x2≥0, x3≥0 and (x1,x2,x3)≠(0,0,0)}4. The range of F, which is the domain of F-1. The range of F is the set of all three-tuples, F(y1,y2,y3) where 0 ≤ yi ≤ 1, and where at least one yi is positive.

That is, Rng(F)={(y1,y2,y3)|y1≥0, y2≥0, y3≥0 and y1+y2+y3=1}5.  We have J_f(x) = ∣∣ ∂(y1,y2,y3) /∂(x1,x2,x3) ∣∣= ∣∣ ∂y1/∂x1 ∂y1/∂x2 ∂y1/∂x3 ∂y2/∂x1 ∂y2/∂x2 ∂y2/∂x3 ∂y3/∂x1 ∂y3/∂x2 ∂y3/∂x3 ∣∣= ∣∣ (1 / (x1 + x2 + x3) ) - (x1/ (x1 + x2 + x3)2) - (x1/ (x1 + x2 + x3)2) 0 1 / (x1 + x2 + x3) - (x2/ (x1 + x2 + x3)2) 0 0 1 / (x1 + x2 + x3) - (x3/ (x1 + x2 + x3)2) ∣∣= (1 / (x1 + x2 + x3) )((1 - y2 - y3) (1 - y2 - y3 - y3) - y2 (1 - y2 - y3) - y3(1 - y2 - y3)) = (1 / (x1 + x2 + x3) )((1 - y2 - y3 - y2 + 2y2y3 + y2 - y3 - 2y2y3 + y3 - y2y3 - y3 + y2y3)) = 1 / (x1 + x2 + x3) which is non-zero in the domain of F. Therefore, J_f(x) ≠ 0 when x ∈ Dom (F).

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PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

Step-by-step explanation:

just need to find half of the circumference

Let C41 be the graph with vertices {0, 1,..., 40} and edges (0-1), (1-2),..., (3910), (100), and let K41 be the complete graph on the same set of 41 vertices. You may answer the following questions with formulas involving exponents, binomial coefficients, and factorials. (a) How many edges are there in K41? (b) How many isomorphisms are there from K41 to K41? (c) How many isomorphisms are there from C41 to C41? (d) What is the chromatic number (K41)? (e) What is the chromatic number (C41)? (f) How many edges are there in a spanning tree of K41? (g) A graph is created by adding a single edge between nonadjacent vertices of a tree with 41 vertices. What is the largest number of cycles the graph might have? (h) What is the smallest number of leaves possible in a spanning tree of K41? i) What is the largest number of leaves possible in a in a spanning tree of K41? G) How many spanning trees does C41 have?

Answers

(a) The complete graph K41 has 820 edges. This can be calculated using the formula for the number of edges in a complete graph, which is given by the expression (n(n-1))/2, where n is the number of vertices. Substituting n = 41, we get (41(41-1))/2 = 820.

(b) The number of isomorphisms from K41 to itself is equal to the number of permutations of the vertices. This can be calculated as 41!, which represents the number of ways to arrange the vertices of K41.

(c) The graph C41 is not isomorphic to itself because it has a specific edge pattern. Thus, there are no isomorphisms from C41 to itself.

(d) The chromatic number of K41 is equal to its number of vertices, which is 41. This is because each vertex can be assigned a unique color, and no two adjacent vertices share the same color in a complete graph.

(e) The chromatic number of C41 is 2. This is because C41 contains a Hamiltonian cycle, which is a cycle that visits each vertex exactly once. A Hamiltonian cycle can be colored with only two colors, where adjacent vertices are assigned different colors.

(f) A spanning tree of K41 is a connected acyclic subgraph that includes all the vertices of K41. The number of edges in a spanning tree of K41 is equal to the number of vertices minus 1, which is 41 - 1 = 40.

(g) If a single edge is added between nonadjacent vertices of a tree with 41 vertices, the largest number of cycles the graph might have is 41. This can occur when the new edge connects two vertices that are at maximum distance from each other in the original tree, resulting in a new cycle.

(h) The smallest number of leaves possible in a spanning tree of K41 is 1. This can be achieved by removing all but one edge from K41, resulting in a single leaf node.

(i) The largest number of leaves possible in a spanning tree of K41 is 40. This can be achieved by removing all but one vertex from K41, resulting in a single vertex connected to 40 leaf nodes.

(g) The number of spanning trees that C41 has can be calculated using Cayley's formula, which states that a complete graph with n vertices has nn-2 spanning trees. Substituting n = 41, we get 4141-2 = 240 spanning trees for C41.

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Please answer correctly!

Answers

Answer:

B. 1296 m^3

Step-by-step explanation:

To find the volume of a square pyramid, multiply the base by itself twice, then divide the height by 3. After getting both answers, multiply the answers.

In this case, the base is 18.

The height is 12.

First, we must multiply the base by itself twice.

18⋅18 = 324.

Next, divide the height by 3.

12/3 = 4.

Now that we have both answers, we multiply them.

324 ⋅ 4 = 1,296.

Therefore, 1,296 cm^3 is the volume of the square pyramid.

What should you do first when you simplify the expression below? (5+4)x3

Answers

Answer:

5 + 4 snice it's inside the circle and when you get your answer you times it with 3

Step-by-step explanation:

( 5 + 4 ) x 3

  9 x 3

27

(5+4) x 3 = 27

Please help no links

Answers

Answer: Big rectangle shades 1/4+1/2

Step-by-step explanation:

So have a Big

$297.89 with a 9.5% tax​

Answers

The exact answer is 326.18955. So about $316.19

The important difference to note for the scales of measurement and how they are analyzed is whether they involve Oratios, intervals categories, ration O numbers, categories O numbers, intervals as responses on the scale.

Answers

The important difference to note for the scales of measurement and how they are analyzed is whether they involve ratios, intervals, categories or numbers. The scales of measurement can be divided into four types: nominal, ordinal, interval, and ratio.

Nominal scales use categories or numbers to group data, but these categories or numbers have no inherent order or value. Examples of nominal scales include gender, race, or eye color. Ordinal scales use categories or numbers to group data, but these categories or numbers have a specific order or rank. Examples of ordinal scales include educational attainment, income, or level of agreement on a survey question.

Interval scales use numbers as responses on the scale, but the distance between the numbers is not meaningful. Examples of interval scales include temperature measured in Celsius or Fahrenheit, or IQ scores. Ratio scales use numbers as responses on the scale, but the distance between the numbers is meaningful and there is a true zero point. Examples of ratio scales include height, weight, or income.

In summary, the important difference to note for the scales of measurement and how they are analyzed is whether they involve categories or numbers, and whether the numbers have a specific order or rank, a meaningful distance between them, or a true zero point.

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X and Y are two continuous random variables whose joint pdf f(x, y) = kr² over the region 0≤x≤1 and 0 ≤ y ≤ 1, and zero elsewhere. Calculate the covariance Cov(X,Y).

Answers

The covariance Cov(X, Y) can be calculated for the given joint probability density function (pdf) f(x, y) = kr² over the region 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1.

To calculate the covariance Cov(X, Y), we need to determine the joint probability density function (pdf) of X and Y and apply the formula for covariance.

First, we need to find the constant k by integrating the joint pdf over its entire range to ensure it integrates to 1 (since it represents a probability density function).

The integral of f(x, y) over the region 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 is given by:

∫∫ f(x, y) dy dx = ∫∫ kr² dy dx.

Integrating with respect to y first, we get:

∫[0,1] ∫[0,1] kr² dy dx = k∫[0,1] r² [y=0 to y=1] dx

= k∫[0,1] r² dx

= k[r²x] [x=0 to x=1]

= k(r² - 0)

= kr².

Since the integral of the joint pdf over its entire range equals 1, we have kr² = 1, which implies k = 1/r².

Now, we can calculate the covariance Cov(X, Y) using the formula:

Cov(X, Y) = E[XY] - E[X]E[Y],

where E denotes the expected value.

Since X and Y are continuous random variables with a uniform distribution over the range [0,1], we have E[X] = E[Y] = 1/2.

To calculate E[XY], we integrate the product XY over the range [0,1] for both x and y:

E[XY] = ∫∫ xy f(x, y) dy dx

= ∫∫ xy kr² dy dx

= k∫∫ xyr² dy dx

= k∫[0,1] ∫[0,1] xyr² dy dx.

Integrating with respect to y first, we get:

E[XY] = k∫[0,1] ∫[0,1] xyr² dy dx

= k∫[0,1] [(1/2)xr² [y=0 to y=1]] dx

= k∫[0,1] (1/2)xr² dx

= (k/2)∫[0,1] xr² dx

= (k/2)[(1/3)x³r² [x=0 to x=1]]

= (k/2)(1/3)r²

= (1/2)(1/3)r²

= 1/6r².

Finally, we can calculate the covariance:

Cov(X,Y) = E[XY] - E[X]E[Y]

= 1/6r² - (1/2)(1/2)

= 1/6r² - 1/4.

Therefore, the covariance Cov(X, Y) for the given joint pdf f(x, y) = kr² over the region 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 is 1/6r² - 1/4.

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Select all the properties of a right triangle.


A. Has a Right Angle
B. Has 1 Obtuse Angle
C. Has Parallel Lines
D. Has Perpendicular Lines
E. Has 3 Acute Angles

If u are an Expert PLzzz Answer Thisss!

Answers

Answer:

Sorry sis don't know the meaning

8^15÷8^−3 it needs to like this 43^5 I can't find out the answer

Answers

Answer:

Hello!

The answer is 8^18.

Step-by-step explanation:

Answer:

8^12

Step-by-step explanation:

Exponents are confusing at first. You subtract them when dividing, and add them when multiplying, if the base number is the same.

Picture 8 to the 15th as a numerator of:

8x8x8x8x8x8x8x8x8x8x8x8x8x8x8 over a denominator of

8x8x8

To solve that, you'd cancel out 3 of the top 8s and the three bottom 8s, marked in bold to be easier to see. This leaves you with

8^12

Does that help?

Happy to answer questions.

I need help with this please help me. ​

Answers

Answer:

a) $93, $117.80, $86.80, $68.20

b) $365.80

Step-by-step explanation:

a)

Add 12 hours to each p.m. time to make the subtraction of hours easier.

Also, use decimal numbers to do the subtraction. Remember that 0:30 means 30 minutes which is 0.5 hour, so 7:30 is the same as 7.5 as a decimal.

Monday: 8:00 to 15:30

15:30 - 8:00 = 1.5 - 8 = 7.5 hours

7.5 hours * $12.40/h = $93

Wednesday: 7:30 to 17:00

17:00 - 7:30 = 17 - 7.5 = 9.5 hours

9.5 hours * $12.40/h = $117.80

Friday: 9:00 to 16:00

16:00 - 9:00 = 16 - 9 = 7 hours

7 hours * $12.40/h = $86.80

Saturday: 10:30 to 16:00

16:00 - 10:30 = 16 - 10.5 = 5.5 hours

5.5 hours * $12.40/h = $68.20

b) Add all the daily amounts above.

$93 + $117.80 + $86.80 + $68.20 = $365.80

question in screenshot

Answers

Answer:

10

Step-by-step explanation:

use pythagorean theorm

√(8^2+6^2) = 10

.222222222 as a fraction Please help

Answers

Answer:

222222222/1000000000

Step-by-step explanation:

I ask for your help fellow strugglers

Answers

Answer: C is false

Step-by-step explanation: If B is correct and C is saying otherwise that must mean it's the only false choice :) brainliest would be appreciated :)

Having an error of 0.01, a confidence level of 95% with a value p = 0.37 Determine: a) Z-value b) Sample size

Answers

a) The Z-value corresponding to a confidence level of 95% can be determined as 1.96.

b) To determine the required sample size, we need additional information such as the population size or an estimated proportion. Without this information, we cannot calculate the sample size.

a) The Z-value represents the number of standard deviations a data point is from the mean in a standard normal distribution. For a confidence level of 95%, which corresponds to a 5% significance level, the critical Z-value is approximately 1.96. This value can be obtained from a Z-table or using statistical software.

b) To calculate the required sample size, additional information is needed, such as the population size or an estimated proportion. The sample size formula takes into account factors such as the desired margin of error, confidence level, and variability. Without these details, it is not possible to determine the sample size accurately.

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What is 0.0003246 expressed in scientific notation?
A.
32.46
×
10

5
B.
3.246
×
10

4
C.
3.246
×
10
4
D.
32.46
×
10
5

Answers

Answer:

B

Step-by-step explanation:

the notation answer would also be 3.246 × 10-4 i believe :)

Other Questions
Select a specific institution. Identify this institution and utilizing its published MCR analyze costs and revenue of at least 3 specific departments. Then, evaluate implications of this volume to the facilitys future income stream. Question 3 Question 3a Assume you are the Minister of Finance and Economic Planning for Ghana, in charge of Fiscal Policy. The Research Director of the Ministry brought you the following data on Ghana for the previous fiscal year, 2021. An examination of the data reveals that, during the fiscal year 2021, households in Ghana saved 20% of their disposable income (Y) and spent the rest on consumption. In addition, GH5,000.00 was spent on Consumption expenditure (C), which is independent of income and Gross Private Investment (I) was GH7,000.00. Total Government expenditure (G) which stood at GHe8,000.00 was supposed to be financed by a lump sum tax of GH2,000.00 (independent of income) and a proportional tax rate of 25% of national income. Exports (X) stood at GH 2,500.00. In addition, the country's import (M) during the previous fiscal year comprises of GH1,000.00 which was independent of the country's national income and 10% which was dependent of the country's national income. Given these data on Ghana for the previous year: i. Compute the equilibrium level of income (Y), Consumption (C), Tax (T) and Savings (S). (Hint: C = a + byd; T = To+tY and M = M + mY) Determine the Government fiscal stance. (10 marks) (1 mark) iii. If the full employment level of national income is GH40,000.00, determine the income gap. iv. What fiscal policy would be appropriate to address this gap? (1 mark) (1 mark) V. If there is an increase in export to GH4,000.00, find the new level of equilibrium income. (2 marks) vi. Show how a GH 2,000 increase in government spending financed by a GH$2,000 increase in taxes will affect the level of national income. (2 marks) Question 3b Gross Domestic Product (GDP) is not a good measure of welfare in an economy. Discuss. (3 marks) A supermarket CEO claims that 26% of customers that enter the store purchase milk or bread. A survey of 320 customer showed that 67 customers purchased bread or milk on their trip to the store. Assuming the CEO's claim is correct, determine (to 4 decimal places):1. the standard error for the sampling distribution of the proportion.2. the probability that the sample proportion is no more than that found in the survey. Have China, India, Japan, South Korea and Singapore experiencedthe catch-up effect (also known as convergence theory)? Explaindifferences with Australia and the USA. Discount loan (interest and principal at maturity). Chuck Ponzi has talked an elderly woman into loaning him $10,000 for a new business venture. She has, however, successfully passed a finance class and requires Chuck to sign a binding contract on repayment of the $10,000 with an annual interest rate of 11% over the next 15 years. Determine the cash flow to the woman under a discount loan, in which Ponzi will have a lump-sum payment at the end of the contract. What is the amount of payment that the woman will receive at the end of years 1 through 14? A company produces packets of soap powder labeled "Giant Size 32 Ounces. The actual weight of soap powder in such a box has a Normal distribution, with a mean of 33 or and a standard deviation of 0.3 or. To ad having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 or. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight. How heavy does a bes have to be for it to be labeled overweight? 33.82 or 634,15 or 34.6202 31.80 o QUESTION 7 Some researchers have noted that adolescents who spend a lot of time playing video or computer games are at greater risk for depression and violence. This is an example of a a single-blind experiment, because the subjects knew they were playing games ha valid conclusion, because more time yields more aggression is a positive association c. a paired data experiment, because we are studying both aggression and game playing dan observational study with larking variables that may explain the association. QUESTIONS A company produces packets of soap poeder held"Chante 12 mes. The actual weight of top powder in a box una distribution of 33 oranda de roso having dised customers, the company box fit considered underwright if it weh less 1902. To avoiding help the best way does best be for is to be weled overweight XXX b.34.15 34.620 0.31.80 OR QUESTION 4 The time needed for college students to complete a certainpaper and pencil maze follows a Normal distribution, with a mean of 80 seconds and a standard deviation of 6 seconds. You wish to see if the mean time je is changed by meditation, so you have a group of 8 college students meditate for 30 minutes and then complete the mare. It takes them an average of 1-74 seconds to complete the mare. Use this information to test the hypotheses Hg: -80, Ha80 at significance level a-0.02. You conclude that a. Ha should be accepted. bHo should be rejected. Hy should not be rejected. d. this is a borderline case and so decision should be made. 11 12 15 16 17 22 24 29 33 38 what is the median An account linked with another account that has an opposite normal balance and that is subtracted from the balance of the related account is a(n):A) Accrued account.B) Contra account.C) Temporary Account.D) Clearing account.E) Permanent Account. Explain the Decision-making method (High and low Methods) withexamples. Find the non-parametric equation of the plane with normal (5,6,6)-5,6,6 which passes through point (5,6,0)5,-6,0.Write your answer in the form Ax+By+Cz+d=0Ax+By+Cz+d=0 using lower case x,y,zx,y,z and * for multiplication. Please Do Not rescale (simplify) the equation. Let X1, X2, ..., Xm be a random sample from a population with mean mu1 and variance of sigma1^2=, and let Y1, Y2, ... , Yn be a random sample from a population with mean mu2 and variance sigma2^2, and that X and Y samples are independent of one another. Which of the following statements are true? Xbar is normally distributed with expected value mu1 and variance sigma1^2/m Ybar is normally distributed with expected value mu2 and variance sigma2^2/m Xbar-Ybar is normally distributed with expected value mul-mu2 and variance (sigma1^2/m+sigma2^2/n). Xbar-Ybar is an unbiased estimator of mul-mu2. All of the above statements are true. Touch may communicate many different meanings includinga.all of the above. b.control. c.positive emotionsd.playfulness. Explain the full story of Garland, including up to Amy Coney Barrett. Did Trump and Mitch McConnell as in accordance with the constitution? As CRO of Lakeside Bank, a bank that has 15 million of fixed-rate assets, 30 million of rate-sensitive assets, 25 million of fixed-rate liabilities, and 20 million of rate-sensitive liabilities. Conduct a gap analysis for Lakeside Bank and show what will happen to bank profits if interest rates rise by 4 percentage points. Answer all parts (a) to (e) of this question. If a firm produces quantities q1 and q2 of two goods, its total cost is: C = q1 + q 2 1 + q 2 2 q1q2. The goods are sold in competitive markets at prices p1 > 1 and p2.(a) [10 marks] Write down an expression for the profit of the firm. Obtain and provide an economic interpretation for the first-order profit-maximising conditions.(b) [10 marks] Using the Cramers rule, find the quantities q1 and q2 that satisfy the first order conditions.(c) [10 marks] Find the second-order conditions for profit maximisation. For what values of are the second-order conditions satisfied?(d) [10 marks] Assume the second-order condition is satisfied. Use calculus to determine the way in which the supply of good 2 varies with a rise in p1. Explain why it depends on the sign of .(e) [10 marks] Assume the second-order condition is satisfied. If p1 = 0.5 and p2 = 1, under which condition about will good 1 be supplied by the firm? Explain the economic intuition behind the results. Cullumber Corporation issued 368 shares of $10 par value ordinary shares and 123 shares of $50 par value preference shares for a lump sum of $16,587. The ordinary shares have a market price of $20 per share, and the preference shares have a market price of $90 per share. Prepare the journal entry to record the issuance. Consider the set S = {(o,p,q,r): op-qr =0 }Provide a counterexample to show that this set is not a subspace of R4 If the alternate hypothesis is justifiably directional (rather than non-directional), what should the researcher do when conducting a t test? O a one-tailed test O a two-tailed test O set the power to equal B O set to be less than the significance level a 0.20 m solution contains 6.4 g of so2. what is the volume of the solution? report your answer with two significant figures. Fulton is employed at an annual salary of S22,532 paid semi monthly. The regular workwerk in 36 hours (a) What is the regular salary per pay period? (b) What is the hourly rate of pay? c) What is the gross pay for a pay period in which the employee worked 9 hours overtime at time and one half regular pay?