The sixth grade art students are making a mosaic using tiles in the shape of triangles.Each tile Hans leg measures of 7cm and 4cm. If there are 84 tiles in the mosaic,what I sent the area of the mosaic

Answers

Answer 1

Answer:

1,176 square centimeters

Step-by-step explanation:

The computation of the area of the mosaic is  shown below:

As we know that

The Area of the triangle is

= 1 ÷ 2 × base × height

= 1 ÷ 2 × 7 × 4

= 14

Now 1 tile would be 14 square centimeters

And, there are 84 tiles in the mosaic

So, the total area is

= 84 × 14

= 1,176 square centimeters


Related Questions

A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. To test this claim, 50 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 56.7 kilograms with a standard deviation of 6.28 kilograms, while type B thread had an average tensile strength of 77.8 kilgorams with a standard deviation fo 5.61 kilograms. How large should the sampes be if the power of the test is to be .95 when the true difference between thread types A and B is 8 kilograms.

Answers

Answer : The required sample size is approximately 26 for each type of thread so that the power of the test is 0.95 when the true difference between thread types A and B is 8 kilograms.

Explanation :

Let's assume µ₁ to be the average tensile strength of thread A and µ₂ to be the average tensile strength of thread B. To test the claim that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. That is,µ₁ - µ₂ ≥ 12                                                                                                                                               The null hypothesis H₀ is: µ₁ - µ₂ ≤ 12 and, the alternative hypothesis H₁ is: µ₁ - µ₂ > 12. The sample sizes for the two types of thread are n₁ = n₂ = 50. Given that thread A has an average tensile strength of 56.7 kilograms with a standard deviation of 6.28 kilograms, while thread B has an average tensile strength of 77.8 kilograms with a standard deviation of 5.61 kilograms.                                                                                                                                                                         To determine the sample size required to achieve a power of 0.95 when the true difference between thread types A and B is 8 kilograms, we use the formula for the power of the test as follows:                                                               Power = P (Z > z₁-α - (zβ/√n))P (Z > z₁-α - (zβ/√n)) = 0.95.                                                                                                                      When the true difference between thread types A and B is 8 kilograms, that is,µ₁ - µ₂ = 8.                                                            The population variance of the two groups areσ₁² = 6.28² = 39.54σ₂² = 5.61² = 31.63                                                                      The pooled variance is given by:S² = [(n₁ - 1)S₁² + (n₂ - 1)S₂²] / (n₁ + n₂ - 2) = [(49)(39.54) + (49)(31.63)] / (50 + 50 - 2) = 70.585 n = (z₁-α + zβ)² * S² / δ²  Where z₁-α = critical value at α level of significance = 1.65 for a one-tailed test at α = 0.05.zβ = critical value at β level of significance = 1.65 + 0.84 = 2.49 for 0.95 power of the test.δ = µ₁ - µ₂ = 8  Substituting the values, we get n = (1.65 + 2.49)² * 70.585 / 8²≈ 25.8

Hence, the required sample size is approximately 26 for each type of thread so that the power of the test is 0.95 when the true difference between thread types A and B is 8 kilograms.

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Plz help me out again thanks!!

Answers

Answer:

303.2 cubic inches

Step-by-step explanation:

20.6in × 3.8in ×2.9in + 3.7in × 7.1in × 2.9in

= answer

Answer: 303.2
Step by step
1) use L•W•H to find the first half of the prism
2) 20.6 • 3.8 • 2.9 = 227.012
3) 7.1 • 3.7 • 2.9 = 76.183
4) 227.012 + 76.183 = 303.19500
5) round to the nearest tenths
6) 303.2

Somebody please help me out. How do I find the surface area of a rectangular prism?

Answers

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

Option (C) 198 cm² will be the answer.

Step-by-step explanation:

Surface area of rectangular prism=2(lb+bh+lh)

where l=length, b=breadth and h=height.

Here, the length is 9cm, breadth is 6cm and height is 3cm.

By applying the formula,

2{(9*6)+(6*3)+(9*3)}

2{54+18+27}

2*99

198cm²

What is the surface area of the cylinder with height 5 mi and radius 2 mi? Round your
answer to the nearest thousandth.

Answers

Answer:

62.8319 mi²

Step-by-step explanation:

The volume formula here is V = (area of base)(height),

If we fill in the given measurements, we get:

V = π(2 mi)²(5 mi) = 62.8319 mi²

Question 2 (1 point)
Which graph shows the solutions to 2x<6?

Answers

Answer: C
^ because the plot starts on 2, unlike all other choices & it passes 6.
c ik this i just did it thgghhhjjjhj

2
A = 4.86 yd
b=
h= 1.8 yd

Answers

b= 2.7 yd

The answer is: 2.7yd

Find the area of the trapezoid

Answers

Answer:

42 square units

Step-by-step explanation:

Each square on the grid is 2 units by 2 units.

Bases: OC = 10; SK = 4

Height: OS = 6

area = (b1 + b2)h/2

area = (10 + 4)(6)/2

area = 42

Answer: 42 square units

Answer:

The area of trapezoid is 42 square unit.

Step-by-step explanation:

According to the question

A trapezoid which is consist of many square shapes and each grid square equals 2 units . We need to find the area of trapezoid.

To calculate the area of trapezoid we have given :-

Base ; SK = 4 and OC = 10Height ; OS = 6Formula for finding area of trapezoid is ½ × (Base 1 + Base 2) × Height .

Finding the area of trapezoid :-

Area of trapezoid = ½ × ( 4 + 10 ) × 6

Add 4 and 10.

Area of trapezoid = ½ × 14 × 6

Multiply 14 by 10.

Area of trapezoid = ½ × 84

Divide by 2.

Area of trapezoid = 42

Hence,

The area of trapezoid is 42 square unit.

i need help on these 2 questions

Answers

The answer is A. 5x+25 and 11x-11. I already did the test

A group of researchers at UCLA are selecting existing multiple-item scales to measure depression. They found that in a previous study, "Depression Index of Diagnosis" had a Cronbach’s alpha of 0.93, "Adolescent’s Depression Scale" had a Cronbach’s alpha of 0.69. They decided to use "Depression Index of Diagnosis" because it has a higher _____ than the other and only when it is _________ it can be _________. Which is the answer A, B, C or D?
A. Reliability; valid; reliable

B. Validity; valid; reliable

C. Reliability; reliable; valid

D. Validity; reliable; valid

Answers

We can see here that option A. Reliability; valid; reliable completes the sentence.

Who is a researcher?

A researcher is an individual who engages in the systematic investigation and study of a particular subject or topic to expand knowledge, gain insights, and contribute to the existing body of information in that field. Researchers can be found in various disciplines, such as science, social sciences, humanities, technology, and more.

Thus, it will be:

They decided to use "Depression Index of Diagnosis" because it has a higher reliability than the other and only when it is valid it can be reliable.

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HELP PLEASE!! WILL CROWN BRAINLIEST.....
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.

Answers

Answer:  i am not sure but thanks for the points have a good day

Step-by-step explanation:


The Lawrence family went out to dinner. The
total amount of dinner was $53.89, and they
decided to add an 18% tip. How much did the
waitress receive for a tip from the Lawrence
family?

Answers

Answer: 9.70$

Step-by-step explanation: The equation is 53.89 * 0.18 = 9.7002 but, If you round to the nearest hundred it is 9.70$. Hope this helped!!!

The amount of tip waitress get from the Lawrence family is $63.5902.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The total amount of dinner was $53.89.

Tip= 18%

So, the tip amount will be

= 53.89 x 18/100

= 53.89 x 0.18

= 9.7002

And, the total amount to pay

= 53.89+ 9.7002

= $63.5902

Hence, the amount of tip waitress get is $63.5902.

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which answer choice correctly shows 0.3% as a decimal?
a.300
b.3
0c.0.03
d.0.003

Answers

d.0.003 choice correctly shows 0.3% as a decimal.

Here, we have,

given that,

the percent is: 0.3%

now, we know that,

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.

now, we get,

0.3%

=0.3 ÷ 100

=0.003

now, we know, 0.003 is a decimal.

so, we get,

d.0.003 choice correctly shows 0.3% as a decimal.

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Seventh grade
> CC.5 Calculate mean absolute deviation YNM
In the data set below, what is the mean absolute deviation?
3
3
2
9
8
8
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation

Answers

Answer:2.8333

Step-by-step explanation:

What amount paid on September 19 is equivalent to $1,900 paid on the following December 1 if money can earn 5.9%? (Use 365 days a year. Do not round intermediate calculations and round your final answer to 2 decimal places.)

Answers

The amount paid on September 19 that is equivalent to $1,900 paid on December 1, with an interest rate of 5.9% compounded daily, is approximately $1,930.53.

How to calculate equivalent payment amount?

To determine the amount paid on September 19 that is equivalent to $1,900 paid on December 1, we can use the concept of compound interest.

The formula to calculate compound interest is:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal amount (initial payment)

r = annual interest rate (in decimal form)

n = number of times interest is compounded per year

t = time in years

In this case, we need to find the equivalent amount on September 19. The time between September 19 and December 1 is approximately 74 days.

Using the formula, we can calculate the equivalent amount as follows:

A = 1900(1 + 0.059/365)^(365/74)

Calculating this expression will give us the equivalent amount on September 19. Let me calculate that for you.

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The volume ſin cubic feet) of a black cherry tree can be modeled by the equation ý = -51.7+03x_1 + 4.8x_2, where X_1, is the tree's height (in feet) and X_2, is the tree's dameter (in inches). Use the multiple regression equation to predict the y values for the values of the independent variables
(a) x_1 = 72, X_2 = 8.9
(b) x_1 = 65, x_2 = 10.6
(c) x_1 =81, x_2=16.4
(d) x_1 = 88, X_2 = 19.4

Answers

By using the multiple regression equation, the predicted y-values for the values of the given independent variables include the following:

(a) ý = 207.02.

(b) ý = 194.18.

(c) ý = 270.02.

(d) ý = 305.42.

What is a regression line?

In Statistics and Mathematics, a regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.

Next, we would determine the predicted y-values for the values of the given independent variables as follows;

ý = -51.7+03x₁ + 4.8x₂

(a) x₁ = 72 and x₂ = 8.9

ý = -51.7+03(72) + 4.8(8.9)

ý = 207.02.

(b) x₁ = 65 and x₂ = 10.6

ý = -51.7+03(65) + 4.8(8.9)

ý = 194.18.

(c) x₁ = 81 and x₂ = 16.4

ý = -51.7+03(81) + 4.8(16.4)

ý = 270.02.

(d) x₁ = 88 and x₂ = 19.4

ý = -51.7+03(88) + 4.8(19.4)

ý = 305.42.

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A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5. P(XS 43.75) is:

Answers

A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5. P(XS 43.75) is  0.9332

Given: A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5.

We have to find P(X<43.75).

We have to find the probability of getting a random variable below 43.75 using the normal distribution formula.

Z = (X - μ) / σ

Z = (43.75 - 40) / 2.5

Z = 1.5

The probability of a random variable being less than 43.75 is the same as the probability of a standard normal random variable being less than 1.5.

P(Z < 1.5) = 0.9332 (using the standard normal distribution table)

Thus, the P(X < 43.75) is approximately 0.9332 (to four decimal places).

Hence, the required probability is 0.9332.

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A trinomial with a leading coefficient of 333 and a constant term of -5−5 what is an equation

Answers

Given:

Leading coefficient of a trinomial = 3

Constant term = [tex]-5[/tex]

To find:

The equation of trinomial.

Solution:

If an expression contains three terms, then it is known as trinomial.

The general form of a trinomial which contains leading term and a constant is:

[tex]ax^2+bx+c[/tex]

Where, a,b,c are real non-zero numbers. Here, a is the leading coefficient and c is the constant.

Putting a=3 and c=-5, we get

[tex]3x^2+bx+(-5)[/tex]

[tex]3x^2+bx-5[/tex]

Therefore, the required trinomial is  [tex]3x^2+bx-5[/tex], where b is a non zero real number.

Prehistoric cave paintings were discovered in a cave in France. the paint contain 25% of the original Carbon-14. Use the exponential decay model for carbon-14, A=A0e^-0.000121t to estimate the age of the paintings

Answers

Answer:

The age of paintings is - 26,601 years .

Step-by-step explanation:

Lets calculate-

A= [tex]0.25 A[/tex]o

Therefore ,

[tex]A= A[/tex]o [tex]e^-^0^.^0^0^0^1^2^1^t[/tex]

[tex]ln0.25=-0.000121t[/tex]

[tex]-3.2188=-0.000121t[/tex]

[tex]t=\frac{-3.2188}{-0.000121}[/tex]

  t= 26,601.65

Therefore , the age of paintings is 26,601 years old.

HELP!!! 100 POINTS!!! Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. Leave your answer in terms of π.

140π cm2
91π cm2
60π cm2
51π cm2

Answers

Answer:

60π cm2

Step-by-step explanation:

A genetic experiment involving peas yielded one sample offspring consisting of 412 green peas and 125 yellow peas. Use a 0.05 significance level to test the most under the same circumstances, 20% of offspring peas will be yellow. Identify the hypothesis, alternative hypothesis et statistics, P-value, conclusion about the null hypothesis and final conclusion that adds the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
What are the null and alternative hypotheses?
A H_o: p≠0.26 H_1:p=0.26
B H_o: p≠0.26 H_1:p>0.26
C H_o: p=0.20 H_1:p<0.26
D H_o: p=0.26 H_1:p>0.26
E H_o: p=0.26 H_1:p≠0.26
F H_o: p≠0.20 H_1:p<0.26
What is the test statistic?
z = _______
(Round local places as needed)
What is the P-value?
P-value = _________

Answers

1) the null and alterative hypotheses are  - H_o: p=0.20 H_1:p<0.26 (option C)

2)

The test statistic is -2.17.The p -value   is 0.0306.

What is the explanation for these?


1) The null hypothesis is that the population proportion of yellow peas is equal to 20%. The alternative hypothesis is that the population proportion of yellow peas is less than 20%.

hence,  H_o: p=0.20 H_1:p<0.26

2) The test statistic is calculated as follows  -

z = (pa   - p₀) / √(p₀(1-p₀)/ n)

Where  -

pa is the sample proportion of yellow peas (0.25)

p₀ is the hypothesized proportion of yellow peas (0.20)

n is the sample size (537)

The test statistic is -2.17

p- value =P(Z < -2.17)

The p -value is   0.0306.

Since the p-value is less than the significance level of 0.05,we reject the null hypothesis and    conclude that there is sufficient evidence to suggest that the population proportion of yellow peas is less than 20%.

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no links, will give brainliest

Answers

The area of a parallelogram is base x height, or A = bh.

a) A = 6 x 10, so A = 60 cm²

b) A = 15 x 8, so A = 120 cm²

Lines need to be painted on the field at a football stadium. The painter estimated that one can of paint would last 11 yards. How many cans of paint will be needed to paint the length of the 100-yard field?



I've been stuck on this question for two days :,) the answers are A.8 B.10 C.12 D.14





Can someone please tell me the answer?

Answers

Answer:  

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

Pls help me I’m failing :(

Answers

No solution answers:
x + 4 = x + 2
5 = 4
4x = 5x

Infinite solutions:
5 = 5
2(3x + 2) = 6x + 4
7x = 7x

Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1

Answers

Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

Which of the following is NOT true about logistic regression?
a. The predictor variables can be either continuous or categorical, or a combination of the two.
b. Logistic regression can be used for classification tasks.
c. Logistic regression assumes a symmetric probability distribution of Y
d. Certain coefficients can result in a negative output from the logistic regression equation

Answers

The statement which is not true about logistic regression is that logistic regression assumes a symmetric probability distribution of Y. Option C is the correct answer.

Logistic regression assumes a binary or binomial distribution for the response variable Y, representing two possible outcomes (e.g., 0 or 1). It models the relationship between predictor variables and the probability of a specific outcome using a logistic function. Logistic regression can handle predictor variables that are continuous, categorical, or a combination of both.

It is commonly used for classification tasks, where the goal is to predict the probability or class membership of an observation. The coefficients in logistic regression can have any value, including negative values, and they contribute to the log-odds ratio, which is then transformed into probabilities using the logistic function.

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A polygon has vertices at (-1,1), (1,1), (1,-1) & (-1,-1) what is the perimeter in units of the polygon

Answers

Answer:

8

Step-by-step explanation:

Write an equation for the plane that contains the points (0, -1,3), (2,2,1), and (-3, 2,5) in (a) Point- Normal Form (b) General form (C) Vector form (d) Parametric form

Answers

(a) Point-Normal Form: -11x - 8y - 9z + 45 = 0

(b) General Form: -11x - 8y - 9z + 45 = 0

(c) Vector Form: r = (0, -1, 3) + s(11, 8, 9) + t(0, 0, 1)

(d) Parametric Form: x = 11s, y = -1 + 8s, z = 3 + 9s + t

(a) Point-Normal Form:

To find the equation of a plane in point-normal form, we need a point on the plane and the normal vector to the plane. Let's choose the point (0, -1, 3) from the given points. To find the normal vector, we can take the cross product of two vectors formed by the points.

Vector 1: (2, 2, 1) - (0, -1, 3) = (2, 3, -2)

Vector 2: (-3, 2, 5) - (0, -1, 3) = (-3, 3, 2)

Normal Vector: N = (2, 3, -2) x (-3, 3, 2) = (-11, -8, -9)

Using the point (0, -1, 3) and the normal vector (-11, -8, -9), the equation of the plane in point-normal form is:

-11(x - 0) - 8(y + 1) - 9(z - 3) = 0

(b) General Form:

To write the equation of the plane in general form, we can rearrange the point-normal form equation:

-11x - 8y - 9z + 45 = 0

(c) Vector Form:

The vector form of the equation can be written as:

r = (0, -1, 3) + s(11, 8, 9) + t(0, 0, 1)

(d) Parametric Form:

The parametric form of the equation can be written as:

x = 0 + 11s + 0t

y = -1 + 8s + 0t

z = 3 + 9s + t

Note: In all forms, s and t represent scalar parameters.

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write a equation of a line in slope-intercept form for slope: 5/6, y intercept: 8

Answers

Your answer is y=5/6x+8. I hope this helps

There are twenty books on a shelf. Ten of them are science books, two are social studies, seven are math, and one is reading. What is the probability of choosing a science book, replacing it and then choosing another science book?

Answers

Answer: 1/4

Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!

Does anybody know both of these answere

Answers

Answer: I do not know

Answer:

A decrease by 14 percent

Step-by-step explanation:

50 - 43 is 7

14 percent of 50 is 7

Other Questions
Presenilin cleaves the amyloid precursor protein (APP) at the _________proteolytic cleavage site.a. Deltab. Betac. Alphad. Gamma City Island in the Bronx is approximately 0.4 square miles in size, and has a population of approximately 4,000 people. What is the population density of City Island? Be sure to include correct units in your answer.Suppose that 50 years from now, global warming has melted Greenlands glaciers and raised the sea level, so that City Island shrinks to half of its former size. However, the same number of people still live there.Before doing any calculations, decide if you think the population density of City Island will increase, decrease, or stay the same after the effects of global warming. Explain your answer.Calculate explicitly the population density of City Island after the effects of global warming. the light energy produced from this led bulb came from a coal- fired power plant. what was the original source of the energy found in the coal that was used to produce the electricity for the light bulb? a. the oceans c. sunlight b. atmospheric gases d. uranium 238 an ordered list of chemical substances is shown. chemical substances 1 al 2 o2 3 h2o 4 so2 5 al2o3 6 co2 which substances in the list can be used to write a complete combustion reaction? which of the following is (are) covered by reporting periods? If the Wronskian W of f and g is te2t, and if f(t) = t, find g(t). - NOTE: Use c as an arbitrary constant. Enter an exact answer. g(t) = A and B are complementary angles. If m = ( 6 + 2 ) mA=(6x+2) and m = ( 4 + 18 ) mB=(4x+18) , then find the measure of A. Which of the following statements is NOT true of the artist Xu Bing?a.He never had any formal art training b. He was recruited by the Maoist regime to create propaganda c He demonstrated a talent for writing and calligraphy from an early age d. He survived China's Cultural Revolution Let (an) -1 be a sequence of real numbers and let f : [1,00) +R be a function that is integrable on [1, 6] for every b > 1. Prove or disprove each of the following statements: (a) If a f(x) dx is convergent, then f(n) is convergent. (b) We have: ith53 1+2 n=0 (c) If an is convergent, then . is convergent. nal n=1 (d) If an converges absolutely, then am is convergent. maria was concerned that many respected theories of stratification were based on data about men. she wanted to examine the causes and consequences of class among women, with a particular focus on how stratification systems often oppress women. which paradigm would be best? Which statement is TRUE regarding the Lewis structure for NO3?a. It will exhibit different resonance structures.b. The formal charge on each atom is zero. c. A total of 23 valence electrons are represented. d. It includes only singe bonds. 16. A family living in a hot desert community decides on June 1 to have a backyard pool constructed. The builder cannot begin work until June 12. The required sequential activities are listed below, along with data on their associated normal and crash times and costs. Cost (S) Time (days) Normal Crash Task Description Normal A 1 550 0.5 500 0.5 1000 2 2 Crash Excavation 750 700 B Steel installation Plumbing installation 1300 Inspection 200 E Gunnite 2000 F Gas and electrical connections 1200 G Inspection H Decking 2000 I Tiling 1 450 J Fence and gate inspection Plastering 2 K 1 0.5 700 850 *This fee covers the cost of all inspections. If there are 16 working days between June 12 and June 30, what is the least cost for which all pool construction could be completed by June 30? aaoam khi D 21124 4 224- 1221 200* 1500 950 1700 450 1. in carlos' experience, people in this country seek to reduce inequalities in money and wealth. 1. What is the rationale for using intent-to-treat (ITT) analysis in an RCT? What bias is likely to occur with the use of ITT?2. You are conducting an observational study to understand if excessive alcohol use is a cause of depression. From previous studies, there is evidence that childhood trauma is a cause of alcohol use and a cause of depression. Please draw the DAG for the relationships described.3. If you were to use a cohort study design to conduct the study described above, what must be true of everyone who participates at the start of the study (i.e. at the time of recruitment)? Why does this matter with regard to what you will measure in the study? Listen 2009 industry sales of acrylic paintable caulk were estimated at 369,434 cases. Bennett Hardware, the largest competitor in the industry, had sales of 25,379 cases. The second largest firm was Ace Hardware, with a market share of 4.8 %. Calculate RMS for Ace. Report your answer rounded to two decimal places. Your Answer: Find the rate of convergence of the sequence {cos(1/n^2) as n infinity. Find the rate of convergence of the function f(x) = 1-3^x / x as x 0. Determine the dimension of, and a basis for the solution space of the homogeneous system x1 - 4x2 + 3X3 - X4= 0 2x1 - 8x2 + 6x3 - 2X4 = 0 A Moving to another question will save this response. Question 14 > Moving to another question will save this response. Question 13 5 points Save Answer Two years ago. ZXY deposited $1,540 in (01) On January 1, Bonita Industries has a beginning cash balance of $316000. During the year, the company expects cash disbursements of $1100000 and cash receipts of $950000. If Bonita requires an ending cash balance of $240000, Bonita Industries must borrow how much?(02) If the required direct materials purchases are 18000 pounds, the direct materials required for production is three times the direct materials purchases, and the beginning direct materials are three and a half times the direct materials purchases, what are the desired ending direct materials in pounds? Let A = {1, 2, 3, 4, 5). Which of the following functions/relations on A x A is onto?