Write a numerical tatement to repreent the problem. Then implify the numerical expreion to anwer the quetion. After dieting for 30 day, Ignacio ha lot 12 pound. What number decribe hi average weight change per day?

Answer:

\(\angle T = 70\)

Step-by-step explanation:

Given

\(\angle T= 2x\)

\(\angle S= 75\)

\(\angle R= x\)

See attachment for triangle

Required

Calculate \(\angle T\)

First, we add up the angles in the triangle;

\(\angle R + \angle S + \angle T = 180\)

\(x + 75 + 2x = 180\)

Collect like terms

\(x + 2x = 180 - 75\)

\(3x = 105\)

Solve for x

\(x = \frac{105}{3}\)

\(x = 35\)

Given that:

\(\angle T= 2x\)

\(\angle T = 2 * 35\)

\(\angle T = 70\)

At a mathematical level, if the two conditions for omitted variable bias are satisfied, then  E(uᵢ| Xᵢ, Wᵢ) = E(uᵢ| Wᵢ)

The correct answer is a. E(uᵢ| Xᵢ, Wᵢ) = E(uᵢ| Wᵢ).

The two conditions for omitted variable bias are:

The omitted variable (Wᵢ) is correlated with the independent variable of interest (Xᵢ).

The omitted variable (Wᵢ) is also related to the dependent variable (Yᵢ).

If these two conditions are satisfied, then the estimated coefficient of Xᵢ will be biased, and the bias will depend on the correlation between Xᵢ and Wᵢ. In this case, the correct specification of the regression model should include the omitted variable Wᵢ.

Option b is incorrect as it describes the assumption of independent and identically distributed (i.i.d.) observations, which is not related to omitted variable bias.

Option c is incorrect as perfect multicollinearity is a situation where there is an exact linear relationship between two or more independent variables, and it can cause numerical problems in estimating the coefficients of the regression model, but it is not related to omitted variable bias.

Option d is incorrect as it describes the presence of outliers and their impact on the regression model, which is also not related to omitted variable bias.

a. E(uᵢ| Xᵢ, Wᵢ) = E(uᵢ| Wᵢ).

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Answer:

1.a

2. d

3 a

4 a

5 c

6 d

7 b

8 b

9 b

10 d

11 c

12 d

not too confidnet on the later fractions but most of  them should be fine :D

Step-by-step explanation:

The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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Answer:

\(f(y) = \frac{9y^4+26y^2+9}{y^4}\)

Step-by-step explanation:

Work is attached from a derivative calculator. If you hover over the steps it tells you exactly what its doing(on the website). Feel free to ask if you dont understand any of the individual steps it does.

The p-value for testing whether the mean height is greater than 64 inches is (d) (1 - 0.9999).

To find the p-value, we can use a one-sample t-test. The test statistic can be calculated as t = (sample mean - population means) / (sample standard deviation / √sample size). In this case, the sample mean is 64.5 inches, the population mean is 64 inches, the sample standard deviation is 0.9, and the sample size is 48. Plugging these values into the formula, we get t = (64.5 - 64) / (0.9 / √48) ≈ 2.042.

The p-value can then be obtained by comparing the t-value to the t-distribution with degrees of freedom equal to the sample size minus 1 (48 - 1 = 47). Since we are testing whether the mean height might be greater than 64 inches, we are interested in the right tail of the t-distribution. The p-value can be found as (1 - the cumulative probability of t-value).

Using statistical software or tables, we can find the cumulative probability for a t-value of approximately 2.042 and degrees of freedom of 47, which is very close to 0.0001. Therefore, the p-value is (d) (1 - 0.9999), which is approximately 0.0001.

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Make's absolutely no sense. Please rephrase this as a question.

Answer:

512 in^3

Step-by-step explanation:

It would be length x height x width = AREA

8 x 8 x 8= 512 and since its 3d it will be 512^3

The scatter plot shows the relationship between the time left and current bid of a calculator.

The true statement is: the predicted bid for a calculator with 40 minutes remaining is less than that of a calculator with 3 hours remaining

The regression equation is given as:

\(\mathbf{y =60.386 +0.322x}\)

When x = 40 (i.e. 40 minutes), we have:

\(\mathbf{y =60.386 +0.322\times 40}\)

\(\mathbf{y =60.386 +12.88}\)

\(\mathbf{y =73.266}\)

When x = 180 (i.e. 3 hours), we have:

\(\mathbf{y =60.386 +0.322\times 180}\)

\(\mathbf{y =60.386 +57.96}\)

\(\mathbf{y =118.346}\)

By comparison: 73.266 < 118.346

Hence, the predicted bid for a calculator with 40 minutes remaining is less than that of a calculator with 3 hours remaining

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when x = 4 and dx = 0.3, the differential dy is approximately 19.2, and when x = 4 and dx = 0.6, the differential dy is approximately 38.4.

The differential dy can be calculated using the formula dy = f'(x)dx, where f'(x) is the derivative of the function with respect to x and dx is the change in x.

First, we find the derivative of the function y = 3x^2 + 2x + 4, which is f'(x) = 6x + 2.

For the first scenario, when x = 4 and dx = 0.3, we substitute these values into the derivative and multiply by dx:

dy = (6(4) + 2)(0.3) = 19.2.

Therefore, when x = 4 and dx = 0.3, the differential dy is approximately 19.2.

For the second scenario, when x = 4 and dx = 0.6:

dy = (6(4) + 2)(0.6) = 38.4.

Therefore, when x = 4 and dx = 0.6, the differential dy is approximately 38.4.

In summary, when x = 4 and dx = 0.3, the differential dy is approximately 19.2, and when x = 4 and dx = 0.6, the differential dy is approximately 38.4.

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The proportion of people that are classified as depressed (0.316) is different from 0. 30. When there is no relationship or no effect between variables it is null hypothesis and  when there is relationship or effect between variables it is alternative hypothesis.

About 30% of people age 50 to 60 suffer from mild depression.

Total number of people selected = 500

Total number of people depressed = 158

Total number of people that are not depressed = Total number of people selected - Total number of people depressed

Total number of people that are not depressed = 500 -158 = 342

proportion of people that are depressed = ( Total number of people depressed / Total number of people selected) = 158 / 500 = 0.316

Proportion of people that are depressed is 0.316 and this value is different from the value mentioned in question i.e.,0.30.

Null hypothesis of a test always predicts no relationship or no effect between variables. Alternative hypothesis states your research prediction of an relationship or effect.

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other person alr did #1, and #2 is 0.175

5% of 3 and one half is 0.175 as a decimal

Answer:

$139.24

Step-by-step explanation:

$98+$20=$118

(1.18)($118)=$139.24

the 1.00 in 1.18 is the cost without tax, the 0.18 is the tax, so if you want the cost of the room with tax you would multiply the cost of the room before tax with 1.18

The tax for every room is the same(.18). Tax is taken from the initial cost so you would do 98+20= 118. $118 is the cost of the double room without tax, $139.24 is with tax.

To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Answer:

21+9=27+x

30=27+x

30-27=x

x = 3

Answer:

2. 25

max = 88 feet

See the attachment photo!

Answer: 2 x 100,000 = 200,000

Step-by-step explanation:

i am not fully sure how to explain sorry hope it is still helpful though

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

  (e)  3x +5

Step-by-step explanation:

You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.

The volume can be factored as ...

  21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)

The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.

The width of the boxes is 3x +5.

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It would take Darwin and Rosa's cost 5 hours to be the same.

The right equation and answer are 150 + 25x = 55x; 5 hours. Choose C)

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Given that:

Darwin charges $150 plus $25 an hour to paint the house.

Rosa charges $55 per hour.

Let x and c represent the number of hours used and the cost respectively

For Darwin:

c = 150 + 25x

For Rosa:

c = 55x

When Darwin and Rosa have the same cost, we can write:

150 + 25x = 55x

To find the number of hours, solve for x:

150 + 25x = 55x

150 = 55x - 25x

55x - 25x = 150

30x = 150

x = 150/30

x = 5

Thus, the right equation is  55x - 25x and the number of hours it would  take for Darwin and Rosa's cost to be the same is 5 hours

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Answer: Is In The Explanation

Step-by-step explanation: For the answer to the question above,

A) You just fill in 0 for w in the problem and anything raised to the power of 0 is 1, so 230(1) is 230, and that is the old factory and at 0 for the new, it is at 190. Subtract then explain why you did what you did.

B) I believe what they are asking for you to do, is you can take each week from the new factory and subtract it and find the equation for the new factory, you already know the growth rate for the old factory= 230(1.1)^w.

C) You take your old factory's equation and plug in numbers until one of them is greater at the new factory.

Let:

From that equation:

If two lines are perpendicular, then:

Given an arbitraty point:

Using the point slope equation:

Answer:

$46

Step-by-step explanation:

Given that :

The expression : 2m+ 10c ( amount made from selling muffins and C cakes.)

This means cost per muffin is 2 and cost per cake is 10

Hence, amount made from selling 3 muffins and 4 cakes ;

2(3) + 10(4)

$6 + $40

= $46

The length of the wire is approximately 7.8 meters (m) to 1 decimal place.

Pythagoras' theorem is a fundamental concept in mathematics that relates to the sides of a right-angled triangle. It states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

In the given question,

We can use Pythagoras' theorem to find the length of the wire, k.

According to the theorem, the square of the hypotenuse (the wire) is equal to the sum of the squares of the other two sides (the height of the pole and the distance from the base to the wire).

So, we have:

k^2 = 6^2 + 5^2

k^2 = 36 + 25

k^2 = 61

Taking the square root of both sides, we get: k = √61 ≈ 7.8

Therefore, the length of the wire is approximately 7.8 meters (m) to 1 decimal place.

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Answer: a) \(\dfrac{13}{7}\)

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is \(\dfrac23\) of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

\(\Rightarrow CM=\dfrac23 CD\)

Since CM = x +5 and CD = 5x + 1

\(\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}\)

Correct option is a)

Answer:

The Moon has a gravitational pull 1/6 of that of Earth

Step-by-step explanation:

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