Question * The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is: 4 2. This option This option 3. 5 This option This option

The correct interpretation of the 95% confidence interval for the regression slope calculated by the child psychologist is that the length of time a child is able to focus on a given subject decreases by an average of 0.34 to 0.53 minutes for every additional calorie in their lunch.

Confidence intervals are a range of values that estimate a population parameter, such as the slope of a regression line.

The 95% confidence interval calculated by the child psychologist implies that if the same study is conducted multiple times, 95% of the time, the true value of the regression slope will lie within the interval calculated (-0.53, -0.34).

The negative slope of the regression line (-0.34 to -0.53) suggests that there is a negative linear relationship between the amount of calories consumed in lunch and the length of time a child is able to focus on a given subject.

It indicates that for every additional calorie in the lunch of a preschool-age child, the length of time a child is able to focus on a given subject decreases by an average of 0.34 to 0.53 minutes.

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Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

Answer:

It would be 2.9348211e+40

Step-by-step explanation:

Use a calculator

Answer:

How would you represent the expression "any position"?

Step-by-step explanation:

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

Answer:

Step-by-step explanation:

90 + 60 = 150

(right angles = 90)

There is 180 degrees in a triangle, therefore,

180 - 150 = 30

Therefore, x = 30

p.s. Are you good at history?

p.p.s I dont like summer school either =)

Answer:

0.5 X 3 equals 1.5. So it would take One and a half buckets of paint to paint the walls

Answer: 16

Step-by-step explanation:

Answer:

Number is two

Step-by-step explanation:

First of all we find the closest factors of 864 which are 32 x 27

Simply them we have

32 x 27 = 2^5 x 3³

So

Next we know that to be aperfect cube, each exponent needs to be equally divided by divisible by 3.

So If we multiply 864 x 2 we get

Then

1728 = 2^6 x 3³

So if we finally

Take the cube root of that is 2²* 3^1 = 4 x 3= 12

So 2² x 3^1

So if we equate the powers we have the answer as 2.

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

\(2\times l\times w=2lw\)          ...(i)

The product of twice of the length l and the height is:

\(2\times l\times h=2lh\)           ...(ii)

The product of twice of the width w and the height h is:

\(2\times w\times h=2wh\)       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

\(A=2lw+2lh+2wh\)

\(A=2(lw+lh+wh)\)

Therefore, the required expression is \(2(lw+lh+wh)\).

Answer:

The answer is a. cos2x - sin2x - sin x. Use the rule: cos2x = (cos^2)x - (sin^2)x. So, substitute cos2x in the expression: cos2x - sinx = ((cos^2)x - (sin^2)x) - sinx = (cos^2)x - (sin^2)x - sinx. Therefore, choice a. is correct choice.

Answer:

I think the correct answer is F. y = 6x

We will see that the line equation is y = 6*x

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

In this case, the line passes through the points: (0, 0) and (-1/2, -3)

Then the slope is:

\(a = \frac{0 - (-3)}{0 - (-1/2)} = 6\)

Then the line is of the form y = 6*x + b

To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:

0 = 6*0 + b

0 = b

We can conclude that the line is y = 6*x

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Answer:

The answer is D. 9/10

Step-by-step explanation:

The reason why is because the numerator 3 multiplied by 3 gives you 9 and the denominator doesn't change, so the answer is 9/10.

Answer: C

Step-by-step explanation:

30 km/s x 60 = 1800 (1 minute)

1800 x 60 = 10800 (1 hour)

Answer:

C.  108,000 km

Step-by-step explanation:

use distance = velocity x time

30  km x 3600 sec  x  1 hr

      sec         1 hr

= 108,000 km

Answer:

the answer is 7200

Step-by-step explanation:i multiplied 600 by 12 and got 7200

To determine if triangle XYZ and triangle X'Y'Z' are the same shape and size, we need to compare their corresponding angles and side lengths.

Angle Comparison: Check if the corresponding angles in both triangles are equal. If all three angles of triangle XYZ are congruent to the corresponding angles of triangle X'Y'Z', then they have the same shape. However, this does not guarantee they have the same size.

Side Length Comparison: Compare the lengths of the corresponding sides. If all three sides of triangle XYZ are equal in length to the corresponding sides of triangle X'Y'Z', then they have the same size.

If both the angles and side lengths are equal for the corresponding parts of the triangles, then triangle XYZ and triangle X'Y'Z' are congruent, meaning they are the same shape and size.

It's important to note that without specific measurements or additional information about the triangles, it is not possible to definitively determine if they are the same shape and size.

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Answer:

She divided the coefficients incorrectly

Step-by-step explanation:

A. She divided the coefficients incorrectly.

B. She added the exponents instead of subtracting them.

C. She divided the coefficients instead of subtracting them.

D. She subtracted the exponents instead of dividing them.

Correct calculation:

3x³/12x^-2

= 3x³ ÷ 12x^-2

= 3x³ ÷ 1/12x²

= 3x³ × 12x²/1

= 36x^5

Tyna's calculation:

3x³/12x^-2 = x/4

Answer:the answer  is A

Step-by-step explanation:

got 100 on the test

The probability that the product (a1 - 1)(a2 - 2)(a3 - 3)(a4 - 4)(a5 - 5)(a6 - 6)(a7 - 7)(a8 - 8)(a9 - 9)(a10 - 10) is odd ≈ 0.2461 or 24.61%.

To determine the probability that the product (a1 - 1)(a2 - 2)(a3 - 3)(a4 - 4)(a5 - 5)(a6 - 6)(a7 - 7)(a8 - 8)(a9 - 9)(a10 - 10) is odd, we need to consider the parity (even or odd) of each term individually.

Let's analyze the possible values and their parities:

1. For each term (ai - i), there are three possible values: -1, 0, and 1.

  - The value -1 results in an odd term since (-1) + i = i - 1, which is odd.

  - The value 0 results in an even term since 0 + i = i, which is even.

  - The value 1 results in an odd term since 1 + i = i + 1, which is odd.

2. Out of the ten terms, there are five odd terms and five even terms.

Now, to determine the probability, we need to calculate the ratio of the number of favorable outcomes (odd product) to the total number of possible outcomes.

Since each term has two possible parities (odd or even), and there are ten terms, there are 2^10 = 1024 possible outcomes in total.

To calculate the number of favorable outcomes, we need to consider the number of ways to choose five terms to be odd.

This can be calculated using the binomial coefficient:

C(10, 5) = 10! / (5! * (10 - 5)!) = 252

Therefore, there are 252 favorable outcomes.

Finally, the probability is given by:

P(odd product) = favorable outcomes / total outcomes = 252 / 1024 ≈ 0.2461

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The value of dy/dt is -2.625 and The value of dx/dt is 0.5833. The derivative of the function h(s) = -4√s by the limit process is h'(s) = -2/√s The following parts can be solved by the concept of Differentiation.

For the first problem, we are given that x and y are both differentiable functions of t, and the equation x^2 + y^2 = 225 holds true. We need to find the values of dy/dt and dx/dt at certain points.

In part (a), we are given x = 9, y = 12, and dx/dt = 7, and we need to find dy/dt. In part (b), we are given x = 12, y = 7, and dy/dt = -2, and we need to find dx/dt.

In the second problem, we need to find the derivative of the function h(s) = -4√s using the limit process.

(a) To solve part (a), we can differentiate the given equation with respect to t using the chain rule as follows:

2x(dx/dt) + 2y(dy/dt) = 0

At x = 9, y = 12, and dx/dt = 7, we can substitute these values and solve for dy/dt:

2(9)(7) + 2(12)(dy/dt) = 0

dy/dt = -63/24 = -2.625

Therefore, the value of dy/dt is -2.625.

(b) To solve part (b), we can again differentiate the given equation with respect to t using the chain rule:

2x(dx/dt) + 2y(dy/dt) = 0

At x = 12, y = 7, and dy/dt = -2, we can substitute these values and solve for dx/dt:

2(12)(dx/dt) + 2(7)(-2) = 0

dx/dt = 14/24 = 0.5833

Therefore, the value of dx/dt is 0.5833.

For the third problem, we need to use the limit process to find the derivative of the function h(s) = -4√s. We start by writing the definition of the derivative:

h'(s) = lim(h -> 0) [h(s+h) - h(s)]/h

Substituting the function h(s) = -4√s, we get:

h'(s) = lim(h -> 0) [-4√(s+h) + 4√s]/h

Multiplying numerator and denominator by the conjugate expression, we get:

h'(s) = lim(h -> 0) [-4√(s+h) + 4√s][(√(s+h) + √s)/(√(s+h) + √s)]/h

Simplifying the numerator, we get:

h'(s) = lim(h -> 0) [-4h]/[h(√(s+h) + √s)]

Cancelling the h's, we get:

h'(s) = lim(h -> 0) [-4]/(√(s+h) + √s)

Substituting h = 0, we get:

h'(s) = -2/√s

Therefore, the derivative of the function h(s) = -4√s by the limit process is h'(s) = -2/√s

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Answer:

This function is an exponential.

Step-by-step explanation:

Exponentials are the fastest growing functions. In this case, the values in table (C) exhibit an exponential growth in that for every increase in x there is a tripling of the previous value. This would correspond to x being a power of the base 3.

Given equation:

let us now simplify,

the answer is option 2.

answer

1 or 3

explaination

\( {x}^{2} - 4x + 3 = 0 \\ using \: factorization \: method \\ ( {x}^{2} - 3)( - x + 3) = 0 \\ x(x - 3) - 1(x - 3) \\ x - 1 = 0 \: orx - 3 = 0 \\ x = 1 \: or \: 3\)

The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)

Financial value proposition of CBCS:

The financial value proposition of CBCS is based on several factors:

Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)

Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)

Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.

Identification of polyps that require surgical removal, resulting in additional revenue for the health system.

Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.

Financial analysis in Excel:

Please see attached Excel file for the financial analysis.

IRR calculation:

The IRR of the CBCS project is 23.2%.

Payback period calculation:

The payback period of the CBCS project is 2.6 years.

CBCS project is 2.6 years.

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Answer:

Inter milan had 24 wins, 10 draws and 4 losses.

Step-by-step explanation:

Let n₁ = number of wins, n₂ = number of draws and n₃ = number of number of losses. Let W = win points = 3, L = loss points = 0 and D = draw points = 1 Since we have our total number of points a 82, then

n₁W + n₂D + n₃L = 82

3n₁ + n₂ + 0n₃ = 82   (1)

Also, since there are 38 points in total, we have that

n₁ + n₂ + n₃ = 38    (2)

Also, we have 20 more win points than loss points. So,

n₁ = n₃ + 20

n₁ + 0n₂ - n₃ = 20 (3)

We have 3 equations. We now write them in matrix form below.

\(\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] \left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] = \left[\begin{array}{ccc}82 \\38\\20\end{array}\right]\)

In the form AX = B, where A =  

\(A =\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] , X =\left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] and B= \left[\begin{array}{ccc}82 \\38\\20\end{array}\right]\)

Using cramer's rule, n₁ =

\(det\left[\begin{array}{ccc}82&1&0\\38&1&1\\20&0&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right]\)

= 82((-1 × 1) - 0 × 1) - 1((38 × -1)- (20 × 1)) + 0((38 × 0) - 20 × 1) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (-82 + 58 + 0)/(-3 + 2 + 0)

=  -24/-1

= 24

n₂ =

\(det\left[\begin{array}{ccc}3&82&0\\1&38&1\\1&20&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right]\)

= 3((38 × -1)- (20 × -1)) - 82((-1 × 1) - 1 × 1)  + 0(20 × 1 - (38 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (-174 + 164 + 0)/(-3 + 2 + 0)

=  -10/-1

= 10

n₃ =  

\(det\left[\begin{array}{ccc}3&1&82\\1&1&38\\1&0&20\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right]\)

= 3((1 × 20)- (0 × 38)) - 1((1 × 20) - 1 × 38)  + 82(1 × 0 - (1 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (60 + 18 - 82)/(-3 + 2 + 0)

=  -4/-1

= 4

So, Inter milan had 24 wins, 10 draws and 4 losses.

The probability level used by researchers to indicate the cutoff probability level (highest value) that will allow them to reject the null hypothesis is called the alpha level.

Alpha level refers to a threshold value which is used to determine if a test statistic is statistically significant.  In a statistical test, it demonstrates an acceptable probability of a Type I error. As alpha corresponds to a probability, it lies in the range of 0 to 1. The alpha level denoted as alpha or α refers to the probability of rejecting the null hypothesis when it is true. For example, a alpha level of 0.05 demonstrate a 5% risk of concluding that a difference exists when there is no actual difference.

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Using proportions, it is found that Tonio will earn a total of $23,002 in commissions this year.

His salary is composed by:

Then, the total commissions are given by:

\(T = 0.023(52)(15500) + 0.03(12)(12400) = 23002\)

Tonio will earn a total of $23,002 in commissions this year.

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The amount paid for the dress to the nearest dollar is $109

From the question, we are to calculate the amount paid for the dress

From the given information,

Atiku is allowed a discount of 12.5% on a dress that cost $125

First, we will calculate the discount

Discount = 12.5% of $125

Discount = 0.125 × $125

Discount = $15.625

Amount paid = Cost - Discount

Thus,

Amount paid = $125 - $15.625

Amount paid = $109.375

Amount paid ≈ $109

Hence, the amount paid is $109

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Answer:

1684

1+1=2
2+29=31
31:2=15.5
15.5x116=1684

Answer:

33

Step-by-step explanation:

5(6) + 3

30 + 3

= 33

Answer:

The total cost of the companies will be the same after 6 visits. The cost will be $40 after 6 visits

Step-by-step explanation:

Answer:

R: (-3, -4)

S: (-3, -1)

T: (-1, -4)