Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 40 expectant mothers have mean weight increase of 16 pounds in the second trimester, with a standard deviation of 6 pounds. At the 5% significance level, we can conduct a one-sided T-test to see if the mean weight increase in 2015 is greater than 14 pounds. Statistical software tells us that the p-value = 0.021.Which of the following is the most appropriate conclusion?There is a 2.1% chance that a random sample of 40 expectant mothers will have a mean weight increase of 16 pounds or greater if the mean second trimester weight gain for all expectant mothers is 14 pounds.There is a 2.1% chance that mean second trimester weight gain for all expectant mothers is 14 pounds in 2015.There is a 2.1% chance that mean second trimester weight gain for all expectant mothers is 16 pounds in 2015.There is 2.1% chance that the population of expectant mothers will have a mean weight increase of 16 pounds or greater in 2015 if the mean second trimester weight gain for all expectant mothers was 14 pounds in 1959.Find the p-value for the hypothesis test. A random sample of size 50 is taken. The sample has a mean of 420 and a standard deviation of 81.H0: µ = 400Ha: µ > 400The p-value for the hypothesis test is

The sample size that would be required for the width of 99% is 2653.

The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.

The following details are given:

Margin of error, E = 0.025; Significance Level, = 0.01

The proportion p is estimated to be p = 0.53.

The significance level with a critical value of 0.01 is 2.58.

The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:

n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2

As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that

n >= 2652.97 and that it must be an integer value.

Sample size is 2653.

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The solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21

In this question, we have been given an equation 0.2(x+8)-3.4=2.4

We need to solve given equation.

0.2(x + 8) - 3.4 = 2.4

0.2x + 1.6 - 3.4 = 2.4

0.2x - 1.8 = 2.4

0.2x = 2.4 + 1.8

0.2x = 4.2

x = 21

We need to check above solution.

Substitute x = 21 in LHS of given equation.

LHS

= 0.2(21 + 8) - 3.4

= 0.2(29) - 3.4

= 5.8 - 3.4

= 2.4

= RHS

Therefore, the solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21

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Answer:

0.7

Step-by-step explanation:

1.5 - 0.8 = 0.7 :)) hope u get it right!!!

The distance between the school and the park will be 0.7 miles.

Distance is defined as the length between the two points just like in the question it is the length between the school and the park.

Given that:-

The distance will be calculated as:-

Distance   =   1.5   -   0.8   =   0.7 miles  

Therefore the distance between the school and the park will be 0.7 miles

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The Centers for Disease Control and Prevention (CDC) states that the average height for men and women in the United States is around 5 feet, 9 inches and 5 feet, 4 inches, respectively.

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When selecting true claims, you might opt for those that were first made in the narrative and are not adamant declarations. All things considered, the evidence strongly suggests that the 1930s were the beginning of the Great Depression.

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Answer:c

Step-by-step explanation:

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

We have to given that;

the circumference of each circular base of a cylinder is equal to the height of the cylinder.

Now, We get;

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

Hence, As a result, the cylinder's cross section, or the form you see when you cut it perpendicular to its height, will always be round and its diameter will remain constant over the course of the cylinder's height.

Thus, A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

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Step-by-step explanation:

To figure out how much smaller Max's sandbox is, we will divide 25 by 10, 25/10 = 2.5. Max's sandbox is 2.5 times smaller than the one in the park.

To find x we will divide 15 by 2.5 to keep the proportions the same, 15/2.5 = 6, so x = 6 feet.

To find y, we will do the same but with 12.5, 12.5/2.5 = 5, so y = 5 feet.

To find the perimeter, we will add all the sides together, 10 + 6 + 5 = 21, so the perimeter of Max's sandbox is 21 feet.

Hope this helps!

To evaluate the function f(x) = 3x + 8 for a specific value of x, we can substitute the value into the function and perform the necessary calculations. In this case, when evaluating f(-4), we substitute -4 into the function to find the corresponding output. The result is f(-4) = 3(-4) + 8 = -12 + 8 = -4.



The function f(x) = 3x + 8 represents a linear equation in the form of y = mx + b, where m is the coefficient of x (in this case, 3) and b is the y-intercept (in this case, 8). To evaluate f(-4), we substitute -4 for x in the function and calculate the result.

Replacing x with -4 in the function, we have f(-4) = 3(-4) + 8. First, we multiply -4 by 3, which gives us -12. Then, we add 8 to -12 to get the final result of -4. Therefore, f(-4) = -4. This means that when x is -4, the function f(x) evaluates to -4.

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Vector is the quantity that has magnitude as well as direction. The component form of the vector that translates P(-3,6) to P'(-4,8)  is -i + 2j.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

The given points are P(-3,6) to P'(-4,8) .

The vector component form of two points (x₁,y₁) and (x₂,y₂) is given by ,

(x₂-x₁)i + (y₂-y₁)j

Therefore, The vector component form of given points are,

(-4-(-3))i + (8-6)j

-i + 2j.
Hence "The component form of the vector that translates P(-3,6) to P'(-4,8) -i + 2j.

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The initial velocity required in the roller coaster design is also 26 m/s.

what is an algebraic expression?

An algebraic expression is a mathematical phrase consisting of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To determine the initial velocity required in a roller coaster design, we can use the conservation of energy principle. At the top of the drop, the total energy of the roller coaster is potential energy, given by mgh, where m is the mass of the roller coaster, g is the acceleration due to gravity, and h is the height of the drop.

At the bottom of the drop, the total energy of the roller coaster is kinetic energy, given by (1/2)mv^2, where v is the velocity of the roller coaster at the bottom.

By equating the two energies, we get:

mgh = (1/2)mv^2

Solving for the initial velocity, we get:

v = sqrt(2gh)

where h is the height of the drop.

Substituting the given values, we get:

v = sqrt(2 x 9.8 m/s^2 x 34 m) = 26 m/s

Therefore, the initial velocity required in the roller coaster design is also 26 m/s.

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Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

The equation of the line in slope intercept form is

we have

-----> the point (0,16) is the y-intercept

substitute

convert to function notation

f(x)=y

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

step 2

Find the equation of the line into point slope form

we have

substitute

Convert to standard form

Multiply by 4 both sides to remove the fraction

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

-brainly user

Answer:

Your function would be y = 1/2x + 16.

Explanation:

Points: (0, 16); (2, 17)

Slope: m = (17 - 16) / (2 - 0) = 1/2

Slope intercept form: y = mx + b

So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.

Therefore, your ending function is y = 1/2x + 16.

Answer:

City 1 and City 2

Step-by-step explanation:

The water is moving down stream, moving from City 1-2-3-4 in that order.

if water was taken a the X mark, the pollutants would have to have come from the cities above where the sample was taken.

Hope this helps!

Answer:

City 1 and 2.

Step-by-step explanation:

To be completely honest I have never done a problem like this before but I am fairly confident with my answer. As it can't be city 3 or 4 as they are after the polluted water sample was taken and the river is flowing down. The only two options it could be is city 1 and 2.

I hope this helps!

Answer:

12

Step-by-step explanation:

3 person, devide total budget by 5, each person's share would be £12

Answer: $2.87

Step-by-step explanation:

0.41 per pack

0.41 x 7 = 2.87

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

\(1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1\)

Lets solve the bottom most part first:

\(1-\frac{1}{1-sec^2x} \\\\\)

Take LCM

\(1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}\)

now break the LCM

\(\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1\)

because 1/tan = cot x

and furthermore,

\(cot^2x+1\\cosec^2x\)

now we solve the above part and replace the bottom most part that we solved with \(cosec^2x\)

\(\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x\)

Hence proved! :D

To express the answer in terms of r1, r2, r3, r4, r5, r6, r7, r8, c1, c2, c3, l1, and s, you need to first determine the transfer function of the circuit. This can be done using circuit analysis techniques such as Kirchhoff's laws, nodal analysis, or mesh analysis.



For an ideal op-amp circuit analysis, follow these steps:

1. Identify the type of circuit (inverting, non-inverting, integrator, differentiator, etc.) based on the arrangement of resistors, capacitors, and the op-amp.
2. Apply Kirchhoff's current and voltage laws to determine equations relating the input and output voltages.
3. Apply Laplace transform to the derived equations, replacing the time domain with the frequency domain (s-domain).
4. Solve the transformed equations for the output voltage in terms of the input voltage and the given terms (r1-r8, c1-c3, l1, and s).

Please provide the specific problem or circuit so that we can accurately provide the solution in terms of the given terms.

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The length of the longer base to be 10. Finally, substituting these values into the original formula gives us Total area is = 16 ft².

Using the given formula, we can find the total area to be:

Total area = area of parallelogram + area of trapezoid

= 11 + 1/2(enter your response here + 7)

= enter your response here + 66

= enter your response here ft²

To find the missing values, we need to solve for the unknown side lengths of the parallelogram and trapezoid. From the given information, we know that the area of the parallelogram is 11 and the height of the trapezoid is 1. We can use the area formula for each shape to set up equations in terms of the unknown side lengths.

For the parallelogram, area = base x height = 11. We don't know the base or height, but we know that the opposite sides of a parallelogram are equal in length. Let's call the length of one side x. Then, the length of the other side is also x, and the height is h. Substituting these values into the area formula gives us:

11 = x * h

For the trapezoid, area = (base1 + base2) / 2 * height = 1/2 (enter your response here + 7) * 1. We don't know the lengths of the bases, but we know that they are parallel and that the length of one base is enter your response here greater than the length of the other base. Let's call the length of the shorter base x. Then, the length of the longer base is x + enter your response here, and the height is 1. Substituting these values into the area formula gives us:

1 = (x + enter your response here + x) / 2 * 1

1 = (2x + enter your response here) / 2

2 = 2x + enter your response here

Now we have two equations with two unknowns, which we can solve simultaneously using substitution or elimination. Solving for h in the first equation gives us h = 11 / x, which we can substitute into the second equation:

2 = 2x + enter your response here

2 = 2x + 2h

= 2x + 2(11 / x)

2x^2 = 4x + 22

2x^2 - 4x - 22 = 0

Solving for x using the quadratic formula gives us:

x = (-(-4) ± sqrt((-4)^2 - 4(2)(-22))) / (2(2))

x = (4 ± sqrt(144)) / 4

x = (4 ± 12) / 4

x = -2 or 3

Since the length of a side cannot be negative, the length of the shorter base of the trapezoid is 3. Using this value, we can find the length of the longer base to be 10. Finally, substituting these values into the original formula gives us:

Total area = 11 + 1/2(3 + 7)

= 11 + 5

= 16 ft²

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Answer:

Step-by-step explanation:

1400

Answer:

300 words in 6 minutes

300/6 words in 1 minutes

50 words in 1 minutes

Therefore,Lee can type 50 words in 1 minute.

Simplest ratio of squares to triangles is \(3:5\)

There are 15 triangles and 9 squares.

Triangle is a three sided polygon which has three vertices and three sides which are connected to each other end to end at a point. sum of all three angles of a triangle is 180° .

Square is a four sided polygon which has four vertices and four sides all sides are equal in length, and all angles are equal to 90°.

A ratio is a comparison of two or more number that indicates their sizes in relation to each other ratio compare two quantities by division. here the dividend is called antecedent and the divisor is called consequent. the general form of representing a ratio between two quantities say 'a' and 'b' is a:b which is read as a is to b

Here we have to find the ratio of squares to triangles.

Given,

Number of triangle \(=15\)

Number of squares \(=9\)

Ratio of squares to triangle is\(=9/15\) (divide both antecedent and consequent by \(3\))

Simplest ratio of square to triangle is \(=\frac35=3:5\)

So the simplest ratio of squares to triangle is \(3:5\)

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Answer:

square is the answer...

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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Answer:

64

Step-by-step explanation:

a = 235

b = 299

d (difference) = b - a

d = 299 - 235

d = 64

Answer:

Step-by-step explanation:

2(51 - p)

= 102 - 2p

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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Answer:

7

Step-by-step explanation:

If the mean of the data set is 8 innings, then:

\(\dfrac{11+12+7+3+x}{5}=8\\11+12+7+3+x=8 \times 5\\33+x=40\\x=40-33\\x=7\)

Therefore, the number of innings Brantley pitched is 7

Answer:

7

Step-by-step explanation:

Answer:

x=-21

Step-by-step explanation:

x+5x-7(2+x)=7 so 6x-14-7x=7

-x=21 so x=-21

an equation of the tangent line to the graph at the point (4, -14) is y = (-13/4)x - 1.

To find y'(4), we use implicit differentiation as follows:

Differentiate both sides of the given equation with respect to x:

d/dx[3x^2 + 3x + xy] = d/dx[4]

6x + 3 + y + xy' = 0 ... (1)

Substitute x = 4 and y = -14 (given):

6(4) + 3 - 14 + 4y' = 0

24 + 4y' = 11

4y' = -13

y' = -13/4

Therefore, y'(4) = -13/4.

To find the equation of the tangent line to the graph at the point (4, -14), we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting m = y'(4) = -13/4 and (x1, y1) = (4, -14), we get:

y - (-14) = (-13/4)(x - 4)

y + 14 = (-13/4)x + 13

y = (-13/4)x - 1

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Bartlett Company is in a healthy financial position, with strong liquidity, consistent profitability, and diverse revenue streams.

The Strengths are defined as,

The company has a healthy current ratio, which indicates that it can meet its short-term obligations efficiently.

The company has been consistently generating profits over the years, and its net income has been increasing.

Bartlett Company generates revenue from multiple sources, which reduces the risk of dependence on a single source.

The Weaknesses are defined as

An increasing debt level can put pressure on the company's financial position in the long run.

Bartlett Company's return on equity (ROE) is relatively lower compared to the industry average, indicating that the company is not generating as much profit from its equity as its peers.

The company has a low dividend payout ratio, which means that it is not distributing much of its profits to shareholders in the form of dividends.

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Answer:

8.25

Step-by-step explanation:

19.8/2.4=8.25