A researcher surveyed 220 residents of a city about the number of hours they


spend watching news on television each day. The mean of the sample was


1. 8 with a standard deviation of 0. 35.


The researcher can be 95% confident that the mean number of hours all the


residents of the city are watching news on television is 1. 8 with what margin


of error?

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )

The radius of the n = 80 state of the Bohr hydrogen atom is 3.52 × 10² Å.

The formula to find the radius of an atom in the nth state of the Bohr model is:

r = n² × (0.529 Å) / Z

Where:

r = radius

n = state number

Z = atomic number (for hydrogen, Z = 1)

0.529 Å = Bohr radius

For n = 80,

the radius of the Bohr hydrogen atom can be calculated as:

r = (80)² × (0.529 Å) / 1r = 3.52 × 10² Å (rounded to three significant figures)

Therefore, the radius of the n = 80 state of the Bohr hydrogen atom is 3.52 × 10² Å.

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1. In this context, the other variables that might be confounded with a mother's consumption of diet soda during pregnancy are the health of the mother during gestation period.

2. A sentences which can best describes a completely randomized design for this experiment on "Diet soda and pregnancy" is "adverse effect of intake of soda drinks on pregnancy".

Basically, completely randomized design is a type of experimental design in which the experimental units are assigned to the various treatments at random. When the experimental units are thought to be "uniform," that is, when there is no uncontrolled factor in the experiment, it is used.

It is a design where the treatments are assigned completely at random so that each experimental unit has the same chance of receiving any one treatment. For the CRD, any difference among experimental units receiving the same treatment is considered as experimental error.

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Answer:

Diameter14

Using the formulas

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·142≈153.93804m²

Step-by-step explanation:

Given -

Amount Arianna invests = $5800

Annual interest = 5% compounded quarterly

To Find -

The value of her investment after 4 years =?

Step-by-Step Explanation -

We know the formula to calculate Investment Value =

Where,

A = Accumulated Value

P = Principal Amount = $5800

r = Rate of interest = 5% = 5/100 = 0.05

m = Number of times compoudeded = quarterly = 4

t = years = 4 Years

Now, putting all these values in the above formula, we get:

Final Answer -

The value of her investment after 4 years = $7075 and 36 cents

Answer:

126 mm / 3 = 42 mm

The length of each side of this equilateral triangle is 42 mm.

Answer:

X-14 / 2 = 24

Step-by-step explanation:

X-14 / 2 = 24

X-14 / 2 = 24

Answer:

\(2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0\)

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

Answer: $329.05

Step-by-step explanation:

Since she pays $245.82 monthly and she is paying for 6 months, the amount paid will be:

= $245.82 × 6

= $1474.92

Since she buys the full golf club set for $1,145.87, then her finance charge will be:

= $1474.92 - $1,145.87

= $329.05

The finance charge is $329.05

Using the exponential distribution formula:

(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704

(b) The 40th percentile is 29.15 minutes

a) Using the exponential distribution formula:

P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935

P(X > 15) = \(e^{(-15/20)}\) = 0.2231

P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704

b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:

0.40 = 1 - \(e^{(-x/20)}\)

Solving for x:

\(e^{(-x/20)}\)= 0.60

-x/20 = ln(0.60)

x = -20 ln(0.60) = 29.15

Therefore, the 40th percentile is 29.15 minutes.

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Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

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Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

The value of the principal is \($10,000\).

The equation:

A = P(1 + 0.043t)

A represents the amount of money earned on a savings account with 4.3% annual simple interest, P represents the principal (initial amount of money), and t represents the time in years.

We are also given that the account balance is \($15160\) after 12 years.

To substitute these values into the equation and solve for the principal:

A = \($15160\)

t = 12

0.043 = 4.3%

\($15160\) = P(1 + 0.043(12))

\($15160\) = P(1 + 0.516)

\($15160\) = P(1.516)

P = \($10000\)

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Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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Answer:

\(x=\frac{ln(12)}{3}\)

Step-by-step explanation:

We can solve this equation by taking the natural log of both sides.

This gives us the equation: \(ln(e^{3x})=ln(12)\)

And the definition of natural log is basically, "what do I have to raise e to, to get this result"

The result is just e^3x, so I have to raise e to what? Well that's just 3x, you could also use log properties to bring the exponent in front and realize ln(e) = 1

So this gives us: \(3x=ln(12)\)

Now divide both sides by 3: \(x=\frac{ln(12)}{3}\)

The statement "If the system of a linear equation has the unique solution, then the system is inconsistent." is False since a single solution is an indication that the equations intersect at a specific point, making it consistent.

A system of linear equations is a set of two or more linear equations that contain two or more variables. A solution to the system of linear equations is a set of values for the variables that satisfies all the equations in the system.

The system of linear equations having a single solution is a consistent system since a single solution is an indication that the equations intersect at a specific point. This contradicts the notion that the system is inconsistent. An inconsistent system is one that has no solutions.

Thus, if a system of linear equations has a unique solution, it must be consistent.

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Answer:

B -- give brainliest pls

Step-by-step explanation:

Answer:

87.96

Step-by-step explanation:

Where pi is approximately equal to 3.14 and r is the radius of the circle.

In this case, the radius is 14 yards.

So the circumference is:

2pi14 = 87.96 yards.

A play with a humorous or satirical tone which usually ends with a dance or a marriage is traditionally called a "comedy".

A play with a satirical tone is one that uses irony, sarcasm, and ridicule to criticize or expose human folly or vice. Satirical plays often use humor to point out the flaws in society, politics, or culture, and they can be seen as a form of social commentary.

Examples of well-known satirical plays include "The Importance of Being Earnest" by Oscar Wilde, "Animal Farm" by George Orwell, and "The Resistible Rise of Arturo Ui" by Bertolt Brecht. These plays use humor, wit, and exaggeration to make their point and to criticize the society in which they were written. They often challenge the status quo and call for change, making them a powerful form of political and social commentary.

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Answer:

A metal disk 12cm in diameter and 5cm thick is melted down and cast into a cylindrical bar of diameter 5cm . How long is the bar

the polynomial is: \(f(x) = (x + 2)^2(x - 2)^2x^3.\)

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Since -2 and 2 are zeros of multiplicity 2, we know that the factors \((x + 2)^2 and (x - 2)^2\) must be in the polynomial. Since 0 is a zero of multiplicity 3, we know that the factor \(x^3\) must also be in the polynomial. Therefore, we can write:

\(f(x) = k(x + 2)^2(x - 2)^2x^3\)

where k is some constant. To find k, we can use the fact that f(-1) = 27:

\(27 = k(-1 + 2)^2(-1 - 2)^2(-1)^3\)

27 = 27k

k = 1

So the polynomial is:

\(f(x) = (x + 2)^2(x - 2)^2x^3\)

To sketch the graph of f, we can start by plotting the zeros at x = -2, x = 2, and x = 0. Since the degree of the polynomial is 7, we know that the graph will behave like a cubic function as x approaches infinity or negative infinity. Therefore, we can sketch the graph as follows:

As x approaches negative infinity, the graph will go downward to the left.

As x approaches -2 from the left, the graph will touch and bounce off the x-axis.

As x approaches -2 from the right, the graph will touch and bounce off the x-axis.

Between -2 and 0, the graph will be shaped like a "W", with three local minima and two local maxima.

At x = 0, the graph will touch and bounce off the x-axis.

Between 0 and 2, the graph will be shaped like a "U", with one local minimum and one local maximum.

As x approaches 2 from the left, the graph will touch and bounce off the x-axis.

As x approaches 2 from the right, the graph will touch and bounce off the x-axis.

As x approaches infinity, the graph will go upward to the right.

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Answer:

c to a a to f

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2 units right 1 unit down

Good luck

Answer:

(x-2, y+1)

Step-by-step explanation:

G(0, 4) -> G'(-2, 5)

H(2, 4) -> H'(0, 5,)

E(0, 2) -> E'(-2, 3)

F(-1, 2) -> F'(-3, 3)

Step 1: There are four consecutive integers that add up to - 362

Step 2: Let's write the equation to find the four consecutive integers, as follows:

• Let x to represent the first consecutive integer

• Let x + 1 to represent the second consecutive integer

• Let x + 2 to represent the third consecutive integer

• Let x + 3 to represent the fourth consecutive integer

Therefore,

x + x + 1 + x + 2 + x + 3 = -362

Step 3: Let's solve for x

4x + 6 = -362

Subtracting 6 at both sides:

4x + 6 - 6 = -362 - 6

4x = -368

Dividing by 4 at both sides:

4x/4 = -368/4

x = -92

Step 4: Let's find the four consecutive integers based on x = -92

• x + 1 = -92 + 1 = -91

• x + 2 = -92 + 2 = -90

• x + 3 = -92 + 3 = -89

Step 5: The four consecutive numbers that add up to -362 are:

-89, -90, -91 and -92

$2100 was invested at 2% and $2900 ($5000 - $2100) was invested at 3%.

Let x be the amount invested at 2% and y be the amount invested at 3%. We know that x + y = $5000 and the interest earned is $129. We can use the formula for simple interest, I = Prt, where I is the interest earned, P is the principal (or initial amount invested), r is the interest rate, and t is the time period.

Thus, we have:

0.02x + 0.03y = $129 (1)

x + y = $5000 (2)

We can solve for one of the variables in terms of the other from equation (2), such as y = $5000 - x. Substituting this into equation (1), we get:

0.02x + 0.03($5000 - x) = $129

Simplifying and solving for x, we get:

0.02x + $150 - 0.03x = $129

-0.01x = -$21

x = $2100

Therefore, $2100 was invested at 2% and $2900 ($5000 - $2100) was invested at 3%.

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