notice how using one significant digit would not be graded as correct. given to two significant figures, the current is 2.2 a. does this fall within the 2% tolerance range?

The equation of the line is y = 0.5x + 1 having a slope of 0.5 and y intercept of 1

The equation of a line is:

y = mx + b

Where m is the slope and b is the y intercept

From the table shown, the points are:

(-6, -2), (-4, -1), (-2, 0), (0, 1) and (2, 2)

Using any two points to get the equation. Let us use (-2, 0) and (0, 1):

y - 0 = [(1 - 0)/(0-(-2))](x - (-2))

y = 0.5x + 1

The equation of the line is y = 0.5x + 1

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The U.S. Census Bureau takes a census every 10 years, which means that they attempt to count every person living in the United States and collect data on various demographic and social characteristics.

A sample is a subset of a larger population, selected in a way that it represents the characteristics of the population from which it is drawn. The purpose of sampling is to estimate or infer something about the population based on the characteristics of the sample.

On the other hand, a census is a survey or count that attempts to measure every member of a population.

In a census, data is collected on every individual or item in a population, rather than just a representative sample.

If you wanted to estimate the average income of households in a city, you could select a sample of households and estimate the average income based on the incomes of the sampled households.

This would be an example of sampling.

Alternatively, you could conduct a census of every household in the city, collecting income data from every household, and calculate the exact average income of all households in the city.

The purpose of the census is to provide a complete and accurate count of the population, which can then be used to allocate political representation and government funding, as well as to provide data for research and planning purposes.

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Answer:

Ok its friday be happy

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

You get the answer by multiplying the radius by 2 to get the diameter and then multiplying the result by pi or 3.14, which gives you 62.83 and then round it up which is 63

The mean and the standard deviation of the sampling distribution of the sample mean  is equal to 4.57 and 0.69 respectively.

Population mean  'μ' = 4.57

Sample size 'n' = 7

Population Standard deviation 'σ' =1.82

Mean of the sampling distribution of the sample mean is equal to the population mean,

which is μ = 4.57.

So, μₓ = μ = 4.57.

Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.

Using the formula we have,

σₓ = σ / √(n)

Substituting the given values, we have,

⇒ σₓ = 1.82 / √(7)

⇒ σₓ = 1.82 / 2.646

⇒ σₓ = 0.6878

⇒ σₓ ≈ 0.69

This implies,

The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.

Therefore, the mean of the sampling distribution of the sample mean and

standard deviation of the sampling distribution of the sample mean  is equal to 4.57 and 0.69 respectively.

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The above question is not complete, the complete question is:

Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.

Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.

(a) Find μₓ(the mean of the sampling distribution of the sample mean).  ?

(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?

Answer:

6/25

Step-by-step explanation:

6/25

0.24... as a fraction in simplest form is 6/25.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

We have:

0.24 = 24/100

In this case, 24 and 100 have a common factor, which is 4. Thus, 0.24 (24/100) in simplest form will be:

0.24 = 24/100 = 6/25  (divide both numerator and denominator by 4)

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Answer:

Your wrong, it’s B.

X axis = Number of Bottles of water sold

Y axis = Number of dollars collected

So, (x,y)

That means, (Number of Bottles of water sold,Number of dollars collected)

Finally, (10,20) means he sold 10 bottles of water for $20.

Hope that helped!

Step-by-step explanation:

anwers:

B: cameron sells 10 bottles of water for $20

T satisfies both conditions, we can conclude that the function T is a linear transformation from R² to R³.

Given function T = (a, b, c) = (a + 5, b + 5, c + 5).

To determine if the function T is a linear transformation from R² to R³,

we need to verify if it satisfies the following conditions: 1.

T(u+v) = T(u) + T(v)2. T(ku) = kT(u)

For any vector u, v in R² and scalar k.

First, let's check for condition 1.

T(u+v) = T((a₁, b₁) + (a₂, b₂))

= T((a₁ + a₂, b₁ + b₂))

= (a₁ + a₂ + 5, b₁ + b₂ + 5, c + 5)

= (a₁ + 5, b₁ + 5, c + 5) + (a₂ + 5, b₂ + 5, c + 5)

= T(a₁, b₁) + T(a₂, b₂)= T(u) + T(v)

Therefore, T satisfies condition 1.

Now, let's check for condition 2.

T(ku) = T(k(a, b))

= T(ka, kb)

= (ka + 5, kb + 5, c + 5)

= k(a + 5, b + 5, c + 5)

= kT(u)

Therefore, T satisfies condition 2.

Since T satisfies both conditions, we can conclude that the function T is a linear transformation from R² to R³.

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Answer:

(2) 19

Step-by-step explanation:

Answer:

hope this helps you have a great

Answer:

1mm

Step-by-step explanation:

The  absolute maximum value of f(x) on the interval [-3,9] is approximately 1.3 x 10^9 and the absolute minimum value of f(x) on the interval [-3,9] is 0.

To find the absolute maximum and minimum values of the function f(x) = x^8e^(-x) on the interval [-3, 9], we first need to find the critical points and endpoints of the function on the interval.

Taking the derivative of the function, we get:

f'(x) = x^7e^(-x)(8-x)

Setting f'(x) equal to zero, we get critical points at x=0 and x=8. We also need to check the endpoints of the interval, x=-3 and x=9.

Now we need to evaluate the function at these points to find the absolute maximum and minimum values.

f(-3) ≈ 3.3 x 10^5
f(0) = 0
f(8) ≈ 1.3 x 10^9
f(9) ≈ 4.4 x 10^8

Therefore, the absolute maximum value of f(x) on the interval [-3,9] is approximately 1.3 x 10^9 and the absolute minimum value of f(x) on the interval [-3,9] is 0.

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Answer:

x=31.25

Step-by-step explanation:

250+14h=22h

250=22h-14h

250=8h

h=250/8

h=31.25

The statement "there are 250 degrees in the sum of the interior angles of a polygon" is sometimes true.

In a polygon, the sum of the interior angles depends on the number of sides or vertices it has. The formula to calculate the sum of the interior angles of a polygon is (n-2) * 180 degrees, where 'n' represents the number of sides or vertices.

Let's consider a few examples:

1. Triangle: A triangle has 3 sides or vertices. Using the formula, (3-2) * 180 = 180 degrees. Therefore, the sum of the interior angles of a triangle is always 180 degrees.

2. Quadrilateral: A quadrilateral has 4 sides or vertices. Applying the formula, (4-2) * 180 = 360 degrees. Hence, the sum of the interior angles of a quadrilateral is always 360 degrees.

3. Pentagon: A pentagon has 5 sides or vertices. Using the formula, (5-2) * 180 = 540 degrees. Therefore, the sum of the interior angles of a pentagon is always 540 degrees.

As we can see from these examples, the sum of the interior angles of a polygon can vary depending on the number of sides or vertices it has. So, the statement "there are 250 degrees in the sum of the interior angles of a polygon" is sometimes true, but not always.

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Answer:

hope it helps you......................

Answer:

x = 5

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 8 and h = 15 , then

A = \(\frac{1}{2}\) × 8 × 15 = 4 × 15 = 60 cm²

The area of the rectangle is also 60 cm² , then

length × breadth = 60 , that is

12x = 60 ( divide both sides by 12 )

x = 5

Answer: sarah ran 150 miles in 12 weeks

Step-by-step explanation:

Answer:

The set of all persons in America is a finite set.

The set of all birds in California is a finite set.

Step-by-step explanation: hope those help

Answer: 25.75

Step-by-step explanation: 103 divided by 4 = 25.75

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

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

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.

Explain functiοn.

Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.

Here,

\(= > V(t) = V(0) * e^{(-kt)\)

By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:

\(= > V(1) = 400 = V(0) * e^{(-k1)\)

\(= > V(3) = 100 = V(0) * e^{(-k3)\)

\(= > 100/400 = e^{(-k3) / e^{(-k1)\)

\(= > 1/4 = e^{(-2k)\)

\(= > ln(1/4) = -2k\)

\(= > k = ln(4)/2\)

\(= > k ≈ 0.69315\)

The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):

\(= > V(2) = V(0) * e^{(-k2)\)

\(= > V(4) = V(0) * e^{(-k4)\)

\(= > V(4)/V(2) = e^{(-k4) / e^{(-k2)\)

\(= > V(4)/V(2) = e^{(-2k)\)

\(= > V(4)/V(2) = e^{(-0.69315*2)\)

\(= > V(4)/V(2) =0.5\)

Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:

Ratiο οf decline equals value shift. (time interval)

=>  V(2) - V(4) = (rate οf decline) / (4 - 2)

=>  (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.

=>  (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.

=>  V(2) / 4 equals (rate οf decline)

=>  (rate οf reductiοn) equals 400 / 4

=> rate οf decline) = $100 annually

As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

Step-by-step explanation:

You want three additional equivalent expressions to 6(3x +8) +32 +12x, one of which is the expression in simplest form.

Any expression you write along the path to simplifying the given expression will be an equivalent. Here's one way to get three different expressions:

  6(3x +8) +32 +12x . . . . . . given

  18x +48 +32 +12x . . . . . . eliminate parentheses

  30x +48 +32 . . . . . . . . . . combine x terms

  30x +80 . . . . . . . . . . . . . . combine constants (2 terms)

We can write another equivalent by factoring out a common factor:

  10(3x +8)

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)

where:

Given:

Substitute the given values into the formula and solve for A:

\(\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}\)

\(\implies \sf A=2000(1.0325)^{10}\)

\(\implies \sf A=2753.788608...\)

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

The probability that a single randomly selected nurse's salary is greater than $50,516 is 0.5533 and the probability that a random sample of 95 nurses have a salary greater than $50,516 is 0.9098.

a. To find the probability that a single randomly selected nurse's salary is greater than $50,516, we need to standardize the value using the mean and standard deviation of the distribution, and then use a standard normal table or calculator to find the probability.

The standardized value (z-score) is:

z = (x - μ) / σ = (50,516 - 50,650) / 1,000 = -0.134

Using a standard normal table or calculator, we can find the probability that a randomly selected nurse's salary is greater than $50,516:

P(x > 50,516) = P(z > -0.134) = 0.5517

Therefore, the probability that a single randomly selected nurse's salary is greater than $50,516 is 0.5533.

b. To find the probability that a random sample of 95 nurses have a salary greater than $50,516, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution with mean μ and standard deviation σ/√n, where n is the sample size.

The mean of the sample means is still μ = 50,650, but the standard deviation of the sample means is now:

σ/√n = 1,000 / √95 = 102.06

We want to find the probability that the sample mean is greater than $50,516:

P(x > 50,516) = P(z > (50,516 - 50,650) / (1,000 / √95)) = P(z > -1.335)

Using a standard normal table or calculator, we can find the probability:

P(x > 50,516) = P(z > -1.335) = 0.9098

Therefore, the probability that a random sample of 95 nurses have a salary greater than $50,516 is 0.9098.

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Answer:

c

Step-by-step explanation:

In a uniform probability model, the probability of each outcome occurring is the same. In a non-uniform probability model, the probability of each outcome occurring is not the same.

A uniform probability model is characterized by equal probabilities assigned to each possible outcome. This means that each outcome has an equal chance of occurring. For example, when rolling a fair six-sided die, each number (1, 2, 3, 4, 5, 6) has a probability of 1/6.

On the other hand, a non-uniform probability model assigns different probabilities to different outcomes. This implies that the likelihood of each outcome occurring is not equal. An example could be drawing a card from a well-shuffled deck, where the probability of drawing a specific card (e.g., Ace of Spades) is different from the probability of drawing any other card.


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Answer:

i took k12 and got it right:

Step-by-step explanation:

proof:

Answer:

1. 12 + x = 20        2. x + 8 = 4x + 6

Step-by-step explanation:

problem 1 :      

12 + x = 20

problem 2:

x + 8 = 4x + 6

If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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