A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places.
Lower Limit = _____________?
Upper Limit = _____________?

Step-by-step explanation:

Prime numbers have 2, or less factors.

Composite numbers have 3, or more factors.

Factors are numbers that can be used to multiply towards the given (17).

Factors of 17:

17: 1, 17.

17 has only 2 factors, as 17 is an odd number and it's proven that there's only two factors that multiply to get to 17, 1 and 17.

17 is a prime number, 17 has 2 factors.

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Step-by-step explanation:

Simplify 2(x-6)

2x+2•-6

2x-12

4x+10=2(×-6)=2x-12

43% were from passing so 100% - 43% = 57% came by other means.

28 x 57% = 28 x 0.57 = 16

16 came from different means.

Answer:

e║f.

Step-by-step explanation:

1) the pointed vectors of the given lines are:

for line e: (3-10;5-8)=(-7;-3);

for line f: (10-3;4-1)=(7;3);

2) -7/7=-3/3=-1, it means the lines are parallel.

Answer:

(22/7)²

576/49

is your answer hope it's help u

Answer:

36

Step-by-step explanation:

easier method:

1/2*1/3*1/6=1/36

36 possible outcomes

harder method:

for the tree diagram, draw 2 lines going down, then 3 lines from the end points of the first lines, then 6 lines from the end of those lines.

Answer:

hexagonal shape

Step-by-step explanation:

i am small child from American

sorry for answer

I'm 10 year old

I am born in Nepal

but develop in America

The shapes in the three groups are quadrilaterals

The shapes in group A and B belong to parallelograms and rectangles

From the complete question, we can see that the shapes in the group A have opposite parallel sides and the angle between the adjacent sides is not 90 degrees.,

This means that the shapes in group A are parallelograms

Similarly, the shapes in the group B have opposite parallel sides and the angle between the adjacent sides is 90 degrees.

This means that the shapes in group A are rectangles

Hence, the shapes in group A and B belong to parallelograms and rectangles

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The solution to the given equation 2sin2x = 1 − cos x on the interval [0, 2π) as required is; Choice D; x equals 0 comma 2 times pi over 3 comma 4 times pi over 3.

It follows from the task content that the solutions to the given equation be determined.

On this note, since the give equation is;

2sin²x = 1 − cos x on the interval [0, 2π).

Recall sin²x = 1 − cos²x; therefore we have that;

2 - 2cos²x = 1 - cos x

2cos²x - cos x - 1 = 0.

let y = cos x so that we have;

2y² - y - 1 = 0

x = 1 or x = -1/2.

Therefore; cos x = 1 or cos x = -1/2.

Ultimately, the values of x in the given interval are; 0, 2π/3, 4π/3.

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Answer:

A.  Similar triangles must have the same shape, so the measures of the corresponding angles must be equal to each other.

7 girls own 7 dresses, and each dress has 7 different hats to go with it then the total number of hats are 49.

Calculating the sum of two or more numbers is the process of multiplication. It is stated as "a multiplied by b" when two numbers, let's say "a" and "b," are multiplied.

Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number.

A word problem is a type of mathematics exercise where the majority of the problem's context is supplied in spoken language as opposed to mathematical notation. Most word problems incorporate some type of narrative, hence they are sometimes called "story problems," and the quantity of technical jargon they employ can vary.

Given that 7 girls own 7 dresses, and each dress has 7 different hats to go with it then the total number of hats are:

Hats = (7)(7) = 49.

Hence, there are a total of 49 hats.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Step-by-step explanation:

i dont know

Answer:

B, 5x - 3 = 12

Step-by-step explanation:

3 less means subtracting, it's going to be -3.

It says 3 less than five times a number, meaning we don't know the number, so we can put it as x.

3 less means your subtracting from something, which would make it 5x - 3.

Finally, they state that it equals 12, making the equation 5x - 3 = 12.

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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Answer:

coupon b

Step-by-step explanation:

coupon a gives you a discount of $29.75

and coupon B gives you a discount of $32

Discount is defined as a percentage reduction in the cost of an item.

Rebate is defined as a refund that is partial to a person who has overpaid for an item.

The coupon with the lowest price is Coupon B

From the question: Rachel has two coupons for shoes

Hence: Discount amount is calculated as:

35% x $85 = $29.75.

Therefore the amount Clara is going to pay for the shoes using Coupon A is

$85 - Discount amount

$85 - $29.75

= $55.25

The amount Clara is going to pay for the shoes using Coupon B is :

$85 - $32

= $53

Therefore, the coupon with the lowest price is Coupon B.

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We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.

To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.

The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.

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The average amount of error in the regression line's predicted rotten tomato ratings is typically represented by the root mean squared error (RMSE).

The average amount of error in the regression line's predicted rotten tomato ratings is typically described by the root mean squared error (RMSE). RMSE is a common metric used to evaluate the accuracy of a regression model's predictions. It represents the square root of the average squared differences between the predicted values and the actual values.

By calculating the RMSE for the regression line's predicted rotten tomato ratings, you can determine the average amount of error in those predictions.

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Answer:

The actual answer is C

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

Answer:

n ≤ 25

Step-by-step explanation:

n - 8 ≤ 17

n - 8 (+8) ≤ 17 (+8)

n ≤ 25

n ≤ 25 is your answer

Hope this helps <3

If bx = by in the cross product or vector product, the unit-vector notation of the resulting vector would be (0, 0, 1) or simply k-hat.

In the cross product or vector product of two vectors, the resulting vector is perpendicular to both of the original vectors. The direction of the resulting vector is determined by the right-hand rule, where the thumb represents the direction of the cross product.

If bx = by, it means that the x-component of the first vector is equal to the y-component of the second vector. In this case, the resulting vector will have an x-component and y-component of zero.

Since the resulting vector must be perpendicular to both vectors, its z-component must be non-zero. Therefore, the unit-vector notation of the resulting vector would be (0, 0, 1), where the z-component (k-component) is 1.

If bx = by in the cross product, the resulting vector in unit-vector notation would be (0, 0, 1) or simply k-hat. This indicates that the resulting vector has zero components in the x and y directions and a non-zero component in the z direction.

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Answer:

You divide

Example:

- 5/10= 0,5

-108/30= 3,6

The probability that the time between the next two calls to the emergency 911-call center is between 200 and 400 seconds is approximately 0.1980 or 19.80%.

To find the probability that the time between the next two calls to the emergency 911-call center is between 200 and 400 seconds, we can use the cumulative distribution function (CDF) of the exponential distribution.

The CDF of the exponential distribution is given by:

F(x) = 1 - exp(-x/λ)

where x is the time interval and λ is the rate parameter.

Given that the mean time between calls is 645 seconds, we can calculate the rate parameter λ as follows:

λ = 1 / 645

To find the probability P(200 ≤ x ≤ 400), we can calculate F(400) - F(200), which represents the probability that the time interval falls within this range.

F(400) = 1 - exp(-400/645)

F(200) = 1 - exp(-200/645)

Finally, we can calculate the desired probability:

P(200 ≤ x ≤ 400) = F(400) - F(200) ≈ 0.1980 or 19.80%

Therefore, the probability that the time between the next two calls to the emergency 911-call center is between 200 and 400 seconds is approximately 0.1980 or 19.80%.

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Answer:

Answer:

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

✍ For x :

\({ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin(45 \degree) = \frac{x}{6} }} \\ \\ { \tt{x = 6 \times \sin(45 \degree) }} \\ { \tt{x = 4.24}}\)

✍ For y :

\({ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( 45 \degree) = \frac{y}{6} }} \\ \\ { \tt{y = 6 \times \cos(45 \degree) }} \\ { \tt{y = 4.24}}\)

Answer:

see below

Step-by-step explanation:

this is a 45 90 45-45-90 right triangle. the side is x and the hypotenuse is x*(sqrt(2)). the hypotenuse is 6, so the side is 3(sqrt(2)).

Answer:

total - given, 360 -139 = 221

Answer:

-112

Step-by-step explanation:

Answer:

y = -3x + 5

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer: Depends

Step-by-step explanation: When solving a system using elimination, you may have to multiply both equations by a certain value in order to use the method. However, there are a few instances where you will only need to multiply one. This normally happens when there is a higher multiply representing x or y from one equation to another.