a food delivery service manager would like to estimate the mean amount of time it takes employees of his company to deliver food to the customers. to do so, he selects a random sample of 10 deliveries from the large number of deliveries made and records the amount of time each of those deliveries took. are the conditions for constructing a t confidence interval met?

The probability of picking all 6 numbers correctly are 1 in 1,947,792.

1 in 32 x 1 in 31 x 1 in 30 x 1 in 29 x 1 in 28 x 1 in 20

= 1 in 1,947,792

Hannah's chances of picking all 6 numbers correctly are 1 in 1,947,792. This is calculated by taking the odds of correctly picking each number and multiplying them together. The odds of correctly picking the first number is 1 in 32, the second number is 1 in 31 (as one of the numbers has already been selected), the third 1 in 30, fourth 1 in 29, fifth 1 in 28, and finally the bonus number is 1 in 20. When all of these odds are multiplied together, the total odds of correctly picking all 6 numbers is 1 in 1,947,792. This means that there is a very small chance of Hannah picking all of the numbers correctly, but it is still possible.

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Answer:

He was driving at 66 2/3 miles per hour

Step-by-step explanation:

200/3 = 66 2/3

No, the city will not allow the tree to grow 2} more feet.

The telephone wire is a safety hazard, so the city trims back the branch so that it does not come closer than 2 feet to the wire. To calculate if the tree can grow 2} more feet, we need to find out how far the branch is currently from the wire and subtract 2 feet.

Let x = the current distance of the branch from the wire

51 - x = 2

x = 49 feet

Therefore, the branch is currently 49 feet away from the wire, which is less than 2} feet. Since the city trims back the branch when it grows closer than 2 feet to the wire, the city will not allow the tree to grow 2} more feet.

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Given that it regularly overstated the population minimum, sample minimum looks to be a biased estimator.

a measurement made using sample data that consistently underestimates or overestimates the real quantity in the target population. A biassed estimator, then, is one whose average value deviates from the value of the parameter it claims to represent. referred to as a skewed statistic.

When the anticipated value of the estimator equals the parameter value, the estimator is considered to be unbiased if its bias is equal to zero for all values of the parameter.

An estimate is considered biassed when it deviates from the genuine population value. When an estimator stays faithful to the population parameter, it is said to be unbiased.

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The complete question is as follows:

The given vector is v = -3 4 -1 0. The given vector is not in the range of t(x).

To determine if this vector is in the range of t(x) = ax where a = 1 -2 0 3 2 1, we need to check if there exists a vector x such that t(x) = ax = v. This can be represented as the following equation:

1x1 - 2x2 + 0x3 + 3x4 + 2x5 + 1x6 = -3

We can solve this equation using Gaussian elimination. After row operations, we can obtain the following reduced row-echelon form:

1 0 0 0 0 3/2 = -3

Since the left-hand side does not equal the right-hand side, we can conclude that the given vector is not in the range of t(x).

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It takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.

In this problem, we are given the radius of the circular green (30 feet) and the speed of the ball (11 ft/sec). We are also given a diagram of the ball's starting point and the location of the cup, which is at the origin of the xy-coordinate system.

We can introduce coordinates by assigning the x-coordinate to be the horizontal distance from the cup (the origin) and the y-coordinate to be the vertical distance from the cup.

From the given diagram, we can see that the ball's starting point is at (x,y) = (-15, -18). The cup is at (0,0). We are asked to find the time it takes for the ball to reach the right-most edge of the green.

To find this, we first need to find the distance between the ball's starting point and the right-most edge of the green. We can use the Pythagorean theorem to do this:

d = √((x2-x1)^2 + (y2-y1)^2) = √((15)^2 + (18)^2) = 21

Now that we have the distance, we can use the formula:

time = distance / speed = 21 / 11 = 1.909 sec (approx)

So it takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.

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The domain of f(x) = -√x² - 4 is x ≥ 2 or x ≤ -2

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. The chosen x-value is referred to as being in the domain of f if a function f successfully produces a single value y using a value for x.

In the given question,

the domain of f(x) = -√x² - 4.

x ≥ 2 or x ≤ -2

all real numbers

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The equation for the line of best fit that predicts how much money travelers will spend in 2008 is y = 20x + 320.

What is the equation of the line?

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y-intercept (the point at which the line crosses the y -axis).

This is a linear function,

let's say the equation is y =ax + b,

the points (1.5, 350) and (4, 400)

a = (400-350) /(4 - 1.5)

= 50/2.5

= 20

y = 20x + b,

350 = 20(1.5) + b

350 = 30 + b

350 -30 = b

b = 320

y = 20x + 320

so, in 2008,

x =15,

y = 20(15) + 320 = 300 + 320 = 620

Hence, the equation for the line of best fit that predicts how much money travelers will spend in 2008 is y = 20x + 320.

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The two solutions for x are x = -4 + 4i and x = -4 - 4i. These solutions are in standard form, as required.

The given equation is a quadratic equation in x, of the form ax2 + bx + c = 0, where a = 1, b = 8 and c = 20.

To solve this equation, we use the quadratic formula, which states that the two roots of the equation are:

x = [-b ± √(b2 - 4ac)] / 2a

Since a = 1, the formula simplifies to:

x = [-8 ± √(82 - 4(1)(20))] / 2

Substituting the values for a, b and c, we get:

x = [-8 ± √(-64)] / 2

Taking the positive and negative square roots of -64, we get:

x = [-8 ± 8i] / 2

Simplifying, we get:

x = -4 ± 4i

Therefore, the two solutions for x are x = -4 + 4i and x = -4 - 4i. These solutions are in standard form, as required.

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The measure of angle ∠LMN = 105°

What is a parallelogram?

A parallelogram is a quadrilateral, which is a four-sided polygon, with opposite sides that are parallel. Additionally, opposite angles in a parallelogram are congruent (equal in measure). So, if a figure has parallel opposite sides and congruent opposite angles, then it is called a parallelogram.

In the given figure, quadrilateral LMNO is a parallelogram in which ∠L = 25x° and ∠MNO = (22x + 9)°

We have get the measurement of ∠LMN

Since in a parallelogram opposite angles are equal.

Therefore 25x = 22x + 9

25x - 22x = 9

3x = 9

x = 3

From another property of a parallelogram, we know that consecutive angles are supplementary.

∠LMN + ∠ONM = 180°

∠LMN = 180 - ∠OLM = 180 - (25x) = 180 - (25×3)

∠LMN = 180 - 75 = 105°

Hence, the measure of angle ∠LMN = 105°

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Answer:

29/14

Explanataion:

The expression 2x cos 6x can be rewritten using product to sum identities as 1/2(cos(8x) + cos(-4x))

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

The product to sum identities we are going to need in this case is given by the formula:

cos(a) cos(b) = 1/2 (cos(a+b) + cos(a-b))

Since we have cos 2x cos 6x. Thus:

cos 2x cos 6x = 1/2 (cos(2x+6x) + cos(2x-6x))

                       = 1/2 (cos(8x) + cos(-4x))

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x questions are the leaves and 4 of the following words in sentence of your own experience are the plants that are the plants that are the plants that are the plants that are

Ella has 5.7 pounds of flour, and needs 0.6 of a pound of flour for each cake. This mean that she can bake a total of 9 cakes.

Step 1: Ella has 5.7 pounds of flour

Step 2: Each cake requires 0.6 of a pound of flour

Step 3: 5.7/0.6 = 9.5 (rounded down to 9)

Step 4: Ella can bake 9 cakes

Ella has 5.7 pounds of flour which she wants to use for baking cakes. Each cake requires 0.6 of a pound of flour, so to figure out how many cakes she can make, we need to divide the amount of flour she has by the amount of flour needed for one cake. 5.7/0.6 = 9.5 (rounded down to 9), so Ella can bake 9 cakes. This is because the 0.5 of a pound of flour leftover is not enough to make an entire cake, so it is discarded. This means that Ella can make 9 cakes with the 5.7 pounds of flour she has.

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Answer:

Step-by-step explanation:

The formula for calculating the time it will take for an investment to reach a certain amount given a rate of return and regular withdrawals is:

Time = (ln(Final Balance/Initial Balance))/(ln(1 + Rate of Return))

In this case, the Initial Balance is $100,000, the Final Balance is $0, and the Rate of Return is 2.66%.

Time = (ln(0/100000))/(ln(1 + 0.0266))

Time = (-11.51)/(0.026101)

Time = -440.17

Since the time is given in years, we need to round the answer to the nearest year.

Answer: It will take 440 years for the account to have a balance of $0.

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

If this drawing is proportional, we can see that 12 was divided by 2 to get 6. We can do the same to 8.

8 ÷ 2 = 4

The width of the new drawing is 4.

The total balance in John's account after depositing his paycheck is, 800.47.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The balance in John's account before depositing his paycheck = 249.50

And, He deposit 550.97 in his account.

Here, The balance in John's account before depositing his paycheck = 249.50

Hence, The total balance in John's account after depositing his paycheck is,

⇒ 249.50 + 550.97

⇒ 800.47

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[tex]\hspace{13em} \begin{array}{cll} term&value\\ \cline{1-2} a_5&16\\ a_6&16r\\ a_7&16rr\\ a_8&16rrr\\ a_9&16rrrr\\ a_{10}&16rrrrr=\frac{1}{2}\\ a_{11}&\frac{1}{2}r\\ a_{12}&\frac{1}{2}rr \end{array}~\hfill \\\\\\ 16r^5=\cfrac{1}{2}\implies r^5=\cfrac{1}{32}\implies r=\sqrt[5]{\cfrac{1}{32}}\implies r=\cfrac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ a_{12}=\cfrac{1}{2}rr\implies a_{12}=\cfrac{1}{2}r^2\implies a_{12}=\cfrac{1}{2}\left( \cfrac{1}{2} \right)^2\implies a_{12}=\cfrac{1}{8}[/tex]

To find the inverse of a fraction using cross multiplication, you first need to understand what the inverse of a fraction is. The inverse of a fraction is another fraction that, when multiplied by the original fraction, equals 1.

For example, the inverse of 3/4 is 4/3, because 3/4 x 4/3 = 1.

To find the inverse of a fraction using cross multiplication, you will need to use the property that if a/b = c/d, then a x d = b x c. To find the inverse of a fraction, you simply swap the numerator and denominator and multiply them together.

For example, to find the inverse of 3/4, you would swap the numerator and denominator to get 4/3, and then multiply them together to get 1.

So the steps would be:

It is important to note that if the original fraction is a whole number, it's inverse will be 1 over the whole number.

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Complete question:

Attempt to find the inverse of a fraction using cross - multiplying . please describe the method of finding the inverse.

For: The basis step to prove P(k) is that at k = 1, _____ is true. for series .

What is series and sequence?

The foundational concepts in arithmetic are sequence and series. A sequence is an ordered collection of components where repetitions of any kind are permitted, but a series is the accumulation of all elements.    

                          One of the many illustrations of a sequence or series is a mathematical progression.

Let P(k) be a statement that 1/1*2+1/2*3+ ... + 1/k*(k+1)=

 The basis step to prove P(k) is that at k = 1, _____ is true.

Basic step - P(1) is true,

     to show that 1/1.2 = 1/1+1

      the left hand side of the equation is  1/1.2 = 1/2 right hand side

  1/1 + 1 = 1/2

   1/2  = 1/2

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The probability that both lights showed red is given as follows:

3/5.

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have to find the correct nodes in the tree that result in both crossings red, and their probabilities.

For the first crossing, the probability of red is given as follows:

4/5.

For the second crossing, the probability of red is given as follows:

3/4.

Hence the probability of red in both lights is given as follows:

4/5 x 3/4 = 3/5.

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The number of times an analog wave is measured each second during an analog-to-digital conversion is known as the sampling rate. Generally, the sampling rate should be at least twice the highest frequency present in the signal, in order to accurately capture the signal in the digital domain.

An analog-to-digital conversion is the process of converting an analog signal (such as a sound wave or radio wave) into a digital signal. The number of times an analog wave is measured each second during the conversion process is known as the sampling rate. In order to accurately capture the signal in the digital domain, the sampling rate should generally be at least twice the highest frequency present in the signal. The higher the sampling rate, the more accurately the signal will be recorded. For example, CD quality audio has a sampling rate of 44.1 kHz, meaning that 44,100 samples are taken of the analog signal each second.

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Answer: A

Step-by-step explanation:

In the right triangle the value of x is solved to be  4

The figure attached is a right triangle and the value of x can be worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The problem is described in a right angle triangle as below

hypotenuse = x

adjacent = 10 miles

The value of x is calculated using cos, CAH

cos 60 = Adjacent / hypotenuse

cos 60 = 2 / x

x = 2 / cos 60

x = 4

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Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.

The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.

Here,

Given :

Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).

In order to determine what data they use,

From the information provided, it is clear that they are using second-party data.

Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.

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Using the property of exponents the numbers are determined as follows

5. x = 9

6. b = -4

7. n = 0

An exponential equation can be solved using the same bases because to the property of equality of exponential functions. It states that if all sides of an exponential equation have identical bases, then the exponents must likewise be equal.

The property is applied in the following equations

5. 8² * 8ˣ = 8¹¹

equating the powers

2 + x = 11

x = 11 - 2

x = 9

6. 5⁷ * 5ᵇ = 5³

equating the powers

7 + b = 3

b = 3 - 7

b = -4

7. x¹² * xⁿ = x¹²

equating the powers

12 + n = 12

n = 12 - 12

n = 0

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The inverse function of tangent (tan^-1) is also known as arctangent. The domain of arctangent function is all real numbers and its range is (-π/2, π/2).

The tangent function, tan(x), is defined for all real numbers x, but it's not defined when x = (nπ + π/2), where n is an integer. So the domain of the tangent function is all real numbers except (nπ + π/2), where n is an integer.

When we take the inverse of a function, we switch the roles of the domain and range, so the domain of the tangent function becomes the range of the inverse function and the range of the tangent function becomes the domain of the inverse function. The range of the tangent function is all real numbers, but it is not defined for (nπ + π/2), where n is an integer. So the domain of the arctangent function is all real numbers except (nπ + π/2), where n is an integer.

The range of arctangent function is (-π/2, π/2) because the range of arctangent function is the set of all possible values of the input of tangent function for which it is defined.

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The distance that is covered is directly proportional to the time. This is true

The relationship between two quantities where their ratio equals a constant value is known as a direct proportion or direct variation. When the ratio x:y is constant, two values, x and y, are said to be directly proportional to one another.

It should be noted that there are two main types of proportionality with are direct proportion and inverse proportion. In this case, two variables x and y are said to be in direct proportion when y ∝ x (or x ∝ y). This implies, y = kx, for a constant k. While two variables x and y are said to be in inverse proportion if y ∝ 1/x (or x ∝ 1/y).

Regarding the question There's a first proportion. This will be:

2/1 = 4/2

= 2

The constant of proportionality is 2.

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The ratio of the number of fallen dominoes to the number of dominoes still standing is 34 : 15

Ratio refers to a number representing a comparison between two or more quantities.

Number of Austen's dominoes that are standing = 15

Number of Austen's dominoes that have fallen over= 34

The ratio of the number of fallen dominoes to the number of dominoes still standing = 34 : 15

Therefore, 34 : 15 is the ratio of fallen dominoes to standing dominoes.

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Answer:

1

Step-by-step explanation:

PEMDAS?  omg

Parenthesis, Exponents, Multiplication, Division ,Addition ,Subtraction

so we gon solve the parenthesis first. Basically, we will subtract 1 from 2.

(2-1)= 1

after dis we do dah exponents. we put 1 to the power of 6. 1*1*1*1*1*1= 1

1 to the 6th power is 1 :o