How many pounds are in 2 tons 1, 920 ounces?
A.4, 240 pounds
B.5,920 pounds
C.4, 120 pounds
D.02, 120 pounds

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

Answer:

angle y = 60

Step-by-step explanation:

They are equal due to the rule that vertical angles are always equal

"A pair of vertically opposite angles are always equal to each other."

hope this helps

Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.

Step-by-step explanation: I guessed and got it correct.

The graph representing Sondra's weekly earnings is plotted and attached.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.

Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -

y = 5x + 10.

Refer to the graph attached.

Therefore, the graph representing Sondra's weekly earnings is plotted and attached.

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The solutions to the given system of quadratic equation are x=±3 and y=±4.

The given system of quadratic equations are 2x²-y²=2 ------(i) and x²+y²=25 ------(ii).

From equation (i), we have y²=2x²-2

Substitute y²=2x²-2 in equation (ii), we get

x²+2x²-2=25

3x²=27

x²=27/3

x²=9

x=±√9

x=±3

Substitute x=3 in equation (ii), we get

3²+y²=25

y²=25-9

y²=16

y=±4

Therefore, the solutions to the given system of quadratic equation are x=±3 and y=±4.

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The number of surveyed nurses that were health club members or were smokers is 227.

Let the total number of nurses be 800 nurses

n(U) = 800

Let H be health club members, n(H) = 564

Let S be smokers, n(S) = 430

If 325 of the health club members were smokers, then n(HnS) = 325 members.

The number of surveyed nurses that were health club members or were smokers = 800 - [( 564 - 430) + (564-325)].

The number of surveyed nurses that were health club members or were smokers = 600 - (134+239) = 600 - 373 = 227

The number of surveyed nurses that were health club members or were smokers is 227.

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Answer:

The answer is the length of time in one time interval

Answer: the Markdown rate is 153.55

Step-by-step explanation:

185-34

then that subtract 0.45

Which is Overall

153.55

what do you mean by that?

Answer:

54

Step-by-step explanation:

The LCM of 18 and 27 is 54

Answer:

√61

Step-by-step explanation:

Answer: 2

Step-by-step explanation: use the slope formula y2-y1/x2-x2

-4-4/-2-2=-2

(both equations above should be fractions when read)

Answer:

implicit array sizing

Step-by-step explanation:

The statement "int grades[] = { 100, 90, 99, 80 };" initializes an integer array called "grades" with the values 100, 90, 99, and 80. The given statement is an example of initializing an integer array in C++.

The array is named "grades" and has an unspecified size denoted by the empty square brackets []. The values inside the curly braces { } represent the initial values of the array elements.

In this case, the array "grades" is initialized with four elements: 100, 90, 99, and 80. The first element of the array, grades[0], is assigned the value 100, the second element, grades[1], is assigned 90, the third element, grades[2], is assigned 99, and the fourth element, grades[3], is assigned 80.

The array can be accessed and manipulated using its index values. This type of initialization allows you to assign initial values to an exhibition during its declaration conveniently.

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The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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So, if we know the dimensions of the rectangular prism, we can find its total surface area in square inches by using the above formula.

To find the surface area of a rectangular prism, we need to add up the areas of all six faces. We can use the net of the rectangular prism to determine the areas of each face.

Let's assume the rectangular prism has the following dimensions: length = L inches, width = W inches, and height = H inches.

The net of a rectangular prism consists of six rectangles:

The top and bottom faces are both rectangles with length L and width W, so each has an area of LW.

The front and back faces are both rectangles with length L and height H, so each has an area of LH.

The left and right faces are both rectangles with width W and height H, so each has an area of WH.

Therefore, the total surface area of the rectangular prism is:

2LW + 2LH + 2WH

Substituting the dimensions of the rectangular prism, we get:

Total surface area = 2(LW + LH + WH) square inches

So, if we know the dimensions of the rectangular prism, we can find its total surface area in square inches by using the above formula.

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Answer:

The tallest player on the team was 78 inches tall

Step-by-step explanation:

Labor productivity in this case is equal to 10 baskets.

When eight weavers are employed, and output is 80 baskets, labor productivity is equal to 10 baskets.

A labor productivity measure is a way of estimating the amount of output generated per unit of labor.

The following formula is used to calculate labor productivity:

                               Total output produced / Total number of workers involved in the production.  

Therefore, in this case, labor productivity will be equal to the total output produced divided by the total number of weavers employed.

Mathematically, Labor productivity = Total output produced / Total number of weavers employed

Given,The number of weavers employed, n = 8Output produced, Y = 80 baskets

Substitute the above values into the formula for labor productivity,

                        Labor productivity = Total output produced / Total number of weavers employed

                                                   = 80 / 8= 10

Thus, labor productivity in this case is equal to 10 baskets.

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Answer:

Step-by-step explanation:

6x+1=-6(1-x)

6x+1=-6+6x

6x+7=6x

7=0

no solution

True. Seasonality refers to a regular, repeating pattern in the data that takes longer than one year to complete. It can occur in various forms such as monthly, quarterly, or even weekly patterns.

These patterns are usually associated with external factors such as weather, holidays, or other events that influence consumer behavior. By identifying seasonality in the data, businesses can use it to predict future trends and adjust their strategies accordingly. This information can be valuable in a range of industries such as retail, tourism, and agriculture.

Overall, understanding the repeating patterns in data is essential for making informed decisions and staying ahead of the competition.

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Answer:

4.9 cm

Step-by-step explanation:

To solve this problem you would use the power of a point formula where two chords intersect in the interior of a circle. We get the equation:

7 * 7 = 10 *x

49 = 10x

x = 4.9 cm

Answer:

x = 4

Step-by-step explanation:

the first line (7cm and 7 cm) are the diameter. You add both numbers to get the diameter which would be 14. Then then next line (10 cm and x) would be the diameter as well. You can create an equation for this (10 + x = 14).

Subtract 14-10 and you get 4. Therefore x = 4

Stabilizing selection is occurring because the average is favored.

If its the same graph im thinking of.

The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, On this graph we can observe the workings of the stabilizing selection.

Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.

Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.

Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.

Thus, The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

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Answer: 124º

Step-by-step explanation: Since RQO forms an isoceles triangle (this is because diagonals bisect each other, making diagonals congruent which forms the isoceles triangle), <QRO and <RQO are congruent, so <RQO is also 62º. This would mean that <QOR is 56º (all angles in a triangle have a sum of 180º). Since <QOR and <SOR form a linear pair, they are supplementary, meaning that they have a sum of 180º. 180 - 56 - 124º, so the size of the obtuse angle between the diagonals is 124º.

Answer:

Vertex form is f(t) = 4 \((t-1)^{2}\) +3 and vertex is (1, 3).

Step-by-step explanation:

It is given that f(t)= 4 \(t^{2}\) -8 t+7

Let's use completing square method to rewrite it in vertex form.

Subtract both sides 7

f(t)-7 = 4 \(t^{2}\) -8t

Factor the 4 on the right side.

f(t) -7 = 4( \(t^{2}\) - 2 t)

Now, let's find the third term using formula \((\frac{b}{2} )^{2}\)

Where 'b' is coefficient of 't' term here.

So, b=-2

Find third term using the formula,

\((\frac{-2}{2} )^{2}\) which is equal to 1.

So, add 1 within the parentheses. It is same as adding  4 because we have '4' outside the ( ). So, add 4 on the left side of the equation.

So, we get

f(t) -7 +4 = 4( \(t^{2}\) -2 t +1)

We can factor the right side as,

f(t) -3 = 4 \((t-1)^{2}\)

Add both sides 3.

f(t) = 4\((t-1)^{2}\) +3

This is the vertex form.

So, vertex is (1, 3)

Answer:

Length: 19 feet

Width: 10 feet

Area: 190 feet

Step-by-step explanation:

Denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is is (a) nΣIn(Xj).

The likelihood function for θ can be written as:

L(θ|x1,x2,...,xn) = f(x1;θ) * f(x2;θ) * ... * f(xn;θ)

Taking the logarithm of the likelihood function and simplifying, we get:

log L(θ|x1,x2,...,xn) = nθ log(θ+1) + (n log θ) - (n log 10)

To find the maximum likelihood estimator of θ, we need to find the value of θ that maximizes the likelihood function. This can be done by taking the derivative of the log likelihood function with respect to θ and setting it equal to zero:

d/dθ (log L(θ|x1,x2,...,xn)) = n/(θ+1) + n/θ = 0

Solving for θ, we get:

θ = -n/(ΣIn(Xj))

Substituting the given values of x1, x2, ..., xn, we get:

θ = -10/(ln(0.45) + ln(0.79) + ln(0.95) + ln(0.90) + ln(0.73) + ln(0.86) + ln(0.92) + ln(0.94) + ln(0.65) + ln(0.79))

θ ≈ -10/(-2.3295) ≈ 4.2908

Therefore, the maximum likelihood estimator of θ is (a) nΣIn(Xj) ≈ 10(-2.3295) = -23.295.

The maximum likelihood estimator of θ is obtained by taking the derivative of the log likelihood function and setting it equal to zero. The maximum likelihood estimator of θ for the given data is (a) nΣIn(Xj) ≈ -23.295.

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My friend consumed 8 donuts in one sitting. 8 donuts is a lower bound on how many donuts he is physically capable of eating in one sitting option A.

An element of K that is bigger than or equal to each member of S is referred to as an upper limit or majorant of a subset S of some preordered set (K, ) in mathematics, notably in order theory. In addition, each element of K that is smaller than or equal to each element of S is characterised as a lower limit or minorant of S.

A set that has an upper (or lower) bound is referred to as being majorized (or minorized), bounded from above, or minorized by that bound. In the mathematical literature, sets that have upper (or lower, respectively) limits are referred to as being bounded above (or below).

Friend consumed 8 doughnuts. So it is

lower bound on how can eat in a sitting.

Many donuts he lower bound is the lowest quantity in a set, as in our.

example, we definitely know he can eat 8 of them. We don't know how many more can be eat (upper bound) or is it exact amount be can eat.

Hence option (a) is correct.

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The inverse Laplace transform of f(s) = 6! /(s-6)³is t³ × e²(6t).

To find the inverse Laplace transform of the function f(s) = 6! /(s-6)³,  use the formula for the inverse Laplace transform of a function in the form of a power of (s-a), where a is a constant.

The inverse Laplace transform of (s-a)²n, where n is a positive integer, is given by:

L²(-1) {(s-a)²n} = t²n × e²(at)

Applying this formula to our function, where a = 6 and n = 7,

L²(-1) {6! /(s-6)³} = t³ × e²(6t)

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Answer:

There is a 31/32 chance of having at least one boy