find the measure of QP

PLEASE SHOW WORK​

The critical value of the confidence interval is Tc = 2.947

Given data ,

Let the confidence interval value be = 0.99

Now , the sample size is n = 15

And , For a confidence level of c = 0.99 and a sample size of n = 15 (which is relatively small), we will use a two-tailed t-distribution.

Using a t-distribution table or statistical software, the critical value tₓ for a confidence level of 0.99 and a sample size of 15 is approximately 2.947.

Hence , the critical value tₓ for a confidence level c = 0.99 and sample size n = 15 is approximately 2.947

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Expression to represent the area of a right triangle with legs length as 2x-2 and 4x+2 is 4x² - 2x - 2.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given,

legs length of a right angle triangle = 2x-2 and 4x+2

Area of the right angle triangle = (length of leg a × length of leg b)/2

                                                    = (2x-2)(4x + 2)/2

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

                                                    = (x - 1)(4x + 2)

Area of the right angle triangle = 4x² - 2x - 2

Hence, 4x² - 2x - 2 is the expression for area of right triangle.

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Answer:

The slope is 1/2  :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(10 - 4)/(13 - 1) = 6/12 = 1/2 is the slope of the line

The mass of the decoration and of each passenger car are 200 kg and 550 kg, respectively

The given parameters in the question are

These can be represented as

(6, 3500) and (4, 2400)

The slope of the above points represent the mass of each passenger car

This is calculated as

Slope = Difference in mass/Difference in number of cars

So, we have

Slope = (3500 - 2400)/(6 - 4)

Evaluate

Slope = 550

When there are no passenger cars in the train, we have

(0, Mass of decoration)

Using the slope formula, we have

Slope = (Mass of decoration - 3500)/(0 - 6)

So, we have

Slope = (Mass of decoration - 3500)/(-6)

This gives

(Mass of decoration - 3500)/(-6) = 550

Cross multiply

Mass of decoration - 3500 = -3300

Add 3500 to both sides

Mass of decoration = 200

Hence, the mass of each car is 550 kg

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:what

Step-by-step explanation:what does this mean

Answer:

I believe its D and E

Step-by-step explanation:

Does that help

Answer:

\(8x + 7 =15 \\ gx + 2 =4 \\ \)

The number of persons in the line are 39.

According to the statement

We have given that the Mr. George is thirteenth from the top and twenty seventh from the bottom in the queue

And we have to find the number of persons in the queue.

So, For this purpose, we know that the

The given is that the position of the Mr. George is 27 from the last or bottom and

Mr. George is thirteenth from the top.

So, To find the total number of persons in the line we have to add the given numbers, here we have to find the number of persons in queue..

So he has skipped 12 numbers. 27th from bottom means it's 27+12=39 .

It means there are 39 persons in the line.

So, The number of persons in the line are 39.

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Answer: the answer is 48

Step-by-step explanation:

Answer: 48

Step-by-step explanation: A triangles formula is base x height divided by 2, therefore we will do first 8 x 12 which equals 96, and divide by 2, giving us 48.

Values of x for blanks 4 , 1 in inequality .

What in mathematics is an inequality number?

A relationship between two values in an algebraic statement that are not equal is shown by an inequality. One of the two variables on the two sides of the inequality can be represented by an inequality sign as greater than, greater than or equal to, less than, or equal to another value.

                              Despite the equals sign being substituted by an arrowhead, the formula 5x 4 > 2x + 3 resembles an equation. It serves as an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

-3x/4 < 12/1

x < -16

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To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Answer:

2p²-5p+3 is the final answer as they aren't any like terms to collect in order to simply the solution further.

Step-by-step explanation:

Wishing you a splendiferous day,

stay salty...

Answer:

3.20 there is your answer

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

Given that Frame zero, F0 is the fixed global frame.

For each of the cases below find T1

Case (a)

F1 is rotated by an angle θ about zo.

Let O be the origin of the fixed frame F0, A be the origin of the frame F1 and α be the angle between the x-axis of the frame F0 and the projection of the x-axis of the frame F1 on the xy plane of the frame F0.

Let l, m, n be the direction cosines of the vector from O to A, expressed in F0.

The content-loaded frame zero F0 is the fixed global frame, which means that the vectors i, j, k representing the x, y, and z-axis of F0 are fixed and cannot be transformed.

Therefore, the transformation matrix T1:0

in this case is:

`T1:0 = [l1 m1 n1 0; l2 m2 n2 0; l3 m3 n3 0; 0 0 0 1]`

Case (b)

F1 is rotated by θ about xo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

Case (c)

F1 is rotated by θ about yo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Thus, the transformation matrix T1:0

for the three cases (a), (b), and (c) are given as follows:

(a) `T1:0 = [cosθ sinθ 0 0; -sinθ cosθ 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

(c) `T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Given θ = 150,

T1:0 for the three cases are:

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

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The probability that Serena does not serve an ace or a double fault is 0.63..

Addition rule of probability applies to the calculation of probability for one or another event happen. These events are either mutually exclusive or not .

We have following information,

The probability of Serena serving an ace in tennis (p) = 0.15

Probability that she double faults(q) = 0.25

The probability of Serena not serving an ace in tennis = 1 -p = 1 - 0.15 = 0.85

let A and B be two events Serena not serving an ace and she double faults respectively.

Events A and B are not mutually exclusive events .

i.e, P(A ∩ B ) =/ 0

when Serna not serving an ace implies that either it is double faults or not and both have equally likely chance.

So, the probability of intersection of event A and B = 0.85/2 = 0.47

Adding Rule for probabilities is

P(A or B ) = P(A) + P(B) - P(A ∩ B)

The probability that Serena does not serve an ace or a double fault = 0.85 + 0.25 - 0.47

= 1.10 - 0.47 = 0.63...

Hence, the probability that Serena does not serve an ace or double fault is 0.63..

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Surface area of a square pyramid:

To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:

Pythagorean theorem for the right triangle above:

Perimeter of the base is:

Area of the square base:

Then, the surface area of the given pyramid is

the exponential function is n(t) =n° (1+r)∧t, where t is the power refers the time in months after opening and n denotes average customer.

when the rate of increases is occurred very rapidly. In this question, the trendy restaurant has earned reputation.

Given, average number of customers after 11 months of opening = n(11) =310

average number of customers after 15 months of opening= n(15) =456

during this 4 month increases of customer =456 -310 =146

increasing rate of customer per month = 146/4 = 36.5

now increasing rate in percentages = 36.5 %

exponential growth rate, r= 0.365

let, n° is the initial number of customer while opening at t=0 month

now, the exponential function n(t) that model's average number of customers, n after t months of being open will be

  n(t) = n° ( 1+r)∧t

we are given that after 11 months of opening average customer n(11) = 310

now, 310 = n° (1+ 0.365)∧11

n°  = 10

hence, the exponential function = n(t) = 10(1+r)∧t

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The probability that joe and jane end up in the same class is 0.3258 .

In the question ,

it is given that

90 students is to be split into 3 equal size classes , so ,

the three classes  will have 30 students each .

let these classes be Class A , Class B and Class C .

Let Joe and Jane be in Class A .

the total number of ways of selecting 30 students for class A from 90 students is C(90,30) .

Since , we have fixed Joe and Jane in Class A , the remaining 28 spots of class A can be filled by remaining 88 students  in C(88,28) ways ,

So , the probability that Joe and Jane end up in the same class is

= C(88,28)/C(90,30) .

Since there are three  classes ,

the required probability is 3*C(88,28)/C(90,30) .

= 3×\(\frac{88!}{28!*60!}\)×\(\frac{60!*30!}{90!}\)

= 29/89

= 0.3258

Therefore , the probability that joe and jane end up in the same class is 0.3258   .

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under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) \($-(\sqrt[3]{8}) = -2$\)

(b) \($\sqrt[4]{-81}$\) is not a real number

(a) \($-(\sqrt[3]{8})$\):

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because \(2^3 = 8\).

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, \($-(\sqrt[3]{8}) = -2$\).

(b) \($\sqrt[4]{-81}$\):

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

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Answer:

Domain: X coordinates

Range: Y coordinates

Step-by-step explanation:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values). Range: all y-values that are used (dependent values).

Answer:

Step-by-step explanation: $3.02

3 pounds difference

Answer:19. 17 degrees

20. 49 degrees

Step-by-step explanation:

Because of the postulate 50+?=67

So ?=17

And 20.

94+?=143

So

?=49

(Edit)I though you only meant 19 and 20

21. X=8

22. X=12

23.x=8

24.x=7

The system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

The given parameters are

Length = Not more than 12 inches

Perimeter = Less than 30 inches

"Not more than" means less than or equal to

So, we have

l ≤ 12

The perimeter of a rectangle is

P = 2l + 2w

So, we have

2l + 2w = Less than 30 inches

"Less than" is represented with <

So, we have

2l + 2w < 30

Hence, the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

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Answer:

a. I ≤ 12
    2l + 2w < 30

Step-by-step explanation:

i got it right on edge.

The distance between opposite corners of the farmer's rectangular field is 97 yards.

The distance between opposite corners of a rectangular field can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the opposite corners of the rectangular field form the two shorter sides of a right triangle, and the distance between them is the hypotenuse.

To apply the Pythagorean theorem, we can label the length of the field (72 yards) as one side, and the width of the field (65 yards) as the other side. The distance between the opposite corners (the hypotenuse) can then be calculated as follows:

Distance between opposite corners = √(length² + width²)

= √(72² + 65²)

= √(5184 + 4225)

= √9409

= 97

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The following linear equations have no solution.

Since each term in a linear equation has an exponent of 1, an algebraic equation may always be graphed as a straight line. It is known as a "linear equation" because of this.

A linear equation is one that has a maximum degree of 1.

Given,

y=x/2+4 and y=x/2+8

The basic form is y=mx+c.

In this equation m is the slope.

Here both lines have the same slope here, m=1/2 but distinct y-intercepts, it is simple to determine whether the given equation has no solution.

When a problem has no solution, it indicates that the two lines are parallel and never cross.

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Answer:

c = 17

Step-by-step explanation:

(c + 5) : 2 = 11

c + 5 = 22

c = 17

If the arithmetic mean of 5 and c is 11, the value of c is 17.

Arithmetic mean is the best central measure available for representing the values of a data set.  It is also called average of the values of the considered data set.

It serves as predicted value(in case no other information of the data is available) of that data set.

Average provides ill information in case of skewed data.

If the arithmetic mean of 5 and c is 11, then  the value of c.

(c + 5) : 2 = 11

c + 5 = 22

c = 17

Hence, the value of c is 17.

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