75÷4= how much money did they have

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

131

Step-by-step explanation:

The n th term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 38 and a₈₅ = 257 , then

a₁ +11d = 38 → (1)

a₁ + 84d = 257 → (2)

Subtract (1) from (2) term by term

73d = 219 ( divide both sides by 73 )

d = 3

Substitute d = 3 into (1)

a₁ + 11(3) = 38

a₁ + 33 = 38 ( subtract 33 from both sides )

a₁ = 5

Thus

5 + 3(n - 1) = 395 ( subtract 5 from both sides )

3(n - 1) = 390 ( divide both sides by 3 )

n - 1 = 130 ( add 1 to both sides )

n = 131

Thus there are 131 terms in the sequence

To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = (M * c) / (I * y)

Where:

σ is the bending stress

M is the bending moment

c is the distance from the neutral axis to the outermost fiber

I is the moment of inertia of the cross-section

y is the perpendicular distance from the neutral axis to the point where the stress is being calculated

Given:

M = -1000 lbf.in

σ = 32 kpsi = 32,000 psi

Strength = 25 kpsi

Design factor = 2.5

First, we need to convert the bending moment to pound-force feet (lbf.ft):

M = -1000 lbf.in = -83.33 lbf.ft (1 lbf.in = 0.0833 lbf.ft)

Next, we can rearrange the bending stress formula to solve for the moment of inertia (I):

I = (M * c) / (σ * y)

Since we are looking for the minimum diameter, we want to minimize the moment of inertia. This occurs when the rod is a solid cylinder with its maximum diameter.

The moment of inertia of a solid circular rod is given by the formula:

I = (π * d^4) / 64

Substituting the formulas and given values, we can solve for the minimum diameter (d):

(π * d^4) / 64 = (M * c) / (σ * y)

d^4 = (64 * M * c) / (π * σ * y)

d = ∛((64 * M * c) / (π * σ * y))^0.25

Once we have the minimum diameter (d), we can select a preferred fractional diameter from the table provided and calculate the resulting factor of safety using the formula:

Factor of Safety = (Strength * Design Factor) / σ

Please provide the values of c, y, and the preferred fractional diameter from the table so that I can help you with the calculations.

The minimum diameter of the rod is approximately 1.37 inches.A preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

a) To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = M / (0.25 * π * (d^3))

Rearranging the formula, we have:

d^3 = M / (0.25 * π * σ)

Substituting the given values, we get:

d^3 = 1000 / (0.25 * π * 32)

Solving for d, we find:

d ≈ 1.37 inches

Therefore, the minimum diameter of the rod is approximately 1.37 inches.

b) To select a preferred fractional diameter and calculate the resulting factor of safety, we need to compare the calculated stress with the material strength and design factor.

Given the stress σ = 32 kpsi and a material strength of 25 kpsi, we can calculate the factor of safety:

Factor of Safety = (Material Strength) / (Design Stress)

Factor of Safety = 25 / 32

Factor of Safety ≈ 0.78125

Referring to the provided table, we can choose a preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

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Answer:

17

Step-by-step explanation:

17 x 5= 85

The type of hypothesis test would be the best to compare these ratings are that it is sample test.

The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.

The Independent Samples t Test is a parametric test. This test is also known as: Independent t Test.In independent samples (or unpaired sample), the values come from two or more different groups. For example, if the group of men and the group of women are asked about their income, independent samples exist. In this case, a person from one sample cannot be assigned to a person from the other sample

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Answer:

yes thats your answer

Step-by-step explanation:

Answer:

m = 80

Step-by-step explanation:

40 = \(\frac{m}{2}\) ( multiply both sides by 2 )

80 = m

The alternate hypothesis, also known as the alternative hypothesis, is a statement that contradicts or challenges the null hypothesis. It is a fundamental component of hypothesis testing in statistics and scientific research.

The alternate hypothesis represents the researcher's belief or expectation that there is a significant relationship, difference, or effect between variables being studied.

In hypothesis testing, the null hypothesis assumes that there is no significant relationship or difference between variables, while the alternate hypothesis proposes otherwise. The alternate hypothesis is typically the hypothesis of interest, as it represents the researcher's hypothesis that there is a meaningful effect or relationship to be discovered.

The alternate hypothesis is designed to be tested against the null hypothesis using statistical methods. The goal is to gather evidence and evaluate whether the data provide enough support to reject the null hypothesis in favor of the alternate hypothesis. If the evidence is statistically significant, meaning that it is highly unlikely to have occurred by chance, then the null hypothesis is rejected, and the alternate hypothesis is accepted.

The alternate hypothesis plays a crucial role in hypothesis testing, as it guides the research and provides a specific direction for investigation. It represents the researcher's expectation or hypothesis about the relationship between variables, and the statistical analysis aims to either support or refute this hypothesis based on the collected data.

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Answer: 26

Step-by-step explanation: 2 sides are 8 and 2 sides are 5. 5 plus 5 equals 10 and 8 plus 8 equals 16. Finally, 16 plus 10 is 26. Hope this helps! And I would really appreciate getting brainliest if I get it it right!

Answer

i think 1600

Step-by-step explanation:

it maybe 1600 bc if you times 5 and 8 two times you get that answer  i am not smart but maybe

To compute the present value of $1,000 discounted at the rate of 5% per year, to be received at the end of 3 years, you should enter the variables N=3, i=5, and FV=1000 into a financial calculator.

The correct option is B) N=3, i=5, FV=1000.

In finance, the present value (PV) represents the current worth of a future cash flow, considering the time value of money. To calculate the present value, we need to know the future value (FV), the interest rate (i), and the number of periods (N). By entering N=3 (3 years), i=5 (5% per year), and FV=1000 ($1,000).

the financial calculator will compute the present value, which represents the amount that is equivalent to $1,000 in the future, discounted at a 5% interest rate over 3 years.

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445 .                       Answer:

Step-by-step explanation:

The shortest length of fence is thus equal to P1 = x + 1,300,000/x.

Let the width of the rectangular field be "x" feet and the length be "y" feet, then the area of the field, A = x y square feet. The area of the field is given as 1,300,000 square feet, so we can write; x  y = 1,300,000 Therefore, y = 1,300,000/x feet. Now, if we divide the rectangular field into two halves parallel to one side, we can write the new dimensions of each half as follows: Half 1: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x Half 2: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x

The total length of fence needed to enclose the rectangular field is given by; P = 2x + 2y = 2x + 2(1,300,000/x)P = 2x + 2(1,300,000/x)The total length of fence needed to divide the rectangular field into two halves is given by;P1 = x + 2(650,000/x)P1 = x + 1,300,000/x Thus, the shortest length of fence that the rancher can use is the length of the fence needed to divide the field into two halves. Therefore;P1 = x + 1,300,000/x.

The shortest length of fence is thus equal to P1 = x + 1,300,000/x.

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To calculate MAP, you will need to know both the systolic and diastolic blood pressures.

MAP, or mean arterial pressure, is a measure of the average blood pressure in the arterial system. It is calculated by taking into account both the systolic and diastolic blood pressures. BP, or blood pressure, is the measure of the force of blood against the walls of the arteries as it is pumped by the heart. Blood pressure is measured in millimeters of mercury (mmHg) and is expressed as two numbers, with the systolic pressure (the higher number) measured first and the diastolic pressure (the lower number) measured second. For example, a blood pressure reading of 120/80 mmHg would be expressed as "120 over 80."

The formula for MAP is: MAP = (2 x diastolic blood pressure) + systolic blood pressure / 3

For example, if the systolic blood pressure is 120 mmHg and the diastolic blood pressure is 80 mmHg, the MAP would be calculated as: MAP = (2 x 80) + 120 / 3 = 80 + 40 + 120 / 3 = 100 mmHg

It's important to note that the MAP is not an actual measurement that is taken directly but it is calculated from the systolic and diastolic pressure.

It's also important to note that MAP is not the only parameter to evaluate the cardiovascular function, other parameters like heart rate, cardiac output, and others are also important. In addition, the normal MAP values vary based on different factors such as age, sex, and other health conditions.

In summary, Mean arterial pressure (MAP) is a measure of the average blood pressure in the arterial system, which is calculated by taking into account both the systolic and diastolic blood pressures. The formula for MAP is: MAP = (2 x diastolic blood pressure) + systolic blood pressure / 3. It's important to note that the MAP is not an actual measurement that is taken directly but it is calculated from the systolic and diastolic pressure and MAP is not the only parameter to evaluate the cardiovascular function.

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The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4= 3/4

1 - 3/4 = 1/4 is left

Answer:

There is 1/4 left

Step-by-step explanation:

Find the amount of cake left.

The entire cake is 1

1-1/2 - 1/4

Get a common denominator of 4

1 *4/4 = 4/4

1/2 *2/2 = 2/4

Using the common denominator

4/4 - 2/4 - 1/4

2/4 - 1/4

1/4

There is 1/4 left

The expected value of the minimum of two cards drawn with replacement from a standard deck is 6.96.

We can approach this problem by finding the probability distribution of the minimum card value. Let X be the value of the first card and Y be the value of the second card. Then the minimum card value, Z, is given by Z = min(X,Y).

To find the probability distribution of Z, we can use the fact that P(Z > z) = P(X > z)P(Y > z), where z is any card value. Since each card has an equal probability of being drawn, we have P(X > z) = P(Y > z) = (14-z)/13, for z = 1,2,...,13 (note that we include 14 because aces count as 1).

Therefore, the probability distribution of Z is given by:

P(Z = 1) = (1/13)^2

P(Z = 2) = 2(2/13)(11/13)

P(Z = 3) = 2(3/13)(10/13)

P(Z = 4) = 2(4/13)(9/13)

P(Z = 5) = 2(5/13)(8/13)

P(Z = 6) = 2(6/13)(7/13)

P(Z = 7) = 2(7/13)(6/13)

P(Z = 8) = 2(8/13)(5/13)

P(Z = 9) = 2(9/13)(4/13)

P(Z = 10) = 2(10/13)(3/13)

P(Z = 11) = 2(11/13)(2/13)

P(Z = 12) = 2(12/13)(1/13)

P(Z = 13) = (13/13)^2

The expected value of Z is then given by:

\(E(Z) = 1(1/169) + 2(44/169) + 3(60/169) + 4(72/169) + 5(80/169) + 6(84/169) + 7(84/169) + 8(80/169) + 9(72/169) + 10(60/169) + 11(44/169) + 12(24/169) + 13(1/169)\)

E(Z) = 6.96

Therefore, the expected value of the minimum card value is 6.96.

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Answer:well what is it

Step-by-step explanation:

Answer:

F = 0

Step-by-step explanation:

The Appalachian Trail is a continuous hiking trail that passes through 14 states in the US.

The histogram shows the length of the trail through each state. 

Frequency

What interval contains the 50th percentile for this data?

Options

a) 0 to 0 100 miles

b) 100 to 200 miles

c) 200 to 300 miles

d) 500 to 600 miles

14 states, the 50th percentile = 7/14

_____________________

Answer

The 50th percentile for this data 0 to 0 100 miles

___________________________

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She can choose three books in 54 ways

What is permutation?

Permutation is a technique involving in which a set or number of things can be ordered or arranged. We use permutation to solve and compute answers

We are given that, Josephine has three chemistry books, three history books, and nine statistics books

She has to choose one from each subject

Firstly She has 3 chemistry books

This can be selected in 3 ways

Then She has 3 history books

This can be selected in 3 ways

Ans finally she has 9 statistics books

This can be selected in 9 ways

Hence total ways in which she can select 3 books is 3*3*9= 54 ways

Hence in 54 ways she can choose three books

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Answer:

7.14

Step-by-step explanation:

The relation R on the set (1, 2, 3, 4) can be represented by an arrow diagram and a matrix. The arrow diagram visually depicts the connections between the elements.

To represent the relation R on the set (1, 2, 3, 4) using an arrow diagram, we draw a directed arrow from each element in the set to the element it is related to. For example, we draw an arrow from 1 to 3 and 4, an arrow from 2 to 1, an arrow from 3 to 2 and 4, and an arrow from 4 to 2. The resulting arrow diagram shows the connections between the elements in the relation.

The matrix representation of a relation uses a table to show the presence or absence of connections between elements. For the relation R on the set (1, 2, 3, 4), we create a 4x4 matrix where the rows and columns correspond to the elements of the set. We fill in the matrix with 1s to indicate that there is a connection between the respective elements and 0s otherwise. In this case, the matrix would be:

| 0 0 1 1 |

| 1 0 0 0 |

| 0 1 0 1 |

| 0 1 0 0 |

In the matrix, a 1 in the i-th row and j-th column indicates that the element i is related to the element j. For example, the entry in the first row and third column is 1, indicating that 1 is related to 3.

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Answer:

Steps:

given:

A = 235.2 m²

S1 = 2.8 m

S2 = A/S1

S2 = 235.2/2.8

S2 = 84 m

P = 2(S1+S2)

P = 2(2.8+84)

P = 2 × 86.8

P = 173.6 m

x=-3

-6x + 8 + 3x = 17

-3x + 8 = 17

-3x = 17 - 8

-3x=9

x=-9/3

x=-3

For the two parallelogram to be congruent, their corresponding sides must be equal

Two figures are said to be congruent if they are of the same shape and their corresponding sides and angles are congruent to each other. The SSS congruency theorem states that two figures are congruent of all their sides are congruent.

For the two parallelogram to be congruent, their corresponding sides must be equal

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Answer: CPCTC

Step-by-step explanation:

edge 23

Answer:

36 prices

Step-by-step explanation:

Given the following :

Dentist bought 9 bags of prizes for his patients

Each bag had 12 prizes, and prices were divided equally among three boxes: The each box will. Have :

Total number of prices :

Number of bags × number of prices per bag

9 × 12 = 108 prices

Number of boxes in which prices were equally distributed = 3

Hence, each box will have :

Total prices / number of boxes

= 108 / 3

= 36 prices per box

The company needs to sell 1,000 units in order to break even.

Problem:

A company produces and sells a product. The fixed costs for production are $10,000, and the variable cost per unit is $5. The selling price per unit is $15. Determine the number of units the company needs to sell in order to break even.

Solution:

Let's denote the number of units sold as "x".

The total cost (TC) can be calculated as the sum of fixed costs (FC) and variable costs (VC) multiplied by the number of units sold:

TC = FC + (VC * x)

The total revenue (TR) can be calculated by multiplying the selling price (SP) per unit by the number of units sold:

TR = SP * x

To break even, the total revenue should equal the total cost:

TR = TC

Now we can set up the system of equations:

Equation 1: TC = FC + (VC * x)

Equation 2: TR = SP * x

Equation 3: TR = TC

Substituting the values given in the problem:

FC = $10,000

VC = $5

SP = $15

Equation 1 becomes: TC = $10,000 + ($5 * x)

Equation 2 becomes: TR = $15 * x

Equation 3 remains: TR = TC

Now we can set Equations 2 and 3 equal to each other:

$15 * x = $10,000 + ($5 * x)

Simplifying the equation:

$15 * x - $5 * x = $10,000

$10 * x = $10,000

x = $10,000 / $10

x = 1,000

Therefore, the company needs to sell 1,000 units in order to break even.

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Dwayne will drink 12 bottles of water in 4 days.

To find out how many bottles of water Dwayne will drink in 4 days, we can set up a proportion based on the information given:

Let x be the number of bottles of water he will drink in 4 days.

The number of bottles of water consumed per day remains constant, so we can set up the following proportion:

48 bottles / 12 days = x bottles / 4 days

Now, solve for x:

48 / 12 = x / 4

4x = 48

x = 48 / 4

x = 12

So, Dwayne will drink 12 bottles of water in 4 days.

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