Your team arrived to the scene at 9:30 am and found the temperature of the body at 85 degrees. The team


continued to help collect evidence and noted that the thermostat was set at 72 degrees. After collecting


evidence for one hour, your team checked the body temperature again and found it to now be at 83. 3


degrees


Your team must figure out what time the murder took place.

Answer:

Step-by-step explanation:

4 cm × 1000 = 4000 cm = 40 meters

3 cm × 1000 = 3000 cm = 30 meters

A 4 cm by 3 cm  section on the map represents 40 m by 30 m.

area = 40 m × 30 m = 1200 m²

Check the picture below.

After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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Answer:

The height of the window is 150 centimeters.

Step-by-step explanation:

Use ratio and proportion to find the height of the window.

\(\frac{h}{60cm} = \frac{210cm}{84cm}\)

Cross multiply

\(h = \frac{210cm(60cm)}{84cm} \\h = \frac{12600cm^2}{84cm} \\h = 150 cm\)

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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The four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices.

To show that the four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices, we need to demonstrate two properties: linear independence and orthogonality.

1. Linear Independence:

A set of matrices is linearly independent if no matrix in the set can be written as a linear combination of the others. Let's consider the four Pauli matrices:

X = |0  1|      Y = | 0  i|      Z = | 1  0|      I = |1  0|

     |1  0|            |−i  0|            | 0 −1|            |0  1|

To show that these matrices are linearly independent, we'll assume that a linear combination of these matrices equals the zero matrix:

aX + bY + cZ + dI = |0  0|

                               |0  0|

Expanding the left-hand side, we have:

a|0  1| + b| 0  i| + c| 1  0| + d|1  0| = |0  0|

        |1  0|         |−i  0|         |0  1|

This can be rewritten as:

|0   a   c   d|   | 0|   |0|

|1   0   bi  0| * | 1| = |0|

|1  −bi  0   0|   | 0|   |0|

|d   0   0   a|   | 1|   |0|

Now, if we compute the product on the left-hand side, we get:

| c|   |0|

| a| = |0|

|-bi|   |0|

| d|   |0|

From this, we can conclude that a = b = c = d = 0. Therefore, the four Pauli matrices are linearly independent.

2. Orthogonality:

To show that the four Pauli matrices are orthogonal, we need to demonstrate that their inner products are zero. Let's calculate the inner product of each pair:

(X, X) = Tr(X†X) = Tr(|0  1| |0  1|)

                                          |1  0| |1  0|

       = Tr(|0  0|)

                |0  0|

       = 0

(Y, Y) = Tr(Y†Y) = Tr(| 0  i| | 0 −i|)

                                          |−i  0| | i  0|

       = Tr(| 0   1|)

                |−1   0|

       = 0

(Z, Z) = Tr(Z†Z) = Tr(|1  0| |1  0|)

                                          |0 −1| |0 −1|

       = Tr(|1  0|)

                |0  1|

       = 2

(I, I) = Tr(I†I) = Tr(|1  0| |1  0|)

                                          |0  1| |0  1|

       = Tr(|1  0|)

                |0  1|

       = 2

(X, Y) = Tr(X†Y) = Tr(|0  1| | 0  i|)

                                          |1  0| |−i  0|

       = Tr(|−i  0|)

                | 0  i|

       = 0

(X, Z)

= Tr(X†Z) = Tr(|0  1| |1  0|)

                                          |1  0| |0 −1|

       = Tr(|0 −1|)

                |1  0|

       = 0

(X, I) = Tr(X†I) = Tr(|0  1| |1  0|)

                                          |1  0| |0  1|

       = Tr(|0  1|)

                |1  0|

       = 0

(Y, Z) = Tr(Y†Z) = Tr(| 0  i| |1  0|)

                                          |−i  0| |0 −1|

       = Tr(| 0  i|)

                |i  0|

       = 0

(Y, I) = Tr(Y†I) = Tr(| 0  i| |1  0|)

                                          |−i  0| |0  1|

       = Tr(| 0  i|)

                |−i  0|

       = 0

(Z, I) = Tr(Z†I) = Tr(|1  0| |1  0|)

                                          |0 −1| |0  1|

       = Tr(|0  0|)

                |−1  0|

       = 0

From these calculations, we can see that the inner product of any two distinct Pauli matrices is zero, except for (Z, Z) and (I, I), which both equal 2.

Therefore, the four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices.

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The two terms in the t-test are the numerator and denominator degrees of freedom. The numerator represents the number of independent variables in the test, while the denominator represents the sample size minus the number of independent variables.

In a one-sample t-test, the numerator is typically the difference between the sample mean and the null hypothesis mean, while the denominator is the sample standard deviation divided by the square root of the sample size.

In a two-sample t-test, the numerator is typically the difference between the means of two samples, while the denominator is a pooled estimate of the standard deviation of the two samples, also divided by the square root of the sample size.

The degrees of freedom are important in calculating the critical t-value, which is used to determine whether the test statistic is statistically significant. As the degrees of freedom increase, the critical t-value decreases, meaning that it becomes more difficult to reject the null hypothesis.

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

20 % decay

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

1-.8 = .2

Change to decimal form

20 % decay

The area of the piece of land is 849 ft².

The area of the piece of land

=22 x 30 x \(\frac{1}{2}\) x 2 + (30-12) x 21 x \(\frac{1}{2}\)

=660 + 18 × 21×\(\frac{1}{2}\)

=660 + 189

=849 ft²

The area is the amount that expresses the volume of a place on the plane or on a curved surface. The location of an aircraft region or aircraft place refers back to the area of a shape or planar lamina, at the same time as floor region refers to the location of an open floor or the boundary of a three-dimensional object. the area may be understood as the amount of fabric with a given thickness that could be essential to style a model of the shape, or the amount of paint vital to cowl the surface with a single coat. it's miles the 2-dimensional analog of the length of a curve (a one-dimensional concept) or the extent of a strong (a three-dimensional concept).

The place of a shape can be measured by way of evaluating the form to squares of a hard and fast size. inside the global gadget of devices (SI), the usual unit of the vicinity is the rectangular meter (written as m²), that's the location of a rectangle whose sides are one meter long. A shape with a place of three rectangular meters would have the equal region as 3 such squares. In mathematics, the unit square is described to have placed one, and the location of another shape or floor is a dimensionless real variety.

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We cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

justify your answer," we need to first understand what a k-to-1 correspondence is.

A k-to-1 correspondence is a function in which each element in the range has exactly k preimages. In other words, if the function f maps elements from set A to set B, then for each element b in set B, there are exactly k elements in set A that map to b.

In this case, we need to determine if the function f is a k-to-1 correspondence for some positive integer k.Now, let's justify our answer. Since we do not have the function f, we cannot determine whether it is a k-to-1 correspondence or not. Therefore, we cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

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Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

well you know it's a 90°   so do you know what  Sin(90) is?   you should :D

I think this is kinda a trick question too b/c Opp here is also Hyp  

so it would like like    sin(90) = Opp / Hyp  but  that's  427/427 for this question.   seems kinda confusing  why ask it  that way.. huh  :/

sin(90) = 1

Answer:

8 cups

Step-by-step explanation:

So say the canister hold x when it's full. Half is 0.5x

he used 1 + 0.75 = 1.75

Subtract that from 0.5x and get an equation:

0.5x - 1.75 = 2.25

0.5x = 4

x = 8

Answer:

After solving the given equation, the value obtained for n will be equal to n < -0.6.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the equation given in the question,

7.2 > 0.9(n + 8.6)

Solve the equation for n,

7.2 > 0.9n + 7.74

7.2 - 7.74 > 0.9n

-0.54/0.9 > n

-0.6 > n or,

n < -0.6

Answer:

85

Step-by-step explanation:

it's declining by -1.  100-1=99, 99-2=97

Hi :)

To find percentage, divide 56 by 80 and multiply by 100

To remember this, know that since 56 is of 80, of/number x 100  56/80 x 100

You should get something like 70, which happens to be your answer, 70%

Hope this helps,

Jeron

P.S (brainliest? only if i helped)

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

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she slept at 9:35 am

hope it helps :)

A normal probability distribution becomes a standard normal distribution when it has two requirements: a mean (µ) of 0 and a standard deviation (σ) of 1.

Normal distributions have key characteristics that are easy to spot in graphs:

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8 - The diameter of Circle A is twice the diameter of Circle B. 9 - The width of Rectangle A is half the value of π times the radius of Circle B. 10 - If a wheel with a radius of 50 cm rolled for 10 km, it would go around approximately 31,831 times.

8. Let's assume the diameter of Circle B is D, which means the radius of Circle B is D/2. The area of Circle B is then given by \(\[A_B = \pi\left(\frac{D}{2}\right)^2 = \pi\left(\frac{D^2}{4}\right)\]\).

Since the area of Circle A is four times the area of Circle B, we have \(A_A = 4A_B\). Substituting the expression for \(A_B\), we get \(\[A_A = 4\pi\left(\frac{D^2}{4}\right) = \pi D^2\]\). This implies that the area of Circle A is π times the square of the diameter of Circle A.

To find possible diameters for each circle, we need to solve the equation \(A_A = 4A_B\). Let's denote the diameter of Circle A as \(d_A\) and the diameter of Circle B as \(d_B\).

\(\[\pi d_A^2 = 4\pi d_B^2\]\)

\(\[d_A^2 = 4d_B^2\]\)

\(d_A = 2d_B\)

This means the diameter of Circle A is twice the diameter of Circle B.

9. Let's denote the length of Rectangle A as L and the radius of Circle B as r. The area of Rectangle A is given by A_Rectangle = L × W, where W represents the width of the rectangle.

Given that the length of Rectangle A is equal to the radius of Circle B (L = r) and the area of Rectangle A is half the area of Circle B (A_Rectangle = 0.5A_B), we can set up the following equations:

L = r

\(\[L \times W = 0.5\pi r^2\]\)

Substituting L = r into the second equation, we get:

\(\[r \times W = 0.5\pi r^2\]\)

W = 0.5πr

Therefore, the width of Rectangle A is half the value of π times the radius of Circle B. The width is directly proportional to the radius of the circle.

10. The circumference of a wheel is given by the formula C = 2πr, where r is the radius of the wheel. In this case, the radius is 50 cm.

To find out how many times the wheel goes around when it rolls for 10 km, we need to convert the distance traveled into a circumference value.

10 km is equal to 10,000 meters. We need to convert this to centimeters, which gives us 10,000,000 centimeters.

The circumference of the wheel is 2πr = 2π(50) = 100π cm.

Now we can divide the total distance traveled by the circumference of the wheel:

10,000,000 cm ÷ (100π cm) ≈ 31,830.9886

Therefore, the wheel would go around approximately 31,831 times if it rolled for 10 km.

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If the distribution of the variable upon which the mean was derived is highly skewed to the right, it may be appropriate to use the t-test if the sample size is large enough.

When conducting research, the t-test is typically used to compare the means of two groups. One of the key assumptions of the t-test is that the population from which the sample was drawn follows a normal distribution.

However, if the distribution of the variable upon which the mean was derived is highly skewed to the right, it may not meet the normality assumption.

In this case, it is appropriate to use the t-test if the sample size is large enough. The t-test is based on the central limit theorem, which states that the sample mean tends to follow a normal distribution as the sample size increases, even if the population distribution is not normal. For large sample sizes (typically n > 30), the t-test is generally considered to be robust to violations of the normality assumption.

However, if the sample size is small, the t-test may not be appropriate, even if the sample mean follows a normal distribution. In this case, alternative statistical tests may be more appropriate. For example, the Wilcoxon rank-sum test can be used to compare the means of two groups when the normality assumption is not met.

In conclusion, if the sample size is small, alternative statistical tests may be more appropriate.

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Answer:

y=-.5x-4

Step-by-step explanation:

The -.5 would be multiplied by the slope, making a negative slope.

Answer:

y = 138

Step-by-step explanation:

y = 132 when x = 11

x = 17

17 - 11 = 6

132 + 6 = 138

If the value of y = 132 then x = 11, then when the value of x = 17 the value of y will be equal to 204.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

When x = 11 then y = 132,

Which means that 12 times of 11 is 132.

Mathematically, 11 × 12 = 132

Then,

When x = 17 then the value of y will be :

⇒ 17 × 12 = 204, that is, 12 times of 17 will be 204.

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The probability that a rental car delivered to the firm needs a tune-up is 0.0000308, or approximately 0.0031%. The probability that a car comes from agency 2 needs a tune-up is 0.0234, or approximately 2.34%.

The probability that an event will occur or a claim will be true is measured by probability theory, a branch of mathematics. The probability of an occurrence is a number from 0 as well as 1, where around 0 represents how likely the occurrence would be to occur while 1 represents certainty. A probability is just a numeric illustration of the possibility that a specific occurrence will take place. Probabilities can also be expressed as percentages ranging between 0% to 100% or even from 0 to 1. the ratio of the number of outcomes to the proportion of occurrence in a whole set of equally probable options that lead to a specific occurrence.

given,

(a) Let's denote the event that a car comes from agency i as Ai and the event that a car needs a tune-up as T. We want to find the probability that a rental car delivered to the firm will need a tune-up, which can be written as P(T).

P(T) = P(T|A1)P(A1) + P(T|A2)P(A2) + P(T|A3)P(A3)

Substituting the given probabilities, we get:

P(T) = 0.05% * 0.36% + 0.02% * 0.06% + 0.02% * 0.58%

P(T) = 0.000018 + 0.0000012 + 0.0000116

P(T) = 0.0000308

Therefore, the probability that a rental car delivered to the firm will need a tune-up is 0.0000308, or approximately 0.0031%.

(b) Let's denote the event that a car comes from agency 2 as A2. We want to find the probability that a car comes from agency 2 given that it needs a tune-up, which can be written as P(A2|T).

P(A2|T) = P(T|A2)P(A2) / P(T)

Substituting the given probabilities, we get:

P(A2|T) = 0.02% * 0.06% / 0.0000308

P(A2|T) = 0.00000072 / 0.0000308

P(A2|T) = 0.0234

Therefore, the probability that a rental car delivered to the firm needs a tune-up and came from agency 2 is 0.0234, or approximately 2.34%.

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We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is

The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is

Hence, Julia keeps 85% of her mask collection on her wall.

Answer:

You do the hokie pokie and you turn yourself around, thats what its all about, but while doing that, turn to the left instead of the right LOL. Have a great day! -Conner

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/2 + 1/3 You first multiply 1/2 by 3 and 1/3 by 2

3/6 + 2/6 then you add

5/6

Step-by-step explanation:

1/2 + 2/3

find the LCM of 2 and 3

LCM =6

1/2 + 2/3

(you'll divide 6 by the denominator and multiply by the numerator)

denominator= the figure down(2 &3)

numerator= the figure up (1 & 2)

= 3/6 +4/6

=7/6

Answer:

153.16

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = ???

μ is the population mean = 140

σ is the population standard deviation = 8

Top 5% means the score is in the 95th percentile

The z score of 95th percentile = 1.645

1.645 = x - 140/8

Cross Multiply

1.645 × 8 = x - 140

13.16 = x - 140

x = 13.16 + 140

x = 153.16

Therefore, the minimum score needed to be in the top 5% of the scores on the test is 153.16