Somebody please help !

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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The angles of rotations that will carry this equilateral triangle into itself are (b) and (c)

The triangle is an equilateral triangle

The angles in an equilateral triangle is 60 degrees

This angle also represent the angle of rotation that will carry this equilateral triangle into itself

The other angle of rotations that will carry this equilateral triangle into itself are multiples of 60

i.e. 120, 180, 240

Hence, the angles of rotations that will carry this equilateral triangle into itself are (b) and (c)

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Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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The volume of blood samples from smallest to largest can be ordered as 2.350 milliliters, 2.332 milliliters, 2.317 milliliters, 2.299 milliliters and 2.285 milliliters

Ordering of numbers is the listing of numbers in a specific order, may be from smallest to largest or from largest to smallest.

The given volumes are :

2.350 milliliters, 2.285 milliliters, 2.332 milliliters, 2.299 milliliters and 2.317 milliliters

We have to look at the decimal part because the real part is same 2 for all the values.

So the order is,

2.350 milliliters, 2.332 milliliters, 2.317 milliliters, 2.299 milliliters and 2.285 milliliters

Hence the order is 2.350 milliliters, 2.332 milliliters, 2.317 milliliters, 2.299 milliliters and 2.285 milliliters.

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91% confidence interval of true proportion of workers who belong to a union is between 22.71% and 29.29%.

The formula for a proportion's confidence interval is: p z* (p(1-p) / n) where: P is the sample proportion (p = sample size / number of unionised employees).

z is the z-score that corresponds to the desired level of confidence; for example, a 91% confidence level corresponds to a z-score of roughly 1.645.

The sample size is n.

Therefore, the sample proportion for the given case is p = 26% = 0.26, and the sample size is n = 434.

We obtain the following numbers by substituting them in the formula: 0.26 1.645 * (0.26 * 0.74 / 434)

figuring out the standard error

√(0.26 * 0.74 / 434) = 0.0199

Therefore, 0.26 1.645 * 0.0199 = 0.26 0.0329 represents the 91% confidence interval.

Therefore, 0.26 - 0.0329 = 0.2271 are the lower and upper boundaries of the 91% confidence interval.

0.26 + 0.0329 = 0.2929

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Answer:  A value or set of values that can be substituted into the equation to make it a true statement.

Step-by-step explanation: hope this helps!!!

There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer:

\(P_{x} = {n \choose x} p^{x} q^{n-x}\)

Step-by-step explanation:

P = binomial probability

x = number of times for a specific outcome within n trials

\({n \choose x}\) =  number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

The tree from which the wood was obtained died 13,729 years ago, considering the exponetial function that models the situation.

The standard definition of an exponential function is given by the equation presented as follows:

\(A(t) = A(0)b^{\frac{t}{n}}\)

The parameters of the exponential function with format above are given as follows:

The half-life of carbon-14 is 5,730 years, hence the parameters b and n have the values given as follows:

b = 0.5, n = 5730.

Then the exponential function for the amount of the substance after t years is given as follows:

\(A(t) = A(0)(0.5)^{\frac{t}{5730}}\)

19% of the substance remained, hence the time is obtained as follows:

\(0.19A(0) = A(0)(0.5)^{\frac{t}{5730}}\)

\((0.5)^{\frac{t}{5730}} = 0.19\)

t = 5730 x log(0.19)/log(0.5)

t = 13,729 years.

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An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By reflecting the given function across the across the y-axis (y = x), we have the following:

f(x) = x/3 - 6

g(x) = f(-x)

g(x) = -x/3 - 6.

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5. 24 hours over 7 days (Because 1 day = 4 hrs)

6. 16 limes over 2 bags (1 bag = 8 limes)

7. 54 cups over 9 boxes (6 cups = 1 box)

8. 27 meters (or minutes) over 3 seconds (9 meters over 1 second)

9. 36 lbs over $24 ($1 = 1.5lbs)

The value of LE is 18 units.

We are given an image of a number line, we have to find the value of LE.

Number line

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

All (natural numbers) positive numbers occupy the right side of the zero whereas negative numbers occupy the left side of zero on the number line. As we move on to the left side value of a number decreases.

Observing from the number line, we can say that L = -11 and E = 7

Hence, LE =  7-(-11) = 7 + 11 = 18 units.

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Answer:

tulips= 56

and  daffodils= 93

Step-by-step explanation:

Step one:

given data

number of tulips = 56

ratio of tulips to daffodiis= 3:5

total ratio= 3+5= 8

Step two:

Required

The number pf daffodiis

let us apply the part to all aproach

the total flowers can be found bellow

let the total be x

3/8=56/x

cross multiply

3x=56*8

3x=448

divide both sides by 3

x=448/3

x=149.3

=149 approx.

The total flowers is 149

the number of daffodils is =149-56=93

tulips= 56

and  daffodils= 93

Answer:

21 tuilps : 35 daffodils

Step-by-step explanation

There are 3 : 5  = 3+5=8

3= tulips

5=daffodils

8 parts of the bed                    

=

3/8*56 = 21 (tuilips)

5/8*56 = 35(daffodils)

Thus we have 21 tuilips and 35 daffadils (21:35)

Answer:

Step-by-step explanation:

A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

Answer:

(9,4)

applying coordinate geometry 2 in further MATHEMATICS or core mathematics

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = \(Pe^{rt}\), where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019  , A = $ 73600

Substitute all values in formula

\(73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}\)

Taking natural log on both sides

\(\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}\)

Hence, the required time = 9.9 years.

The present value of the bond is $3,345.90. This is calculated by taking the future value of the bond ($4,500) and dividing it by the present value factor for 4.25% for 10 years (1.427).

PV = FV / (1 + r)n

PV = $4,500 / (1 + 0.0425)10

PV = $4,500 / 1.427

PV = $3,345.90

The present value of an asset is the value of the asset today, taking into account the time value of money and the interest rate of the investment. In this example, the Exxon Corporation bond will pay $4,500 ten years from now, and the going interest rate on safe 10-year bonds is 4.25%. To calculate the present value of the bond today, we use the present value formula, which is the future value of the bond divided by the present value factor for the given interest rate and number of years. In this case, the present value factor is 1.427, and the present value of the bond is $3,345.90. This means that the bond is worth $3,345.90 today, taking into account the time value of money and the given interest rate.

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Answer:

NI and HN

Step-by-step explanation:

The segments are both marked with a congruency mark.

P89 is the 89th percentile score of a normal distribution with a mean of 40.3 and a standard deviation of 37.7.


1. In order to find P89, we first need to find the z-score associated with the 89th percentile. This z-score tells us how many standard deviations away from the mean the P89 score is.
2. You can find the z-score using a z-table or a calculator that has a built-in inverse cumulative distribution function (such as the InvNorm function on a TI-84 calculator). Input the percentile as a decimal (0.89) and it will provide the z-score.
3. Once you have the z-score, use the following formula to find P89:

P89 = mean + (z-score * standard deviation)

In this case, the mean is 40.3, and the standard deviation is 37.7.


After calculating the z-score for the 89th percentile and plugging it into the formula, you will get the P89 score, which separates the bottom 89% from the top 11% in the given normal distribution.

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The triangle that is similar to the triangle ΔABC is the triangle ΔJKL, the correct option is therefore;

B. ΔJKL, in which m∠J = 15° and m∠L = 45°

Triangles are similar if they have the same measure of two of their interior angles, and therefore, have the same shape, but they may have different size.

The specified known angles of the triangle indicates that the known angles are;

m∠A = 15°, m∠B = 120°

Therefore, the third angle of the triangle is; 180 - (15 + 120) = 45

The third angle of the is 45 degrees

Therefore, the triangle that is similar to the specified triangle has an angle interior angle of either; 15°, or 120°, or 45°

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Answer:

ok

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(((2cot3 • x) - cot2x) - 13coxs) - 6

STEP

2

:

Checking for a perfect cube

2.1 2cot3x-cot2x-13coxs-6 is not a perfect cube

Final result :

2cot3x - cot2x - 13coxs - 6

The volume of the frustum of the pyramid is 1390 cubic units.

The volume of a frustum of a pyramid is given by the formula:

\(V = (1/3)h(B1 + B2 + sqrt(B1B2))\)

where h is the height of the frustum, B1 and B2 are the areas of the top and bottom bases, respectively.

Given that the square base of the frustum has a side of 16 and the square top has a side of 7, the areas of the bases are:

B1 = 7^2 = 49

B2 = 16^2 = 256

The height of the frustum is 10.

Using the formula for the volume of the frustum, we get:

V = (1/3)(10)(49 + 256 + sqrt(49*256))

= (1/3)(10)(49 + 256 + 112)

= (1/3)(10)(417)

= 1390 cubic units.

Therefore, the volume of the frustum of the pyramid is 1390 cubic units.

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The exact value of sin (A-B) in simplest form for positive acute angle A and B is found to be 221/1445.

We can use the trigonometric identity sin(A - B) = sinAcosB - cosAsinB to find the exact value of sin(A - B) for positive acute angles.

From the given information, we know that cosA = 4/5 and sinB = 8/17. Using identities, sin²A + cos²A = 1 and sin²B + cos²B = 1:

sinA = √(1 - cos²A)

= √(1 - (4/5)²)

= 3/5

cosB = √(1 - sin²B)

= √(1 - (8/17)²)

= 15/17

Now, we can substitute these values into the identity:

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (3/5)(15/17) - (4/5)(8/17)

sin(A - B) = 9/17 - 32/85

sin(A - B) = (765 - 544)/1445

sin(A - B) = 221/1445

Therefore, the exact value of sin(A - B) in simplest form is 221/1445.

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Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.

To determine Carl's z-score, we need to know the mean and standard deviation of GPAs at UTA. Without this information, we cannot calculate the z-score. However, we can still determine the percentage of other students at UTA who have a lower GPA than Carl. We can use a standard normal distribution table to find this percentage, assuming that GPAs at UTA are approximately normally distributed.

First, we need to calculate the z-score corresponding to Carl's GPA of 2.2. Assuming a mean GPA of 3.0 and a standard deviation of 0.5, we can use the formula: z = (x - μ) / σ

where x is Carl's GPA, μ is the mean GPA, and σ is the standard deviation. Plugging in the values, we get:

z = (2.2 - 3.0) / 0.5 = -1.6

Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.

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Answer:

7

Step-by-step explanation:

\(s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7\)

Answer:

2x - 14 = -4

that is the equation simplified

Answer:

x = 8; y = 5

Step-by-step explanation:

x + y = 13

x - y = 3

8 + 5 = 13

8 - 5 = 3

Answer: The two numbers are 8 and 5

8is first and 5 is second

Step-by-step explanation:

x-y=3

x+y=13

8-5=3

8+5=13