ISOLATE THE VARIABLE: SOLVE FOR X
X+Y=B-A

To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.

How does probability work exactly?

Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.

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Answer:

3×3×(4-3)=9

Step-by-step explanation:

3×3×1

=9×1

=9

Answer:

3 x 3 x (4 - 3).

Step-by-step explanation:

It is 3 x 3 x (4 - 3)  = 9 x 1 = 9.

Answer: 21

Step-by-step explanation:

When it comes to finding the range, you must take the biggest number and subtract it from the smaller number, therefore in your question the answer is

25 - 4 = 21

Hope it helped :D

The Yield to Maturity (YTM) of the bond is approximately 10.492%.

Given the following information:

To calculate the Yield to Maturity (YTM) of the bond, we can use the present value formula:

Present value = ∑ (Coupon payment / (1 + YTM/2)^n) + (Face value / (1 + YTM/2)^n)

Where:

In this case, we have:

$970 = (Coupon payment * Present value factor) + (Face value * Present value factor)

Simplifying further:

1.08 = (1 + YTM/2)^20

Solving for YTM, we find:

YTM = 10.492%

Therefore, The bond's Yield to Maturity (YTM) is roughly 10.492%.

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Answer:

0.25              :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer: 74

Step-by-step explanation:

Mean means average.  Add all the numbers and divide by how many there are.

(86+45+93+77+63+80)/6

444/6

=74

Answer:

Be a Butthole back or ignore them

Step-by-step explanation:

Answer:

tell them tvgyfttttrfrt6

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

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Answer:

34.5 meters square.

Step-by-step explanation:

Walls: 4 x 5 meters

Roof: 5 x 5 meters

20 x 0.5 = 10

25 x 1.5 = 37.5

10 + 37.5 = 47.5

There is a window and a door she doesn't need to wash that takes up some of that space. The window takes up 4 square meters and the door takes up 9 square meters. So, there is 13 square meters she will not wash (4+9=13).

We subtract what she won't wash from our original number of 47.5.

47.5 - 13 = 34.5

The required surface area of the sphere with radius 10 feet is given by option a. 1,256 ft².

Let us consider 'r' be the radius of the sphere.

Radius of the sphere 'r' = 10 feet

Surface area of the sphere = 4 π r²

Substitute the value of radius in the formula we get,

⇒ Surface area of the sphere = 4 π × ( 10 )²

Substitute value of π is equal to 3.14 we get

⇒ Surface area of the sphere = 4 × 3.14 × ( 10 )²

⇒ Surface area of the sphere =  12.56 × 100

⇒ Surface area of the sphere = 1,256 square feet.

Therefore, the surface area of the sphere is equal to option a. 1,256 ft².

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statement (b) is the correct option that yields 5.

Among the given options, statement (b) yields 5 as the result.

3/6E-1 + 5%5 * 2

First, we evaluate the exponential term, 6E-1, which represents 6 multiplied by 10 raised to the power of -1. This simplifies to 0.6.

Next, we calculate the modulo operation 5%5, which returns the remainder when 5 is divided by 5, resulting in 0.

Now, we have:

3/0.6 + 0 * 2

Simplifying further:

5 + 0

Finally, the result is 5.

Therefore, statement (b) is the correct option that yields 5.

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Answer:

it is 13.0cm

Step-by-step explanation:

plus all numbers

Answer:

0

Step-by-step explanation:

y2 - y1 / x2 - x1

10 - 10 / 2 - 4

0/-2

The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.

The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.

It is also known by the name of neutral element.

In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,

a1=1a=a.

While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,

a+0=0+a=a.

There is no identity element for subtraction, and division only has an identity element for certain sets.

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Answer:

x ≈ 45.6°

Step-by-step explanation:

using the Cosine rule in the triangle

cos x = \(\frac{8^2+15^2-11^2}{2(8)(15)}\) = \(\frac{64+225-121}{240}\) = \(\frac{168}{240}\) , then

x = \(cos^{-1}\) ( \(\frac{168}{240}\) ) ≈ 45.6° ( to 1 dec. place )

Answer:

18  ft

Step-by-step explanation:

Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

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The function that represents the difference between the value of Aleka's and Helene's total savings after x years is

h(x) = 1000(1.025)ˣ - 200x.

To find the difference between Aleka's and Helene's total savings after x years, we need to subtract Helene's total savings from Aleka's total savings.

Aleka's total savings after x years can be represented by the function

f(x) = 2500(1.025)ˣ, which is the initial amount of $2500 compounded annually at an interest rate of 2.5% for x years.

Helene's total savings after x years can be represented by the function g(x) = 1500(1.025)ˣ + 200x, which is the initial amount of $1500 compounded annually at an interest rate of 2.5% for x years, plus the additional $200 cash saved per year.

Therefore, the difference function h(x) is given by h(x) = f(x) - g(x). Plugging in the expressions for f(x) and g(x), we get

h(x) = 2500(1.025)ˣ - (1500(1.025)ˣ + 200x).

Simplifying further, we have h(x) = 1000(1.025)ˣ - 200x, which matches the expression h(x) = 1000(1.025)ˣ - 200x given in the options.

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Answer:

Step-by-step explanation:

The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.

angle 1 + angle 2 = 180° ... 1

If two angles are vertical angles , this means that both angles are equal.  Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°

Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°

Substituting this angles into equation 1 to get the value of y;

(3y + 10)°+(5y - 30)° = 180°

3y+5y+10-30 = 180

8y-20 = 180

8y = 180+20

8y = 200

y = 200/8

y = 25°

To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°

angle 2 = 5(25) - 30

angle 2 = 125 - 30

angle 2 = 95°

The `squares` function takes a 2-dimensional list or a list of ranges as input and counts the number of perfect square integers present in the input.

It iterates through each element in the list, converts a range object to a list if necessary, and checks if each number is a perfect square using the `isqrt` function from the `math` module.

The count of perfect squares is accumulated and returned as the result. The function can handle both lists of integers and ranges, making it flexible for various input scenarios.

Here's a function called `squares` that accepts a 2-dimensional list of integers or a list of ranges and returns the count of all the integers that are perfect squares:

```python

import math

def squares(lst):

   count = 0

   for item in lst:

       if is instance(item, range):

           item = list(item)

       for num in item:

           if math.isqrt(num) ** 2 == num:

               count += 1

   return count

```

Sample usage:

```python

list1 = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]

print(squares(list1))  # Output: 4

list2 = [range(1, 6), range(6, 11)]

print(squares(list2))  # Output: 3

```

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Answer:

8.33

Step-by-step explanation:

1hr=60 minutes

?hr = 500 minutes

To find how many hours, divide 500 by 60

500/60 = 8.33

500 minutes = 8.33 hours

After considering the given data we conclude that it is proven that \(limnan = a (and) a + 0\), and there exists a positive number k and a positive integer m such that Jan> k, whenever n > m.

To prove that if \(limnan = a (and) a + 0\), then there exists a positive number k and a positive integer m such that Jan> k, whenever n > m, we can apply the definition of a limit.
Definition of a limit: Let assume (an) be a sequence of real numbers. We interpret that the limit of (an) as n approaches infinity is a,
denoted limnan = a, if for every ε > 0, there exists a positive integer N such that \(\{|an - a| < \epsilon\} whenever}\{ n > N\}\).
Then lets proceed with the proof
Consider that \(limnan = a (and) a + 0.\)
Let \(\epsilon = a/2\). Since a + 0, we know that a > 0, so \(\epsilon\) > 0.
Applying the definition of a limit, there exists a positive integer \(N_1\) such that \(|an - a| < \epsilon (whenever) n > N_1.\)
Then \(k = a/\epsilon = 2\). Since \(\epsilon = a/2, (we have) k = 2.\)
Then  \(m = max\{N1, k\}\) Hence, for n > m, we have:
\(n > N_1, (since) m \geq N_1\).
\(n > k,( since) m \geq k.\)
Therefore, we have:
\(|an - a| < \epsilon , (by the description) of N_1\).
\(\epsilon = a/2 < a/k, (since) k = 2.\)
\(|an - a| < a/k,\) by applying substitution.
\(an - a < a/k\), since |an - a| is positive.
\(an < a(1 + 1/k)\), by adding a to both sides.
\(an < a(1 + 1/2) = 3a/2.\)
Hence , we have shown that there exists a positive number k = 2 and a positive integer \(m = max\{N1, k\}\) such that Jan> k, whenever n > m.
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Answer:

work is shown and pictured

Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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The Probability that the product will last at least 1.25 years is 0.87

Given:

The probability of an event happening is determined by probability: P(A) = f / N. Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood of an event.

1.25 years = 15 months

Thus the probability of the lifetime of a product whose lifetime is distributed exponentially with parameter  λ = 0.009, is at least 15 months.

Let T denote the lifetime of this particular product so that:

f (t) = 0.009e⁻°·°°⁹t , t ≥0

we need to compute P(T≥15)

P(T≥15) = e⁻°·¹³⁵

P(T≥15) ≈ 0.87

Hence we get the required answer.

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Your question is incomplete. Please find the missing content below:

A manufacturer guarantees a product for

1.25

years. The time to failure of the product after it is sold is given by the probability density function below, where t is time in months. What is the probability that the product will last at least 1.25 years? [Hint: Recall that the total area under the probability density function curve is 1.]

f(t)= 0.009e^-0009 if t ≥0

0   otherwise

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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The system of equation to represents the relation between cakes and pie is given by 6x + 15y = 99 , x + y = 9.

The number of cakes sold is equal to 4.

Let x be the number of cakes sold

And y be the number of pies sold.

A cake costs $6

A pie costs $15,

Total revenue from selling x cakes and y pies is given by,

6x + 15y = total revenue

In one day the store sold 9 baked goods for a total of $99,

x + y = 9

System of equations in two variables,

6x + 15y = total revenue

x + y = 9

To solve for x, we can use substitution.

Solving the second equation for y, we get,

y = 9 - x

Substituting  into first equation, we get,

⇒6x + 15(9 - x) = 99

Simplifying and solving for x, we get,

⇒6x + 135 - 15x = 99

⇒-9x = -36

⇒x = 4

The store sold 4 cakes.

Number of pies sold,

x + y = 9

Substituting x = 4,

⇒4 + y = 9

⇒y = 5

store sold 5 pies

Therefore, from the system of equations 6x + 15y = 99, x + y = 9 the store sold 4cakes and5 pies.

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The insufficient evidence to suggest that a higher proportion of Seniors are attending Prom than Juniors.

1. STATE:Parameter: proportion of Juniors attending Prom, proportion of Seniors attending PromStatistic: the sample proportions of Juniors and Seniors who are planning on attending PromHypotheses:H0: pJ = pS (the proportion of Juniors attending Prom is equal to the proportion of Seniors attending Prom)Ha: pJ < pS (the proportion of Juniors attending Prom is less than the proportion of Seniors attending Prom)Significance level: α = 0.05 (5%)2. PLAN:Procedure: two-sample z-test for proportionsConditions:Randomization: The students were randomly selected from each grade level.Independence: The samples are independent as they come from different grade levels.Large Sample: npJ ≥ 10, n(1 − pJ) ≥ 10, npS ≥ 10, n(1 − pS) ≥ 103. DO:Mean:pJ − pSPicture:Standard deviation:Formula:General formula: Z = (pJ − pS) / SEpJ = number of Juniors who are planning to attend Prom / sample size of JuniorsnJ = sample size of JuniorspS = number of Seniors who are planning to attend Prom / sample size of SeniorsnS = sample size of SeniorsSE = sqrt[(pJ(1 - pJ))/nJ + (pS(1 - pS))/nS]Specific formula: Z = (0.56 - 0.64) / 0.092 = -0.87Test statistic: Z = -0.87P-value:P(Z < -0.87) = 0.1935Because the p-value (0.1935) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is insufficient evidence to suggest that a higher proportion of Seniors are attending Prom than Juniors.

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