Now probability that the average weight of a bag in order is between 9.5 and 10.5 1-e P[9.5< x
ˉ
<10.5]=P[ 1.25/ 5
​ 9.5−10
​ < 1.25/ 15
​ x
ˉ
−10
​ < 1.25/ 5
​ 10.5−10
​ ] =P[−0.8944 ​ =0.8088−0.1856{4siny stand- P[9.5< x
ˉ
<10.5]=0.6232 ard tormal

The value of 'b' will be;

⇒ b = 7 / 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 40 - 11b + 7 = 40

Now,

Solve the expression for b as;

The expression is,

⇒ 40 - 11b + 7 = 40

⇒ - 11b + 7 = 0

⇒ 11b = 7

⇒ b = 7 / 11

Thus, The value of 'b' will be;

⇒ b = 7 / 11

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Answer:

You showed no model. However, looking at this equation it seems the answer would be x=3.

Step-by-step explanation:

Add 2 to both sides which leaves you with 6=2x and then divide both sides by 2 to get x=3.

9514 1404 393

Answer:

  $81

Step-by-step explanation:

The garden is 4 yards = 12 feet by 3 yards = 9 feet. The area of it is the product of these dimensions, ...

  (12 ft)(9 ft) = 108 ft²

The cost of fertilizer for that area will be ...

  ($0.75/ft²)(108 ft²) = $81.00

They will spend $81.00 to fertilize the garden.

Answer:

About $3.20 in tax, $43.20 total

Step-by-step explanation:

First you want to put the percentage into a decimal, 0.08. Then you would multiply the $40 by 0.08 (tax) to get the amount of tax ($3.20). Then to find the total amount, you could either add $3.20 and $40 together or you could multiply $40 by 1.08 (this accounts for both the item and the tax) to get $43.20.

Answer:

never mind

Step-by-step explanation:

The length of MN, to the nearest tenth of a unit is equal to: C. 14.4 units.

In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Where:

A, B, and C is the length of side of a given triangle.

By substituting the given side lengths and angle into the law of cosine formula, we have the following;

MN² = LM² + LN² - 2(LM)(LN)cosθ

MN² = 12² + 10² - 2(12)(10)cos(52)

MN² = 144 + 100 - 147.76

MN = √96.24

MN = 9.8 units.

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33 out of 60 customers said they liked neither the service nor the food.

At a restaurant on one evening, 60 customers were surveyed about their experience. Of those customers, 41 said they liked the service, 49 said they liked the food, and 37 said they liked both the service and the food.

To answer the question of how many said they liked neither the service nor the food, we can subtract the numbers of those who liked the service, food, or both from the total number of customers.

60 customers - 41 who liked the service - 49 who liked the food - 37 who liked both = 33 customers who liked neither the service nor the food.

In conclusion, 33 out of 60 customers said they liked neither the service nor the food at the restaurant on the evening in question. This data shows that the majority of customers enjoyed their experience, with over two-thirds of customers liking either the food, the service, or both.

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The solution to the system of inequalities is (-1, 4).

To graph the system of inequalities and identify the point that represents a solution, we will plot the lines corresponding to the inequalities and shade the regions that satisfy the given conditions.

The first inequality is x > -2, which represents a vertical line passing through x = -2 but does not include the line itself since it's "greater than." Therefore, we draw a dashed vertical line at x = -2.

The second inequality is y ≤ 2x + 7, which represents a line with a slope of 2 and a y-intercept of 7.

To graph this line, we can plot two points and draw a solid line through them.

Now let's plot the points (-1, 6), (1, 11), (-1, 4), and (-3, -1) to see which one lies within the shaded region and satisfies both inequalities.

The graph is attached.

The dashed vertical line represents x > -2, and the solid line represents y ≤ 2x + 7. The shaded region below the solid line and to the right of the dashed line satisfies both inequalities.

By observing the graph, we can see that the point (-1, 4) lies within the shaded region and satisfies both inequalities.

Therefore, the solution to the system of inequalities is (-1, 4).

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=======================================================

Explanation:

We'll use these two log rules

So,

log(2x) + log(x-1) = log(6x)

log[ 2x*(x-1) ] = log(6x) ...... use rule 1

2x*(x-1) = 6x ...... use rule 2

2x^2-2x = 6x

2x^2-2x-6x = 0

2x^2-8x = 0

2x(x-4) = 0

2x = 0 or x-4 = 0

x = 0 or x = 4

The two possible solutions are x = 0 or x = 4. However, we must check both possible answers because some or all of them may be extraneous.

-----------------------------------

Checking x = 0

log(2x) + log(x-1) = log(6x)

log(2*0) + log(0-1) = log(6*0)

log(0) + log(-1) = log(0)

We run into a roadblock. We cannot take the log of 0 or anything negative. The domain of y = log(x) is x > 0. So we cross x = 0 off the list.

Now let's check x = 4

log(2x) + log(x-1) = log(6x)

log(2*4) + log(4-1) = log(6*4)

log(8) + log(3) = log(24)

log(8*3) = log(24)

log(24) = log(24)

We've confirmed x = 4. This is the only solution.

The point estimate of the population mean is 9

The point estimate of the population standard deviation is 2.83

Part a

Point estimate of population mean:

Given the sample data is 5,8,10,7,10,14

Number of samples, n is 6

Population mean=\(\frac{\sum x }{n}\)

                           =(5+8+10+7+10+14)/6

                           =54/6

                           =9

Point estimate of mean=9

Part b

Point estimate of population standard deviation:

Mean=9

Data (x)     (x-mean)^2

5                16

8                1

10               1

7                 4

10               1

14               25

Total           48

Standard deviation=√(x-mean)^2/n

                               =√48/6

                               =√8

                               =2.83

Hence, the point estimate of population standard deviation is 2.83

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The h'(3) = h'(x)|x=3 = 22. We can see from the calculation that the value of h'(3) depends on the slopes of both f(x) and g(x) at x=3, as well as their values at x=3.

To evaluate h'(3) for h(x) = f(x) * g(x), we will use the product rule. The product rule states that if h(x) = f(x) * g(x), then h'(x) = f'(x) * g(x) + f(x) * g'(x).
Given the graphs of f(x) and g(x), we need to find the values of f(3), g(3), f'(3), and g'(3).
1. Locate the point x = 3 on the graph of f(x) and determine the value of f(3).
2. Locate the point x = 3 on the graph of g(x) and determine the value of g(3).
3. Determine the slope of the tangent line at x = 3 on the graph of f(x), which represents f'(3).
4. Determine the slope of the tangent line at x = 3 on the graph of g(x), which represents g'(3).
Once you have the values of f(3), g(3), f'(3), and g'(3), plug them into the product rule formula:
h'(3) = f'(3) * g(3) + f(3) * g'(3)
After calculating, you'll get the value of h'(3). Please refer to the graphs of f(x) and g(x) to obtain the necessary values and complete the evaluation.

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Since the weight of each light is supported by three equally spaced wires, the tension in each wire is equal. The tension in each wire is T = 10 pounds.

Tension is the force exerted by a rope, string, cable, or other object that is being pulled tight. It is a measure of the amount of stretching or pulling force that the object can withstand.

The formula for calculating tension depends on the specific situation and the factors that are involved. Some common formulas for calculating tension include:

For a uniform horizontal rope or cable that is supporting a load: T = W / n

where T is the tension in the rope or cable, W is the weight of the load, and n is the number of ropes or cables supporting the load.

For a uniform vertical rope or cable that is supporting a load: T = W / s

where T is the tension in the rope or cable, W is the weight of the load, and s is the number of ropes or cables supporting the load.

For a rope or cable that is being pulled by a force F at an angle θ to the horizontal: T = F * cos(θ)

where T is the tension in the rope or cable, F is the force applied to the rope or cable, and θ is the angle between the force and the horizontal.

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In order to find:

g(–3) − f(–5),

we first want to find g(–3) and f(–5).

In order to find them we just have to replace x on their equations:

g(-3)

We just replace x by -3 in the equation

And now, we solve it

Then, g(-3) = -25

f(-5)

We just replace x by -5 in the equation

And now, we solve it

then, f(-5) = 68

g(–3) − f(–5)

Since

g(-3) = -25

and

f(-5) = 68

then

g(–3) − f(–5) = -25 - 68 = -93

Answer: g(–3) − f(–5) = -93

Answer:

Step-by-step explanation:

By this theorem (I forgot what it's called, but I learned it this year), QS^2 = PSxSR.

So:

9x34=QS^2

306=QS^2

QS is about 17.5

To find the height of a triangle using trigonometry, you can use the sine or cosine ratios. The specific ratio to use depends on the information you have about the triangle.

If you have the length of one side of the triangle and the measure of the angle opposite that side, you can use the sine ratio to find the height. The sine ratio is defined as the length of the side opposite the angle divided by the length of the hypotenuse.

Here are the steps to find the height using the sine ratio:

1. Identify the side of the triangle that represents the height.
2. Determine the angle opposite that side.
3. Measure the length of the side adjacent to the angle or obtain that information from the problem.
4. Use the sine ratio: height = length of adjacent side * sin(angle).

For example, let's say you have a right triangle with an angle of 30 degrees and a side adjacent to that angle measuring 6 units. To find the height, you would use the sine ratio:

height = 6 * sin(30)
height ≈ 3 units

If you have the length of two sides of a right triangle and you need to find the height, you can use the cosine ratio. The cosine ratio is defined as the length of the side adjacent to the angle divided by the length of the hypotenuse.

Here are the steps to find the height using the cosine ratio:

1. Identify the side of the triangle that represents the height.
2. Determine one of the acute angles of the triangle.
3. Measure the lengths of the two sides adjacent to that angle or obtain that information from the problem.
4. Use the cosine ratio: height = length of adjacent side * cos(angle).

For example, let's say you have a right triangle with an angle of 45 degrees and two sides adjacent to that angle measuring 4 units and 4√2 units. To find the height, you would use the cosine ratio:

height = 4 * cos(45)
height ≈ 2.828 units

In summary, to find the height of a triangle using trigonometry, you can use the sine or cosine ratios. The sine ratio applies when you have the length of one side and the angle opposite that side, while the cosine ratio applies when you have the lengths of two sides adjacent to an angle.

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(a) The log returns of Apple Inc and Johnson & Johnson do not follow a normal distribution.

(b) The tails of the log returns of both stocks are compared with a t-distribution with 4 degrees of freedom.

(a) To determine if the log returns of Apple Inc and Johnson & Johnson follow a normal distribution, we can perform a normality test, such as the Shapiro-Wilk test, Anderson-Darling test, or Kolmogorov-Smirnov test, on the log return data. If the p-value from the test is less than the chosen significance level (e.g., 0.05), we reject the null hypothesis of normality.

(b) To compare the tails of the log returns with a t-distribution, we can fit a t-distribution with 4 degrees of freedom to the data and compare the probability density functions (PDFs) of the t-distribution and the empirical distribution of the log returns.

This can be visually assessed by plotting the PDFs or quantitatively analyzed using statistical measures such as the Kullback-Leibler divergence or the Kolmogorov-Smirnov test.

(c) To compare the distributions of the log returns during the 2008 financial crisis and two years after the crisis, we can create side-by-side boxplots, histograms, and QQ-plots. The boxplots will show the distribution's central tendency, spread, and skewness.

The histograms will provide a visual representation of the frequency distribution, and the QQ-plots will compare the quantiles of the log returns with the theoretical quantiles of a normal distribution.

(d) To determine the appropriate degree of freedom for modeling the log returns of Apple Inc two years after the financial crisis, we can fit various t-distributions with different degrees of freedom to the data and compare their goodness-of-fit using statistical measures like Akaike Information Criterion (AIC) or Bayesian Information Criterion (BIC).

The best fitting t-distribution will have the lowest AIC or BIC value. A QQ-plot and a histogram with the overlayed density of the best fitting t-distribution can be used to visually assess the goodness-of-fit.

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Answer:

1 inch:2 feet

Step-by-step explanation:

Answer: 20.5

Step-by-step explanation:

83=4x+1

-1=-1

82=4x

82/4=20.5

x=20.5

Answer:

x = 24

Step-by-step explanation:

180° - 83° = 97

4x + 1 = 97

4x  - 1 =  -1      subtract from both sides

4x = 96          divide each side by 4 ( 96 ÷ 4 )

x = 24

--------------------------------------------------------------------------------------------------------------

If you want to check that the answer is correct then plug in 24 as x

4(24) + 1 = 97

96 + 1 = 97

--------------------------------------------------------------------------------------------------------------

My comment: is that an exponent next to the equation?  

The given initial value problem is a second-order linear homogeneous differential equation. To solve it, we first find the characteristic equation by substituting y = e^(rx) into the equation. This leads to the characteristic equation r^2 - 10r + 50 = 0.

The general solution of the differential equation is y(x) = e^(5x)(C₁cos(5x) + C₂sin(5x)), where C₁ and C₂ are constants determined by the initial conditions.

To determine the particular solution, we differentiate y(x) to find y'(x) = e^(5x)(5C₁cos(5x) + 5C₂sin(5x) - C₂cos(5x) + C₁sin(5x)), and then differentiate y'(x) to find y''(x) = e^(5x)(-20C₁sin(5x) - 20C₂cos(5x) - 10C₂cos(5x) + 10C₁sin(5x)).

Substituting the initial conditions y(0) = 1 and y'(0) = 5 into the general solution and its derivative, we obtain the following equations:

1 = C₁,

5 = 5C₁ - C₂.

Solving these equations, we find C₁ = 1 and C₂ = 4.

Therefore, the particular solution to the initial value problem is y(x) = e^(5x)(cos(5x) + 4sin(5x)).

To find the value of y when x = 1.52, we substitute x = 1.52 into the particular solution and evaluate it. The result will depend on the rounding instructions provided.

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When a distribution is skewed to the left, the mean is less than the median because the tail of the distribution is longer on the left side, which pulls the mean towards the lower values.

On the other hand, when a distribution is skewed to the right, the mean is greater than the median because the tail of the distribution is longer on the right side, which pulls the mean towards the higher values.

In a symmetric distribution, where the data is evenly distributed around the center, the mean and median are equal.

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The greatest number of 4 cm cubes that Haley can fit in the box and still be able to close the lid is 6.

First, we need to determine the dimensions of the box in terms of the length of a side of a cube. We can do this by finding the smallest dimension of the box and dividing it by the length of the side of a cube.

The smallest dimension of the box is the height, which is 6 cm. Therefore, the length of the side of a cube must be a factor of 6.

The length and width of the box are both 8 cm, so the length of the side of a cube must be less than or equal to 8 cm.

We can check the factors of 6 to find the largest possible size of the cube that can fit in the box:

A cube with side length 6 cm would fit in the box, but the lid would not be able to close.

A cube with side length 4 cm would fit in the box, and the lid would be able to close, so this is the largest size cube that can fit in the box.

To determine how many 4 cm cubes can fit in the box, we need to find the volume of the box and divide by the volume of a single cube. The volume of the box is:

V_box = length x width x height

V_box = 8 cm x 8 cm x 6 cm

V_box = 384 cm³

The volume of a single 4 cm cube is:

V_cube = side length³

V_cube = 4 cm x 4 cm x 4 cm

V_cube = 64 cm³

Dividing the volume of the box by the volume of a single cube gives us the maximum number of cubes that can fit in the box:

384  / 64  = 6

Therefore, the greatest number of 4 cm cubes that Haley can fit in the box and still be able to close the lid is 6.

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The solution of the given expression (7/45 x 9/49) is 1/35.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 7/45 x 9/49. The expression will be simplified as below,

E = 7/45 x 9/49

E = 1 / 5 x 1 / 7

E = 1 / ( 5 x 7 )

E = 1 / 35

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Answer:

Step-by-step explanation:

8.6f-7.2f+9.2-7.2=1.4f+2=2(0.7f+1)

Step-by-step explanation:

13.8564064606

hope it helps

Answer

(x2−2–√)2=2(x2−2)2=2

x2−2–√=±2–√x2−2=±2

x2=2–√±2–√x2=2±2

x2=0x2=0 or 22–√22

x=0x=0 or ±22–√−−−−√±22

x=0,±8−−√4x=0,±84

Step-by-step explanation:

hope it helps

Answer:

Centre of D =  -0.3 , 0.6

( 4 , 6 )

( 8 , 3 )

Step-by-step explanation:

None Needed

Music us enjoy to --- and said aaaa

Answer: 74.93

Step-by-step explanation:   if you heard of the line equals line method this should be able to help you.  

299.75                     25%

---------------=------------------  

$1199                     100%      

so you cross multiply 1199 and 25 and then divide it by 100.   which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.  

299.75 divided by 4= 74.93  

hope this helps

Answer:

379.37

Step-by-step explanation:

I just did it the manual way

1199-25%=899.25

(25% of 1199 is 299.75)

899.25-25%=674.44

(25% of 899.25 is 224.81)

674.44-25%=505.83

(25% of 674.44 is 168.61)

505.83-25%= 379.37

(25% of 505.83 is 126.5)

I just took a test with this question

Answer:

b

Step-by-step explanation:

e2021

Answer:

Which graph represents y = \(\sqrt{x}\)

Step-by-step explanation:

Answer B Edge 2022

Answer:

total question = 30

question from ch 5 = 6

remaining questions = 30-6 = 24

ratio = 6 : 24 = 1 : 4 answer

Answer:

Step-by-step explanation: