Find ln 0. 732 to four decimal places



A.


-0. 5227


B.


-0. 3120


C.


-0. 4624


D.


-0. 4719

The probability of the intersection of events A and B is given as follows:

P(A and B) = 0.12.

The parameters that are needed to calculate a probability are given as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The number of desired outcomes in the context of this problem is given as follows:

6 -> intersection of A and B.

The number of total outcomes is given as follows:

6 + 6  + 20 + 20 = 52.

Hence the probability is given as follows:

p = 6/52 = 0.12.

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Answer:

y intercept: (0, 4); x intercept: (6, 0)

Step-by-step explanation:

to find the x and y intercepts of the line we can plug numbers in

we can turn x into 0 to find the y intercept

2(0) + 3y = 12

0 + 3y = 12

y = 4

this means that your y intercept is (0, 4)

then we can turn y into 0 to find the x intercept

2x + 3(0) = 12

2x + 0 = 12

x = 6

this means that your x intercept is (6, 0)

Answer:

H(10) Would be the time, in minutes the balloon spent in air . H(10) Means the balloon spent 10 minutes in air

C. Yes, both member variables and methods are inherited by a subclass.

In object-oriented programming, a subclass inherits both the member variables and methods from its superclass. This means that the subclass can access and use the same member variables and methods as the superclass.

Inheritance allows the subclass to extend or modify the behavior of the superclass by adding new variables and methods or overriding the existing ones. This is a key feature of object-oriented programming, as it allows for code reuse and facilitates the creation of hierarchies and relationships between classes.

Therefore, the correct answer is C: Yes, both member variables and methods are inherited by a subclass, allowing it to extend or modify the behavior of the superclass.

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Answer:

Original price of ticket = $12.5

Step-by-step explanation:

Given:

8% amount = $1

Find:

Original price of ticket

Computation:

Original price of ticket = 1(100/8)

Original price of ticket = $12.5

Answer:

no, not at all

Step-by-step explanation:

you apply the distributive property. x times 3x equals 3x^2 which is different from 4x.

Answer: i think 80 not sure tho i failed my last test

Step-by-step explanation:

Answer:

80  in

Step-by-step explanation:

Because this is a right triangle we can find the length of the missing side using the Pythagorean Theorem

Given the hypotenuse and one leg we do

\(c^2-b^2=a^2\)

where c = hypotenuse and b = leg

\(82^2=6724\\18^2=324\\6724-324=6400\\\sqrt{6400} =80\)

so we can conclude that the missing side length is equal to 80

Answer:

4/3

Step-by-step explanation:

rise .     4

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

run .      3

Each of the equations of parabolas should be matched with the x-intercepts of the parabolas as follows;

In Mathematics and Geometry, the x-intercept of any function refers to the point at which the graph of a function crosses the x-coordinate and the y-value of "f(x)" is equal to zero (0).

Next, we would determine the x-intercept of each of the equations of parabolas (quadratic functions) as follows;

y = x² + x - 12

0 = x² + x - 12

0 = x² + 4x - 3x - 12

0 = (x + 4)(x - 3)

Therefore, the x-intercept are (-4, 0) and (3, 0).

y = x² + 5x + 4

0 = x² + 5x + 4

0 = x² + 4x + x + 4

0 = (x + 4)(x + 1)

Therefore, the x-intercept are (-4, 0) and (-1, 0).

y = x² - 5x - 24

0 = x² - 5x - 24

0 = x² - 8x + 3x - 24

0 = (x - 8)(x + 3)

Therefore, the x-intercept are (-3, 0) and (8, 0).

y = -x² - 5x + 14

0 = -x² - 5x + 14

0 = -x² - 7x + 2x + 14

0 = (x - 7)(x + 2)

Therefore, the x-intercept are (-2, 0) and (7, 0).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The width of the interval will be is 5 or ( 49.5 , 54.5 ) .

Given :

The minimum value is called the lower class limit and the maximum value is called the upper class limit. For class interval 50-54, the lower class limit is 50 and the upper class limit is 54.

Class boundaries are the numbers used to separate classes. It is the real limits of a class. For non-overlapping classes, the lower class boundary of each class is calculated by subtracting 0.5 from the lower class limit. The upper class boundary of each class is calculated by adding 0.5 to the upper class limit.

Example: For class interval 50-54, the lower class boundary is 49.5 and the upper class class boundary is 54.5

Considering the question given, to get the real limits of the interval 50-54, 0.5 is subtracted from the lower class limit to give 49.5. Also, 0.5 is added to the upper class limit to give 54.5.

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Answer:

(2,2)

Step-by-step explanation:

(5+-1/2,8+-4/2)

(-2,2)

Answer:

265

Step-by-step explanation:

First, find 8^3. 8^3 is equivalent to 8*8*8=64*8=512

Now you have 9+512/2

Divide 512 by 2, which is 256.

9+256=265

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

$2,300 after 2 years

Step-by-step explanation:

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

The formula to find the coordinates of a bearing and distance is d = √(x₂ - x₁)² + (y₂ - y₁)²

Coordinates

In math, the coordinates refers the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

Given,

Here we need to find the coordinates of a bearing and distance.

Here we know that, the distance between two points is the length of the line segment that connects the two points in a plane.

And the formula to find the distance between the two points is usually given by

d =√((x2 – x1)² + (y2 – y1)²).  

Therefore, the formula is used to find the distance between any two points on a coordinate plane or x-y plane.

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Answer:

19

Step-by-step explanation:

the square root of 9 is 3

8×3-5

24-5= 19

Answer:

3

Step-by-step explanation:

i think because 12-9=3

Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3

Answer:

Step-by-step explanation:

\(T = \frac{1}{2}m^{2}+2m - 4\\\\T = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 - 2m - 4 = 0\)

Combine like terms

\(\frac{1}{2}m^{2}+2m - 2m - 4 - 4 = 0\\\\\frac{1}{2}m^{2} - 8 = 0\\\\\frac{1}{2}m^{2} =8\\\\m^{2} = 8*2\\\\m^{2} = 16\\\\m = \sqrt{16}\)

m = ± 4

An equation of the line that satisfies the given conditions is x = 2y + 13.

To find the equation of the line that passes through the point (-9, -11) and is perpendicular to the line passing through (-6, 1) and (-2, -1), we can use the slope-point form of a line.

First, we find the slope of the line passing through (-6, 1) and (-2, -1). The slope of this line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the values, we have:

m = (-1 - 1) / (-2 - (-6)) = -2 / 4 = -1/2

The slope of a line perpendicular to this line has a negative reciprocal, so the slope of the line through (-9, -11) that is perpendicular to this line is 1/2.

Next, we use the point-slope form of a line to find the equation of the line:

y - y1 = m (x - x1)

where (x1, y1) is a point on the line and m is the slope.

Plugging in the values, we have:

y - (-11) = 1/2 (x - (-9))

Expanding and simplifying, we get:

y + 11 = 1/2 (x + 9)

Multiplying both sides by 2, we get:

2y + 22 = x + 9

Subtracting 9 from both sides, we get:

2y + 13 = x

So, the equation of the line that satisfies the given conditions is:

x = 2y + 13

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

x+21 y

Step-by-step explanation:

Answer:

21.9 feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?

Given parameters

Altimeter of vivian at its lowest point = -9.6 feet

Altimeter of vivian at the top of the wheel = 12.3feet

Note that the sea level is at 0 feet.

change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:

= (12.3-0)+(0-(-9.6))

= 12.3+(0+9.6)

= 12.3+9.6

= 21.9 feet

From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.

The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.

Answer:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Step-by-step explanation:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Answer:

I. Mean = 15

II. Median = 15

Step-by-step explanation:

Given the following data;

Total number of students = 8

x = 18, 10, 20, 18, 12, 19,12, 11

F(x) = 18 + 10 + 20 + 18 + 12 + 19 + 12 + 11

F(x) = 120

To find the mean;

Mean = F(x)/n

Mean = 120/8

Mean = 15

To find the median;

Median refers to the middle number of a sorted data.

x = 10, 11, 12, 12, 18, 18, 19, 20

Middle numbers = 12 and 18

Median = (12 + 18)/2

Median = 30/2

Median = 15

The baker's percentage of water in the bread dough formula is 66.67%.

Given water is 32 fluid ounces

Flour is 48 ounces

Now convert the fluid ounces of water to weight ounces.

The conversion factor is different for each ingredient, as the density varies.

For water, 1 fluid ounce is equal to 1 ounce in weight.

So, 32 fluid ounces of water is equal to 32 ounces in weight.

Now calculate the baker's percentage of water:

Baker's Percentage of Water = (Weight of Water / Weight of Flour) × 100

Baker's Percentage of Water = (32 ounces / 48 ounces)  ×  100

Baker's Percentage of Water = (2/3)  ×  100

Baker's Percentage of Water = 66.67%

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When checking the adequacy of a regression model, Correlation must be greater than alpha, option A.

A. Correlation is important for understanding the relationship between variables in a regression model but is not a requirement for assessing its adequacy.

Adequacy is determined by factors such as constant variance of residuals, mean of residuals close to zero, and approximately normal distribution of residuals.

B. The residuals should have a constant variance (homoscedasticity): This assumption ensures that the variability of the residuals is consistent across all levels of the independent variable(s).

C. The mean of the residuals is close to zero: This assumption suggests that the model is unbiased, and the residuals have no systematic bias in their average values.

D. The residuals are approximately normally distributed: This assumption implies that the residuals follow a normal distribution.

Departure from normality may affect the validity of statistical tests and confidence intervals.

These three requirements (B, C, and D) are important to ensure that the regression model provides accurate and reliable estimates of the parameters and produces valid statistical inferences.

Therefore, the correct answer is A. Correlation must be greater than alpha.

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