Draw and label three-dimensional figures to represent thebeaker and the bowl.

The type of r.v.R is a continuous random variable, since its possible values form a continuous interval [0,1].

The sample space of R is the interval [0,1], since the distance from the origin to any point inside the unit circle is between 0 and 1.
To find P(R < r), we need to find the probability that the randomly selected point falls inside a circle of radius r centered at the origin. The area of this circle is πr^2, and the area of the entire unit circle is π, so the probability is P(R < r) = πr^2/π = r^2.
The cdf of R is the function F(r) = P(R ≤ r) = ∫0r 2πx dx / π = r^2, where the integral is taken over the interval [0,r]. This is because the probability that R is less than or equal to r is the same as the probability that the randomly selected point falls inside the circle of radius r centered at the origin, which has area πr^2. The cdf of R is a continuous and increasing function on the interval [0,1].

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Answer: x<-9

Step-by-step explanation:

4x-45<\(x^{2}\)

x^2+4x-45<0

factor

(x+9)(x-5)<0

x<-9,x<5

the negative solution is x<-9

Answer:

its manage to depreciate and that's all

Answer:

Effective stress management helps you break the hold stress has on your life, so you can be happier, healthier, and more productive. The ultimate goal is a balanced life, with time for work, relationships, relaxation, and fun—and the resilience to hold up under pressure and meet challenges head on.

Step-by-step explanation:

These include:

– Exercising regularly and adopting a healthy lifestyle.

– Exploring stress coping programs, which may incorporate meditation, yoga, tai chi, or other gentle exercises.

– Engaging socially.

– Avoiding unnecessary stressors by setting priorities and learning to say “no” to tasks.

Answer:

0.542

Step-by-step explanation:

divide the liter by 1000 and get your answer! have a great day

542 liters is approximately equal to 0.542.

Given that a quantity, 542 L we need to convert it into kL,

To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.

In this case, to convert 542 L to kL, you can use the following formula:

kL = L / 1000

Plugging in the given value:

kL = 542 L / 1000

Dividing 542 by 1000, you get:

kL ≈ 0.542 kL

Therefore, 542 liters is approximately equal to 0.542.

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To determine the p-value corresponding to a z-test statistic of 1.47 in a right-tailed test, we need to find the probability of obtaining a z-value equal to or greater than 1.47.

The p-value is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated under the null hypothesis.

Using a standard normal distribution table or calculator, we can find the area to the right of 1.47. This area represents the probability of obtaining a z-value greater than 1.47.

Looking up the z-score of 1.47 in a standard normal distribution table, we find that the corresponding area is approximately 0.9292.

Since this is a right-tailed test, the p-value is equal to the area to the right of the test statistic. Therefore, the p-value is approximately 0.9292.

Thus, the p-value is approximately 0.9292 or 92.92%.

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The density of the object is 0.0018 g/mL.

To calculate the density of the object, we need to use the formula:

Density = Mass / Volume

Given that the mass of the object is 4.70g and the volume is 2.55L, we can substitute these values into the formula:

Density = 4.70g / 2.55L

We need to convert the units of mass and volume to a consistent unit. Let's convert the volume from liters to milliliters (1L = 1000mL):

Density = 4.70g / 2550mL

Now we can simplify by dividing both the numerator and denominator by 10:

Density = 0.47g / 255mL

Finally, we can express the answer in units of g/mL:

Density = 0.0018 g/mL

Therefore, the density of the object is 0.0018 g/mL.

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Answer:

12 x -7 = -84 12 + (-7) = 5

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

a parallelogram is defined as a four sided figure with opposite sides parallel. This could include many shapes such as rectangles, so it's not ONLY rhombi.

all rhombuses are parallelograms, but not all parallelograms are rhombuses, so no ! ♡

Answer:

x = -4

Step-by-step explanation:

Step 1: Define

j(x) = 3x + 1

j(x) = -11

Step 2: Substitute and solve for x

-11 = 3x + 1

-12 = 3x

x = -4

Student A is wrong and Student B is correct.

How?

Step-by-step explanation:

3. is A x^2 -6x -7

4. is C 7x^2 - 4x + 2

7 B

8 A

9 D

Answer:

\(question3. \: x {}^{2} - 6x - 7 \\question4. \: 7x {}^{2} - 4 x + 2 \\ question7. \: x {}^{2} - 6x + 5 \\ question8.\: 7x {}^{2} - 7x - 8 \\ question9.\: - 2x + 9\)

Essentially, we want to find the number of ounces of dough she used to measure:

   ⇒ which means that we must convert the:

      ⇒ grams of dough to ounces of dough

        ⇒ 28.6 grams  = 1 oz

Essentially,we can set up a proportion:

    ⇒ 28.6 grams to 1 oz

        ⇒ is to 200.2 grams to 'x' oz

  (mathematically)

   \(\frac{28.6}{200}=\frac{1}{x} \\28.6x = 2000\\x = 6.99\)

Thus 200.2 grams is to 7 oz (rounded)

Answer: 7 ounces

Hope that helps!

Answer:

b

Step-by-step explanation:

Answer:

(C). b + (2 × 35) = 180; b = 110°

Step-by-step explanation:

Answer:

$52.44

Step-by-step explanation:

The total cost of pair of shoes to be paid after addition of 5% tax is equal to $52.45.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that a pair of shoes costs $49.95. An extra tax is applied which is of 5%. Here we need to use two arithmetic operations which is multiplication and addition. Firstly we need to find the original value of tax by multiplying the original cost of shoes by 5% i.e.,

The tax will be of :

= 49.95 × \(\frac{5}{100}\)

= $2.4975

Now add this tax value to original cost of pair of shoes and resulted cost will be equal to :

= $49.95 + $2.4975

= $52.45

Therefore , the total cost of pair of shoes to be paid after addition of 5% tax is equal to $52.45.

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A linear equation in two variables has only 1 solution.

Now, According to the question:

Let's know:

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equation in two variables, it has two solutions.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0.

A linear equation in two variables has only 1 solution.

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To determine which of the two forecasts (a or b) is more accurate, you must compare their MAD values. The forecast with the lower MAD value is considered more accurate. The MAD value of forecasts a and b can be calculated by finding the absolute value of the difference between each forecasted value and its corresponding actual value, then taking the average of those differences.

Explanation:

To calculate the MAD (Mean Absolute Deviation) for each forecast, you need to find the absolute value of the difference between the forecasted values and the actual values, then take the average of those differences. To calculate the MAD (Mean Absolute Deviation) for each forecast, you'll need to follow these steps:

Step 1: Find the absolute differences between the actual data points and the forecasted values.
Step 2: Sum up these absolute differences.
Step 3: Divide the total sum by the number of data points.


a) To determine which of the two forecasts (a or b) is more accurate, you must compare their MAD values. The forecast with the lower MAD value is considered more accurate, as it signifies smaller deviations from the actual data points.

b) The MAD value of forecast a can be calculated by finding the absolute value of the difference between each forecasted value and its corresponding actual value, then taking the average of those differences.

c) Similarly, the MAD value of forecast b can be calculated by finding the absolute value of the difference between each forecasted value and its corresponding actual value, then taking the average of those differences.

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For example, if the base of a parallelogram is 10 cm and the height is 5 cm, the area of the parallelogram would be 10 x 5 = 50 square cm.

The area of a parallelogram is the amount of space that it occupies in two-dimensional space. To find the area of a parallelogram, you can use the base and height of the parallelogram. The base is one of the parallel sides of the parallelogram, and the height is the distance between the base and the opposite side.

To find the area of a parallelogram without using a calculator, you can use the formula:

Area = base x height

Another way to find the area of a parallelogram without a calculator is to use the properties of parallelograms. A parallelogram can also be divided into two congruent triangles, and the area of a triangle can be found using the formula:

Area = (base x height) / 2

So, to find the area of a parallelogram without a calculator, you can divide it into two congruent triangles, find the area of one of the triangles, and then double that value to find the area of the parallelogram.

In summary, you can use the base and height of a parallelogram to find its area using the formula base x height, or you can divide the parallelogram into two congruent triangles and find the area of one of the triangles and double it to find the area of the parallelogram.

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Ok, the range is the set of values that the function can take in y, so according to the graph in this case it is:

The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

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Given that x is in quadrant 3, its value for tan x=1/2 will be 206.565°, and its value for cos(206.565°) will be -0.894.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry. The sine, cosine, and tangent are the three fundamental trigonometric operations. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical concepts are built.

Here,

Tan x=1/2

π<x<3π/2

x=tan⁻¹/²(1/2)

x=26.565°

As the x is in quadrant 3,

=180+26.565°

=206.565°

cos(206.565°)=-0.894

The value of x for tan x=1/2 will be 206.565° as x is in quadrant 3 and for the same value of x, cos(206.565°) will be -0.894.

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Answer:

-sqrt 5 - 2 sqrt 5/10

Step-by-step explanation:

Edge 2023

Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

Answer:

\(6 \times 2 + 2 \times 2 = 28 \\ \\ 6 \times 3 \times 2 = 36 \\ \\ 3 \times 4 \times 2 = 24 \\ \\ 28 + 36 + 24 = 88cm {}^{2} \)

Answer:

102

Step-by-step explanation:

We can find x by using the fact that the angles in a triangle add up to 180.

73+42+x=180

x = 65

We can find y by using the fact that angles on a straight line add up to 180.

131+y=180

y=49

We can find the third angle in that triangle.

65+49+n=180

Let n represent the third angle in the triangle.

n=66

Then z + n = 180

z + 66 =180

z= 144

Let the angle in the bottom left be i

z+i = 180

144 + i = 180

i = 36

Let's find l.

The angles in a triangle add up to 180.

36 + 49 + l =180

l = 95

y is a vertical angle.

95+ y + u = 180

95+49+u=180

u=36

180-36=144

then the right triangle (with angle of 42) has a corner of 36.

36+42+t = 180

t= 102

102 + f = 180

f = 78

f + w = 180

78 + w = 180

w = 102

The required specific energy increases with increasing depth and the water surface profile will be rapidly varied.

To determine the type of water surface profile for different depths in the rectangular channel, we can use the concept of specific energy and Manning's equation.

The specific energy (E) is given by the equation:
E = y + (V² / (2g)) + (Sf * x)

Given values:
Width of the rectangular channel (b) = 2.45 m
Discharge (Q) = 2.83 m³/sec
Bed slope (Sf) = 0.003
Manning's roughness factor (n) = 0.015

For each depth, we can calculate the velocity (V) using Manning's equation and then determine the specific energy (E) using the equation mentioned above.

Depth 1 (y₁ = 1.52 m):

First, let's calculate the velocity (V₁) using Manning's equation:\(V_1 = (1/n) * (R_1^{2/3}) * (S_f^{(1/2)})\)

The hydraulic radius (R₁) can be calculated as:
R₁ = (b * y₁) / (b + 2y₁) = (2.45 * 1.52) / (2.45 + 2 * 1.52) ≈ 0.678 m

Substituting the values
\(V_1= (1/0.015) * (0.678 ^{2/3}) * (0.003^{1/2})\) ≈ 2.81 m/s

Now, let's calculate the specific energy (E₁) using the equation:
E₁ = y₁ + (V₁² / (2g)) + (Sf * x)

Substituting the values:
E₁ = 1.52 + (2.976² / (2 * 9.81)) + (0.003 * x)

The above expression shows, the specific energy increases with increasing depth, and the water surface profile will be rapidly varied.

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Given question is incomplete, the complete question is:
2.45-m wide rectangular channel with a discharge of 2.83 m³/sec. has a bed slope of 0.003 and Manning's roughness factor of 0.015. What is the type of water surface profile for depths of 1.52 m, whether it is rapidly varied or not?

Answer:

28 cups of Flower

Ratio Table:

2,4,6,8

7,14,21,28

Step-by-step explanation:

2x4/7x4=8/28

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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