Find the area of the shaded region. All angles are right angles.
5m
30 m
20m
5m

The critical value t for the given parameters is approximately 1.753.

To determine the critical value t for a 85% confidence interval with degrees of freedom (df) equal to 15, we can use a t-distribution table or a statistical software.

The critical value t depends on the desired confidence level and the degrees of freedom. In this case, with a confidence level of 85% and 15 degrees of freedom, we need to find the value from the t-distribution table.

Consulting a t-distribution table or using statistical software, the critical value t for a 85% confidence interval with 15 degrees of freedom is approximately 1.753 (rounded to three decimal places).

Therefore, the critical value t for the given parameters is approximately 1.753.

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Determine the critical value t for a 85% confidence interval with df=15.

The critical value t is: _____

(Provide your answer with 3 decimal places)

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

-2/-0.25=8

4/0.5=8

Step-by-step explanation:

both of their answers are 8

Step-by-step explanation:

y = f(x)

this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.

so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),

y = 12 + (3/4)x

is the same as

f(x) = 12 + (3/4)x

you could also write it as

f(x) = 12 + 3x/4

don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.

Answer:

1594

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1

3

−

1

4

=

1

3

+

−1

4

=

4

12

+

−3

12

=

4+−3

12

=

1

12

The super burger uses \(\(1/12\)\) pound more meat than the big burger, with\(\(1/3\)\) and \(\(1/4\)\) pounds respectively.

You can divide the amount of meat in the big burger by the amount in the super burger to determine how much more meat is used for the super burger than the big burger.

Amount of meat in the big burger: 1/4 pound

Amount of meat in the super burger: 1/3 pound

Difference = Amount in super burger - Amount in big burger

Difference =\(\(1/3\) - \(1/4\)\)

To subtract these fractions, you need a common denominator. The least common multiple of 3 and 4 is 12.

Difference = \(\(\frac{4}{12}\) - \(\frac{3}{12}\)\)

Difference =\(\(\frac{1}{12}\)\)

So, the super burger uses \(\(1/12\)\) pound more meat than the big burger.

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Answer:

Step-by-step explanation:

x - 10+ 9x = - 1 + 10x

-10 + 1 = -x - 9x + 10x

-9 = 0

the equation is false

Answer:

x squared over 4 plus and squared over 8 equals 1, x^2/4 + y^2/8 = 1

Step-by-step explanation:

We have that the general ellipse equation is as follows:

x^2/a^2 + y^2/b^2 = 1

Furthermore, the foci is (0, c) and b> a we have to:

c ^ 2 = b ^ 2 - a ^ 2

However,

guideline x = + - b / e and foci (0, + - ab)

where is e is the eccentricity, therefore:

b / e = 4, then e = b / 4

and we also have b * e = 2, we replace:

b * (b / 4) = 2

b ^ 2 = 8

replacing:

2 ^ 2 = 8 - a ^ 2

a ^ 2 = 8 - 2 ^ 2

a ^ 2 = 8 - 4

a ^ 2 = 4

Therefore if we replace in the general equation it would be

x^2/4 + y^2/8 = 1

that is, x squared over 4 plus and squared over 8 equals 1

Answer:

x^2/4 + y^2/8 = 1

Step-by-step explanation:

Answer:

through a given plane

Step-by-step explanation:

Answer:The equation of perpendicular line is  

y

=

−

5

3

x

+

17

3

.

Explanation:

The slope of the line  

y

=

3

5

x

−

6

is  

m

1

=

3

5

[obtained by

comparing standard slope-intercept form of line with slope

m

;

y

=

m

x

+

c

] . We know the product of slopes of two

perpendicular lines is  

−

1

, i.e  

m

1

⋅

m

2

=

−

1

or

3

5

⋅

m

2

=

−

1

or  

m

2

=

−

5

3

. Let the equation of perpendicular line in

slope - intercept form is  

y

=

m

x

+

c

;

m

=

m

2

=

−

5

3

∴

y

=

−

5

3

x

+

c

. The line passes through point  

(

1

,

4

)

, which

will satisfy the equation of line  

∴

4

=

−

5

3

⋅

1

+

c

∴

c

=

4

+

5

3

or  

c

=

17

3

Hence the equation of perpendicular line is

y

=

−

5

3

x

+

17

3

Answer:

$4.76

Step-by-step explanation:

It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.

We have to find 170% of the cost of making each sandwich ($2.80):

170/100 * 2.80 = $4.76

The sandwich sells for $4.76

Answer:

ben

Step-by-step explanation:

The inequality expression is 8.8t < 55 + 6.6t and your friend will be ahead for at most 25 seconds

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The given parameters are

Your rate, r1 = 6 miles per hour

Your friend's rate, r2 = 6.6 feet per second

Distance apart = 55 feet

Convert your rate to feet per second, we have

Your rate, r1 = 6 * 1.47 feet per second

Evaluate

Your rate, r1 = 8.8 feet per second

To calculate the time that your friend is ahead of you, we use the following expression

r1 * t < distance apart + r2 * t

So, we have

8.8t < 55 + 6.6t

Collect the like terms

So, we have

8.8t - 6.6t < 55

Evaluate the like terms

So, we have

2.2t < 55

Divide both sides by 2.2

So, we have

t < 25

Hence, the inequality expression is 8.8t < 55 + 6.6t and your friend will be ahead for at most 25 seconds

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Step-by-step explanation:

5 +0.24 = 5 + 24 = 12 = 6

100 50 25

= 5 6

25

Answer:

A =452.16 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = 3.14 (12)^2

A =452.16 ft^2

Answer:

452.16ft^2

Step-by-step explanation:

So to answer this You need to use the formula A=πR^2

Answer:

The length of other side = 4 cm

Step-by-step explanation:

Given :

longest side = H = 8 cm

one side = P = 4√3

The other side will be H² = P² + B²

=> 8² = (4√3)² + B ²

=> 64 = 48 + B²

=> 64 - 48 = B²

=> 16 = B²

=> √16 = B

=> B = 4

Let the lengths of sides be a, b and c (hypotenuse).

Hypotenuse is the longest side , So c = 8.

\(\sf{Let \: b = 4\sqrt{3}}\)

From the pythagoras theorem :

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

\(a^2 + (4\sqrt{3})^2= 8^2\)

\(a^2 + 16 (3) = 64\)

\(a^2 +48=64\)

\(a^2 = 16\)

\(a = 16 / 2\)

\(a = 4\)

The third side is 4 cm.

Answer:

it is 15 percent than

Step-by-step explanation:

hope i could help

Answer: 3/4

Step-by-step explanation:

Let's start with what we know. We have:

5x - 2x - 2 = 1/4

We multiply everything by 4:

12x - 8 = 1

We add 8 to both sides:

12x = 9

We divide by 12:

x = 9/12

We simplify:

x = 3/4

There are infinitely many possible Jordan normal forms for a non-diagonalizable 5x5 complex matrix.

Given that A is a 5x5 complex matrix, the possible characteristic polynomial will have degree 5, and the minimal polynomial will divide the characteristic polynomial and have degree at most 5.

If A is not diagonalizable, then there will be at least one Jordan block in the Jordan normal form of A. The size of the largest Jordan block will be equal to the algebraic multiplicity of the corresponding eigenvalue. Since the characteristic polynomial has degree 5, there can be at most 5 Jordan blocks, and their sizes must sum to 5.

Therefore, the possible Jordan normal forms for A are:

A single 5x5 Jordan block

Two Jordan blocks, one of size 4 and one of size 1

Two Jordan blocks, one of size 3 and one of size 2

Three Jordan blocks, one of size 3 and two of size 1

Three Jordan blocks, one of size 2 and two of size 1

Four Jordan blocks, each of size 1

The minimal polynomial will be the product of linear factors corresponding to the distinct eigenvalues of A, and each factor will have multiplicity equal to the size of the largest Jordan block corresponding to that eigenvalue.

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Answer:

Equation: 3 + 1/4c = 9

24 pieces of cake

Step-by-step explanation:

from khan :))

Answer:

\( - i\)

Step-by-step explanation:

Set up equation.

\(i {}^{3} = y\)

\( {i}^{2 } \times i = y\)

\( - 1 \times i = y\)

\( - i = y\)

Answer:

Step-by-step explanation:

k ≤ -3-8 subtract 8 from both sides

k ≤ -11

the solution is the area to the left of a vertical line trough the point x= -11 and includes thhe line

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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The voltage divider formula is used to calculate the output voltage of a circuit that is divided into two parts.It is expressed as Vout=Vin*(R2/(R1+R2))

It is expressed as Vout=Vin*(R2/(R1+R2)), where Vout is the output voltage, Vin is the input voltage, R1 is the resistance of the first part, and R2 is the resistance of the second part. The voltage divider formula is based on Ohm's Law, which states that the voltage across a circuit is equal to the current multiplied by the resistance. When a voltage is divided across two parts, the voltage in each part is equal to the voltage of the circuit multiplied by the resistance of each part. To calculate the output voltage, multiply the input voltage by the resistance of the second part, then divide it by the sum of the resistances of both parts. For example, if the input voltage is 10V and the resistances of the two parts are 5 Ohms and 10 Ohms, the output voltage would be Vout=(10V)*(10Ω/(5Ω+10Ω))=6.67V.

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Result:

A (is an angle)  = 70°.

Based on the provided information:

AB = BC

BCD = 110

We can use the information to find the value of A.

Since AB = BC, we can assume that triangle ABC is an isosceles triangle, where AB and BC are the two equal sides. For an isosceles triangle, the angles opposite to the equal sides are also equal.

So, ∠ABC = ∠BCA (opposite angles of an isosceles triangle are equal).

Since BCD = 110, we can deduce that  ∠BCA + ∠ BCD = 180 (sum of angles in a triangle equals 180 degrees).

Substituting the values, we get:

∠BCA + 110 = 180

Subtracting 110 from both sides, we get:

∠BCA = 180 - 110

∠BCA = 70

Now, since ∠ABC = ∠BCA, we have:

∠ABC = 70°

Therefore, A = 70 degrees.

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The probability of an event {a or b} is 0.7

Probability: It is the branch of mathematics concerning numerical, descriptions of how likely an event is to occur or how likely it is that a proposition is true. the probability of an event is a number between

0 and 1.

if the two events a and b are mutually exclusive then the addition rule of probability is:

P( a or b) = P(a) + P(b) - P(a∩ b)

Given that,

P(a) = 0.6                    P(b) = 0.5

               P(a ∩ b)= 0.4

According to probability methods, if two events are mutually exclusive, then the probability of either occurring is denoted as P (a ∪ b).

Now, we know that,

P( a ∪ b) = P(a) + P(b) - P( a ∩ b)

              = 0.6 + 0.5 - 0.4

              = 0.7

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Answer:

The equation for this line would be y = -20x + 200. The y-intercept is 200 and represents the amount of money Mrs. Temps owes Mrs. Abruzzino in the beginning. The slope is -20 which represents how much Mrs. Temps pays back Mrs. Abruzzino each month. The x-axis should increase by 1 months.

Step-by-step explanation: