For a population with u = 80 and ao = 10, what is the X value corresponding to z = -2.00? a) 78 b) 75 c) 70 d) 60

The function that is linear is the function that is a straight line

A linear function can be identified on a graph by its shape.

A linear function will always have a straight line.  So, if the graph of several functions, then the linear function would be a straight line.

To confirm that it is a linear function, you can check if it has the form y = mx + b, where m and b are constants.

In this form, m represents the slope of the line, which is a measure of how steep the line is.  and b is the y-intercept

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Answer:

a. Definition of segment Bisector

b. Line segment KM

c. Given

d. Definition of segment bisector

e. Reflexive property of congruence

f. SAS

g. CPCTC (Corresponding parts of congruent triangles are congruent)

Answer:

00 is the answer I got hope it helps

Answer:

Step-by-step explanation:

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Answer:

4 bags

Step-by-step explanation:

lxw

12x10=120

30x4=120

l=length

w=width

The correct rule describing the composition of Transformations is: R0,2 ∘ T0,10 ∘ R0,270°

The rule that describes the composition of transformations mapping rectangle PQRS to P''Q''R''S'', we need to analyze the given coordinates and determine the sequence of transformations.

Let's compare the coordinates of the corresponding points:

P (−3, −5) ↔ P'' (−5, 5)

Q (−2, −5) ↔ Q'' (−5, 4)

R (−2, −1) ↔ R'' (−1, 4)

S (−3, −1) ↔ S'' (−1, 5)

From the comparison, we can observe the following transformations:

1. Translation: The x-coordinate of P'' is obtained by subtracting 2 from the x-coordinate of P. The y-coordinate of P'' is obtained by adding 10 to the y-coordinate of P. This suggests a translation of (−2, 10).

2. Reflection: The x-coordinate of Q'' is obtained by reflecting the x-coordinate of Q across the y-axis. The y-coordinate of Q'' remains the same. This indicates a reflection across the y-axis.

3. Rotation: The coordinates of R'' and S'' are obtained by rotating R and S 270 degrees counterclockwise about the origin (0, 0).

Now, let's determine the composition of transformations:

The sequence of transformations that maps rectangle PQRS to P''Q''R''S'' is as follows:

1. Translation by (−2, 10)

2. Reflection across the y-axis

3. Rotation of 270 degrees counterclockwise about the origin

Therefore, the correct rule describing the composition of transformations is:R0,2 ∘ T0,10 ∘ R0,270°

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Answer:

7/10

Step-by-step explanation:

10 marbles in a bag 7 of them are blue and the (10-7)=3 green

P( blue) = blue / total

            = 7/10

Answer:

Step-by-step explanation:

To find the percentage decrease in the value of the car, we need to calculate the percentage difference between the original price and the current price.

Step 1: Calculate the difference between the original price and the current price.

$127,000 - $105,000 = $22,000

Step 2: Calculate the percentage difference by dividing the difference by the original price and multiplying by 100.

($22,000 / $127,000) x 100 = 17.32%

Therefore, the percentage decrease in the value of the car is 17.32%.

Explanation:

The percentage decrease is calculated by finding the difference between the original price and the current price and then expressing that difference as a percentage of the original price. In this case, the original price of the car is $127,000 and the current price is $105,000. The difference between these two prices is $22,000. To find the percentage decrease, we divide this difference by the original price ($127,000) and then multiply by 100 to express it as a percentage. The resulting percentage, 17.32%, represents the percentage decrease in the value of the car.

The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

0.180 is the sample mean weight of grapes, and what is the margin of error

The sample mean weight is the midpoint of the confidence interval:

sample mean = (lower limit + upper limit) / 2 = (15.875 + 16.595) / 2 = 16.235

Therefore, the sample mean weight of grapes is 16.235 ounces.

The margin of error is half of the width of the confidence interval:

margin of error = (upper limit - sample mean) = (16.595 - 16.235) / 2 = 0.180

Therefore, the margin of error is 0.180 ounces.

So the correct answer is: "The sample mean weight is 16.235 ounces, and the margin of error is 0.180 ounces."

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The domain of a linear transformation is the set of all possible input vectors that can be operated on by the transformation, and in this case, T is defined for input vectors with three components (x1, x2, x3), indicating that the domain of T is R3, the three-dimensional real coordinate space.

The domain of T is R3.

Given that A is an m x n matrix, where m > n, and Ax = 0 does not have a non-trivial solution, we can determine the number of pivot columns in matrix A.
Understand the conditions
Since Ax = 0 does not have a non-trivial solution, it means that the only solution is the trivial solution (x = 0).

This implies that the columns of A are linearly independent.
Determine the number of pivot columns
Since the columns of A are linearly independent, the number of pivot columns in A will be equal to the number of columns in A.

Since A has more rows than columns, it cannot have full column rank (i.e., n pivot columns), and therefore it has at most n-1 pivot columns.

If Ax=0 does not have a non-trivial solution, then the null space of A is trivial, meaning that the only solution to Ax=0 is the zero vector.

By the rank-nullity theorem, we know that the dimension of the null space of A is n minus the rank of A.

Since the null space is trivial, its dimension is zero, which means that the rank of A is n.

Therefore, A has exactly n pivot columns, which is the maximum possible given that m>n.

These n pivot columns correspond to linearly independent columns of A, and their existence ensures that Ax=0 has only the trivial solution.

Matrix A has n pivot columns.

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Answer:

-10

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

9=29+2x

-29  -29

-20=2x

x=-10

The cosine function of the form f(t) is f(t) = 12cos((π/360)(t - 270))

Let's denote the low tide as t = 0. Hence, the first low tide of a day will always be at t = 0. There is no vertical shift in the tide levels, so we can assume that the mean tide level is 0 inches.

Therefore, the high tide is 24 inches above the low tide.

The time period for the function is the time difference between two successive low tides which is equal to 12 hours or 720 minutes.

A cosine function can be written as f(t) = Acos(B(t-C)) + D where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

We can write a cosine function for the ocean tide as follows:f(t) = 24/2 cos((2π/720)(t - 270))

Here, the amplitude A is 24/2 = 12 since the high tide is 12 inches above the low tide.

The period B is 720 minutes since it takes 12 hours or 720 minutes for the tides to repeat themselves.The phase shift C is 270 since the high tide occurred halfway between the two low tides.

The vertical shift D is 0 because the mean tide level is 0 inches.

Hence, the required cosine function is f(t) = 12cos((π/360)(t - 270))

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Answer:

2\(x\) + 10

Steps:

1- Formulate

2- Simplify or expand

3- Multiply

4- Combine like terms

Answer:

2x² - 2x - 8y + 4

Step-by-step explanation:

Assuming you mean

2x² + 3x - 4y + 7 - (5x + 4y + 3) ← distribute parenthesis by - 1

= 2x² + 3x - 4y + 7 - 5x - 4y - 3 ← collect like terms

= 2x² - 2x - 8y + 4

The probability that he misses the train today is 0.135 or 13.5%.

P(Class runs late)=30%=0.30

P(Miss train ∣ Class runs late)=45%=0.45

General multiplication rule:

P(A and B)=P(A)×P(B ∣ A)

Using the general multiplication rule, we then obtain (and using that the student always catches his train if the class ends on time) :-

P( Miss train)=P( Miss train and Class runs late)=P(Class runs late)×P(Miss train ∣ Class runs late)

= 0.30×0.45

= 0.135

= or 13.5%.

So, the the probability that he misses the train today is 0.135 or 13.5%.

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If the knowledge that an event "a" has occurred implies that another event "b" cannot occur, then the events "a" and "b" are said to be disjoint events.

As per the question statement, the knowledge that an event "a" has occurred implies that another event "b" cannot occur.

We are required to determine the characteristic name for the above mentioned events.

And here, if event "a" occurs, even "b" does not, implying the fact that, events "a" and "b" cannot occur simultaneously. Hence, as per the above definition of disjoint events,  the events "a" and "b" are be disjoint.

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Answer:

no

Step-by-step explanation:

3/4=0.75

1/2+n=0.5

Answer:

3/4 is greater than 1/2 I hope this helps you

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

Given that:

2Ax = 0.08

Ax = 0.2

A fully discrete whole life insurance issued to (x) is 1000.

Firstly we have to find out the value of variance S.

Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2

Variance S = (1000)^2 * [0.08 -  0.2^2]/(1- 0.2)^2

Variance S = (1000)^2 * [0.04]/.64

Variance S = (1000)^2 * .0625

Variance S = 62500

Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)

Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)

Standard deviation = 1000 * 0.2/0.8

Standard deviation = 1000 * 1/4 = 250

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

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The given function, f(x) = x * ln(x), is a product of x and the natural logarithm of x (ln(x)). It is defined for x > 0 since the natural logarithm is not defined for negative values or zero.

Let us analyze the given function:
1. Domain: The domain of f(x) = x * ln(x) is all x > 0 because the natural logarithm is only defined for positive values of x.

2. Range: The range of the function is all real numbers (negative and positive) because the function can have negative values for 0 < x < 1, and positive values for x > 1.

3. Monotonicity: The function is monotonically increasing for x > 1 since both x and ln(x) increase as x increases. For 0 < x < 1, the function is decreasing since x increases and ln(x) decreases.

In summary, the function f(x) = x * ln(x) is defined for x > 0, has a range of all real numbers, and is monotonically decreasing for 0 < x < 1 and monotonically increasing for x > 1.

The correct question should be :

Define the function f(x) = x * ln(x).

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Answer:

m= 18g

Step-by-step explanation:

m = 18 × g

Answer:

G = -32

Step-by-step explanation:

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

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Answer:180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

A symbol that completes the inequality 6x - 3y ___ -12 is: C. ≥.

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Next, we would evaluate the inequality by using specific ordered pairs (x, y) as follows;

(0, 0)

6(0) - 3(0) ? -12

0 ≥ -12

(1, 2)

6(1) - 3(2) ? -12

0 ≥ -12

(-1, 2)

6(-1) - 3(2) ? -12

-12 ≥ -12

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Answer: 16b

Step-by-step explanation:

distribute

2a+6b+-2a+10b

combine like terms

2a+6b+-2a+10b

(2a+-2a)+(6b+10b)

16b

Answer:

Step-by-step explanation: It sinks 45 metres every time, so you would keep adding 45 until you got to 195, which would need  18 to finish. 18 would equate to around 1.5 hours, so around 3:30 am ish.