Sam Ying, a career counselor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15.0 years and a standard deviation of 1.5 years. The test value used in evaluating the claim would be –2.68.

Select one:

True

False

Answer:

suiuu

Step-by-step explanation:

2+(485+(8895)&74894

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

These method is used to determine the side and angles of a triangle

From the question given, we have the following parameters

Base of the building = 7feet (Adjacent side)

Height of the building = 18 feet (Opposite side)

Required

angle of elevation of the building

Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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The equation 10z - x^2 - y^2 = 0 represents a circular paraboloid with its vertex at the origin (0,0,0). The surface curves downwards in the x and y directions, and the z-coordinate varies linearly with a constant rate.

The surface defined by the equation 10z - x^2 - y^2 = 0 is a circular paraboloid.

Let's analyze the equation to understand the shape of the surface. The equation consists of three terms: 10z, -x^2, and -y^2.

The term 10z represents a linear function of z, indicating that the z-coordinate varies linearly with a constant rate.

The terms -x^2 and -y^2 represent quadratic functions of x and y, respectively. These terms suggest that the surface curves downwards in the x and y directions, forming a circular shape.

The equation can be rewritten as:

x^2 + y^2 - 10z = 0

Comparing this equation to the standard form of a circular paraboloid,

which is given by x^2 + y^2 = 4az, we can observe that the coefficient of z in the equation is -10. This implies that the vertex of the paraboloid is located at the origin (0,0,0), and the surface opens downwards.

Furthermore, the equation lacks a constant term, indicating that the vertex of the paraboloid lies on the xy-plane.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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The attached image shows the sketch of the angles and their respective reference angles.

Quadrant is one of the four regions into which a coordinate plane is divided. In a Cartesian coordinate system, such as the standard xy-plane, the quadrants are numbered counterclockwise starting from the top-right quadrant.

First Quadrant (Q1): It is located in the upper-right region of the coordinate plane. In this quadrant, both the x and y coordinates are positive.

Second Quadrant (Q2): It is located in the upper-left region of the coordinate plane. In this quadrant, the x coordinate is negative, and the y coordinate is positive.

Third Quadrant (Q3): It is located in the lower-left region of the coordinate plane. In this quadrant, both the x and y coordinates are negative.

Fourth Quadrant (Q4): It is located in the lower-right region of the coordinate plane. In this quadrant, the x coordinate is positive, and the y coordinate is negative.

The given angles: -210° and -7π/4 radians are both located in the third quadrant.

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The function of the ascending and descending tracts in the medulla oblongata is to maintain the communication between the brain and spinal cord.

What  is medulla oblongata?

The medulla oblongata, which connects the brainstem to the spinal cord, has a number of crucial functioning centers.

                                               The origin of cranial nerves IX, X, XI, and XII are included together with the system that controls the heart and lungs, descending motor tracts, and ascending sensory tracts.

What are the medulla oblongata's five functions?

Respiration, heart activity, vasodilation, and reflexes including vomiting, coughing, sneezing, and swallowing are only a few of the fundamental autonomic nervous system processes that are controlled by the medulla oblongata.

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Answer:

p ≥ 228

Step-by-step explanation:

p ≥ 228

This inequality means the Bowlers have to score at least 228 points to move on.

Hope this helped!

the right answer is c

Answer:

3/2 + t - 5

Step-by-step explanation:

1/2(3+4t-10)

Open brackets

3/2 + 4t/2 - 10/2

3/2 + t - 5

I hope this helps:)

Answer:

2t+-7/2

Step-by-step explanation:

1

2

(3+4t−10)

=(

1

2

)(3+4t+−10)

=(

1

2

)(3)+(

1

2

)(4t)+(

1

2

)(−10)

=

3

2

+2t−5

Answer:

Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.

Explanation:

4 x 4 = 16

3 x 6 = 18

16 + 18 = 34

Answer:

Step-by-step explanation:

The correct option is, (n/2)C(n/2+k-2,k-2)×C(n/2,k-2). Here is 2 are even and the others are odd.

Given that we need to find the number of weak compositions of 2n into 2k parts from which 2 are even and the others are all odd.

Where,2n is the total and 2k is the number of parts.

So, we need to select two even numbers from n/2 even numbers and the remaining 2k-2 numbers from n/2 odd numbers.

The total number of weak compositions of 2n into 2k parts is given by:

C(n+k-1,k-1).

Using the above information, the number of weak compositions of 2n into 2k parts from which 2 are even and the others are all odd is given by:

(n/2)C(n/2+k-2,k-2)×C(n/2,k-2).

Therefore, the correct option is, (n/2)C(n/2+k-2,k-2)×C(n/2,k-2).

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Answer:

In what? theirs no graph or picture with the question.

Step-by-step explanation:

Triangles

Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.

Triangle BAC has the same base as Triangle DAC

Therefore, the vertices of the angle B is equivalent to the vertice of angle D

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1:

The mean is 14.8

The median is 14 (11+17)/2=14  

The mode is 10

2:

15, 21, 23, 26, 28, 30, 36, 38, 40, 43, 45, 49

3:

The mean is 91.6666666667

4:

The cost of the 5th child is $7850

IM SO SORRY IF I GOT ANY WRONG!!!!!!

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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Answer:

15feet by 18feet

Explanation:

Given the scale used for a model of a kitchen as;

1/4 in = 1 1/2 ft

SInce the kitchen measures 2 1/2 in by 3 in

Convert both inches to feet

2 1/2 inches = x

1/4 in = 1 1/2 ft

Cross multiply

1/4 x = 2 1/2 * 1 1/2

1/4 x = 5/2 * 3/2

1/4 x = 15/4

x = 15 feet

For 3in;

1/4 in = 1 1/2 ft

3in = y

Cross multiply

1/4 y = 3/2 * 3

1/4 y = 9/2

2y = 36

y = 36/2

y = 18feet

Hence the actual dimension of the kitchen is 15feet by 18feet

For 3in;

1/4 in = 1 1/2 ft

3in = y

Cross

Step-by-step explanation:

d.is your answer

Answer:

Answer:when x=2

Answer:when x=2-2×2+4y=16

Answer:when x=2-2×2+4y=164y=16+4

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5again

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=16

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=164y=16-16

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=164y=16-16y=0/4=0

sorry.you have not attached graph.

Answer:

D.

Step-by-step explanation:

Refer to the images attached.

Answer:

(x-5) and the it is translation

Step-by-step explanation:

you move the translated figure to the left by five spots which is why it is x-5

1. Minimize w = -2y₁ - 5y₂

2. Maximize w = 2y₁ + 5y₂

3. Minimize w = 5y₁

1. Dual of primal LP:
a) The primal LP is:
Maximize z = -5x₁ + 2x₂
Subject to:
-1x₁ + 1x₂ ≤ -2
2x₁ + 3x₂ ≤ 5
x₁, x₂ ≥ 0

To write the dual LP, we need to change the objective function and constraints. The objective function of the dual LP is to minimize the sum of the products of the dual variables and the primal constraint coefficients.

The constraints of the dual LP correspond to the primal LP's objective coefficients.

The dual LP for the given primal LP is:
Minimize w = -2y₁ - 5y₂
Subject to:
-y₁ + 2y₂ ≥ -5
y₁ + 3y₂ ≥ 2
y₁, y₂ ≥ 0

b) The primal LP is:
Minimize z = 6x₁ + 3x₂
Subject to:
6x₁ - 3x₂ + x₃ ≥ 2
3x₁ + 4x₂ + x₃ ≥ 5
x₁, x₂, x₃ ≥ 0

The dual LP for the given primal LP is:
Maximize w = 2y₁ + 5y₂
Subject to:
6y₁ + 3y₂ ≤ 6
-3y₁ + 4y₂ ≤ 3
y₁ + y₂ ≥ 1
y₁, y₂ ≥ 0

c) The primal LP is:
Maximize z = x₁ + x₂
Subject to:
2x₁ + x₂ = 5
3x₁ - x₂ unrestricted

The dual LP for the given primal LP is:
Minimize w = 5y₁
Subject to:
2y₁ + 3y₂ ≥ 1
y₁ - y₂ unrestricted
y₁, y₂ ≥ 0

These are the dual LPs for the given primal LPs.

The dual LPs are obtained by changing the objective function and constraints of the primal LPs.

The objective function of the dual LP is the opposite of the primal LP's objective function, and the constraints of the dual LP correspond to the primal LP's objective coefficients.

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Element that would be more effective in accepting electrons - Chlorine

Element that would be the  best insulator - As

Element that would combine with sulfur - Rb

We know that in a bonding situation, it is possible to have electrons closer to one of the bonding atoms than the other. In such case, the electron cloud is seen to be closer to a given atom. The atom to which the electron cloud is closer is said to be more electronegative.

In the periodic table electronegativity is a property that tends to increase from the left hand side to the right hand side of the periodic table.

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Answer:

Estimate the value of 9.9 squared x 1.79

✓ Estimation:  " 180

Step-by-step explanation: :)

Answer:

-90

Step-by-step explanation:

10+5×5×(-2)

10+25×(-2)

10+(-100)

10-100

-90

Answer:

- 40

Step-by-step explanation:

Substitute x = 5, y = - 2 into the expression

10 + 5xy

= 10 + 5(5)(- 2)

= 10 - 50

= - 40

Estimated change in momentum of the boy after he lands without rebounding is equal to 0 kgm/s approximately.

Height of the wall = 3meters

To estimate the change in momentum of the boy when he lands without rebounding,

Use the principle of conservation of momentum.

The change in momentum of an object is equal to the product of its mass and the change in velocity.

Here, the boy's mass is not given, but we can assume it to be negligible compared to the change in velocity.

This implies, focus on the change in velocity alone.

When the boy jumps from a wall 3m high, he undergoes free fall due to gravity.

The final velocity of an object in free fall can be calculated using the equation,

v² = u² + 2as,

where,

v = final velocity (unknown)

u = initial velocity (0 m/s, as the boy jumps from rest)

a = acceleration due to gravity (-9.8 m/s²)

s = displacement (3 m, height of the wall)

Rearranging the equation, we get,

⇒ v² = 0 + 2(-9.8)(3)

⇒ v² = -58.8

⇒ v ≈ -7.67 m/s

Since the boy lands without rebounding, his final velocity is approximately -7.67 m/s,

Considering downward motion as negative.

The change in momentum can be calculated by multiplying the mass assumed to be negligible with the change in velocity,

⇒ Change in momentum = mass × change in velocity

⇒ Change in momentum ≈ 0 × (-7.67) kgm/s

⇒ Change in momentum ≈ 0 kgm/s

Therefore, the estimate of the change in momentum of the boy when he lands without rebounding is approximately 0 kgm/s.

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This means that there is a 65.54% probability that a student in ECO 20150 will get a 72 or higher on the final exam.

To calculate the probability that a student gets a 72 on the final exam, we need to find the area under the normal distribution curve from 72 to infinity. We can use the standard normal distribution table (also known as the Z-table) to find this probability.

First, we need to convert the raw score of 72 to a Z-score. The Z-score tells us how many standard deviations a raw score is above or below the mean. To convert a raw score to a Z-score, we use the following formula:

Z = (X - μ) / σ

Where X is the raw score, μ is the mean, and σ is the standard deviation.

Plugging in the values from the problem, we get:

Z = (72 - 67) / 11 = 0.45

Now that we have the Z-score, we can look it up in the standard normal distribution table to find the probability. The probability is the area under the curve from the Z-score to infinity. In this case, the probability is 0.6554, or about 65.54%.

Calculating a result or an event's likelihood is known as simple probability. To calculate the likelihood of having to pay out a claim, insurance firms employ probability statistics. A simple probability is computed by dividing a particular result by all potential results.

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Answer:

the answer of cosc= 8/17

(1) P(z < -0.51) = 0.3046

(2) P(z > 0.73) = 0.2327

(3) P(-0.99 < z < 1.16) = 0.8222

(4) P(z > -0.64) = 0.7419

(5) The z value such that 50% of the total area lies to the right of it is z = 0.

(6) The z value to the right of the mean such that 85% of the total area lies to the left of it is z = -1.036.

What is Probability?

Probability is a measure of the likelihood or chance that a specific event will occur. It quantifies the uncertainty associated with an event and is expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty. In other words, probability indicates the proportion of times an event is expected to occur out of all possible outcomes. It plays a fundamental role in statistics, mathematics, and various fields where uncertainty and random events are involved.

Let's go through each question and explain the solutions:

(1) P(z < -0.51) represents the probability that a standard normal random variable is less than -0.51. By looking up this value in the standard normal distribution table or using a calculator, we find that the probability is approximately 0.3046.

(2) P(z > 0.73) represents the probability that a standard normal random variable is greater than 0.73. Again, by looking up this value or using a calculator, we find that the probability is approximately 0.2327.

(3) P(-0.99 < z < 1.16) represents the probability that a standard normal random variable falls between -0.99 and 1.16. By finding the individual probabilities for each interval and subtracting them, we get a probability of approximately 0.8222.

(4) P(z > -0.64) represents the probability that a standard normal random variable is greater than -0.64. Using the standard normal distribution table or a calculator, we find that the probability is approximately 0.7419.

(5) The z value such that 50% of the total area lies to the right of it corresponds to the median of the standard normal distribution. Since the standard normal distribution is symmetric, the median is at z = 0.

(6) To find the z value to the right of the mean such that 85% of the total area lies to the left of it, we look for the z value that corresponds to the cumulative probability of 0.85. By using the standard normal distribution table or a calculator, we find that the z value is approximately -1.036.

In summary, these questions involve finding probabilities associated with the standard normal distribution using z-scores.

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Answer:

y=3x-10

Step-by-step explanation:

Slope: (y2-y1)/(x2-x1)

(2-8)/(4-6)

slope= -6/-2 = 3

Point: (6,8)

Slope-intercept: y-y1=m(x-x1)

y-8=3(x-6)

y-8=3x-18

y=3x-10