788 divided by 4 SHOW WORK pls do in a few hours

The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.

To find the maximum amount by which the smallest sample observation can be increased without affecting the sample median, we need to consider the definition of the median.

The median is the middle value in a sorted dataset. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values.

Since the current smallest sample observation is 8.5, increasing it by any value up to 0.1 would still keep it smaller than any other value in the dataset. This means the position of the smallest observation would not change in the sorted dataset, and therefore, it would not affect the value of the sample median.

The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.

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Answer:

A.10x+2

Step-by-step explanation:

I think that the answer

If they plan to randomly select 30 parents and send them a survey and follow up with a phone call , then type of sampling strategy being used is (a) Cluster Sampling.

The Cluster Sampling is defined as a sampling technique where the entire population is divided into groups or clusters, and then a sample is taken from each cluster.

In this case, the entire population of the school system is divided into 10 elementary schools, and a sample of 30 parents from each school is selected.

The idea behind cluster sampling is that it is often easier and more efficient to obtain a sample from a smaller group rather than trying to select a sample from the entire population. The key feature of cluster sampling is that the units selected from the population are groups rather than individuals.

The given question is incomplete , the complete question is

In a large city school system with 10 elementary schools in a variety of neighborhoods, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. They plan to randomly select 30 parents from every elementary school, then send them a survey and follow up with a phone call or home visit if the survey is not returned within a week.

Which type of sampling strategy is being used ?

(a) Cluster Sampling

(b) Convenience Sampling

(c) Stratified Sampling

(d) Voluntary Sample .

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Answer:

its x^2/3

Step-by-step explanation:

Answer:

t = 2

Step-by-step explanation:

5+2t-3=6

2t + 2 = 6

2t = 6 - 2

2t = 4

t = 4/2

t = 2

Answer:

T = 2

Step-by-step explanation:

5 + 2T - 3 = 6

2 + 2T = 6

2T = 4

T = 2

Answer:

money saved by james = 30/2 = 15

equation used

money with James  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

Step-by-step explanation:

Let money saved by sister be x

given

James has saved half the amount of money as his sister has saved.

Money saved by James = x/2

Total money saved by both of them = x + x/2

If they both save 30 more

Then

money with sister = x + 30

money with james = x/2 + 30

given that If they both save 30 more, james will have saved 3/4 as much as her sister

thus,

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

=> 4(x+30*2) /2 = 3x+90

=> 2x + 120 = 3x + 90

=> 3x-2x = 120-90

=> x = 30

Thus,

money saved by james = 30/2 = 15

equation used

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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We can simplify the given expression first and then write it in standard form.

8 × 10 = 80

1 × 1/10 = 1/10

6 × 1/1000 = 6/1000 = 3/500

Adding these three values, we get:

80 + 1/10 + 3/500

To write this in standard form, we need to express it as a single number multiplied by a power of 10. We can do this by finding a common denominator for the fractions and adding them:

80 + 50/500 + 3/500 = 80 + 53/500

Now, we can write this as:

80.106

To express this in standard form, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. We moved the decimal point 3 places to the left to get:

8.0106 × 10^1

Therefore, the number in standard form is 8.0106 × 10^1.

The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.

A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.

The ratio tells us how often one number is contained in another.

Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,

96 girls are present.

80 boys out of 176, or 96 boys.

Currently, the junior class's gender distribution is as follows:

Girls to Boys in Ratio

96 girls and 80 boys.

Divide the numerator and denominator by 16 to simplify.

Boys/Girls: 6 to 5.

Therefore, the answer is option d) 6:5.

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Answer:A

Step-by-step explanation:

.

The surface area of the right triangular prism with legs of 5 centimeters and 12 centimeters, a hypotenuse of 13 centimeters, and a height of 2 centimeters is 108 square centimeters.

Surface area refers to the total area of the surface of a three-dimensional object. When it comes to a right triangular prism, the surface area includes the area of all six faces.

Let's call the height of the triangular prism "h" and label the legs of the triangle "a" and "b". Using these values, we can find the area of the base of the triangular prism. The area of a right triangle is equal to 1/2 times the product of the legs, so the area of the base is

=> (1/2) * a * b = (1/2) * 5 * 12 = 30 square centimeters.

Next, we need to find the surface area of each of the three lateral faces. Each of these faces is a rectangle, so we can find the area by multiplying the height of the prism by the length of one of the sides of the triangle base.

The length of one side of the triangle base is equal to the hypotenuse, which is 13 centimeters. So, the surface area of each of the three lateral faces is

=> h * 13 = 2 * 13 = 26 square centimeters.

Finally, we can find the total surface area by adding the surface area of the base and the surface area of the three lateral faces.

The surface area of the base is 30 square centimeters, and the surface area of each lateral face is 26 square centimeters, so the total surface area is

=> 30 + 3 * 26 = 30 + 78 = 108 square centimeters.

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According to the given information the Pointwise Characterization of Perpendicular Bisectors.

A line known as a perpendicular bisector divides a specified line segment precisely in half, creating a 90° angle at the intersection. The intersection of a line segment's midpoint with a perpendicular bisector. It can be built with a compass and a ruler. On both sides of the line segment being divided, it forms a 90° angle.

The perpendicular bisector seems to be a mathematical construct that is being explored along with its creation in this article. We'll also look at the perpendicular bisector of a triangle and its properties. We will solve some few cases at the end to help you understand the subject better.

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Answer: 5 \(\frac{9}{16}\) gallons

Step-by-step explanation:

   To find the total volume, we will add together all the paint values.

3/16 gallons + 1/4 gallons + 5 1/8 gallons = 5 9/16 gallons

3/16 gallons + 4/16 gallons + 5 2/16 gallons = 5 9/16 gallons

Standard Deviation: Is a measure of how spread out values are in a data set compared to the mean. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean.

Mean: The average value of a set of numbers. It is calculated by summing up all the numbers in the set and dividing the result by the total number of numbers in the set.

Distribution Curve: is a bell shaped curve that displays the mean with a line down the center of the curve and standards deviations within standard deviations.

See attached file for model of curve, from: https://commons.wikimedia.org/wiki/File:Standard_deviation_diagram.svg

Given the mean and standard deviation we can use a general rule to determine the population between the given lengths.

Generally in a normal distribution:

176 cm is 1 standard deviation less than the mean and 184 cm is 1 standard deviation greater than the mean. Using the general rules above, 68% of data falls between -1σ and +1σ. Therefore, the answer to this question would be B. 68%

\(\frac{3xy^8}{x^2y^8} \\\frac{3}{x}\)

↝ The answer is 3/x

Triangle XYZ has a length of approximately 20.6 cm and YZ has a length of approximately 8.6 cm.

To construct triangle XYZ, we start by drawing a line segment XY of length 7 cm. We then draw a line segment XZ of length 5 cm, such that XZ is perpendicular to XY at point X. This means that angle YXZ is a right angle, measuring 90 degrees.

To determine the length of YZ, we use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, YZ is the hypotenuse, so we have:

YZ^2 = XY^2 + XZ^2
YZ^2 = 7^2 + 5^2
YZ^2 = 74
YZ ≈ 8.6 cm (rounded to one decimal place)

To find the total length of the triangle, we simply add up the lengths of all three sides:

Total length = XY + XZ + YZ
Total length = 7 + 5 + 8.6
Total length ≈ 20.6 cm (rounded to one decimal place)

Therefore, triangle XYZ has a length of approximately 20.6 cm and YZ has a length of approximately 8.6 cm.

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The calculated volume of the model space is 1657.92 cubic inches

From the question, we have the following parameters that can be used in our computation:

The model space made from:

The volume of the model space is calculated as

Volume = Cone + Cylinder + Hemisphere

Using the volume formulas, we have

Volume = 1/3πr²h + πr²h + 2/3πr³

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3 * 3.14 * 6² * 8 + 3.14 * 6² * 8 + 2/3 * 3.14 * 6³

Evaluate

Volume = 1657.92

Hence, the volume of the model space is 1657.92 cubic inches

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The estimated change in position of the object in the next 4 seconds is 52 ft.

To estimate the change in position of the object in the next 4 seconds, we can use the kinematic equation:

d = vt + (1/2)at^2

where d is the change in position, v is the initial velocity, a is the acceleration, and t is the time interval.

Substituting the given values, we get:

d = (9 ft/s)(4 s) + (1/2)(2 ft/s^2)(4 s)^2

= 36 ft + 16 ft

= 52 ft

Therefore, the estimated change in position of the object in the next 4 seconds is 52 ft.

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Two approximations of the area of the region between the graph are

(9, 11)

Given;

To calculate two approximations of the area of the region between the graph of the function and the x-axis across the given interval, use the left and right endpoints and the specified number of rectangles. rectangles f(x) = 2x + 3, [0, 2], 4

The graph is positive and the width of each subinterval will be,

a = 0, b = 2, n = 4

Δx = b-a/n = 2-0/4

     = 0.5

Now for different values;

x → f(x) = 2x+3

x₀ = 0 → f(x₀ ) = 2x+3 = 2(0)+3 = 3

x₁ = 0.5 → f(x₁) = 2x+3 = 2(0.5)+3 = 4

x₂ = 1.0 → f(x₂) = 2x2+3 = 2(1) +3 = 5

x₃ =1.5 → f(x₃) = 2x+3 = 2(1.5)+3 = 6

x₄ = 2 → f(x₄) = 2x+3 = 2(2)+3 = 7

The area by using the approximation using 4 approximating rectangles and right endpoints is given by,

A ≈ R₄ = ∑f(x) Δx = ( ƒ(x1)Δx + ƒ (x2)Δx+ ƒ (x3)Δx + ƒ (x4)Δx)

          = 0.5 (4 + 5 + 6 + 7)

          = 0.5 × 22

          = 11

The area by using the approximation using 8 approximating rectangles and left endpoints is given by.

A ≈ L₄ = ∑f(x) Δx = ( ƒ(x0)Δx + ƒ (x1)Δx+ ƒ (x2)Δx + ƒ (x3)Δx)

          = 0.5 (3 + 4 + 5 + 6)

          = 0.5 × 18

          =9

Thus, 9 < Area < 11.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

g(x)=(x+5)^2

Step-by-step explanation:

the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive

g(x)=(x+5)^2

(x+5)^2=0

x+5=0

x=0-5

x=-5

Good Studies!!!

The true proportion of females within undergraduate economics programs, denoted by \(\( p \)\), can be estimated using the sample proportion, denoted by \(\( \hat{p} \)\). The variance of \(\( \hat{p} \)\), assuming that the observations are independent and identically distributed (iid), can be determined as follows:

\(\( \text{Var}(\hat{p}) = \frac{p(1-p)}{n} \)\)

where \(\( n \)\) represents the sample size.

The sample proportion \(\( \hat{p} \)\) is calculated by dividing the number of females in the sample by the total sample size. Since we assume that the observations are iid, the variance of \(\( \hat{p} \)\) can be derived using basic properties of variance.

To determine the variance of \(\( \hat{p} \)\), we use the formula \(\( \text{Var}(X) = E(X^2) - [E(X)]^2 \)\). In this case, \(\( X \)\) represents the random variable corresponding to the proportion of females in a single observation.

The expected value of \(\( X \)\) is \(\( p \)\), and the expected value of \(\( X^2 \)\) is \(\( p^2 \)\). Therefore, we have \(\( \text{Var}(X) = E(X^2) - [E(X)]^2 = p^2 - p^2 = p(1-p) \)\).

Since \(\( \hat{p} \)\) is an average of \(\( n \)\) independent observations, the variance of \(\( \hat{p} \)\) is given by \(\( \text{Var}(\hat{p}) = \frac{\text{Var}(X)}{n} = \frac{p(1-p)}{n} \)\).

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Answer:

I believe the answer is 49°

The complete table is solved and shown below.

Given is to complete the output table as given.

Now, we can write -

for [x] = - 4,   y = - 3

for [x] = - 3, y = - 1 =  {- 3 + 2}

for [x] = 1, y = 1 + 2 = 3

for [x] = 2, y = 2 + 2 = 4

for [x] = 5, y = 5 + 2 = 7

Therefore, the complete table is shown and solved above.

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Answer:

Right. Triangles. 60. º. 60. º. 60. º. 50. º. 45. º. 85. º. Not . Right Triangles. Classify Differentiate Test. A right triangle is a TRIANGLE that HAS ONE RIGHT ANGLE  

Answer:

the answer is 38

Step-by-step explanation:

The triangle = 10 180 and 180-142 is 38

Answer:

Step-by-step explanation:

Essentially, we can use the pythagorean rule that:

a^2+b^2=c^2

c^2 resembles the hypotenuse, which is almost always the largest number. therefore, we simply have to find two which equal the largest side:

9^2+40^2=41^2

81+1600=1681

1681=1681

Based on this math, A is our right angle!

Hope this helps!

The distribution is not a standard normal distribution.

We know that the variable (X) usually obeys and follows a standard normal distribution provided that the summation of (X) is zero and the variance of the random variable V(X) = 1.

Mathematically:

E(X) = 0 and V(X) = 1

Given that;

As such, the distribution is not a standard normal distribution.

Therefore, we can conclude that the distribution is not a standard normal distribution.

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The equation of line is y+4 = 1/2*(x+4).

The point-slope form of a line with slope 'm' and passing through a point (a, b) is given by (y-b)= m(x-a)

Given:

As,  the points (4, 0) and (-4, -4) are two points on the straight line.

slope of line= -4-0/ -4-4

m= 1/2

Now,  line passes through the point (-4, -4), equation of the line is

y-(-4) = m(x-(-4))

y+4 = 1/2*(x+4)

Hence, required point-slope form of the graphed line is y+4 = 1/2*(x+4)

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The indefinite integral is: (t^2)i + (t)j + (3t)k + C

To find the indefinite integral of the given vector function (2ti + j + 3k) with respect to t, we need to integrate each component separately.

Step 1: Integrate the i-component with respect to t:
∫(2t) dt = t^2 + C1

Step 2: Integrate the j-component with respect to t:
∫(1) dt = t + C2

Step 3: Integrate the k-component with respect to t:
∫(3) dt = 3t + C3

Now, combine the integrated components and the constants of integration (C1, C2, C3) to form the final result:

Your answer: (t^2)i + (t)j + (3t)k + C

Here, C = (C1)i + (C2)j + (C3)k is the constant of integration in vector form.

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Using mathematical operations we know that Nile and Bob travelled for 7 hours.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).

So, we know that both Nile and Bob sailed same time and for the same length:

NIle: 42 miles at a speed of 6mph

Bob: 98 miles at the speed of 14mph

Time for which Nile and Bob were traveling are:

Nile: 42/6 = 7 hours

Bob: 98/14 = 7 hours

Therefore, using mathematical operations we know that Nile and Bob travelled for 7 hours.

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