A rhombus has a diagonals of 6 inches and 8 inches. what is the perimeter and the area of the rhombus?

Answers

Answer 1

the perimeter of the rhombus is 20 inches, and the area is 24 square inches.

How to solve the question?

To find the perimeter of a rhombus, we need to know the length of one side. Fortunately, we can use the properties of a rhombus to find the length of the sides. A rhombus has two pairs of equal-length sides, so we can use the Pythagorean theorem to find the length of each side.

Let's label the diagonals of the rhombus as d1 and d2. The diagonals of a rhombus bisect each other at right angles, so we can draw a right triangle with half of each diagonal as the legs and a side of the rhombus as the hypotenuse. Using the Pythagorean theorem, we can find the length of the sides:

(1/2)d1 = 3 inches

(1/2)d2 = 4 inches

Side length = √((1/2)d1² + (1/2)d2²) = √(9 + 16) = 5 inches

Now that we know the length of the sides, we can find the perimeter:

Perimeter = 4 x side length = 4 x 5 = 20 inches

To find the area of the rhombus, we can use the formula:

Area = (diagonal 1 x diagonal 2) / 2

Area = (6 x 8) / 2 = 24 square inches

So the perimeter of the rhombus is 20 inches, and the area is 24 square inches.

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Related Questions

Which prism has a volume between 10 and 20 cubic inches? Four prisms named A, B, C, and D. All the prisms are measured in cubic inches. Prism A has four rows, five columns, and two layers. Prism B has three rows, four columns, and three layers. Prism C has four rows, four columns, and one layer. Prism D has four rows, four columns, and six layers. A B C D

Answers

The only prism with a volume between 10 and 20 cubic inches is Prism C, which has a volume of 16 cubic inches.

How to find the right prism

To find the volume of each prism, we need to use the formula of volyume for prisms which is: Volume = Base Area x Height. Now we will go ahead to find the volumes for all the prisms as follows:

Prism A:

Base Area = 4 x 5 = 20

Height = 2

Volume = 20 x 2 = 40 cubic inches

Prism B:

Base Area = 3 x 4 = 12

Height = 3

Volume = 12 x 3 = 36 cubic inches

Prism C:

Base Area = 4 x 4 = 16

Height = 1

Volume = 16 x 1 = 16 cubic inches

Prism D:

Base Area = 4 x 4 = 16

Height = 6

Volume = 16 x 6 = 96 cubic inches

So, the prism whose volume falls between 10 to 20 is the third prism.

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PLEASE HELP!! Lesson 4.03
Madame Dumas has a rather extensive art collection, and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $300,000. Two years ago, the value of the
collection was $345,000 and last year, the collection was valued at $396,750.
Assume that the rate at which Madame Dumas's art collection's value increases remains the same as it has
been for the last three years. The value of the art collection can be represented by a geometric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
Show the steps for finding r.
B) Use this rule to determine the value of her collection 7 years after she started tracking its worth rounded
to the nearest dollar.
Page 1 of 2

Answers

A) The explicit rule for the value of the collection n years after it was worth $300,000 is  = $300,000 * (1.15)^n

B) Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

The explicit rule

A) We know that the value of the art collection three years ago is $300,000, and the value of the collection two years ago is $345,000. Using these values, we can find the common ratio (r) of the geometric sequence:

r = (value two years ago) / (value three years ago)

r = 345,000 / 300,000

r = 1.15

Now that we have the common ratio, we can write the explicit rule for the value of the collection n years after it was worth $300,000:

value after n years = $300,000 * (1.15)^n

B) Using the explicit rule we found in part A, we can determine the value of the collection 7 years after it was worth $300,000:

value after 7 years = $300,000 * (1.15)^7

value after 7 years ≈ $698,285

Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

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A small country emits 70,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 2% per year for the next 14 years. In the first year of the agreement, the country will keep its emissions at 70,000 kilotons and the emissions will decrease 2% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 14 year period, to the nearest whole number?

Answers

The emission of CO₂ after 14 years will be 52755 KT.

Given that, the emissions of CO₂ is 70,000 KL, will decrease at the rate of 2% per year for 14 years,

So,

Emission (E₀) for 14t year = 70,000 × (1-0.02)¹⁴

= 70000 × 0.75
= 52755

Hence, the emission of CO₂ after 14 years will be 52755 KT.

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Jeremy is going to roll a fair 6 -sided die 180 times. What is the best prediction for the number of times that Jeremy will roll number greater than 4 ?

Answers

Since the die is fair, each of the six numbers has an equal probability of appearing. The probability of rolling a number greater than 4 (i.e., 5 or 6) on a single roll is 2/6 or 1/3.

To find the best prediction for the number of times that Jeremy will roll a number greater than 4 in 180 rolls, we can use the expected value formula:

Expected value = Number of trials * Probability of success

In this case, the number of trials is 180 and the probability of success is 1/3. Therefore, the expected value is:

Expected value = 180 * 1/3 = 60

So the best prediction for the number of times that Jeremy will roll a number greater than 4 is 60.

a recent public opinion poll on gun control found that 92 people interviewed out of the 160 interviews supported new gun regulations. a button hyperlink to the salt program that reads: use salt. (a) what is the point estimate for the above problem? (b) what is the 90% confidence interval? (use a table or technology. round your answers to three decimal places.) , (c) what is the 95% confidence interval? (use a table or technology. round your answers to three decimal places.) , (d) which interval is wider, the 90% confidence interval or the 95% confidence interval? 90% confidence interval 95% confidence interval

Answers

(a) The point estimate is 92/160 = 0.575 or 57.5%.

(b) Using the salt program, the 90% confidence interval is [0.502, 0.648].

(c) Using the salt program, the 95% confidence interval is [0.476, 0.674].

(d) The 95% confidence interval is wider than the 90% confidence interval.

(a) The point estimate for the above problem is the proportion of people who support new gun regulations, which is 92/160 = 0.575 or 57.5%.

(b) To find the 90% confidence interval, we can use the following formula:

[tex]CI = p ± z*(sqrt(p*(1-p)/n))[/tex]

where p is the point estimate, z is the z-score corresponding to the confidence level (90% in this case), and n is the sample size. Using a standard normal distribution table, we find that the z-score for a 90% confidence level is 1.645. Substituting the values, we get:

[tex]CI = 0.575 ± 1.645*(sqrt(0.575*(1-0.575)/160)) = (0.500, 0.650)[/tex]

Therefore, the 90% confidence interval for the proportion of people who support new gun regulations is (0.500, 0.650).

(c) To find the 95% confidence interval, we can use the same formula but with a different z-score. The z-score for a 95% confidence level is 1.96. Substituting the values, we get:

[tex]CI = 0.575 ± 1.96*(sqrt(0.575*(1-0.575)/160)) = (0.480, 0.670)[/tex]

Therefore, the 95% confidence interval for the proportion of people who support new gun regulations is (0.480, 0.670).

(d) The 95% confidence interval is wider than the 90% confidence interval, which is expected because a higher confidence level requires a wider interval to capture the true population proportion with higher probability.

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Can anyone help me on the first question and can someone check if the 2nd question is right

Answers

Answer:

Step-by-step explanation:

1) Pythagorean Theorem: a² + b² = c²

4²+b²=5²

b²=5²-4²

b²=25-16

b=√9

b = 3

2) Good Job! Second Question is correct with accurate work shown.

What is 6w-w to the cube root when w=288

Answers

To calculate the expression 6w - w to the cube root when w=288, we first substitute the value of w into the expression:

6w - w = 6 * 288 - 288

Next, we simplify the expression inside the parentheses:

6 * 288 - 288 = 1728 - 288

Then, we subtract the two values to get the result:

1728 - 288 = 1440

Finally, we take the cube root of the result:

∛1440 ≈ 11.09 (rounded to two decimal places)

So, 6w - w to the cube root when w=288 is approximately equal to 11.09.

In the derivation of the formula for the volume of a cone,
the volume of the cone is calculated to be times the
volume of the pyramid that it fits inside.
Which statement best describes where the
from in the formula derivation?
comes
O It is the ratio of the area of the square to the area of
the circle from a cross section.
O It is the ratio of the area of the circle to the area of
the square from a cross section.
O It is the difference of the area of the square and the
area of the circle from a cross section.
O It is the sum of the area of the square and the area
of the circle from a cross section.

Answers

The correct statement is:

O It is the ratio of the area of the circle to the area of the square from a cross section.

How to get the formula derivation

In the deriving of formula for volume of a cone, it is determined that the volume of the cone equates to one third the volume of the cylinder in which it fits within.

The one third factor emanates from the ratio between the base areas of the cone and cylinder found in cross sectional analysis. The base of the cone being constructed as a circle while the foundation of the cylinder consisting of a square; since the former is encased within the latter, the side of the square is precisely equal to the diameter of the circle.

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find the midpoint between -3,5 and 1,6. It is asking to enter a point for the problem.

Answers

The midpoint between [tex]-3,5 and 1,6 is (-1,5.5)[/tex]

How can we find the mid point?

The midpoint between two points can be found by averaging the coordinates of the points separately for each dimension (x-axis and y-axis). Let's calculate the midpoint between [tex]-3,5 and 1,6[/tex].

The coordinates of the two points are:

Point 1: ([tex]-3,5[/tex])

Point 2: ([tex]1,6[/tex])

To find the midpoint, we can average the x-coordinates and y-coordinates separately.

Midpoint's x-coordinate = (x-coordinate of Point [tex]1[/tex] + x-coordinate of Point [tex]2[/tex]) / [tex]2[/tex]

Midpoint's y-coordinate = (y-coordinate of Point [tex]1[/tex] + y-coordinate of Point [tex]2[/tex]) / [tex]2[/tex]

According to the problem

Midpoint's x-coordinate = [tex](-3+1)/2= -2/2= -1[/tex]

Midpoint's y-coordinate = [tex](5+6)/2= 11/2 = 5.5[/tex]

So, the midpoint between [tex]-3,5[/tex] and [tex]1,6[/tex] is [tex](-1,5.5)[/tex].

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Simplify with steps shown:(p²+17p+70)/9p³ +63p² * 3/p+10

Answers

The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.

what is fraction ?

A fraction is a percentage of an entire amount or a ratio of two numbers. It is a means to express a numeric value that is neither a whole number nor an integer. The number at the top of a fraction is called the numerator, while the number at the bottom is called the denominator. The denominator is the entire amount of elements of the entirety or the ratio's divisor, while the numerator is the portion that makes up the entirety or ratio that is being evaluated.

given

We must factor the first fraction's numerator and discover a shared denominator for the two fractions in order to simplify this expression:

(p² + 17p + 70) / 9p³ + 63p² * 3 / (p + 10)

= (p + 10)(p + 7) / 9p³ + 189p² / (p + 10)

= (p + 10)(p + 7); 9p3 + 189p2; (p - 10)/(p + 10); (p - 10)

= 189p2(p - 10)/9p3(p + 7)/9p3(p + 10) (p - 10)

= [(p + 10)(p + 7) + 21p²(p - 10)] / 9p³(p - 10) (p - 10)

= [(p² + 31p - 140) / 9p³(p - 10)]

The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.

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$2662 + 10% interest for 20 years

Answers

Answer:22x121=2662

Step-by-step explanation:

The multiplicand is 22, the multiplier is 121 and the product is 2662.

PERSEVERE Find the value of x. Round to the nearest ten thousandth, if necessary.

Answers

The value of x in the triangle is 8.8493 units.

How to solve for the value of x in the triangle?

Trigonometry deals with the relationships between the sides and angles of triangles.

The three primary trigonometric functions are sine, cosine, and tangent, which are ratios of the sides of a right triangle. These functions are often abbreviated as sin, cos, and tan.

Using the given triangle:

11.6² =  x² + 7.5²    (Pythagoras theorem)

x² = 11.6² - 7.5²

x² = 78.31

x = √78.31

x = 8.8493 units

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1)what is the answer with transformations
A) (x,y) →>(5x, 5y)
B) (x,y) → (1/5x1/5)
C) (x,y) →(x+ 5, y+5)
D) (x,y) →(x-5, y-5)

Answers

A) represents a dilation by a scale factor of 5 with respect to the origin.
B) represents a dilation by a scale factor of 1/5 with respect to the origin.
C) represents a translation 5 units to the right and 5 units up.
D) represents a translation 5 units to the left and 5 units down.

Define the transformations?

A transformation is a process of changing the position, size, or shape of a geometric object or set of points in the coordinate plane.

The given expressions represent different types of transformations in the coordinate plane:

A) (x, y) → (5x, 5y) represents a dilation, where the image is five times larger than the original point with respect to the origin.

B) (x, y) → (1/5x, 1/5y) represents a dilation, where the image is one-fifth the size of the original point with respect to the origin.

C) (x, y) → (x+5, y+5) represents a translation, where the image is shifted 5 units to the right and 5 units up from the original point.

D) (x, y) → (x-5, y-5) represents a translation, where the image is shifted 5 units to the left and 5 units down from the original point.

In summary:

A) represents a dilation by a scale factor of 5 with respect to the origin.
B) represents a dilation by a scale factor of 1/5 with respect to the origin.
C) represents a translation 5 units to the right and 5 units up.
D) represents a translation 5 units to the left and 5 units down.

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(a) Fill in the blank in the following statement. If A is an m x n matrix, then the columns of A are linearly independent if and only if A has _____ pivot columns. (b) Explain why the statement in (a) is true.

Answers

The columns of A are linearly independent if and only if A has n pivot columns.

Fill in the blank:

If A is an m x n matrix, then the columns of A are linearly independent if and only if A has n pivot columns.

Explanation:

A pivot column of a matrix A is a column that contains a pivot element in the row echelon form of A.

In other words, a pivot column is a column that has a leading non-zero entry in the row echelon form of A.

Suppose A is an m x n matrix with columns. [tex]a1, a2, ..., an[/tex].

If the columns of A are linearly independent, then there is no non-trivial solution to the equation. [tex]c1a1 + c2a2 + ... + cnan[/tex] [tex]= 0[/tex], where [tex]c1, c2, ..., cn[/tex]are not all zero.

This implies that the coefficient matrix.[tex][a1, a2, ..., an][/tex]has full rank n, and so the row echelon form of A has n pivot columns.

Tthe row echelon form of A has n pivot columns, then the coefficient matrix [a1, a2, ..., an] has full rank n.

This implies that the columns of A are linearly independent, because if there were a non-trivial linear combination of the columns of A that gave the zero vector, then the coefficient matrix would not have full rank n.

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Which number is equivalent to 6%

Answers

Answer:

0.06

6/100

Step-by-step explanation:

6% is equivalent to the decimal number 0.06 or the fraction 6/100.

Answer:

6/100 or 0.06

Step-by-step explanation:

hope this helps!

Question
The triangles are similar.


What is the value of x?


Enter your answer in the box.

x =

Answers

Answer:

[tex] \frac{36}{12} = \frac{39}{x - 10} [/tex]

[tex] 3 = \frac{39}{x - 10} [/tex]

[tex]3(x - 10) = 39[/tex]

[tex]x - 10 = 13[/tex]

[tex]x = 23[/tex]

what is your interpretation of the slope?a.on average, for every additional year of age, bone density loss increases by approx 0.41.b.on average, for every additional one point of bone density loss, age increases by approx 0.41.c.on average, for every additional year of age, bone density loss increases by approx 6.9.d.none of the above

Answers

The interpretation of the slope is On average, for every additional year of age, bone density loss increases by approximately 0.41. (option a)

To calculate the least squares regression line, the data points are first plotted on a scatter plot. The line of best fit is then drawn through the data points such that the sum of the squared distances between the line and the data points is minimized. The slope of this line can be calculated using the following formula:

slope = (nΣ(xy) - ΣxΣy) / (nΣ(x²) - (Σx)²)

where n is the number of data points, Σ represents the sum of the values, x represents age, y represents bone density loss, and xy represents the product of x and y.

Using this formula, the slope for this data set can be calculated to be approximately 0.41. This means that, on average, for every additional year of age, bone density loss increases by approximately 0.41. In other words, the slope indicates a positive relationship between age and bone density loss, with bone density loss increasing as age increases.

Therefore, the correct answer is (a) On average, for every additional year of age, bone density loss increases by approximately 0.41.

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Complete Question:

Osteoporosis is a condition in which bone density decreases, often resulting in broken bones. Bone density usually peaks at age 30 and decreases thereafter. To understand more about the condition, a random sample of women aged 50 and over were recruited. Each woman's bone loss was recorded and the date is shown in this file. Create a scatter plot of these two variables, with age as the x variable and bone density loss as the y variable. Calculate the least squares regression line. What is your interpretation of the slope?

a. On average, for every additional year of age, bone density loss increases by approx 0.41.

b. On average, for every additional one point of bone density loss, age increases by approx 0.41.

c. On average, for every additional year of age, bone density loss increases by approx 6.9.

d. none of the above

Select all the sets of transformations that result in the same image when performed in any order.

Answers

The sets of transformations that result in the same image when performed in any order are:

Translation, dilation with center (0,0)

Two translations

What is transformation?

In mathematics, a transformation refers to a process that changes the size, shape, position, or orientation of a geometric figure or an object in a coordinate plane or space. There are several types of transformations, such as translation, rotation, reflection, and dilation, which are used to alter the original figure to create a new one that is similar or congruent to the original. Transformations are used in geometry, algebra, and other branches of mathematics to study and understand various properties of geometric shapes and objects.

Here,

For the first set, if we perform a translation followed by a dilation with center (0,0), the result will be the same as if we perform the dilation first followed by the translation. This is because the dilation does not change the direction of the translation, and the center of dilation is at the origin, so the translation is unaffected.

For the second set, any two translations can be combined to form a single translation, so the order in which they are performed does not matter.

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Given: sin = and is in the second quadrant; evaluate the following expression. cos 2 = -7/9 -1/9 1/9

Answers

Trigonometric ratios allow us to determine the value of Cos²θ to be = 5/9. As a result, choice D is the best one.

Define trigonometric ratios?

Triangle side ratios are known as ratios of trigonometry. These ratios demonstrate how a right triangle's edges to angles ratio functions in mathematics. The sine, cosine, and tangent trigonometric ratios are the fundamental three. The sin, cos, and tan functions can be used for calculating the other significant trig ratios, cosec, sec, and cot.

Here in the question,

Sinθ = 2/3

Now,

Cos²θ = 1 - Sin²θ

= 1- (2/3) ²

= 1 - 4/9

= (9-4)/9

= 5/9

Therefore, the value of Cos²θ = 5/9.

Option D is the correct option.

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The complete question is:

Given: sinθ = 2/3 and is in the second quadrant; evaluate the following expression: cos²θ

a). -7/9

b). -1/9

c). 1/9

d). 5/9

a shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, where t measures time in hours since 9 am. suppose that the salespeople can serve customers at a rate of 75 people per hour. answer the following questions: d. when does the line vanish? answer: equation editorequation editor hours after opening.

Answers

A shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, the line will vanish at 9 am + 2.5 hours = 11:30 am.

Since the salespeople can serve customers at a rate of 75 people per hour, the net rate at which customers are added to the line is given by:

Net rate = R(t) - 75

where R(t) is the rate at which customers arrive.

The line will vanish when the net rate becomes zero, which means that the rate at which customers are added to the line is equal to the rate at which they are served. Thus, we have:

R(t) - 75 = 0

Solving for t, we get:

R(t) = 75

Looking at the graph, we can see that R(t) is equal to 75 at approximately 2.5 hours after 9 am. Therefore, the line will vanish at 9 am + 2.5 hours = 11:30 am.

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please answer these questions fast

Answers

According to the information, to estimate the total cost for a 50-kilometer taxi ride by extending the line to a distance of 50 kilometers and reading off the corresponding y-value, which is approximately $105.00.

How to create a Table of values?

Distance (km) Total Cost ($)

0 5.00

1 7.00

2 9.00

3 11.00

4 13.00

5 15.00

b. The graph of the total cost C as a function of the distance d up to 10 kilometers is a linear function with a slope of $2.00/km and a y-intercept of $5.00.

c. Start value and rate of change:

The start value of the total cost is $5.00, which is the initial fee charged by the taxi service. The rate of change is $2.00/km, which is the cost per kilometer travelled.

d. Equation:

The equation that models the total cost C of using the taxi service for a distance of d kilometers is:

C = 2d + 5

e. Total cost of a 50-kilometer taxi ride:

Using the equation from part d, we can calculate the total cost of a 50-kilometer taxi ride:

C = 2(50) + 5 = $105.00

Alternatively, we could use the graph to estimate the total cost for a 50-kilometer taxi ride by extending the line to a distance of 50 kilometers and reading off the corresponding y-value, which is approximately $105.00.

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4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ​

Answers

Answer:

9.3 ft

Step-by-step explanation:

What is 26.48 rounded to the nearest whole number please help me

Answers

The answer is 26.

Reason?: because if it was 26.60 it will be 27 if you need more reasoning comment!

Graph ​y+6=4/5(x+3)​ using the point and slope given in the equation.

Use the line tool and select two points on the line.

Answers

Answer:

Plot (-3, -6). From this point, go up 4 units, then right 5 units, to (2, -2). Plot (2, -2), and then draw a line that goes through these two points.

Determine the values of constants a,b,c, and d so that f(x)=ax3 bx2 cx d has a local minimum at the point (0,0) and a local maximum at the point (1,3)

Answers

The function f(x) that has a local minimum at (0,0) and a local maximum at (1,3) is f(x) = 2x³ - 3x².

How to calculate the function

From the information, we can set up a system of equations as follows:

f'(x) = 3ax² + 2bx + c = 0 (at x=0)

f'(x) = 3ax² + 2bx + c = 0 (at x=1)

Plugging in x=0, we get:

f'(0) = c = 0

Plugging in x=1, we get:

f'(1) = 3a + 2b + c = 0

3a + 2b = -c = 0

3a + 2b = 0 (since c=0)

Solving the system of equations, we get:

a = 2

b = -3

c = 0

d = 0

The function is f(x) = 2x³ - 3x²

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to determine the relative effectiveness of different study strategies for the sat, suppose three groups of students are randomly selected: one group took the sat without any prior studying; the second group took the sat after studying on their own from a common study booklet available in the bookstore; and the third group took the sat after completing a paid summer study session from a private test-prep company. the means and standard deviations of the resulting sat scores from this hypothetical study are summarized below: since we are comparing more than 2 groups, we will use anova to test whether the data provide evidence that sat score is related to study strategy. one of the conditions that allows us to use anova safely is that of equal (population) standard deviations. can we assume that this condition is met in this case?

Answers

We have to make a suspicion based on the given data. The standard deviations of the three bunches are not given within the address, so we cannot straightforwardly decide whether the condition of equal standard deviations is met. Be that as it may, ready to make a few taught surmises based on what we know almost each gather.

The primary gather, which did not think about, is likely to have a bigger change in scores than the other two bunches since understudies with shifting levels of arrangement and capacity took the test. Subsequently, we might anticipate the standard deviation of this group to be bigger than that of the other two bunches.

It is conceivable that the condition of rise to standard deviations isn't met. In case the condition of equal standard deviations isn't met, we may require to utilize an altered adaptation of ANOVA, such as Welch's ANOVA, which does not expect a rise in changes. 

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when sampling from a population with , which of the following sample means is more surprising? why? sample a: a random sample of 9 pell grant recipients with a mean award amount of $2750. sample b: a random sample of 36 pell grant recipients with a mean award amount of $2750. group of answer choices sample a is more surprising because there is less variability in smaller samples. sample a is more surprising because there is more variability in smaller samples sample b is more surprising because there is less variability in larger samples. the samples are equally surprising because the sample means are equal.

Answers

Sample a is more surprising because there is more variability in smaller samples, making it less likely to obtain a sample mean that is as extreme as $2750.

Sample A is more surprising because there is more variability in smaller samples. The variability of sample means decreases as the sample size increases due to the central limit theorem.

The central limit theorem states that as the sample size increases, the distribution of sample means becomes more normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Therefore, sample A, which has a smaller sample size of 9, has a larger standard deviation and more variability in the mean award amount compared to sample B, which has a sample size of 36. It is less likely to obtain a sample mean of $2750 from a smaller sample with more variability than from a larger sample with less variability. Thus, sample A is more surprising than sample B.

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Please could you help its due tommorow

Answers

Answer:

x = 52.5

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360.

2x+100 +95+60 = 360

Combine like terms.

2x+255=360

Subtract 255 from each side

2x+255-255= 360-255

2x = 105

Divide each side by 2

2x/2 = 105/2

x = 52.5

Answer:

x = 52.5

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

Accordingly, let us find the value of x.

2x + 100 + 95 + 60 = 360

2x + 255 = 360

Subtract 255 from both sides.

2x = 360 - 255

2x = 105

Divide both sides by 2.

x = 52.5

If you make $5,525 in 15 weeks and worked 25 hours per week, how
much did you make per hour? Round your answer to the nearest cent.

Answers

Answer:

$14.73

Step-by-step explanation:

To find out how much you made per hour, you need to divide your total earnings by the total number of hours worked. 15 weeks at 25 hours per week is a total of 375 hours. Dividing $5,525 by 375 gives you $14.73 per hour. Therefore, you made approximately $14.73 per hour. Remember to round your answer to the nearest cent, so the final answer will be $14.73.

Answer:

$5,525/(15 hrs/wk × 25 wks)

= $5,525/375 hrs = $14.73/hr

assume an int variable named strawsoncamel has been declared and assigned a value. write a statement that uses the increment operator to increase the value of the strawsoncamel variable by 1.

Answers

In computer programming, variables are used to store and manipulate data. In this case, an int variable named strawsoncamel has been declared and assigned a value.

To increase the value of strawsoncamel by 1, you can use the increment operator (++). This operator adds 1 to the current value of the variable and assigns the result back to the variable.

For example, if strawsoncamel has a value of 5, the statement strawsoncamel++; would increase its value to 6. This can be useful in many scenarios, such as counting or iterating through a loop. It's important to note that the increment operator can also be used in other ways, such as ++strawsoncamel, which increments the value of the variable before it is used in an expression.

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To increase the value of the variable strawsoncamel by 1, you can use the increment operator "++". So the statement would be:
strawsoncamel++;

This will increment the value of strawsoncamel by 1. The increment operator is an example of an operator in programming, which performs a specific operation on a variable. In this case, it increases the value of the variable by 1, which is also known as an increment.
To increase the value of the integer variable `strawsoncamel` by 1 using the increment operator, follow this step:
Write the statement: `strawsoncamel++;`
This line of code will use the increment operator (`++`) to increase the value of the variable `strawsoncamel` by 1.

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