for her birthday. Stephanie received $50 from her grandmother and $15 from her aunt. She spent $10.90 each on two CD's, $20.25 on a sweater, and $10.30 at the movies. Estimate how much she had left from her birthday money.​

Answer:

C. Negative skew

Step-by-step explanation:

I did the test and got it right, plato / edmentum

The simplified expression that represents the perimeter of the new triangle

is 72c² + 20c.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the perimeter of any two-dimensional planer figure is the sum of the lengths of it's all the sides except the circle.

The given perimeter of the right angle triangle is,

= (4c + 6c + 4 + 8c + 1).

= 18c + 5.

Therefore, The new perimeter of the triangle will be,

= 4c(18c + 5).

= 72c² + 20c.

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Answer:

Step-by-step explanation:

I hope this helps

The long division process is explained below.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

While doing long division method, you have to follow certain steps.

Consider an example 259 ÷ 9.

259 is the dividend, 9 is the divisor.

First consider the first digit of the dividend, which is 2. But 2 is not greater than or equal to 9.

So take the next digit also and so consider the first two digits.

The first two digits of the dividend is 25.

25 is not a multiple of 9.

The number which is a multiple of 9 nearer to but less than 25 is 18.

18 = 2 × 9.

Write 2 in the quotient and subtract 25 - 18 = 7

Now 7 is less than 9. So bring down the next (third) digit of the dividend, which is 9.

So the number we get is 79.

Again 79 is not a multiple of 9. The nearest lesser multiple of 9 is 72.

72 = 9 × 8

So write 8 in the quotient.

Remainder is 79 - 72 = 7

So we get the quotient as 28 and the remainder is 7.

Hence the simplification of the long division is explained.

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Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf m = 11}\)

Step-by-step explanation:

-7m + 10m - 8 = 25

3m - 8 = 25

Add 8 to both sides

3m = 25 + 8

3m = 33

Divide 3 to both sides

m = 33/3

m = 11

\(\rule[225]{225}{2}\)

Answer:

mean = 24

Step-by-step explanation:

From inspection, there are 7 values.

The values are 12, 13, 15, 28, 28, 30, 42

To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Divide by the number of values:  168 ÷ 7 = 24

Therefore, mean = 24

The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:

iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.

To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:

Case 1: (8 - x) ≥ 5

To solve this inequality, we have:

8 - x ≥ 5

-x ≥ 5 - 8

-x ≥ -3 (multiplying by -1 and reversing the inequality)

x ≤ 3 (dividing by -1 and reversing the inequality)

Case 2: -(8 - x) ≥ 5

To solve this inequality, we have:

-8 + x ≥ 5

x ≥ 5 + 8

x ≥ 13

Combining the solutions from both cases, we have:

x ≤ 3 or x ≥ 13

So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.

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Answer: To find how much Godwin owes Aidan, we first need to calculate the total cost of the items Aidan purchased:

10 cans of soup for $8.69, so the cost per can of soup is $8.69/10 = $0.869 per can.

1 case of chili for $19.20, so the cost per can of chili is $19.20/24 = $0.80 per can.

Godwin takes 4 cans of soup at $0.869 per can, which is a total of 4 x $0.869 = $3.476 for the soup.

Godwin takes 12 cans of chili at $0.80 per can, which is a total of 12 x $0.80 = $9.60 for the chili.

Therefore, Godwin owes Aidan $3.476 + $9.60 = $13.076.

The unit rate of the soup is $0.869 per can.

The unit rate of the chili is $0.80 per can.

Step-by-step explanation:

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

In the given scenario, the researcher reviews study data about head circumference in newborns and notes that study

personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end.

This is an example of systematic measurement error.

Systematic measurement error refers to a consistent deviation from the true value in a particular direction in a series of

measurements.

This error is also referred to as bias. In the given scenario, the personnel are measuring from the end of the measuring

tape and not from the zero point, which is 1 cm from the end.

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

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Answer:

x >-2

Step-by-step explanation:

-3 (x -3) > 5 - 5x

Distribute

-3x +9 > 5-5x

Add 5x to each side

-3x +9+5x > 5-5x+5x

2x +9> 5

Subtract 9 from each side

2x+9-9>5-9

2x > -4

Divide each side by 2

2x/2 >-4/2

x >-2

Answer:

A. x > -2.

Step-by-step explanation:

-3 (x -3) > 5 - 5x

-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:

-3x + 5x = 5 - 9

2x > -4

x > -2.

The William can run 165/16 laps in 1 hour, which can be simplified as 10 5/16 laps in 1 hour.

William ran 2 3/4 laps around a track in 4/15 of an hour.

We can first convert the mixed number 2 3/4 to an improper fraction as: 2 3/4 = (2 × 4 + 3)/4 = 11/4

Now, let the number of laps William can run in 1 hour be x.

We can solve for x as follows: Distance covered in 4/15 hours = 2 3/4 laps

Distance covered in 1 hour = (x/1) laps

To compare the distances covered, we need to make the time intervals equal.

We can multiply the number of laps in 1 hour by (4/15)/(1/1) as follows: 2 3/4 laps = (11/4) laps in 4/15 hour(x/1) laps = x laps in 1 hour

We can equate the two distances covered as follows: (11/4) laps in 4/15 hour = x laps in 1 hour(11/4) × (15/4) = x11 × 15/16 = x165/16 = x

Therefore, William can run 165/16 laps in 1 hour, which can be simplified as 10 5/16 laps in 1 hour.

William can run 165/16 laps in 1 hour.

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4√5 is the simplified form of  square root of 10 times square root of 8 .

First, The square root of ten is √10

and, the square root of 8 is √8

Now, simplify square root of 10 times square root of 8.

= √10×√8

By radical property (√a×√b=√a×b

So,√10×√8=√(10×8)=√80

=√16×5

=4√5

Thus, 4√5 is the simplified form of  square root of 10 times square root of 8 .

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Hi! Based on the information provided, using homework 10 data with a significance level (α) of 0.05 and a p-value of 0.038, your conclusion is that you would reject the null hypothesis.

This is because the p-value (0.038) is less than the significance level (0.05), indicating that there is significant evidence to suggest that the alternative hypothesis is true. Therefore, the conclusion is made based on the evidence to suggest that there is a statistically significant difference between the groups being compared in the study analyzed in homework 10.

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Given:

2.2 pounds = 1 kilogram

Weight of Mary = 120 pounds.

To find:

The weight of Marry in kilograms.

Solution:

We have,

2.2 pounds = 1 kilogram

Using this conversion, we get

1 pound = \(\dfrac{1}{2.2}\) kilogram

120 pound = \(\dfrac{1}{2.2}\times 120\) kilogram

                  = \(\dfrac{120}{2.2}\) kilogram

                  \(\approx 54.54\) kilogram

Therefore, the weight of Mary is about 54.54 kilograms.

Answer:

Your input: find x in the equation −x2−12=0

x=−24

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

The center line in a box plot represents the median

The equation of the line in point-slope form is y + 3 = (1/2)(x - 6), and in slope-intercept form is y = (1/2)x - 6.

To write the equation of a line in point-slope form and slope-intercept form given a point (6, -3) and a slope of 1/2:

1. Point-Slope Form:

The point-slope form of a linear equation is given by: \(y - y_1 = m(x - x_1)\), where (\(x_1, y_1\)) is a point on the line and m is the slope.

Substituting the values into the equation:

y - (-3) = 1/2(x - 6)

y + 3 = 1/2(x - 6)

2. Slope-Intercept Form:

The slope-intercept form of a linear equation is given by: y = mx + b, where m is the slope and b is the y-intercept.

Using the given slope (1/2) and the point (6, -3), we can solve for the y-intercept (b).

-3 = (1/2)(6) + b

-3 = 3 + b

b = -6

The equation in slope-intercept form is:

y = 1/2x - 6

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

1.1???????

Step-by-step explanation:

Answer:Its most likely to be D

Step-by-step explanation:

The surface area of the given surface between the planes y = 0, y = 2, z = 0, and z = 2 is 4√2. The surface area of the given surface between the planes y = 0, y = 2, z = 0, and z = 2 is found using a double integral of a cross product.

To find the surface area, we'll use the double integral of a cross product formula: Surface Area = ∬√(1 + (fₓ)² + (fᵧ)²) dA

where fₓ and fᵧ are the partial derivatives of the function f(x, y) that defines the surface.

The given surface is defined by x = 2² + y. Let's find the partial derivatives of f(x, y): fₓ = ∂f/∂x = ∂/∂x (2² + y) = 0

fᵧ = ∂f/∂y = ∂/∂y (2² + y) = 1

Now, let's set up the double integral over the region between the planes y = 0, y = 2, z = 0, and z = 2:

Surface Area = ∬√(1 + (fₓ)² + (fᵧ)²) dA

Since fₓ = 0, the square root term becomes 1: Surface Area = ∬√(1 + (fᵧ)²) dA

The region of integration is defined by 0 ≤ y ≤ 2 and 0 ≤ z ≤ 2. We can express the surface area as a double integral:

Surface Area = ∫₀² ∫₀² √(1 + (fᵧ)²) dz dy

Since fᵧ = 1, the square root term simplifies:

Surface Area = ∫₀² ∫₀² √(1 + 1²) dz dy

= ∫₀² ∫₀² √2 dz dy

= √2 ∫₀² ∫₀² dz dy

= √2 ∫₀² [z]₀² dy

= √2 ∫₀² 2 dy

= √2 [2y]₀²

= √2 (2(2) - 2(0))

= 4√2

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The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.

To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.

The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.

To calculate the area of the sector, we can use the formula:

Area of Sector = (θ/360°) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.

Plugging in the values:

Area of Sector = (60°/360°) * π * (3)²

Area of Sector = (1/6) * 3.14159 * 9

Area of Sector ≈ 4.7124 square inches

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If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. The rules to show this include SSS, SAS, ASA.

Side-Side-Side (SSS) Rule The SSS rule states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent

The SAS rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

The ASA rule states that if two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

An overview was given due to the incomplete information.

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The slope of the regression line is 0.922. Option C is correct.

The coefficient of determination (R-squared) is defined as the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model. It can be calculated as the square of the correlation coefficient (r) between the dependent and independent variables.

If we assume a simple linear regression model with a single independent variable (x) and a single dependent variable (y), the slope of the regression line (b) can be calculated as:

b = r * (Sy / Sx)

where r is the correlation coefficient between x and y, Sy is the standard deviation of y, and Sx is the standard deviation of x.

If the coefficient of determination is 0.85, then the correlation coefficient is the square root of 0.85, which is approximately 0.922. Assuming the standard deviations of x and y are known, we could use the formula above to calculate the slope of the regression line as:

b = 0.922 * (Sy / Sx)
Therefore, 0.922, could be the slope of the regression line in this case, if the assumptions of a simple linear regression model with known standard deviations are met. Option C is correct.

The complete question is

The coefficient of determination resulting from a particular regression analysis was 0.85. What was the slope of the regression line?

a. 0.85

b. -0.85

c. 0.922

d. There is insufficient information to answer the question.

e. None of the above

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Answer:

for every 1x there is 14y.

If  circumference of a circle is 7π cm then area of circle is 38.465 square centimeter

The circumference of a circle is 7π cm

We have to find the area of the circle

To find area we have to know the radius

Circumference = 2πr

7π= 2πr

r=7/2

= 3.5 cm

Area of circle = πr²

=3.14×(3.5)²

=3.14×3.5×3.5

=38.465 square centimeter

Hence, if  circumference of a circle is 7π cm then area of circle is 38.465 square centimeter

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Answer:

√61

Step-by-step explanation:

→ Find the distance between y coordinates

2 --4 = 6

→ Find distance between x coordinates

2--3 = 5

→ Find distance

√6² + 5² = √36 + 25 = √61