please help ! i’m so confused

Dana is not correct, she has done mistake in the second step.

An expression is combination of variables, numbers and operators.

The given expression is 45 [(4 + 3) (60 ÷ 12 - 2)]

45 [(4 + 3) (60 ÷ 12 - 2)]

The first step is  45 [7 (60÷ 10)], it is correct

The second step 45- [7.6] is wrong because 45 is a multiple of [7 (60÷ 10)]

45(42)

When we multiply 45 with 42 we get

1890

Hence, Dana is not correct, she has done mistake in the second step.

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The percentage of total budget for insurance, housing and entertainment is 3%. 13.3% and 4% respectively.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The total budget given is $4100 for the month.

The percentage of total budget for insurance is:

123/ 4100 (100) = 3%

The percentage of total budget for housing is:

574/ 4100 (100) = 13.3%

The percentage of total budget for entertainment is:

164/4100 (100) = 4%

Hence, the percentage of total budget for insurance, housing and entertainment is 3%. 13.3% and 4% respectively.

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The mean absolute deviation of the numbers will be 3.5.

The average distance between the data points and a centre point is referred to as absolute deviation. (|xi - x|)/N is the formula for mean absolute deviation. N is the number of terms in the sample, where xi is the sample's individual value and x is the sample's mean or average.

Mean = ( 4 + 15 + 8 +4 + 6 + 11 + 1 + 7 + 3 1 ) / 10

Mean = 57 / 10

Mean = 5.7

The mean absolute deviations are calculated as:-

[tex]MAD = \dfrac{\sum{(X - \bar X)}}{n}[/tex]

MAD = 34 / 10

MAD = 3.4

Hence, the value of the mean absolute deviation is 3.4.

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You should advise her to divide the three hours into smaller, more manageable study sessions with breaks in between for maximum productivity and retention.

When studying for an exam, it's important to prioritize effectiveness over efficiency. Spending three hours straight on studying can lead to burnout and decreased retention. Instead, you can suggest dividing the time into shorter, more manageable study sessions of 50–60 minutes with 10-15 minute breaks in between. This way, your friend can focus on one topic at a time, recharge during the break, and avoid mental fatigue.

It's important to encourage your friend to take care of their physical and emotional well-being by eating well, getting enough sleep, and finding ways to reduce stress. These habits can help improve their overall focus and performance during their study sessions.

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Answer:

x = -3.

Step-by-step explanation:

2x - 9 = 5x

2x - 5x = 9

-3x = 9

x = -3.

The most specific shape is rhombus for the co-ordinates A(8,3) B(7,8) C(2,7) D(3,2).

A rhombus is one type of parallelogram and has 4 sides and 4 vertices.

Every side is equal in length and opposite angles are equal.

We have four co-ordinates,

A(8,3) B(7,8) C(2,7) D(3,2).

The length of the segment AB = √{(8 - 7)² + (3 - 8)²} = √26 units.

The length of the segment BC = √{(7- 2)² + (8- 7)²} = √26 units.

The length of the segment CD = √{(2 - 3)² + (7 - 2)²} = √26 units.

The length of the segment AD = √{(8 - 3)² + (3 - 2)²} = √26 units.

That means, all the sides are equal.

Now, let the slope of AC = slope of BD

(7 - 3)/(2 - 8) ≠ (2 - 8)/(3 - 7)

The slope of the diagonal is not equal.

Therefore, the shape is rhombus.

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The value of function at x = - 2 is, 4

The value of function at x = 0 is, 6

The value of function at x = 5 is, 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f (x) = x + 6

Now, Substitute x = -2 in above equation,

⇒ f (x) = x + 6

⇒ f (-2) = -2 + 6

⇒ f (-2) = 4

Substitute x = 0 in above equation,

⇒ f (x) = x + 6

⇒ f (0) = 0 + 6

⇒ f (0) = 6

Substitute x = 5 in above equation,

⇒ f (x) = x + 6

⇒ f (5) = 5 + 6

⇒ f (5) = 11

Thus, The value of function at x = - 2 is, 4

The value of function at x = 0 is, 6

The value of function at x = 5 is, 11

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Answer:

Hi! The answer is $591,013

aka D!

Step-by-step explanation:

A capital asset is property that is expected to generate value over a long period of time, such as a building, machinery, and vehicles.

Answer:

3 * 15 - 12 = 33   So, the equation is saying that the result of 3 times 15 minus 12 is equal to 33.

Step-by-step explanation:

Let's call the number of 7th graders "x". Then, the number of 8th graders is 3 * x - 12.

The total number of students in the student council is 48, so we can set up an equation:

x + (3 * x - 12) = 48

Expanding and simplifying:

4x - 12 = 48

Adding 12 to both sides:

4x = 60

Dividing both sides by 4:

x = 15

So, there are 15 7th graders and 3 * 15 - 12 = 33 8th graders in the Kennedy Middle School student council.

Answer: 36 8th graders and 12 7th graders

Step-by-step explanation:

48-12=36

36 divided by 3=12

With this information, 12 7th graders and 36 8th graders

The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).

The given equations are;

A) 2x + 3y = 9

B) 2y - 3x = 8

The general equation of a line, in a slope intercept form, is given by,

y = mx + c, where m is the slope of the line and c is the y-intercept,

A) 2x + 3y = 9

3y = 9-2x

y = -2x/3 + 3....(i)

B) 2y - 3x = 8

2y = 3x+8

y = 3x/2 + 4.....(ii)

Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,

We know that slopes of two perpendicular lines are negative reciprocal of each other,

Therefore, the given two line are perpendicular to each other.

Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

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5 more than a number is greater or equal to 27

The "number" can be represented as x.

[tex]\boxed{x+5\geq 27}[/tex]

Seth must attend the move 17 times

The difference in price of matinee is

= price of matinee normally - price of matinee with movie pass

=  3.50 - 1

= 2.5

We divide to find the number of times

= 40 / 2.5

= 16

In other that Seth's father benefits Seth must attend at least 17 times

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Answer:

288

Step-by-step explanation:

175 times 100 divided by 55 = 320

320 times .9 = 288

Answer: your answer would be 288

Step-by-step explanation:

a) The pmf of x is a geometric distribution,[tex]p(x) = (3/75)(72/75)^(x-1).[/tex]

b) The expected number of bulbs tested until he gets a defective for the first time is 25.

a) The probability of success (getting a non-defective bulb) is 72/75 and the probability of failure (getting a defective bulb) is 3/75. The pmf of x is a geometric distribution, [tex]p(x) = (3/75)(72/75)^(x-1)[/tex]. This means that the probability of success P is multiplied by [tex](1-P)^(x-1)[/tex] for each x value. b) The expected number of bulbs tested until he gets a defective for the first time is 25. This can be calculated as the sum of all x values multiplied by the corresponding pmf values: [tex]E(x) = Σ x p(x) = 3/75 + 24/75 + 48/75 + 72/75 + ... = 25[/tex].

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Answer: it is called a parabola

Step-by-step explanation:

The gross pay based on the given information is $372.

Gross Salary is the amount of salary after adding all benefits and allowances but before deducting any tax, Net Salary is the amount that an employee takes home.

Given that, regular hours worked: 40 and overtime hours worked: 8.

Regular rate of pay: $7.75 per hour

So, gross pay = 40×7.75+8×7.75

= $372

Therefore, the gross pay is $372.

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There are a total of 5 distinct rectangles that can be formed whose area is equal to 5 times the numerical value of the perimeter.

The area of a rectangle is given by:

A = L*W, where L- length of rectangle and W- width of rectangle,

The perimeter of a rectangle is given by:

P = 2*(L + W)

Since area of rectangle in square units is equal to 5 times the numerical value of the perimeter of the rectangle, on substituting the perimeter in terms of the area, we get:

P = 2(L + W) = 2( √(A/5) * √(5A))

Since the length of the sides must be integers, the possible values of area can be 5, 25, 125, and so on.

For each value of A, there can only be one possible rectangle that is formed. Therefore, only 5 distinct rectangles with integer side lengths that can be formed which meets the provided criteria.

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The probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

To find the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A, we first need to determine the proportion of plumbing jobs done by Plumber A that result in consumer dissatisfaction.

Given that half the complaints dealt with Plumber A and that Plumber A does 40% of the plumbing jobs in the town, we can calculate this proportion as follows:

Proportion of unsatisfactory plumbing jobs done by Plumber A = (Half the complaints / Total number of plumbing jobs done by Plumber A)

= (Half the complaints / 40% of the total plumbing jobs in the town)

= (Half of 10% / 40%)

= 10% / 2 / 40% = 1 / 4 = 0.25

Therefore, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25.

To find the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A, we subtract the probability of obtaining an unsatisfactory plumbing job from 1:

Probability of a satisfactory plumbing job given that the plumber was Plumber A = 1 - Probability of an unsatisfactory plumbing job

= 1 - 0.25

= 0.75

Therefore, the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

In conclusion, given that Plumber A does 40% of the plumbing jobs in the town and that half the complaints dealt with Plumber A, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25, and the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75. These probabilities can be used to make informed decisions about which plumber to choose for plumbing jobs in the community.

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The initial value is 2000

The constant percentage growth rate is 20%

The growth factor is 1.2

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, P = 2000(1.2)^t

the initial value = 2000

the base = 1.2

the exponents = t

The base is what says whether it will be an exponential growth or decay. For values of the base greater than 1 is exponential growth

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Answer:

see below

Step-by-step explanation:

shift B right by 4units & up by 2 units to have point B overlap point A so the 2 circles center will be overlapped

The equation d = (100/3)h models the amount in dollars, d, Troy charges when it take him, h, hours to mow a lawn.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given,

Troy charges $50 to mow the lawn that  took him 1.5 hours to mow

Charges are proportional to time.

If charges are d and time is h

then,

Ratio of Charges to time

⇒ d/h = 50/1.5      

⇒ d/h = 100/3

⇒ d = (100/3)h

Hence, d = (100/3)h is the equation that can be used to calculate the amount with time.

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Answer:

Only can do the first one

Let's call the measures of the angles in the triangle x, 3x, and 4x.

According to the ratio, we have:

x : 3x : 4x = 8 : 3 : 4

To find the value of x, we can set up a proportion:

8/x = 3/(3x) = 4/(4x)

Cross multiplying, we get:

8x = 12

So, x = 12/8 = 3

Therefore, the measures of the angles in the triangle are 3x, 3(3x), and 4(3x).

The measure of the largest angle is 4x = 4(3) = 12.

As per the concept of permutation 100 out of the 800 students at the college live on campus and are 20 years old or less.

A permutation is the arrangement of objects in a specific order. In this problem, we are trying to find the number of students who live on campus and are 20 years old or less.

From the information given, we know that 250 students live on campus and are more than 20 years old. If there are 800 students in total at the college, then the number of students who are not living on campus is

=> 800 - 250 = 550.

We also know that 640 students at the college are more than 20 years old. This means that the number of students who are 20 years old or less is

=> 800 - 640 = 160.

Finally, we know that 60 students at the college are 20 years old or less and live off campus.

So, the number of students who live on campus and are 20 years old or less is

=> 160 - 60 = 100.

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The number of gold won by Korea is 12

The number of gold won by Italy is 13

The number of gold won by France is 15

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of gold won by Korea = x

Number of gold won by Italy = x + 1

Number of gold won by France = x + 2

Now,

The total number of gold medals won by these three countries is three consecutive integers whose sum is 39.

This means,

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 39 - 3

3x = 36

x = 12

Thus,

Number of gold won by Korea = 12

Number of gold won by Italy = 13

Number of gold won by France = 15

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Answer c

w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81

Step-by-step explanation:

The statement which true about the triangle is a) w = 99°, because 42 + 39 = 81 and 180 – 81 = 99.

A triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.

In Euclidean geometry, every three points define a unique triangle and a unique plane (that is, two-dimensional Euclidean space) when they do not collide. In other words, only one plane contains its sides, and every triangle contains many faces. If the whole geometry is just Euclidean planes, there is only one plane and everything is contained within it; however, in high-dimensional Euclidean space, this is no longer true.

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A possible reason for the strong positive correlation is high levels of rainfall. (fourth option)

Correlation is a measure used in statistics to measure the linear relationship that two variables have.

When two variables have a positive correlation, it means that the two variables move in the same direction. In this question, the number of umbrellas sold increase when water levels in streams increase. An reason for this could be that the increased water levels lead to higher rate of rainfall which would lead to people buying more umbrellas.

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The correct option: A. 12.78% of the variability of verbal score that can be explained by the linear regression on the math score.

Students majoring in statistics at Prosperity University responded to a survey that requested their Verbal as well as Math SAT scores. Depending on the math score, they sought to anticipate the verbal score.

Stated values:

We must first comprehend what a correlation coefficient is, claims the assertion.

Here, depending on the survey results, they seek to determine the verbal score using the math number (independent variable).

r² = 0.1278

r = √0.1278

Statement(1): - 12.78% of the verbal score variability that the linear regression on the mathematics score can account for.

TRUE. The provided model accounts for 12.78% of the variability and the verbal and mathematical scores.

Statement #2: A linear regression just on verbal score can account for 12.78% of the variance in math scores.

FALSE, Since the verbal score rather than the numerical score is the dependent variable.

Statement 3: The verbal significant dimension by 12.78 points for every 1 point improvement in math scores.

FALSE, the determination coefficient does not accurately capture the slope of the a linear model.

Statement (4): A math score increases up 12.78 points for every 1 point that the verbal score goes up on average.

FALSE—the determination coefficient does not accurately capture the slope of the a linear model.

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The correct question is-

A survey of Statistics undergraduate at Prosperity University completed a survey that asked for their Verbal and Math SAT scores. They wanted to predict the verbal score based on the math score. The value of R-Squared was 12.78%. Interpret R-squared.

Group of answer choices

A. 12.78% of the variability of verbal score that can be explained by the linear regression on the math score.

B. 12.78% of the variability of math score that can be explained by the linear regression on the verbal score.

C. As the math score increases by 1 point on average, the verbal score increases by 12.78 points.

D. As the verbal score increases by 1 point on average, the math score increases by 12.78 points.

The area of the smaller trapezoid is 39 ft².

Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape.

Given:

The area of the larger trapezoid is 61 ft².

and, side of smaller trapezium, a  = 24 feet

side of larger trapezium, b = 30 feet

So, Area of the larger trapezoid / Area of the smaller trapezoid = b² /a²

61 / Area of the smaller trapezoid = 30² / 24²

Area of the smaller trapezoid = 39 ft²

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Since the new score is below the current average score, it sure decreases the average score.

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Answer:

-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

1/-25

Step-by-step explanation:

First we plug it in

-(-5)^-2

Then since the exponent is negative, we take the equation and put it under one which makes it a positive.

1/-(-5)^2

Then we solve the exponent

1/-(25)

Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get

1/-25