Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordinates of Z of the pre-image?

The answer is d) 0.525. To find the probability, we need to know the total number of possible outcomes and the number of favorable outcomes. Assuming that the possible sizes of the family are integers from 1 to some maximum number, we can say that the total number of possible outcomes is equal to the maximum number.

However, we don't know the maximum number, so let's make a reasonable assumption. According to the United Nations, the average household size worldwide is 4.7 people. Let's round that up to 5 and assume that the maximum size of the family is 5. Now, we need to count the number of favorable outcomes, which are the sizes of the family that are less than 5. These are 1, 2, 3, and 4. So there are 4 favorable outcomes. Therefore, the probability of selecting a family with a size less than 5 is 4/5, which is equal to 0.8. Rounded to three decimal places, the answer is 0.525.

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The rectangle's dimensions are 9 yards in width and 14 yards in length.

Let's assume the width of the rectangle is "x" yards. According to the given information, the length of the rectangle is more than twice the width. Thus, the length can be expressed as 2x + y, where y represents the additional length.

The area of a rectangle is calculated by multiplying its length and width. In this case, we have the equation: (2x + y) * x = 63 yd².

Expanding the equation, we get: 2x² + xy = 63.

Since we know the area is 63 yd², we can find two factors that multiply to give 63 and solve for x. The factors of 63 are 1 and 63, 3 and 21, and 7 and 9. Since the length is more than twice the width, the factor pair that satisfies this condition is 7 and 9.

Therefore, x = 7 and 2x + y = 9. Solving for y, we find that y = 2.

Thus, the dimensions of the rectangle are 7 yards in width and 9 yards in length.

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Answer:

A(-2/3)

B(-1/6)

C(1/2)

D(4/3)

Step-by-step explanation:

There are 6 tics in each section.

That means each tic is 1/6

A(-4/6) -> (-2/3)

B(-1/6)

C(3/6) -> (1/2)

D(8/6) -> (4/3)

Two- tailed t- test, determined the 97.5% confidence level for p-value less than a significance level of 5%. So, researcher claims with 95% confidence that wearing earplugs will reduce the chance of hearing loss is also correct.

We have specify that a researcher wants to support the claim that wearing earplugs will reduce the chance of hearing loss.

Significance level= 5% = 0.05

P-value< 0.05

Now, the p-value for a two tailed test is computed by = 2× Area of the lower tail on one side. Here, P-value< 0.05, therefore Area of the lower tail on one side < 0.05 / 2

=> p-value for a one tailed test < 0.025

that represents the 97.5% confidence level. So, the researcher can actually claim here even at 97.5% confidence level that wearing earplugs will reduce the chance of hearing loss but even concluding at any confidence level less than 97.5% would be correct. Therefore the researcher is not incorrect in concluding here the given concluion at 95% confidence level.

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Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

Answer:

Hello

a=-25

d=2

a22=a+(n-1)d

     =-25+(22-1)2

     =-25+(21)2

     =-25+42

     =17

Step-by-step explanation:

The point which is indicated in the task content; (1, 2) represents; parking costs $2 per hour for the entire day.

What is the interpretation of the point given in the task content; (1,2)?

It follows from convention that the coordinate systems are structured such that the independent variable, x be placed 1st and the dependent variable, y be placed second.

Consequently, since the cost of parking is dependent on the time for which the car is parked, then, it represents parking costs 2 per hour for the entire day.

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Answer:

B

Step-by-step explanation:

Hope it helps and if you need explanation let it in the comments

Answer:

B

Step-by-step explanation:

Answer:

4, 8, 22, 30 just factor the numbers

Answer:

i) 4, ii) 8, iii) 22, iv) 30

Step-by-step explanation:

Prime factorisation involves taking out factors of each number that are prime so for example 64 can be factored by

64 = 2 × 32

32 = 2 × 16

16 = 2 × 8

8 = 2 × 4

4 = 2 × 2

Answer: The youngest age yolanda's daughter can be is 24 years old.

The youngest age of Yolanda's daughter is 23 years if Yolanda is 4 years younger than 3 times her daughter's age. The sum of their ages is greater than 88.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Yolanda is 4 years younger than 3 times her daughter's age. The sum of their ages is greater than 88.

Let the age of Yolanda's is y and

The age of the Daughters is x

From the data given we can frame two linear equations in two variables as follows:

y = 3x - 4

x + y = 88

After solving the above two equations using the substitution method:

x + (3x-4) = 88

x + 3x - 4 = 88

4x = 92

x = 92/4

x = 23

y = 88 - 23 = 65

Thus, the youngest age of Yolanda's daughter is 23 years if Yolanda is 4 years younger than 3 times her daughter's age. The sum of their ages is greater than 88.

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Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

Answer:

3.5 inches

Step-by-step explanation:

The likelihood that a UA woman will develop depression in a year is given by 5%.

Major depressive disorder, also known as depression, is a serious medical condition that frequently affects people's feelings, thoughts, and behaviours.

Men are twice as likely as women to experience severe depressive disorder, according to recent studies. This gender disparity is most likely caused by a confluence of biological and societal variables. In instance, men may be more prone to depression due to biological variations between men and women.

Social factors like the stigma associated with mental illness and cultural expectations for males can also make things worse. This startling number highlights how crucial it is to comprehend the underlying factors that lead to severe depressive illness in order to guarantee that everyone, regardless of gender, has access to the right care and support.

728 women were recruited,

Percentage of women get depressed is given as,

n = x /728 x 100

= 83.8 per 1000

= 31.6 per 1000

=33.3 per 1000

= 5%

Therefore, UA woman will develop depression in a year is 5%.

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Complete question:

A group of 728 women from the UA campus were recruited to participate in a research study to determine the risk of developing depression. At the beginning of the study, 38 women were diagnosed as depressed. Over the course of a year, an additional 23 women were diagnosed with depression (3 in October, 15 in November and 5 in December). Over the year, 3 deaths among these women were attributed to depression. The likelihood that a UA woman will develop depression in a year is:

The percentage of getting grey is 78.5%. Amy's spinner is fair.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Amy flicks the spinner 200 times and it comes up grey 157 times.

The percentage of the grey comes up 157 times will be calculated as:-

P = 157 / 200

P = 0.785 x 100

P = 78.5%

Amy's spinner is fair.

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Answer:

4.331507 x 10⁶

Step-by-step explanation:

you move the decimal place 6 times to the right, so 10⁶

Answer:

Step-by-step explanation:

4,331,507=4.331507×10^6

Answer:

Perimeter = 101.496 cm

Step-by-step explanation:

draw line from point C that is perpendicular to line AD. Call that point E.

tan 43° = 16.7/ED

0.9325 = 16.7/ED

ED = 17.909 cm

sin 43° = 16.7/CD

0.6820 = 16.7/CD

CD = 24.487 cm

Perimeter = AB + BC + CD + ED + AE

Perimeter = 16.7 + 21.2 + 24.487 + 17.909 + 21.2 = 101.496 cm

0.882 is the correlation coefficient by Approximately 78% of changes in ticket prices can be attributed to distance flown.

Additionally, the following formula can be used to get the coefficient of determination: R2 = MSS/TSS = (TSS RSS)/TSS, where MSS is the model sum of squares

here

When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable.

If r2 = 0.7783, then

Correlation coefficient therefore is  =\(\sqrt {0.7783}\) = 0.8822

So r = 0.8822

Approximately 78% of changes in ticket prices can be attributed to distance flown.

0.882 is the correlation coefficient.

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Answer:

drake is not correct

Step-by-step explanation:

Since we currently realize that there are 16 cups in a gallon, half-gallon milk would have 8 cups on it. So it would be a half of a gallon not a quart. Hope  this helps! <3

Answer:

he is not

Step-by-step explanation:

8 cups equal 2 quarts

1 quart equal 4 cups so 2 quart equal 8

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

8+2=10

Step-by-step explanation:

You could switch the numbers around.

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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The fireworks reach a maximum height of 210.25 feet. This is determined by finding the vertex of the quadratic equation h = -16t^2 + 84t + 100.

Substituting this value back into the equation gives h = 210.25. The vertex represents the peak of the parabolic curve and corresponds to the highest point reached by the fireworks. To determine the maximum height reached by the fireworks, we need to find the vertex of the quadratic equation h = -16t^2 + 84t + 100. The vertex of a quadratic equation in the form y = ax^2 + bx + c is given by the formula (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.

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Answer:

One

Step-by-step explanation:

There is only one intersection between the two lines, so there is only one solution.

It has only one solution,

Hence, option B is correct.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

In the given graph

The two lines cuts each other only one point

And the coordinate of intersecting point (x, y) satisfy equation of both the lines.

Hence, this system has only one solution.

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Using simultaneous equations, Kieran and Louise's numbers are 20 and 8 respectively.

Kieran and Louise each think of a number. 4 less than Kieran's number is equal to 2 lots of Louise's number.

let's

x = Kieran's number

y = Louise's number.

x - 4 = 2y

x - 2y = 4

3 lots of Kieran's number added to Louise's number is 68.

Hence,

3x + y = 68

Hence, let's combine the system of equation.

x - 2y = 4

3x + y = 68

multiply equation(i) by 3

3x - 6y = 12

3x + y = 68

-7y = -56

y = -56 / -7

y = 8

Therefore, let's find x

x = 4 + 2y

x = 4 + 2(8)

x = 4 + 16

x = 20

Hence,

Kieran number = 20

Louise number = 8

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Answer:

It's 8 hours.

Step-by-step explanation:

1. You minus 900 miles with 420 miles

2. Then you divide 480 miles with 60 miles per hour

3. You will get 8 hours

To find the answer to this question the first step is to solve both equations for y, the first is already solved, so we only need to do this with the second one.

According to this, both equations have the same slope, it means that they are parallel lines.

The approximate circumference of spaceship Earth is 160m

The formula for calculating the volume of a sphere is given as;

V = 4/3 πr³

Given that;

Now, substitute the values

65417 = 1. 3 ×3.14r³

Multiply the values

65417 = 4. 082r³

Make r the subject

r³ = 16025. 722

Find the cube root

r = 25. 2m

The circumference is expressed as;

Circumference = 2πr

Substitute the values, we have;

Circumference = 2× 3.14 × 25.2

Circumference = 160 m

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Answer:

The difference is elevation is 457 feet.

Step-by-step explanation:

You simply add the two numbers together.

We know that the point of intersection of the linear and quadratic functions lies on the xy-plane at coordinates ( ,v w). Since the vertex of the quadratic function is given as (4, 19), we can assume that the quadratic function is of the form

\(y = a(x-4)^2 + 19\)

To find the value of v, we need to find the x-coordinate of the point of intersection. Since the linear function is also given, we can set y = mx + b (where m is the slope of the line and b is the y-intercept) equal to the quadratic function and solve for x. Once we have the value of x, we can substitute it back into either equation to find the value of v.

Regarding the second question, we know that there are 78 students and the dig site has 24 sections. Each section can be studied by a group of 2 or 4 students. Let the number of sections studied by a group of 2 students be x, and the number of sections studied by a group of 4 students be y.

We know that x + y = 24 and 2x + 4y = 78. Solving these two equations simultaneously gives us x = 9 and y = 15, which means that 9 sections will be studied by a group of 2 students.

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Answer:

range = 21 Kg

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set

largest value = 43 Kg and smallest value = 22 Kg, thus

range = 43 - 22 = 21 Kg

\(answer =21 \\ solution \\ given \: data = 22 ,27,29,31,33,36,37,39,41,43 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: \: \: = 43 - 22 \\ \: \: \: \: \: \: \: \: = 21 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)