The blue figure is a translation image of the black figure. Write a rule to describe the translation.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Multiplying by 1.23123

Explanation: Slide the decimal points over by 2 points

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Multiplying by 1.23123 number is equivalent to finding 123.123%.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

123.123%

now, we have,

Multiplying by 1.23123 number is equivalent to finding 123.123%.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

x = 25 , y = 19

Step-by-step explanation:

Since the triangle has 3 congruent sides then it is equilateral

The 3 angles are also congruent, with each angle = 60° , then

2x + 10 = 60 ( subtract 10 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

and

3y + 3 = 60 ( subtract 3 from both sides )

3y = 57 ( divide both sides by 3 )

y = 19

The population of frogs in a pond is currently 50, and it increases by 30% per year. So, what is the length of time it would take for this population to double in size.The population grows at a rate of 30 percent per year. So, the annual growth rate, r, is 0.30.

The formula for calculating the doubling time of population is given by:Td = (ln2 / r) x 1whereTd is doubling time,ln2 is the natural logarithm of 2,r is the annual growth rate of the population, and1 is a constant value of time.

Substituting the values into the formula:So, the population of frogs in the pond would double in size after approximately 2.3 years, as the nearest whole number to 2.3 is 2.

To know more about approximately visit:

https://brainly.com/question/31695967

#SPJ11

The volume of the solid with base x^2 + y^2 = 1 and perpendicular cross sections that are isoceles right triangles with leg on the xy-plane is 4/3 cubic units.

To find the volume of the solid, we need to integrate the area of each cross section perpendicular to the x-axis over the interval of x that makes up the base of the solid. Since the cross sections are isoceles right triangles with leg on the xy-plane, we know that the height of each cross section is equal to the length of the leg on the xy-plane, which is given by 2√(1-x^2).

So, the area of each cross section is (1/2) * base * height, where the base is also equal to 2√(1-x^2). Therefore, the volume of the solid can be calculated as follows:

V = ∫[a,b] (1/2) * base * height dx

V = ∫[-1,1] (1/2) * 2√(1-x^2) * 2√(1-x^2) dx

V = ∫[-1,1] (1-x^2) dx

V = [x - (1/3)x^3]_[-1,1]

V = 4/3

Therefore, the volume of the solid is 4/3 cubic units.

To know more about volume,

https://brainly.com/question/28338582

#SPJ11

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

To know more about sugar limit refer here:

https://brainly.com/question/30510739#

#SPJ11

The farmer needs to sow 135 acres of corn and wheat, and 45 acres of wheat.

A linear equation is the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "linear equation in two variables" is the term used to describe the previous sentence, where y and x are variables. Two variables make up bivariate linear equations. Examples include the linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is said to be linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

180 acres total land area

The corn acres should be C.

The wheat acres should be W.

A 180-acre property is planted with wheat and corn by a farmer.

Equation 1: C + W = 180

Corn is grown on three times as many acres as wheat:

Equation 2 is created by substituting C = 3W into Equation 1. The result is:

45 acres is W.

For corn, 135 acres equals C.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

The interquartile range for the data set are

Andre

Interquartile Range: = 2

For Lin

Interquartile Range = 8

For Noah

Interquartile Range = 8

For Andre

Min: 25 the minimum number

Q1: 27 (the third position)

Median: 28 (the sixth position)

Q3: 29 (the 9th position)

Max: 30 (the maximum number)

Interquartile Range: Q3 - Q1 = 29 - 27 = 2

For Lin

Min: 20 the minimum number

Q1: 21 (the third position)

Median: 28 (the sixth position)

Q3: 29 (the 9th position)

Max: 32 (the maximum number)

Interquartile Range: Q3 - Q1 = 29 - 21 = 8

For Noah

Min: 13 the minimum number

Q1: 15 (the third position)

Median: 20 (the sixth position)

Q3: 23 (the 9th position)

Max: 25 (the maximum number)

Interquartile Range: Q3 - Q1 = 23 - 15 = 8

Learn more about interquartile range at

https://brainly.com/question/4102829

#SPJ1

The 3-aspect headway time achieved for a given train speed of 80 km/h, train deceleration of 0.85 m/s², train length of 200 m, and overlap length of 183 m, including the signal sighting time and brake delay time is 38.83 seconds.

In railway signalling, the headway time achieved is dependent on the speed of the train.

For a given train speed of 80 km/h, train deceleration of 0.85 m/s², train length of 200 m, and overlap length of 183 m, evaluate the 3-aspect headway time.

Also, include the signal sighting time dan brake delay as 10 s and 6 s, respectively, in the calculation.

Formula:

Headway time = (2L + 2D)/v + TSS + TD

where, L = train length

D = overlap length

v = velocity

TSS = Signal sighting time

TD = Brake delaytime

Now, substituting the given values in the formula, we have;

Headway time = (2L + 2D)/v + TSS + TD

Where v = 80 km/h

= (80*1000)/3600

= 22.22 m/s

L = 200 m

D = 183 m

TSS = 10 s = 10 m

TD = 6 s = 6 m

Then;

Headway time = (2L + 2D)/v + TSS + TD

= [2(200) + 2(183)]/22.22 + 10 + 6

= 38.83 s

Thus, the 3-aspect headway time achieved for a given train speed of 80 km/h, train deceleration of 0.85 m/s², train length of 200 m, and overlap length of 183 m, including the signal sighting time and brake delay time is 38.83 seconds.

To know more about deceleration visit:

https://brainly.com/question/18417367

#SPJ11

Answer:a =  17

b =  24

c =  16

d =  5

Step-by-step explanation:

a+b+c+d=62

a = b-7

c = 2/3·b

d = 5

a+b+c+d = 62

a-b = -7

2b-3c = 0

d = 5

Row 2 - Row 1 → Row 2

a+b+c+d = 62

-2b-c-d = -69

2b-3c = 0

d = 5

Row 3 + Row 2 → Row 3

a+b+c+d = 62

-2b-c-d = -69

-4c-d = -69

d = 5

d = 5/1= 5

c = -69+d/-4= -69+5/-4= 16

b = -69+c+d/-2= -69+16+5/-2 = 24

a = 62-b-c-d = 62-24-16-5 = 17

a = 17

b = 24

c = 16

d = 5

Answer:

74.25 gallons of milk per day

Step-by-step explanation:

6.75 gallons of milk/cow×11 cows=74.25gallons of milk per day

Answer:

Slope is -1

Step-by-step explanation:

Slope is always the number before the x in these equations.

(wish I could help you with the graphing- some of the points are: (2,1) (1,2) (3,0) (4,-1) (-1,4) )

(hope this helps!)

A histogram is a column chart that displays the frequency of occurrence on the vertical axis.

In a histogram, the horizontal axis represents the range or categories of data, and the vertical axis represents the frequency or count of data falling within each range or category. The height of each column in the histogram corresponds to the frequency or count of data in that particular range or category.

Histograms are commonly used to visualize the distribution of numerical data and provide insights into the shape, center, and spread of the data. They are particularly useful in identifying patterns, outliers, and understanding the overall distributional characteristics of a dataset.

Know more about histogram here:

https://brainly.com/question/30354484

#SPJ11

Answer:

0.61 °C

Step-by-step explanation:

1. You look at all the tenths in the degrees

2.You figure out which one of the tenths fits between -0.8 and -0.1

Answer:

motor of the 1500

Step-by-step explanation:

i took the test hopefully is the right one.

Answer:0.18%

Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.

1. The figure is a rectangular prism with height 17m, width 5m and length of 12m and has a volume of 1020 cubic meters.

2. The figure is square pyramid with base length of 32 mm , height of 44mm and volume is 15018.6 cubic millli meters.

1. The first figure is a rectangular prism.

The length of the prism is 12m.

Width is 5m.

Height is 17 m.

The second figure is rectangular pyramid.

The volume of the figure is Length × width × height

Volume = 12×5×17

=1020 cubic meters.

2. The length of the pyramid is 32mm.

The width of the pyramid is 32mm.

Height of the pyramid is 44mm.

Volume = (32×32×44)/3

=45056/3

=15018.6 cubic millli meters.

'To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

Learn more about Probability click here : brainly.com/question/30034780

#SPJ11

Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

To learn more about the expected average and standard deviation for a sample  from the given link

https://brainly.com/question/31319458

#SPJ4

The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

To learn more about the expected average

brainly.com/question/31319458

#SPJ4

An interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

For each calculation, the smallest interval in which the result, using true instead of rounded values, must lie is as follows:

(a) 1.1062+0.947 = 2.0532 ≤ true result ≤ 2.053

(b) 23.46 - 12.753 = 10.707 ≤ true result ≤ 10.708

(c) (2.747) (6.83) = 18.6181 ≤ true result ≤ 18.6182

(d) 8.473/0.064 = 132.3906 ≤ true result ≤ 132.3907

To learn more about the “smallest interval” refer to the: https://brainly.in/question/52697950

#SPJ11

Answer:

I believe its C, sorry if im wrong <3

Step-by-step explanation:

a) Reflection over the x-axis tranforms the point (x,y) into (x, -y). Then:

W (-1,4) → W' (-1,-4)

X (4,4) → X' (4,-4)

Y (4,1) → Y' (4,-1)

Z (-3,1) → Z' (-3,-1)

b) The graph is:

Answer:

42

Step-by-step explanation:

A regular polygon with 42 sides where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 42 sides. What are the interior angles and exterior angles?

If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 42

Perimeter of a polygon with 42 sides = (side length) x 42 = 84 units

Area of a polygon with 42 sides = (n x Side2 x cot (Π/n))/4 = (n x 22 x cot (Π/42))/4 = 560.45 square units

Sum of the interior angles of a polygon with 42 sides =  (n-2) x 180 degrees =  (42-2) x 180 degrees = 7200 degrees

Interior Angle of a polygon with 42 sides = (n-2) x 180/n degrees = (42-2) x 180/42 degrees = 171.42 degrees

Exterior angle of a polygon with 42 sides = 180 - Interior Angle = 180 - 171.42 = 8.57 degrees

Inradius = Radius of In-circle = (side length) x cot (Π/42) = 2 x cot 4 = 26.68 units

Circumradius = Radius of Circum-circle = (side length) x cosec (Π/42) = 2 x cosec 4 degrees = 26.76 units

Symmetry Group = D42  42 rotational symmetries and 42 reflection symmetries. The "D" stands for di-hedral.

The p-value represents the probability of observing a sample mean as extreme as, or more extreme than, the one obtained, assuming the null hypothesis is true.

To determine whether the population mean life span for Honolulu is less than 77 years, we can conduct a hypothesis test using the given information. Let's set up the hypotheses:

Null Hypothesis (H0): The population mean life span for Honolulu is greater than or equal to 77 years.

Alternative Hypothesis (Ha): The population mean life span for Honolulu is less than 77 years.

To find the p-value, we would need additional information such as the sample mean and standard deviation. Without those values, we cannot directly calculate the p-value. However, we can describe the process of hypothesis testing.

To test the hypothesis, we would collect a sample of life spans in Honolulu, calculate the sample mean and standard deviation, and perform a one-sample t-test or z-test depending on the sample size and information available. This test would yield a test statistic and corresponding p-value.

A small p-value (less than the significance level, typically 0.05) would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that the population mean life span for Honolulu is indeed less than 77 years.

Know more about hypothesis test here:

https://brainly.com/question/17099835

#SPJ11

Hey there!

2 + 8(x - 1)

= 2 + 8(x) + 8(-1)

DISTRIBUTE 8 WITHIN the PARENTHESES

= 2 + 8x - 8

COMBINE the LIKE TERMS

= (2 - 8) + (8x)

= 8x + (2 - 8)

= 8x - 6

Therefore, your answer should be: 8x - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

=> 2 + 8 (x - 1)

=> 2 + 8(x) + 8(-1)

=> 2 + 8x - 8

After combining the like terms,

=> (2 - 8) + (8x)

=> 8x + (2 - 8)

=> 8x - 6

Answer:

31 and 11

Step-by-step explanation:

To find the mean, add all the numbers up and divide by the sum of the number values, in this case it would be 34 divided by 11 which gives us 31. I don’t have a great definition for standard deviation but you could probably look one up at find it easily.

The given line is

We need two points to graph a line. Let's find the axis intercepts with x=0 and y=0.

The y-intercept: x=0

The y-intercept is (0,-5).

The x-intercept: y=0

The x-intercept is (-5,0).

Now, we graph these points and draw a straight line.

Answer: X= -2.1667 Y= 13