Luther drew on his graph paper. After performing a series of transformations, Isabella drew What is the sequence of transformations Isabella used to produce ？
Rotate clockwise about the origin; translate 10 units down.
Rotate clockwise about the origin: translate 1 unit up.

We are given that the distribution of maximum oxygen uptake for elite athletes is approximately normal with mean 69 and standard deviation 7.6.

To find the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg, we need to standardize the value using the formula:

z = (x - μ) / σ

where,

x = the value of 84.2 ml/kg

μ = the mean of 69 ml/kg

σ = the standard deviation of 7.6 ml/kg.

Plugging in the values, we get:

z = (84.2 - 69) / 7.6

    = 2.03

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being greater than or equal to 2.03 is 0.0217. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg is 0.0217.

z = (58.36 - 69) / 7.6

   = -1.36

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being less than or equal to -1.36 is 0.0869. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg is 0.0869.

Learn more Probabilities on

https://brainly.com/question/30034780

#SPJ1

Answer:

y = 17

Step-by-step explanation:

the initial value of the function is obtained when x = 0

• note that [tex]a^{0}[/tex] = 1

then

y = 17[tex](1.24)^{x}[/tex] ← substitute x = 0

y = 17[tex](1.24)^{0}[/tex] = 17 × 1 = 17

initial value of the function is y = 17

The quadratic equation y = 6x²+ 19x -20 has the same standard form as Ax+By +C = 0.

what is quadratic equation ?

A quadratic polynomial in an independent condition is represented by the expression x ax²+bx+c=0. a 0. Since this equation is of second order, the Fundamental Theory of Algebra requires that it has at best one solution. There can be both simple and complex solutions.

A quadratic equation is just that—quadratic. This indicates that which has at least yet another word that has to be squared. One of the often cited solutions for differential calculus is "ax² + bx + c = 0." where X is an undefined parameter and a, b, and c are mathematical coefficients or constants.

y=(6x-5)(x+4)

y = 6x² - 5x + 24x - 20

y = 6x² + 19x -20

The quadratic equation y = 6x² + 19x -20 has the same standard form as Ax+By +C = 0.

To know more about quadratic equation visit:

brainly.com/question/30098550

#SPJ1

Answer:9√2

Step-by-step explanation:

you divide 1134 and 7 in square root and it equals sqrt(162)

Then you simplify by taking out numbers out of the square root.

The factor tree shows how 78 can be factored into its prime factors.

78 = [tex]2 \times 3 \times 13.[/tex]

The first step in creating a factor tree for the number 78 is to identify two factors of 78 that sum up to 78. One such pair of factors is 6 and 13. After we reach prime numbers, we can carry on breaking down each component.

Prime factorization is the process of converting a composite number into the product of its prime factors. A prime factor is a prime number that divides the original integer by itself with no remainder.

The prime factorization of the number 78 is

78 = 6 x 13

78 = 2 x 3 x 13.

To learn more about Prime factorization :

https://brainly.com/question/29763746

#SPJ4

Answer:

918

Step-by-step explanation:

Answer:

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

y=5/4sin x + 1

:

Answer:

[tex]5+11\sqrt{3}[/tex]

---------------

Perimeter is the sum of side lengths:

No, not all isosceles triangles are always similar. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion. While all equilateral triangles are also isosceles triangles, not all isosceles triangles have congruent angles and proportional sides.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:

For example, consider an isosceles triangle with base angles of 70 degrees and a third angle of 40 degrees, and another isosceles triangle with base angles of 80 degrees and a third angle of 20 degrees. These triangles have different angles and are therefore not similar, even though they are both isosceles triangles.

For more question on Triangles

https://brainly.com/question/17264112

#SPJ4

The retail price of the car at the dealership is $9,803.90. This means that the dealership is adding a markup of $1,453.90, or 17.4% of the cost, to sell the car to customers.

To find the retail price of the car at the dealership, we need to add 17.4% to the dealership's cost of $8,350. Here are the steps to do this calculation:

Multiply the cost of the car by the percentage markup as a decimal. To convert a percentage to a decimal, divide it by 100. So 17.4% as a decimal is 0.174.

Markup = $8,350 x 0.174 = $1,453.90

Add the markup to the cost of the car to get the retail price.

Retail Price = $8,350 + $1,453.90 = $9,803.90

It's important to note that the final selling price of the car may be negotiable, and that other fees and taxes may also be added to the retail price.

To learn more about retail price click on,

https://brainly.com/question/11512294

#SPJ4

To convert meter into miles we simply have to divide meter by 1609.34 so we have 1500 m as 0.9321 miles.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI base unit of length is the metre (or metre; US spelling), which is denoted by the letter m.

first described in 1793 as a ten millionth of the distance between the equator and the North Pole, but was later redefined in 1799 to refer to a prototype metre bar (this bar was changed again in 1889).

The imperial unit system uses the symbol mi to designate the mile as a unit of length.

Although it was initially an English unit, it was adopted by numerous nations, each of which had a somewhat different definition. However, the English mile is 63,360 inches, 5280 feet, or 1760 yards.

Miles = meter x 0.000621

= 1500 x 0.000621

= 0.9321 miles

Learn more about Meters to Miles:

brainly.com/question/11253316

#SPJ4

Answer:

I would believe inside of a race track is smaller than the outside. They are staggered so the runners all run the same distance.

Step-by-step explanation:

Based on the conversion factor, 35km is equivalent to approximately 21.75 miles.

Kilometers and miles are units of distance measurement used in different parts of the world. While kilometers are the standard unit of distance in most countries, miles are widely used in the United States, the United Kingdom, and a few other countries.

A kilometer is approximately 0.621371 miles, which means that 1 mile is roughly 1.609344 kilometers.

To convert 35km to miles, we need to use this conversion factor. We can start by setting up a proportion:

35 km = x miles

1 km = 0.621371 miles

Multiplying both sides by the conversion factor, we get:

35 km x 0.621371 miles/1 km = x miles

Simplifying this expression, we get:

21.748485 miles = x miles

In conclusion, measurements are essential in our daily lives, and knowing how to convert one measurement to another can be beneficial. In this article, we explored what 35km in miles means and how we can convert kilometers to miles. Remember that 1km is approximately 0.621371 miles, and we can use this conversion factor to convert any distance measurement from kilometers to miles or vice versa.

To know more about conversion factor here.

https://brainly.com/question/30166433

#SPJ4

Conditional probability can be calculated by using Bayes' theorem, P(A|B) = P(B|A) × P(A) / P(B)

To find the conditional probability, we need to know the probability of two events: the probability of the event we're interested in, and the probability of the condition. Then, we can use Bayes' theorem to calculate the conditional probability.

Bayes' theorem states that the probability of an event A given that event B has occurred is equal to the probability of B given A, multiplied by the probability of A, divided by the probability of B:

P(A|B) = P(B|A) × P(A) / P(B)

The steps to find the conditional probability:

1) Identify the events A and B.

2) Determine the probabilities of A and B.

3) Determine the conditional probability P(B|A)

4) Substitute the values into Bayes' theorem to find P(A|B)

5) Interpret the result.

Learn more about conditional probability here

brainly.com/question/30144287

#SPJ4

The absence of unexpected values or discontinuities is referred to as a function's continuous nature.

A continuous function is one in which a shift in the argument causes a continuous change in the value of the function, which is a change without a noticeable jump. This shows that there are no abrupt changes in value or discontinuities. More exactly, a function is continuous if it is possible to guarantee that, even with arbitrarily small changes to its parameter, its value won't change dramatically. Any function that is discontinuous is referred to as such.

A function is referred to as continuous if it is constant for all values of x inside its domain. The ability to simulate and evaluate physical occurrences and mathematical relationships involving smoothly varying numbers makes continuous functions crucial in many branches of mathematics and science.

Read more about continuous function on:

https://brainly.com/question/24637240

#SPJ4

The expression that is equivalent to 734 + 356 - 134 using addition instead of subtraction is:

734 + 356 + (-134)

Answer:

706+350 = 956

The equivalent expression is 0.7 - 1.8h.

Option D is the correct answer.

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,

2.1 + (-3.7h) + 1.9h - 1.4

Combine the like terms.

2.1 - 1.4 - 3.7h + 1.9h

0.7 - 1.8h

Thus,

0.7 - 1.8h is the equivalent expression.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

There is each person holding the sign for 3/4 hours.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all.

If the car wash lasted 3 hours in all and there are 4 members in the robotics team, each person held the sign for 3 hours / 4 = 3/4 hours.

Hence, there are each person held the sign for 3/4 hours.

Learn more about the rate at :

brainly.com/question/12786410

#SPJ1

The value x = 3 will result in the greatest relative frequency given discrete random variable X.

What is relative frequency?

A frequency is the number of times an event takes place. It's experimental, not theoretical, to study relative frequency. As it is an experimental one, it is likely that when we repeat the trials, we will get different relative frequencies.

The relative frequency of a discrete random variable increases with decreasing variable value.

This implies that,

A variable with x = 0 would occur more frequently than one with x = n, where n > 0.

So, the greatest relative frequency given discrete random variable X, when X ∼ B (4, 1/10) is  x = 3.

Hence, the value x = 3 will result in the greatest relative frequency given discrete random variable X.

Learn more about relative frequency from the given link

brainly.com/question/3857836

#SPJ1

Using the derivative of the function, we cannot approximate the time when the concentration is highest since it does not exist.

To find the time when the concentration is highest, we need to find the maximum of the concentration function. We can do this by finding the derivative of the function and setting it to zero, and then solving for t.

First, let's find the derivative of c(t):

c'(t) = [d/dt](120t / (3t^2 + 90))

c'(t) = (120(3t^2 + 90) - 120t(6t)) / (3t^2 + 90)^2

c'(t) = (360t^2 + 10800 - 720t^2) / (3t^2 + 90)^2

c'(t) = 10800 / (3t^2 + 90)^2

Now, we set c'(t) to zero and solve for t:

10800 / (3t^2 + 90)^2 = 0

10800 = 0 (since the denominator cannot be zero)

There is no solution to this equation, which means that c'(t) never equals zero, and therefore there is no maximum or minimum value for the concentration.

However, we can use the second derivative test to confirm this result. Taking the derivative of c'(t), we get:

c''(t) = d/dt

c''(t) = [d/dt](10800 / (3t^2 + 90)^2)

c''(t) = (-2 * 10800 * 3 * 2t) / (3t^2 + 90)^3

c''(t) = -129600 / (3t^2 + 90)^3

At any value of t, the denominator is positive, so the sign of the second derivative is determined by the numerator. Since the numerator is negative for all values of t, the second derivative is negative and therefore the function is concave down for all values of t. This means that there is no maximum value for the concentration, only a minimum value of 0.

Therefore, we cannot approximate the time when the concentration is highest since it does not exist.

Learn more on derivative of a function here;

https://brainly.com/question/23819325
#SPJ1

The variance for the sum of the squared deviation scores is SS = 20 for a sample of n = 5 scores is 5.

The formula for the variance of a sample is:

[tex]s^2[/tex] = SS / (n - 1)

where SS is the sum of squared deviation scores, n is the sample size, and [tex]s^2[/tex] is the variance.

In this case, SS = 20 and n = 5, so we can substitute these values into the formula:

[tex]s^2[/tex] = 20 / (5 - 1)

[tex]s^2[/tex] = 5

Therefore, the variance for this sample is 5.

Learn more about variance:

https://brainly.com/question/29505178

#SPJ4

Answer:

Step-by-step explanation:

25,584km

Answer:

Step-by-step explanation:

140 cm to inches is 55.1181 or roughly 55 inches.

The two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).

The circumference of a circle is the distance around its outer edge, also known as its perimeter. It is a key measurement in geometry, and is defined as the product of the circle's diameter and pi (π), a mathematical constant approximately equal to 3.14.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, r is the radius of the circle, and π is the mathematical constant pi.

C = πd

The circumference of a circle is proportional to its radius or diameter, which means that if you double the radius or diameter of a circle, its circumference will also double. This relationship is fundamental to many mathematical and scientific applications, such as calculating the area or volume of a circle or sphere.

The circumference of a circle can be measured using a variety of tools, including rulers, compasses, and string. In practice, it is often measured indirectly by measuring the diameter or radius of the circle and using the formula above to calculate its circumference.

In summary, the circumference of a circle is the distance around its outer edge or perimeter, and is calculated using the formula C = 2πr or C = πd. It is a key measurement in geometry and has many practical applications in mathematics, science, and engineering.

To find two more points on the circumference of the circle, we can use the fact that the distance between the center of the circle and any point on its circumference is equal to the radius of the circle.

The radius of the circle can be found using the distance formula, which gives:

radius = sqrt((9-0)^2 + (-12-0)^2) = sqrt(225) = 15

So the circle has a radius of 15.

Now, to find two more points on the circumference, we can use the fact that any point on the circle can be represented as (r cos θ, r sin θ), where r is the radius of the circle and θ is the angle that the line connecting the point and the origin makes with the positive x-axis.

Since we already know one point on the circle, (9,-12), we can find the angle θ that this point makes with the positive x-axis by using the inverse tangent function:

θ = arctan(-12/9) = -53.13 degrees (or -0.93 radians)

Now we can find two more points on the circle by adding or subtracting multiples of 360 degrees (or 2π radians) to the angle θ and using the formula (r cos θ, r sin θ). For example:

Point (15 cos (-53.13), 15 sin (-53.13)) ≈ (-9.2, -12.5)

Point (15 cos (306.87), 15 sin (306.87)) ≈ (11.8, -7.1)

Therefore, the two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).

To know more about function visit:

https://brainly.com/question/29120892

#SPJ1

The conversion of 23/32 cm in inches is 0.283464844 inches.

Centimeter (cm) and inch are both units of measurement used to express length or distance.

Centimeter is a metric unit of length used in the International System of Units (SI) and is equal to one hundredth of a meter.

To convert 23/32 centimeters (cm) to inches, we can use the conversion factor of 1 cm = 0.393701 inches.

First, we can convert 23/32 cm to cm as a decimal by dividing the numerator (23) by the denominator (32):

23/32 cm = 0.71875 cm

Then, we can use the conversion factor to convert 0.71875 cm to inches:

0.71875 cm × 0.393701 inches/cm = 0.28346484375 inches (rounded to nine decimal places)

Therefore, 23/32 cm is approximately equal to 0.283464844 inches.

To learn more about inches here:

https://brainly.com/question/16311877

#SPJ4

Correct Question:

What is the conversion of 23/32 cm in inches ?

The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.

Centimeters and feet are the units that are used for measuring the length of the any given parameter.

Conversion of the unit centimeter into feet is written as :

Value of  one centimeter =  0.0328084 feet.

To convert the given value 147 centimeters substitute in the given relation we have,

⇒ ( 147 × 1 ) centimeters = ( 147 ×  0.0328084 ) feet

⇒ 147 centimeters = ( 4.822835 ) feet

⇒  147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )

Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to  ( 4.8228 ) feet ( Round upto four decimals ) .

learn more about centimeters here

brainly.com/question/19098836

#SPJ4

A ceramic paperweight is shaped like a square pyramid. the height of the paperweight is 1 inch.

What is Pythagorean Theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse.

To find the height of the paperweight, we can use the Pythagorean Theorem, which relates the lengths of the sides of a right triangle.

In this case, the height of the paperweight, which is the unknown side, forms a right triangle with one of the slant heights and half the length of the square base, as shown in the diagram below:

     /\  

    /   \

   /      \

  /         \

 /_ _ _ _\

     4 in

To apply the Pythagorean Theorem, we can write:

height² + (1/2 * 4 in)² = 3 in²

Simplifying, we get:

height² + 8 in² = 9 in²

Subtracting 8 in² from both sides, we get:

height² = 1 in²

Taking the square root of both sides, we get:

height = 1 in

Therefore, the height of the paperweight is 1 inch.

To learn more about the Pythagorean Theorem visit:

https://brainly.com/question/21332040

#SPJ1

Answer:5 and a tiny 4 in the corner of that 5

Step-by-step explanation:

there are four 5s so u do 5 with little 4

(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

To know more about Simple interest visit:

https://brainly.com/question/20690803

#SPJ1