High school students from track teams in the state participated in a training program to improve running times. Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds. After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds. Let X represent the running time of a randomly selected student before training, and let Y represent the running time of the same student after training. Which of the following is true about the distribution of X-Y?

a. The variables X and Y are independent, therefore, the meanis 34 seconds and the standard deviation is 10 seconds.
b. The v ales X and Y are independent therefore, the meanis 34 seconds and the standard deviation is 50 seconds
c. The variables X and Y are not independent, therefore, the standard deviation is 50 seconds and the mean cannot be determined with the information given.
d. The variables and are not independent, therefore, the meanis 3 seconds and the standard deviation cannot be determined with the information given
e. The variables X and Y We not independent, therefore, neither the mean nor the standard deviation can be determined with the informantion given.

Answer:

2. The sum of the measures of their interior angles is 360º.

3. They are all polygons with four sides.

5. A square is a rectangle and a parallelogram, but not a trapezoid.

Step-by-step explanation:

The statements b,c, and e about quadrilaterals are true

A quadrilateral is a closed figure with four sides. The total of the internal angle measurements is 360°. They are all four-sided polygons. A square is not a trapezoid, but it is a rectangle and a parallelogram.

The statements about quadrilaterals are true;

b. The sum of the measures of their interior angles is 360º.

c. They are all polygons with four sides.

d. A square is a rectangle and a parallelogram, but not a trapezoid.

Hence, the statements b,c, and e about quadrilaterals are true

To learn more about quadrilaterals refer to;

https://brainly.com/question/13805601

#SPJ2

Answer:

\(\displaystyle \frac{7}{37}\)

Step-by-step explanation:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}\)

I am joyous to assist you at any time.

The company spends making tablets each year, you can multiply the number of tablets by the cost per tablet so the company spends about $500 million making tablets each year.

Its origins lie in the Latin word moneta, which was given to the Roman goddess Juno, at whose temple or close by, or both, the Romans first started minting coins approximately 300 BCE.

We may multiply the quantity of tablets produced by the cost of producing each tablet to see how much money the company spends annually making tablets:

Total cost = Production of tablets x Price per tablet

Number of tablets produced =\(2.5 × 10^7\)

Cost per tablet = $20

Therefore, the total cost = \(2.5 × 10^7 × $20 = $5 × 10^8\)

As a result, the corporation spends over $500 million annually producing tablets.

To know more production visit:

https://brainly.com/question/30333196

#SPJ1

Answer:

Step-by-step explanation:

The question is about scale factors. The scale factor is the ratio of corresponding sides.

We have to assume the figures are similar, and that corresponding sides are marked. The bottom sides of the figures have the ratio ...

  red : blue = 6 : 8

This ratio can be reduced to lowest terms by factoring out 2:

  scale factor = red : blue = 3 : 4

This scale factor applies to all of the linear measures, one of which is perimeter. The ratio of perimeters is 3 : 4.

Area is measured in square units. The scale factor for area is the square of the scale factor for linear measures.

  area scale factor = red : blue = 3² : 4² = 9 : 16

The ratio of areas is 9 : 16.

Answer:

x = 10.47

Step-by-step explanation:

circumference = 2 * 10 * π = 20π

centre angle of a circle (in radiant) = 2π

x : 20π = π/3 : 2π

x = (20π * π/3)/ 2π

x = 10 * π/3

x = 10π/3

x = 10.466667

x = 10.47

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

To know more about rational number, visit:

https://brainly.com/question/22221295

#SPJ1

The equation that demonstrates the distributive property is 36 + 8 = 4(9 + 2), the correct option is C.

The distributive property states that when a number or variable is being multiplied by a sum or difference inside parentheses, the number or variable can be distributed or multiplied to each term inside the parentheses.

The equation that demonstrates the distributive property is C: 36 + 8 = 4(9 + 2). We can verify this by using the distributive property as follows:

4(9 + 2) = 4(11) = 44

Therefore, the equation can be written as:

36 + 8 = 44

This equation is true, which confirms that the distributive property was correctly applied.

To learn more about distributive property follow the link:

https://brainly.com/question/5637942

#SPJ1

The complete question is:

Which equation demonstrates the distributive property?

Responses

A (9 + 2)4 = 4(9 + 2)

B 36 + 8 = 4

C 36 + 8 = 4(9 + 2)

D 36 x 8 = 8 x 36

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

Answer:

34 6/25

Step-by-step explanation:

A mixed number is a whole number in front of a fraction. Keep 34 as the whole number. .24 is really 24/100, but you can simplify it to 6/25.

The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

Learn more on Pythagorean triple here;

https://brainly.com/question/15190643

#SPJ1

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

Answer:

ABWJRIRISBDBDBHSHS

Step-by-step explanation:

Hatdog HWHWHWHSHSHSQIWIW

Answer:

2.75 mph

Step-by-step explanation:

S = speed

D = distance

T = time

The formula is: S = D/T

S = 5.5/2

(11:00am - 9:00am = 2 hours)

S = 2.75 mph

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

To estimate the distance traveled on one liter of petrol, you would need to know the fuel efficiency of the car, which is usually measured in kilometers per liter (km/L) or liters per 100 kilometers (L/100 km).

Assuming that you have the fuel efficiency of the car, you can use the following formula to estimate the distance traveled on one liter of petrol:

distance per liter = fuel efficiency

For example, if the fuel efficiency of the car is 15 km/L, then the distance traveled on one liter of petrol would be:

distance per liter = 15 km/L = 15 kilometers

Therefore, the estimated distance traveled on one liter of petrol by the car with an engine size of 2.5 liters would depend on its fuel efficiency, which you would need to know in order to make an accurate estimate.

Answer:

28 percent

Step-by-step explanation:

Answer: 28.00%

Step-by-step explanation: The first step is to divide 7 by 25 to get the answer in decimal form: 7 / 25 = 0.2800 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.2800 * 100 = 28.00%

Answer:

Cube - 600 Rectangular Prism - 350

Step-by-step explanation:

Cube - A=6a^2

Rectangular Prism - A=2(wl+hl+hw)

Answer:

1. 6x(10x10)=600cm

2. 2x(15x5+15x5+5x5)=350cm

Answer:

4d - 0.22

Step-by-step explanation:

Answer:

b=2sqrt14

A=33.7°(rounded to nearest tenth)

B=56.3°

Step-by-step explanation:

Pythagorean theorem= sqrt(c^2-a^2)=sqrt(9^2-5^2)=2sqrt14

angleA= sin^-1(5/9)=33.7°

angleB=90°-33.7°= 56.7°

Hopefully that makes sense

Answer:

\(5800\)

Step-by-step explanation:

Hope it is helpful...

Answer:

5800

Step-by-step explanation:

5763

7 is in the hundreds place

We look at the tens place to determine how to round

If the tens place is 5 or above we round up, if it is 4 or less- leave it alone

Since 6 is 5 or above, we round the 7 up

5763 rounds to 5800

The response we have is as follows to the query that was asked No commitment: 12 months x $60 = $720; One-year commitment: 12 months  unitary method x $50 = $600

The unit method is a strategy for solving issues that entails first figuring out the value of one unit, and then multiplying the result to figure out the needed value. Simply stated, the unit method is applied to determine a single unit measure from a multiple that is supplied. For example, 40 pens might run you 400 rupees, which is equal to the expense of one pen. This procedure might follow a conventional procedure. a distinct nation. anything with a distinct character. Its adjoint as well as reciprocal are identical in terms of mathematics, algebra, linear algebra, analytical math, or mathematics of arrays or operators.

To design a payment system like the "Regular" pricing that is a better deal than Superfit for people who attend the gym 20 times per month for a year, we need to first analyze the current pricing plans of both gyms.

Assuming the current pricing plans of the two gyms are as follows:

Regular pricing: $50 per month with no annual commitment, or $40 per month with a one-year commitment.

Superfit pricing: $60 per month with no annual commitment, or $50 per month with a one-year commitment.

For someone who attends the gym 20 times per month for a year, the total cost for Regular pricing would be:

No commitment: 12 months x $50 = $600

One-year commitment: 12 months x $40 = $480

For Superfit pricing, the total cost would be:

No commitment: 12 months x $60 = $720

One-year commitment: 12 months x $50 = $600

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Using the Factor Theorem, the equation for the graphed polynomial is:

y(x) = 0.125(x³ + x² - 14x - 24).

The Factor Theorem states that a polynomial function with roots(also called zeros) \(x_1, x_2, \codts, x_n\) is given by the following rule.

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative).

On the graph of a function, the roots are the values of x for which it crosses the x-axis, hence they are given as follows:

\(x_1 = -3, x_2 = -2, x_3 = 4\)

Hence:

y(x) = a(x + 3)(x + 2)(x - 4)

y(x) = a(x² + 5x + 6)(x - 4)

y(x) = a(x³ + x² - 14x - 24)

When x = 0, y = -3, hence the leading coefficient a is found as follows:

-24a = -3

a = 1/8

a = 0.125.

Then the equation is:

y(x) = 0.125(x³ + x² - 14x - 24).

More can be learned about the Factor Theorem at https://brainly.com/question/24380382

#SPJ1

Answer:

  490 J

Step-by-step explanation:

The formula is ...

  PE = mgh

where g is the acceleration due to gravity: 9.8 m/s². Filling in your numbers, you find the energy to be ...

  PE = (5 kg)(9.8 m/s²)(10 m) = 490 kg·m²/s² = 490 J

Answer:

She can make 2 2/5 necklace in one hour

Step-by-step explanation:

60/15=4 so she makes 3/5*4=12/5=2 2/5

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

For more such questions on length

https://brainly.com/question/2217700

#SPJ8

Answer:

2 hours and 37 minutes

Step-by-step explanation:

Answer:

The price before vat is 1,425

Step-by-step explanation:

I. When total price = price + vate*price

           So 1,539 = x + 0.08 + x   => when 0.08 is 8/100 or 8 percent

                 1,539 = 1.08x

                      x = 1,539/1.08

                      x = 1,425

II. Prove by replace x.value with 1,425

                 1,539 = 1,425 + 0.08(1,425)

                 1,539 = 1,425 + 114

                 1,539 = 1539 true

Hope that help :)

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10