Geometry checkpoint question

a) Using the LCM of the sum of ratios of the number of games played by Team A and Team B, the smallest possible number of games that each team could have played is 30.

b) The smallest possible number of points that Team A could have had at the end of the season is 27.

The LCM refers to the lowest common multiple.

The lowest common multiple is the least or smallest number that two numbers can divide evenly.

Team A:

Win = \(\frac{1}{10}\)

Draw =   \(\frac{3}{5}\)

Loss =  \(\frac{3}{10}\) (1 - \(\frac{1}{10}\) - \(\frac{3}{5}\))

The ratio of Win, Draw, and Loss = 1:6:3

The sum of ratios = 10

Points

Team B:

The ratio of Win, Draw, and Loss = 1:4:1

The sum of ratios = 6

a) Least Possible Number of Games:

LCM of 10 and 6 = 30

b) Least Possible Number of Points for Team A:

The ratio of Win, Draw, and Loss = 1:6:3

Points for a win = 3

Points for a draw = 1

Points for a loss = 0

Total points = (\(\frac{1}{10}\) x 30 x 3 + \(\frac{6}{10}\) x 30 x 1 + \(\frac{3}{10}\) x 30 x 0)

= 27 (9 + 18 + 0)

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Two football teams were playing in a league last season. Team A won \(\frac{1}{10}\) of their games, drew \(\frac{3}{5}\) of their games, and lost the rest of their games.

Answer:

AB = 6 cm

Step-by-step explanation:

\(In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm\)

Answer:

19

Step-by-step explanation:

I hope this helps!

The correct option is B. Out of every 5 trials, the desired outcome will occur approximately 2 times.

For the stated question -

The first claim asserts that it will occur exactly twice, yet probability never assures success.

The second and fourth statements refer to "out of 7," which is false because "out of 7" is equivalent to "out of 2 to 5"

Thus, conclusion is out of every 5 trials, the desired outcome will occur approximately 2 times.

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The complete question is-

The theoretical probability of an event occurring is Two-fifths. Which best describes the experimental probability associated with this event?

A. Out of every 5 trials, the desired outcome will occur exactly 2 times.

B. Out of every 5 trials, the desired outcome will occur approximately 2 times.

C. Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes.

D. Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.

Answer:

40.50

Step-by-step explanation:

1. 90 ÷ 20 = 4.50

2. 4.50 × 9 = 40.50

Answer:

The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is 8 - (6r + 2)

→ Multiply the bracket by (-)

∵ (-) × (+) = (-)

∴ 8 - (6r + 2) = 8 - 6r - 2

→ Add the like terms

∵ 8 - (6r + 2) = (8 - 2) - 6r

∴ 8 - (6r + 2) = 6 - 6r

→ Switch the terms

∴ 8 - (6r + 2) = -6r + 6

∴ The expression equivalent to 8 - (6r + 2) is -6r + 6

Answer:

5, 1 , -5, -9

Step-by-step explanation:

This seem's difficult but in reality its easy... just alot of work.

(Domain means x and range means Y)

You have all the x points (-3,-1,2,4)  but you need the Y's.

You have to fill in the points for x in the equation.

Example:

F(x)= - 2x- 1 will now be F(x)=-2(-3)-1

- you'll do that for each x point.

Next you solve.

F(x)= -2(-3)-1

- first we mutiply -2 times -3.

- that equals 6

- now we have 6-1

- solve that and you get 5

Thats all it is. Do that for each point and you'll have your Ranges.

I hope this helps for future questions. Good Luck!!!

The defining feature of an experiment are manipulation, control , random assignment, and random selection.

Experiment:

Basically, any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space or experiment.

Given,

Here we have to identify the defining feature of the experiment.

While we looking into the given question, the true experiments have four elements: manipulation, control , random assignment, and random selection.

And the most important of these elements are manipulation and control. Where Manipulation means that something is purposefully changed by the researcher in the environment.

Therefore, the key defining feature of an experiment is that it there is active manipulation of independent variables and monitoring of dependent variables.

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Answer:

option 1

Step-by-step explanation:

Using the recursive formula and a₁ = 6 , then

a₂ = 3 + 2a₁²

    = 3 + 2 × 6² = 3 + 2 × 36 = 3 + 72 = 75

The property that justifies the work between Step 4 and Step 5, is the identity property of multiplication, which is the option;

The identity property of multiplication states that when one multiplies any number the product is the number, therefore, we get;

a × 1 = a

The identity property of multiplication indicates that we get that in Step 4 and Step 5, we get;

1 · r = 21·i

1 · r = r, therefore;

r = 21·i

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The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

The tax percentage is 8.25 percent

Step-by-step explanation: After multiplying multiple tax percentages I found that 8.25 was the right tax percentage.

Hope this helps.

The required exterior angle is 60°.

The exterior angle that results from the creation of a triangle side is equal to the product of the two opposite internal angles.

The given angles are (z + 10)°, 4z° and  (z + 50)°.

Since, (z+50)° is the exterior angle of the angle (z + 10)° and 4z°.

Therefore, by exterior angle property,

(z + 10) + 4z = z + 50

5z + 10 = z + 50

4z = 40

z = 10

The measurement of exterior angle = z + 50 = 10 + 50 = 60

The exterior angle of the given figure is 60°

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ans :1 mmHg = 133.322 Pa,

To convert mmHg to Pa, you will need to use a conversion factor. The conversion factor between mmHg and Pa is 1 mmHg = 133.322 Pa. This means that for every 1 millimeter of mercury, there are 133.322 pascals.

To convert a specific measurement, you will need to multiply the measurement in mmHg by the conversion factor. For example, if you have a pressure measurement of 50 mmHg, you would multiply 50 by 133.322 to get 6,666.6 Pa.

It's important to remember that the conversion factor is a ratio and it's the same for any measurement. You can use it to convert from any value of mmHg to Pa or vice versa.

Conversion can be used in many fields such as science, engineering, and medicine, it's a fundamental skill that can help you understand measurements and compare them across different units.

In summary, to convert a pressure measurement from mmHg to Pa, you will need to  and multiply the measurement in mmHg by the conversion factor to get the measurement in Pa.

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Answer:

im dumb

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Every thing u will multiply with 0 the answer it will be 0

Yes,  5 , 12 and 13 forms a right triangle.

Now, According to the question:

Let's know:

What is the Pythagorean triple rule?

Pythagorean triples are  where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle. The most known and smallest triplets are (3,4,5).

We have 4² = 16 and 2² + 3² = 4 + 9 = 13,

By, The Pythagoras triple rule

\(5^2 + 12^2 = 13^2\)

25 + 144 = 169

169 = 169

Hence, 5 , 12 and 13 forms a right triangle.

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The binomial distribution assumes that each sample is independent and the probability of success remains constant throughout the sampling process.

To solve these probability questions, we can use the binomial distribution formula. Let's define the following variables:

p = Probability of preferring a permanent, full-time job = 0.67

n = Sample size = 100

a. To find the probability that fewer than 71% prefer a permanent, full-time job, we need to calculate the cumulative probability from 0% to 70% (0.71):

P(X < 0.71 * 100) = P(X < 71) = Σ (nCr) * p^r * (1-p)^(n-r) for r = 0 to 70

b. To find the probability that between 61% and 71% prefer a permanent, full-time job, we need to calculate the cumulative probability from 60% (0.6) to 70% (0.71):

P(0.6 * 100 ≤ X ≤ 0.71 * 100) = P(60 ≤ X ≤ 71) = Σ (nCr) * p^r * (1-p)^(n-r) for r = 60 to 71

c. To find the probability that more than 69% prefer a permanent, full-time job, we need to calculate the cumulative probability from 70% (0.7) to 100% (1):

P(X > 0.7 * 100) = P(X > 70) = Σ (nCr) * p^r * (1-p)^(n-r) for r = 71 to 100

d. If a sample of 400 is taken, the only change is the value of n. We will use n = 400 to recalculate the probabilities in (a), (b), and (c) using the same formulas.

Note: The binomial distribution assumes that each sample is independent and the probability of success remains constant throughout the sampling process.

Please note that calculating these probabilities requires performing multiple calculations and it would be more suitable to use statistical software or a calculator with binomial distribution capabilities to obtain the precise results.

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The derivative dX/dt is -4e^-2t.

To find dX/dt for the given function, we need to differentiate it with respect to t. Here's the function:

x = 4(1 - 1)e^3t + 2(2 + 1)e^-2t

Since the first term (1-1) is equal to 0, the function simplifies to:

x = 2(3)e^-2t

Now, differentiate the function with respect to t:

dX/dt = -4e^-2t

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The equation 3x - 2 = 3x + 5 has no solution.

To determine the number of solutions for the given equation, we need to examine the equation and check for any inconsistencies. By simplifying the equation, we have 3x - 2 = 3x + 5. Notice that the variable 'x' appears on both sides of the equation.

When we move the variable 'x' to one side, we get 3x - 3x = 5 + 2, which simplifies to 0 = 7. This implies that 0 is equal to 7, which is not true.

Since the equation leads to a contradiction, we can conclude that there are no values of 'x' that satisfy the equation. Therefore, the equation 3x - 2 = 3x + 5 has no solution.

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Answer:

i think 0,1

Step-by-step explanation:

bc iit goes like that lol

The given statement "The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line" is True because simple linear regression is a statistical method used to identify the linear relationship between one independent and one dependent variable, by minimizing the sum of the squared deviations between each value of the dependent variable and the line.

Simple linear regression is a method for estimating the relationship between a dependent variable and an independent variable. The dependent variable is defined as the variable being predicted or estimated. The independent variable is the variable that is predicted or estimated from the dependent variable.

The simple linear regression equation y = a + bx represents a straight line that fits the data, with a being the y-intercept and b being the slope of the line. The goal of simple linear regression is to find the values of a and b that minimize the sum of the squared deviations between each value of y and the line.

The least-squares regression line is the line that best fits the data by minimizing the sum of the squared deviations between each value of y and the line. This is also known as the line of best fit, as it represents the best possible fit to the data.

When creating a simple linear regression equation, the goal is to find the values of a and b that will result in the least-squares regression line. This line represents the line that best fits the data and minimizes the sum of the squared deviations between each value of y and the line.

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Answer:

Casey has the greater rate of change

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x+10 - 4x+16 = 4x-6

w= 2x-3

inFinite many solutions

The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.

According to the statement

we have given that the df total = 29 and df within = 27. And we have to find the value of the df between.

So, For this purpose, we know that the

Analysis of variance (ANOVA) is an analysis tool used in statistics that splits an observed aggregate variability found inside a data set into two parts.

So, Df between values are the values between the value of dftotal and dfwithin.

Here df total = 29 and df within = 27

So, df between = df total - df within

Substitute the values in it then

df between = df total - df within

df between = 29 - 27

df between = 2.

So, The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.

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Answer: 5%

Step-by-step explanation:

First and foremost, we need to know that 60 minutes = 1 hour. Therefore,

7 hours = 60 × 7 = 420 minutes.

Number of minutes awake = 21 minutes

Number of minutes supposed to be asleep = 7 hours = 420 minutes

The percentage of the seven hours that Frank was awake during the night will be:

= 21/420 × 100

= 1/20 × 100.

= 5%

Answer:

Step-by-step explanation:

It is the second one

Answer:

c = 37 mi

Step-by-step explanation:

   To find 'c' use Pythagorean theorem.

 \(\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}\)

                     c² = 35² + 12²

                         =1225 + 144

                        = 1369

                    \(\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}\)