What is the circumference formula?​

a. Using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped).

a. Using the Empirical Rule, we can determine the range within which 95% of NBA point guards' heights would fall. According to the Empirical Rule, for a normally distributed data set:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Since the average height of NBA point guards is 74.6 inches with a standard deviation of 3.71 inches, we can use this information to calculate the range:

Mean ± (2 * Standard Deviation)

74.6 ± (2 * 3.71)

The lower bound of the range would be:

74.6 - (2 * 3.71) = 74.6 - 7.42 = 67.18 inches

The upper bound of the range would be:

74.6 + (2 * 3.71) = 74.6 + 7.42 = 82.02 inches

Therefore, using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped). This means that the data is symmetrically distributed around the mean, with the majority of values clustering near the mean and fewer values appearing further away from the mean.

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Answer:

the awnser to the question is: 40°

The concentration of a contaminant that enters a lake is a function of time and initially rises rather quickly. However, it is due to the lake's inherent mixing and self-cleansing activity.

Concentration in chemistry is calculated by dividing a constituent's abundance by the total volume of a mixture. The terms "concentration" can refer to any type of chemical mixture, but are most frequently used to describe the solutes and solvents in solutions. There are four different types of concentrations that can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration. There are different types of molar (quantity) concentrations, including normal concentration and osmotic concentration.

Concentration is frequently expressed qualitatively in everyday, non-technical language using words like "dilute" for solutions with a low concentration and "concentrated" for solutions with a high concentration.

If y increases quickly with x, the slope of the graph will be greater (i.e. will be steeper). The slope of the graph will be lower if y increases slowly with x. (i.e. will be less steeper). Straight lines result from constant slope in graphs. 1. Less investment results in a significant boost in production at first. Consequently, graph

1) Begins with a steeper slope. The rate of expansion slows down at the end, therefore the graph

2) will be more gradual. So, D is the proper graph. 2. The slope of the graph increases while train speed stays constant. As a result, graph will be

3) Straight line So, C is the proper graph.  The focus rises quickly at first. Small time therefore yields large

4) an improvement in concentration Therefore, graph will be steeper in beginning. At end, the concentration becomes constant, so graph will be almost horizontal at end.

5)Thus correct graph is B. In beginning, the population increases slowly. Thus large time gives less increase in population. Therefore, graph will be less steep in beginning. At end, the population increases rapidly, so graph will be more and more steeper at end. Thus correct graph is A.

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Answer:

y>-2x-1 answer is b

-4x+y> 1 is c I believe

Step-by-step explanation:

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Answer:

Text Evidence

Step-by-step explanation:

It shows that you've done research and have facts to support your predictions.

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

The expected value of e^x is E[e^x] =  1.294.

The expected value of a function of a random variable can be found by taking the sum or integral of the product of the function and the probability density or mass function of the random variable over all possible values.

In this case, we can use the probability mass function of the Bernoulli random variable to find the expected value of the exponential function of x

E[e^x] = Σ e^x × P(x) over all possible values of x

Since x can only take on the values 0 or 1, we can write

E[e^x] = e^0× P(x=0) + e^1 × P(x=1)

We are given that p[x=1] = p = 0.587, so we can substitute this into the formula

E[e^x] = e^0 × P(x=0) + e^1 × P(x=1)

= e^0 × (1-p) + e^1 × p

= 1*(1-0.587) + e^1 × 0.587

= 0.413 + e^1 × 0.587

We can further simplify this expression by evaluating e^1 as follows

E[e^x] = 0.413 + e^1 × 0.587

= 0.413 + e × 0.587

= 1.294

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The given question is incomplete, the complete question is:

Consider a bernoulli random variable x which takes values 0 or 1. the parameter of this random variable is p =p[x=1] where p=0.587. find E[e^x], where we recall that e^x is the exponential function.

Answer:

\(r^4 * r^3\\r^7\)

The equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

What is the slope-intercept form?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Here, we have

The lines of the equations

Ax + By = C1

and Bx - Ay = C2 are perpendicular. Therefore, a line perpendicular to 5x - 2y = -6 must take the standard form  2x + 5y = C.

Substituting x = 5, y = -4, we get  

C = 2(5) + 5(-4) = 10 - 20 = -10.

Thus, 2x + 5y = -10 is the correct choice.

This can be rewritten in slope-intercept form:

2x + 5y = -10

2x + 5y - 2x = -10 - 2x

5y = -2x - 10

5y / 5 = (-2x - 10) /5

y = -(2/5) x - 2

Its point-slope form is

y - y1 = m(x - x1)

y + 4 = -(2/5)(x - 5)

Hence, the equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

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Answer:

(sorry I couldn't do activity 7 it's like midnight here & im tired heh hope you don't mind. ❣️)

1. 3 tsps

2. 128 ounces

3. 0.946

4. 8.82

5. 226.8

6. 3

7. 8

8. 6

9. 5

10. 2

ACTIVITY 6

1. 10

2. 170.6

3. 336.2

4. 193.333

5. 229.444

6. 449.6

7. 15 celsius

8. 210.2

9. 255.2

10. 100

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

5 bottles of hand sanitizer
2 thermometers
4 packets of masks

Step-by-step explanation:

We start by factoring each of the numbers to find the common factor which will give us the number of bags used to distribute.

1155  = 5 x 231

462 =  2 x 231

924 =  4 x 231

We see that 231 is the common factor for all 3 numbers. It is also the greatest common factor.

Therefore the greatest number of bags that can be packed = 231

Each bag will contain:
5 bottles of hand sanitizer
2 thermometers
4 packets of masks

Answer:

Step-by-step explanation:

number 2: the one that says opposite

Answer:

20

Step-by-step explanation:

\(\frac{10^{2} }{5^{1}}\)

\(\frac{100}{5}\)

\(\frac{20}{1}\)

\(20\)

The correct representations of the inequality [{–3(2x – 5)} < 5(2 – x)] will be [(x - 5) < 0].

As per the question statement, we are provided with an inequality of        [{–3(2x – 5)} < 5(2 – x)],

And we are required to determine the correct simplified representation of the above mentioned inequality.

To solve this question, we need to simplify the inequality by bringing the like terms to the same side of the indicator symbol, and perform on both the Right Hand Side (RHS) and Left hand Side (LHS) of the same like we do in an equation, that is,

[{–3(2x – 5)} < 5(2 – x)]

Or, [{(-3) * 2x} - {(-3) * 5}] < [(5 * 2) - (5 * x)]

Or, [{(- 6x) - (-15)} < (10 - 5x)]

Or, [{(-6x) + 15} < (10 - 5x)]

Or, [(15 - 6x) < (10 - 5x)]

Or, [(6x - 5x) < (15 - 10)]

Or, (x < 5)

Or, [(x - 5) < 0]

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It is important in the definition of logarithm that the base of the logarithm does not equal 1 because log base 1 is undefined and leads to mathematical inconsistencies.

The logarithm of a number is defined as the exponent to which a specific base must be raised to obtain that number. However, when the base of the logarithm is equal to 1, the definition becomes problematic.

If the base of the logarithm is 1, we have log₁(x) = y, where 1^y = x. Since any number raised to the power of 0 equals 1, we would have 1^0 = x, which implies that x equals 1 for all values of x. This creates a contradiction, as it would suggest that all numbers are equal to 1, which is not true.

To avoid this inconsistency, the definition of logarithms excludes the base 1. By excluding 1 as a possible base, logarithmic functions maintain their essential properties, such as the logarithmic identities and the relationship between exponentiation and logarithms.

Therefore, the restriction that the base of the logarithm cannot equal 1 is necessary to ensure mathematical consistency and clarity in the definition of logarithmic functions. It helps prevent mathematical contradictions and allows logarithms to be defined in a meaningful and consistent manner.

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Answer:

y = -1/2 = -0.500

Step-by-step explanation:

your welcome have a good day :)

stay safe

stay hydrated

wear a mask

┐(^▂ ^ ；)┌

Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation:

The type of sampling used in this scenario is A Systematic sampling.

Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.

This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.

Therefore, the type of sampling used in this scenario is A Systematic sampling.

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Complete question is below

To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:

A Systematic sampling

B Stratified sampling

C Cluster sampling

D Convenience sampling

Using proportions, it is found that the better deal, on a per ounce basis, is given by:

For each option, the costs per ounce are given by:

\(C_a = \frac{4.2}{30} = 0.14\)

\(C_b = \frac{3.6}{24} = 0.15\)

\(C_c = \frac{6.3}{42} = 0.15\)

\(C_d = \frac{6.3}{42} = 0.15\)

Due to the smaller cost, option A is the better deal.

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Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

The point estimate for the population mean is 80.875.

The ratio of the overall quantity of data to the total number of data sets is known as the mean. The average and mean are calculated using the same formula.

The ratio of the total number of data points to the total amount of data is also used to determine the average.

The eight midterms chosen at random are 71, 80, 65, 85, 90, 77, 92, and 87. The formula used to compute the mean is

Mean = (  71 +80 + 65 + 85 + 90 + 77 + 92 + 87 ) / 8

Mean = 647 / 8

Mean = 80.875

The population mean is 80.875.

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It will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

To determine the time it will take to save enough money, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r,

where FV is the future value, P is the monthly payment, r is the monthly interest rate, and n is the number of periods.

Given:

Desired future value (FV) = $5000,

Monthly payment (P) = $240,

Monthly interest rate (r) = 5% / 12 = 0.05 / 12 = 0.004167.

We need to solve for the number of periods (n) in the formula. Rearranging the formula, we have:

n = log(1 + (FV * r) / P) / log(1 + r),

where log denotes the logarithm with base 10.

Plugging in the given values, we get:

n = log(1 + ($5000 * 0.004167) / $240) / log(1 + 0.004167).

Using a calculator, we find that n is approximately 20.998, which rounds up to 21.

Therefore, it will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

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Answer:

x = -2

Explanation:

1/3 (x-10) = -4

(3) 1/3 (x-10) = (3) -4

x - 10 = -12

x = -12 + 10

x = -2

:))

Answer:

65

Step-by-step explanation:

Let's find

\( \sf \hookrightarrow \: 35 + 42 = 12 + x \\ \sf \hookrightarrow \: 77 = 12 + x \\ \sf \hookrightarrow \: x = 77 - 12 \\ \sf \hookrightarrow \: x = 65\)

Answer:

m=1/2

b=-4

Step-by-step explanation:

Answer:

m= 1/2

b= -4

Step-by-step explanation: can i have brainliest

Answer:

between 7.0 and 9.0 hours of sleep

Step-by-step explanation:

got it right

Answer: 20%

Step-by-step explanation: $1200 - $960 = $240

20% of 1200 is 240.