find the lengths of the sides of the triangle pqr. (a) p(3, 1, −4), q(7, 3, 0), r(1, 5, 0)

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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Answer:

a. 6

Step-by-step explanation:

"Mode" is the term for the most "popular" number of data. Let's say I have three buttons, two dimes, and one paperclip. The mode would be buttons because that's what I have the most of.

If you look at the given data:

# of 6s: Three

# of 4s: none

# of 3s: Two

# of 9s: One

Answer:

8

Step-by-step explanation:

It be wayyy to much to put 13 it would make the mean 9 8 is perfect

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Answer:

y = -(5/3)x -(23/3)

Step-by-step explanation:

Rewrite the given equation is standard slope-intercept format: y = mx + b

5x + 3y = 8

3y = -5x + 8

y = -(5/3)x + (8/3)

A parallel line will have the same slope:  -(5/3)

y = -(5/3)x + b

We need to find a b that will force the line through point (-1,-6).

y = -(5/3)x + b

-6 = -(5/3)*(-1) + b

-6 - (5/3) = b

b = -(23/3)

y = -(5/3)x -(23/3)

Answer:

A. 2/5

Step-by-step explanation:

to find the slope (m) use the slope formula

m= y2-y1 / x2-x1

*plug in your points*

m= 4-2 / 3- -2    note here the 3- -2 changes to 3+2

solve for m

m= 2/ 5  

slope= 2/5

Answer:

area increases by a factor of 4

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is length and w is width )

doubling the length and width , that is

l = 2l and w = 2w , then

A = 2l × 2w = 4lw

that is the area is increased by a factor of 4

The metric system is an international system of measurement that uses the base unit of the meter to measure length or distance. The meter is defined as the length of the path traveled by light in a vacuum during a specific fraction of a second.

It is an essential unit of the International System of Units (SI) and is used to measure distance, length, height, and width in most countries worldwide.

The meter is equivalent to approximately 39.37 inches, making it a longer unit of measurement than the inch, which is used in the imperial system of measurement. The metric system is based on a decimal system, which makes it easier to convert between units of length. For instance, one kilometer (km) is equal to 1,000 meters, and one centimeter (cm) is equal to 0.01 meters.

The metric system is widely used in science, industry, and daily life. It is the standard system of measurement used in most countries worldwide, except for the United States, which primarily uses the imperial system of measurement. However, it is essential to understand the metric system, as it is becoming increasingly popular in many fields and is a fundamental part of global communication.

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a) The probability that there will be an accident on Highway 48 today is 0.36%.

b) The probability that the weather today was wet given that there was an accident on Highway 48 is approximately 55.56%.

a) To find the probability that there will be an accident on Highway 48 today, we need to consider both the probability of an accident when it's dry and when it's wet, and the probability of each type of weather. We can use the formula: P(A) = P(A|B) × P(B) + P(A|B') × P(B'), where A represents an accident, B represents wet weather, and B' represents dry weather.
P(A) = P(Accident|Wet) × P(Wet) + P(Accident|Dry) * P(Dry)
P(A) = (0.01) × (0.2) + (0.002) × (0.8)
P(A) = 0.002 + 0.0016
P(A) = 0.0036
b) To find the probability that the weather was wet given that there was an accident on Highway 48, we can use Bayes' theorem: P(B|A) = (P(A|B) × P(B)) / P(A)
P(Wet|Accident) = (P(Accident|Wet) × P(Wet)) / P(Accident)
P(Wet|Accident) = (0.01 × 0.2) / 0.0036
P(Wet|Accident) = 0.002 / 0.0036
P(Wet|Accident) = 0.5556

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Answer:

hope it helps..........

The solution set of the inequality 8x + 2 > 34 is x > 4

The system of inequality is given as:

8x + 2 > 34

8x + 2 > 34

From the above system of inequality, we can see that the inequalities in the system are the same.

This means that:

8x + 2 > 34

Subtract 2 from both sides of the inequality

8x > 32

Divide both sides by 8

x > 4

Hence, the solution set of the inequality 8x + 2 > 34 is x > 4

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Using the given exponential function, the initial temperature is 175°F

In the problem given, the modeled equation is an exponential function and given that the temperature cools off, this is an example of an exponential decay function.

To determine the initial temperature of the coffee, we need to find the value of F(m) when m is equal to 0, as the initial time is 0 minutes.

Substituting m = 0 into the function \(F(m) = 175(0.98)^m^2\), we have:

\(F(0) = 175(0.98)^0^2\\F(0) = 175(0.98)^0\\F(0) = 175(1)\\F(0) = 175\)

Therefore, the initial temperature of the coffee is 175 degrees Fahrenheit.

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Answer:

its 32

Step-by-step explanation:

The value of the expression is 55/3.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

84 ÷ 42 x 6 + 18

Using the PEMDAS rule.

84 ÷ 252 + 18

84/252 + 18

1/3 + 18

(1 + 54)/3

= 55/3

Thus,

The value of the expression is 55/3.

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The complete question:

84 ÷ 42 x 6 + 18

Solve the expression.

To convert the FSM (Finite State Machine) to a controller using a state register and logic gates, follow these steps:
1. Identify the states of the FSM: Review the FSM you created for exercise 3.30 and list down all the states it contains.

2. Design the state register: Create a state register that can store the different states of the FSM. You can use flip-flops or any other suitable storage device.

3. Implement the logic gates: Use logic gates (such as AND, OR, and NOT gates) to implement the transitions between different states. Connect the outputs of the logic gates to the inputs of the state register.

4. Connect the state register to the FSM: Connect the outputs of the state register to the inputs of the FSM to control its behavior based on the current state.

5. Test and verify: Test the controller by simulating different inputs and checking if it transitions between the states correctly according to the desired behavior of the original FSM.

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Answer:  its 2

Step-by-step explanation:

14 can only = 1 x 14

                  & 2 x 7

Answer:

the answer should be 16, if you're looking for X that is

Answer:

2

Step-by-step explanation:

Pick any point

You go up 2 and 1 over

2/1 is the same as 2 just simplified!

The probability that a lightbulb will last between 2638 and 2949 hours is approximately 0.8084.

To solve this problem, you can use the normal distribution formula to calculate the probability that a lightbulb will last between 2638 and 2949 hours:

P(2638 < x < 2949) = P(z1 < (x - mean)/standard deviation < z2)

Where x is the number of hours that the lightbulb lasts, mean is the average number of hours that the lightbulb lasts (2872 hours in this case), and the standard deviation is the standard deviation of the number of hours that the lightbulb lasts (108 hours in this case), z1 is the standard normal deviate corresponding to the lower bound of the interval (2638 hours in this case), and z2 is the standard normal deviate corresponding to the upper bound of the interval (2949 hours in this case).

To calculate z1 and z2, you can use the following formulas:

z1 = (2638 - 2872)/108 = -1.22

z2 = (2949 - 2872)/108 = 0.85

To calculate the probability, you can use a normal distribution calculator or table to find the probability that a standard normal random variable is between -1.22 and 0.85.

Using a normal distribution calculator or table, you can find that the probability that a lightbulb will last between 2638 and 2949 hours is approximately 0.8084.

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Answer:

mean

Step-by-step explanation:

mean of six packages = (29+19+69+24+64+59)/6 = 44 ounces

Median of these six packages (19,24,29,59,64,69) = (29+59)/2 = 88/2= 44 ounces

Now, if we includes a package that weighs 219 ounces

The new mean = (29+19+69+24+64+59+219)/7 = 69

New median (19,24,29,59,64,69, 219) = 59

Hence, we say that the mean increases more than the median

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of each pizza and y the cost of each drink. Hence:

3x + 5y = 47.45  (1)

Also:

4x + 8y = 65.92  (2)

From both equations:

x = 12.5, y = 1.99

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

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Therefore, the Maclaurin series for the function f(x) = arcsin(x) * x is: \(f(x) = x^2 + (1/2) * x^4/3 + (1/2 * 3/4) * x^6/5 + (1/2 * 3/4 * 5/6) * x^8/7 + ...\)

To find the Maclaurin series for the function f(x) = arcsin(x), we can use the known Maclaurin series expansion of the arcsin function:

arcsin(x) \(= x + (1/2) * x^3/3 + (1/2 * 3/4) * x^5/5 + (1/2 * 3/4 * 5/6) * x^7/7 + ...\)

The Maclaurin series expansion is an infinite sum of terms where each term is a power of x multiplied by a coefficient. The coefficient for each term is determined by the pattern of alternating factorials and powers.

However, if we consider the additional factor of x in the function f(x) =arcsin(x) * x, we can simplify the series as follows:

f(x) \(= x * (x + (1/2) * x^3/3 + (1/2 * 3/4) * x^5/5 + (1/2 * 3/4 * 5/6) * x^7/7 + ...)\)

Expanding this expression, we get:

f(x) \(= x^2 + (1/2) * x^4/3 + (1/2 * 3/4) * x^6/5 + (1/2 * 3/4 * 5/6) * x^8/7 + ...\)

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Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

\(-\sqrt 5 -3\sqrt 5\\\\\\=(-1-3)\sqrt 5\\\\\\=-4\sqrt 5\)

Answer:

b

Step-by-step explanation:

The department's sales per square foot are $51.16 per square foot.

Division is the process of dividing a number by a given number.

Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.

The sales per square foot are:

(total sales)/ (total area)

= 15349/300

= 51.16

Hence, the department's sales per square foot are $51.16 per square foot.

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Answer:

y = 50

Step-by-step explanation:

Firstly, let's make an equation. We know that when y is 15, x is 3. Or, in other words, y is 5 times what x is. Therefore we can use the equation, y = 5x.

Now, just plug x into the equation.

y = 5(10)

y = 50

Answer:

600,000 times greater

Step-by-step explanation:

hope this helped and good luck :}

Answer: 1000 times greater

Step-by-step explanation: the 6 in 618,923 has a value of 600,000 where as in 27,657 it only has a value of 600

Look at where the six positioned, in the tens column, hundreds column or thousands column?

Option (b) beta A=0.95 beta B=1.14 is correct regarding the beta of Portfolio A and the beta of Portfolio B.

Given below is the expected return and standard deviation of Assets A and B:

Expected return of A = 15%

Expected return of B = 16%

Standard deviation of A = 21%

Standard deviation of B = 25%

The correlation coefficient between A and B = 0.65

The correlation coefficient between A and market portfolio = 0.75

The correlation coefficient between B and market portfolio = 0.85

The standard deviation of the market portfolio = 22%

We know that, Beta of A = (Correlation between A and market portfolio * Standard deviation of A) / Standard deviation of the market portfolio

Beta of B = (Correlation between B and market portfolio * Standard deviation of B) / Standard deviation of the market portfolio

On substituting the given values, we get: Beta of A = (0.75 * 21%) / 22% = 0.71

Beta of B = (0.85 * 25%) / 22% = 0.97

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SOLUTION

The given line passes through the points:

The slope of the line is calculated using:

Using the points the slope is:

The slope of the line is:

If you don’t need any further explanation, I’ll go ahead and end our session. Remember the answer is saved in your profile.

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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