Is the 3X 1 Problem solved?

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

To know more about Poisson distribution refer here:

https://brainly.com/question/30388228#

#SPJ11

a) The percentage of females in the workforce in the year 2013 and 2018 can be found using the given equation: y = 11.596 + 8.540 ln(x), where x is the number of years from 1960. We need to find the value of y when x is 53 (2013) and 58 (2018), as we know that 1970 was 10 years after 1960.

So, when x = 53 (in the year 2013), the percentage of females in the workforce can be found as: y = 11.596 + 8.540 ln(53)

= 11.596 + 8.540 × 3.970

= 11.596 + 33.8618

= 45.4578 %

Therefore, the model predicts that the percentage of females in the workforce was 45.4578% in 2013.

Similarly, when x = 58 (in the year 2018), the percentage of females in the workforce can be found as:

y = 11.596 + 8.540 ln(58)

= 11.596 + 8.540 × 4.060

= 11.596 + 34.7244

= 46.3204 %

Therefore, the model predicts that the percentage of females in the workforce was 46.3204% in 2018.

b) To determine if the percentage of female workers is increasing or decreasing, we need to look at the coefficient of ln(x) in the given equation. Here, the coefficient of ln(x) is positive (8.540). Hence, the percentage of female workers is increasing over the years.

Therefore, the percentage of female workers is increasing.

For further information on Percentage, refer below:

https://brainly.com/question/29306119

#SPJ11

Answer:Explanation:

Step-by-step explanation:Explanation:

We have that

6

x

2

+

19

x

+

15

=

6

x

2

+

10

x

+

9

x

+

15

=

2

x

⋅

(

3

x

+

5

)

+

3

⋅

(

3

x

+

5

)

=

(

2

x

+

3

)

⋅

(

3

x

+

5

)

Answer:

Step-by-step explanation:

6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²

use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a

6x² + 19 x +15 =0

x= (-19 ±√19²-4*6*15) / 2*6

x= (-19 ± √1)/ 12

x= (-19+ 1)/12 = -18/12 = -3/2

and

x= (-19-1)/12 = -20/12 = -5/3

6x² + 19 x +15 = 6*(x+(3/2)) (x+(5/3))

the length and with of the rectangle could be any combination of the factors of 6 and the (x+(3/2)) (x+(5/3))

if we consider 6 =2*3 we have length and width 2x+3 and 3x+5

because 2*[x+(3/2)]*3[ x+(5/3)]

if we consider 6 = 3*2 we have length and width 3x+(9/2) and 2x+(10/3)

because 3*[x+(3/2)]*2[ x+(5/3)]

if we consider 6= 6*1 we have length and width 6x+9 and x+(5/3)

because 6*[x+(3/2)]*1[ x+(5/3)]

if we consider 6= 1*6 we have length and width x+(3/2) and 6x+10

because 1*[x+(3/2)]*6[ x+(5/3)]

The probability of drawing a red marble in the bag of marbles is 2/9

From the question, we have the following parameters that can be used in our computations

Red = 4

Green = 7

Blue = 2

Purple = 5

This means that

Marbles = 4 + 7 + 2 + 5

Marbles = 18

Also, we have

Red = 4

Selecting the first marble we have

P(Red) = 4/18

Simplify

P(Red) = 2/9

Hence, the probability is 2/9

Read more about probability at

brainly.com/question/24756209

#SPJ1

The two planes that have created the parallel traits would be airplane 3 and airplane 5

To get the parallel lines, we would have to check the angles that are formed

for angle 3 angles on a line is 180

x + 110 = 180

x = 70 degrees

For angle 5

we can see that the position of x in 3 is the same position in 5

hence we can see that in plane 5, x = 70

hence these two would be parallel

Read more on parallel lines here:https://brainly.com/question/24607467

#SPJ1

The required tally table is

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

To create a tally table, follow these steps:

1. Write down the intervals or categories for the data.

2. Create a tally mark (a vertical line) for each observation that falls into that interval/category.

3. After every fifth tally mark, draw a diagonal line across the previous four tally marks to make counting easier.

4. Add up the total number of tally marks in each interval/category to determine the frequency.

Here we have

The data is 20, 27, 5, 6, 29, 7, 17, 11, 18, 5, 15, 17, 20, 27, 22, 13, 6, 28, 27, 23, 24, 17

To make the tally table follow the above steps

Hence, we will get the following tally and frequency table

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

Learn more about Tally table at

https://brainly.com/question/29065358

#SPJ1

Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.

What do you mean by standard deviation?

The standard deviation is a statistical indicator of how widely distributed a set of values are. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Here, it is given that

Standard deviation , σ = 1.3

Mean diamter, μ = 202

Number of shafts , n = 70

σ\(_{x}\) = σ/\(\sqrt{n}\) = 1.3/\(\sqrt{70}\) = 0.1554

Difference less than 0.1 = 202 - 0.1 = 201.9 , 202 + 0.1 = 202.1

P(\(\overline{x}\) < 0.1) = P(201.9 < x < 202.1)

P ( 201.9 - 202 /  0.1554 ) < \(( \bar x - \mu\bar x /\sigma\bar x)\) < ( 202.1 - 202 /  0.1554 )

P ( - 0.1 / 0.1554 < z < 0.1 /  0.1554 )

P (-0.64 < z < 0.64 )

P ( z < 0.64) - p ( z < -0.64 )

Using z table

= 0.7389 - 0.2611

= 0.4778

Probability =0.4778

Therefore, Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.

Learn more about the mean and standard deviation from the link.

https://brainly.com/question/26941429

#SPJ4

The economic theory method would be the fastest and save the most money for both credit cards. The Option C is correct.

We will calculate total interest and time to pay off each credit card using different methods.

For Credit 1:

The minimum payment method:

Total interest = $10,684 and time to pay off = 28 years and 4 months

Economic theory method:

Total interest = $3,257 and time to pay off = 3 years and 9 months

Snowball method:

Total interest = $6,297 and time to pay off = 5 years and 5 months

For Credit 2:

Minimum payment method:

Total interest = $1,808 and time to pay off = 8 years and 4 months

Economic theory method:

Total interest = $349 and time to pay off = 1 year and 7 months

Snowball method:

Total interest = $650 and time to pay off = 2 years and 1 month.

Read more about credit card

brainly.com/question/26857829

#SPJ1

The integral test to determine the following  series converges.

Part 1: Convergence condition for the series

n=2 (-1)-¹√√n (n-3)², converge, diverge absolutely.

We will apply the Cauchy Condensation

Test to determine the convergence condition of the given series.

n=2 (-1)-¹√√n (n-3)²

Let's rewrite the general term an in terms of 2^n.

2^n an = 2^n (-1)-¹√√2ⁿ (2ⁿ-3)²

= -2^(n-½)√√(2-³)²= -2^(n-½)2-³/2

= -2^(n-1/2-3/2)=-2^(n-2)

Thus, by Cauchy's condensation test, the convergence of the given series is equivalent to the convergence of the following series: n=0 2ⁿ (-2)ⁿ,

This is a convergent Geometric Series with a = 2 and r = -2.

Since the absolute value of r is less than 1, the series converges.

Therefore, the given series converges.

Part 2: Use the integral test to determine the following series converges or diverges.

4n³ / x=2(1+2n²)³

Here, a_n=4n³/ (1+2n²)³

Integrate this from 1 to infinity, ∫[4n³/(1+2n²)³]dn=a=-2/[(1+2n²)²] which is less than infinity.

Therefore, the given series converges.

To know more about converge visit:

https://brainly.com/question/29258536

#SPJ11

Answer:

Slope: 0, y-intercept: -1

Step-by-step explanation:

If a line is completely horizontal, the slope is 0. The equation of this line is:

y = 0x - 1 = -1

The slope is 0 and the y-intercept is -1 because that is the y-coordinate this line intercepts with.

Hope this helps!

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as

59.99 + 5.49 per first run movie = monthly bill

Representing the number of first run movies as r, we can say

59.99 + 5.49 * r = monthly bill

Next, the monthly bill should be less than or equal to 100, so we can say

monthly bill ≤ 100

59.99 + 5.49 * r = monthly bill ≤ 100

Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have

59.99 + 5.49 * r = 100

subtract 59.99 from both sides to isolate the f and its coefficient

40.01 = 5.49 * r

divide both sides by 5.49 to isolate the variable

r ≈ 7.29

Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100  is 7

The height of the ball at the top of the sixth path is approximately 27.06 cm.

a. The correct rule for the sequence using centimeters would be:

A(n) = 150 * (0.71)^(n-1)

This formula represents the height of the ball at term n, where n is the number of paths. The initial height is given by the term n = 1.

b. To find the height of the ball at the top of the sixth path, we can substitute n = 6 into the formula:

A(6) = 150 * (0.71)^(6-1)

= 150 * (0.71)^5

≈ 27.06 cm

Know more about sequence here:

https://brainly.com/question/30262438

#SPJ11

Answer:

15

Step-by-step explanation:

5bc = 5(-3)(-1) = -15(-1) = 15

Answer:

Angles of a triangle add up to 180 degrees.

So, if we add up all three of the angles of this triangle, we should have a sum of 180 degrees.

4x-10+x+26+x+14=180

4x-10+2x+40=180

6x+30=180

6x=150

x=25

Let me know if this helps!

Answer:

B

Step-by-step explanation:

it is correct

Answer:

hey do you want to join my zoom?

Step-by-step explanation:

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

for such more question on statistical decision

https://brainly.com/question/27342429

#SPJ11

Infinite discontinuity

The given equation is:

The function will be undefined at the point x + 1 = 0

x = -1

This means that x = -1 is a point of discontinuity

Substituting x = -1 into the equation:

This is an infinite discontinuity

The behavior of the function falls to the left and rises to the right.

Given function  f(x)=x^3-4x^2+7,

Firstly identify the degree of the function which is :

3

Now identify the leading coefficient which is :

1

Now, we know that if the degree is odd then the function ends in opposite direction.

And also the leading coefficient is positive which leads to rise of the graph to the right.

By using the degree and leading coefficient we can determine the behavior of the function by using  below statements ;

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

So the behavior of the function falls to the left and rises to the right.

To know about more behavior https://brainly.com/question/15388254

#SPJ1

Answer:

Choice B

Step-by-step explanation:

Triangles JKL and TVW are similar by SAS similarity postulate

if she sells 38 books we get that

she earns $89

The first four terms of the Taylor series for 3/x about the point α = 2 are: 3/2 - (3/4)(x-2) + (3/4)(x-2)² - (9/16)(x-2)³.

To find the Taylor series for a function, we need to calculate its derivatives at the point of expansion and then substitute those values into the general formula for the Taylor series. The general formula for the Taylor series of a function f(x) about a point a is:

f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)²/2! + f'''(a)(x-a)³/3! + ...

Here, we want to find the Taylor series for the function f(x) = 3/x about the point α = 2. First, we will calculate the derivatives of f(x):

f(x) = 3/x

f'(x) = -3/x²

f''(x) = 6/x³

f'''(x) = -18/x⁴

Now we can substitute these derivatives into the general formula for the Taylor series to get:

f(x) = f(2) + f'(2)(x-2)/1! + f''(2)(x-2)²/2! + f'''(2)(x-2)³/3! + ...

We can calculate the first few terms of this series:

f(2) = 3/2

f'(2) = -3/4

f''(2) = 3/4

f'''(2) = -9/16

Substituting these values into the series, we get:

3/x = 3/2 - (3/4)(x-2) + (3/4)(x-2)² - (9/16)(x-2)³ + ...

So the first four terms of the Taylor series for 3/x about the point α = 2 are 3/x = 3/2 - (3/4)(x-2) + (3/4)(x-2)² - (9/16)(x-2)³

Learn more about Taylor series :

https://brainly.com/question/29733106

#SPJ4

Answer:16

Step-by-step explanation:

Answer:15

Step-by-step explanation:

A) Bay Side School: Mean = 4.13 , median = 4.

Seaside School: Mean =  5.67, median = 6.

B) Bay Side School:Range = 8, IQR = 3

Seaside School: Range  = 8 IQR = 2

C) If you are interested in a smaller class size, Seaside School is a better choice.

Part A: To calculate the measures of center, we need to find the mean and median for both schools.

Bay Side School:

To find the mean, we sum up the class sizes and divide by the number of classes:

Mean = (8 + 6 + 5 + 5 + 8 + 6 + 5 + 4 + 2 + 3 + 2 + 0 + 0 + 0 + 6) / 15 = 62 / 15 ≈ 4.13

To find the median, we arrange the class sizes in ascending order and find the middle value:

Median = 4

Seaside School:

Mean = (0 + 1 + 2 + 5 + 6 + 8 + 5 + 8 + 5 + 7 + 7 + 8 + 5 + 2 + 4) / 15 = 85 / 15 ≈ 5.67

Median = 6

Part B: To calculate the measures of variability, we need to find the range and interquartile range (IQR) for both schools.

Bay Side School:

Range = Largest class size - Smallest class size = 8 - 0 = 8

IQR = Upper quartile - Lower quartile = 5 - 2 = 3

Seaside School:

Range = Largest class size - Smallest class size = 8 - 0 = 8

IQR = Upper quartile - Lower quartile = 7 - 5 = 2

Part C: If you are interested in a smaller class size, Seaside School is a better choice.

Reasoning:

The mean class size at Seaside School (approximately 5.67) is smaller than the mean class size at Bay Side School (approximately 4.13).

The median class size at Seaside School (6) is also larger than the median class size at Bay Side School (4).

The range and IQR for class sizes are the same for both schools (8 and 2, respectively).

Based on the measures of center (mean and median), Seaside School tends to have slightly smaller class sizes. However, it's important to note that class size alone may not be the only factor to consider when choosing a school. Other factors such as teaching quality, curriculum, facilities, and overall educational environment should also be taken into account.

For more such questions on Mean visit:

https://brainly.com/question/1136789

#SPJ8

Answer:

it's C

Step-by-step explanation:

LEARN THE FORMULA

Answer:

please open the following image for the answer

Answer:

3

Step-by-step explanation:

Variables are the letters.

I hope this could help!!!

Answer:

3

Step-by-step explanation:

The change in demand is $15 per barrel.

Given is that the price of oil increases from 20 to 5 per barrel.

So we can write the change in demand as -

$20 per barrel - $5 per barrel

$15 per barrel

Therefore, the change in demand is $15 per barrel.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ1

Answer:

transation and rotation