If a. sub n. is a geometric sequence with a. sub 1 is equal to 10. and a. sub 5 is equal to 810. , find r., the common ratio.


a. 1/3
b. 3
c. 81
d. 1/81

The probability of X being equal to 4 is 0.1755.

The probability of X being less than 4 is 0.60687.  

The probability of X being greater than or equal to 4 is 0.39313.

The probability of X being between 4 and 6 (inclusive) is 0.49719.

The first thing we need to do is to identify the parameters of the Poisson process. In this case, we are given that the mean is u=5.

(a) P(4):

P(X=4) = (e^(-u) * u^x) / x!

= (e^(-5) * 5^4) / 4!

= 0.1755


(b) P(X<4):

P(X<4) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

= (e^(-5) * 5^0) / 0! + (e^(-5) * 5^1) / 1! + (e^(-5) * 5^2) / 2! + (e^(-5) * 5^3) / 3!

= 0.12465 + 0.20593 + 0.17547 + 0.10082

= 0.60687



(c) P(X>=4):

P(X>=4) = 1 - P(X<4)

= 1 - 0.60687

= 0.39313



(d) P(4<=X<=6):

P(4<=X<=6) = P(X=4) + P(X=5) + P(X=6)

= (e^(-5) * 5^4) / 4! + (e^(-5) * 5^5) / 5! + (e^(-5) * 5^6) / 6!

= 0.1755 + 0.17547 + 0.14622

= 0.49719

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Answer:x= 2/5

Step-by-step explanation:

Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

Check the picture below.

Make sure your calculator is in Degree mode.

The function which has the constant rate of change as -1/4 is the function(i) whose graph passes through the points (-2,2) and (2,1).

The "Rate-Of -Change" of a graph is defined as a measure of how much one variable changes in relation to another variable. It is calculated by finding slope of line which represents the graph.

The graph of function(i) is a coordinate-plane with a straight line with a negative slope and line passes through (-2, 2) and (2, 1).

The equation is written as :

⇒ y - 1 = [(1-2)/(2+2)]×(x -2),

⇒ y - 1 = (-1/4)×(x -2),

⇒ y = -(x/4) + 1/2 + 1,

⇒ y = -x/4 + 3/2,

Therefore, the constant-additive rate of change = -1/4.

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The given question is incomplete, the complete question is

Which function has a constant additive rate of change of -1/4?

The graph of function(i) is a coordinate plane with a straight line with a negative slope. The line passes through (-2, 2) and (2, 1).

The graph of function(ii) is a coordinate plane with a curved line passing through (-1, 2), (0, -1), the minimum at (2, -2), and (4, -1).

Answer:

3 1/2

Step-by-step explanation:

the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2

The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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Answer:

p is called transversal

line M and N are called parallel lines

angle 7 and 5 are called vertically opposite angles

angle 2 and 5 are called corresponding angles

Step-by-step explanation:

The car travel before stopping is 400 meters

The car's initial speed was 80 m/s.

Acceleration/Deferral = 8 m/s2.

The following is the equation of motion for time t and distance s:

v = u + at

s = ut + 1/2 * a * t ^2

v = final velocity = 0 where

Thus, s = 80 * 10 - 1/2 * 8 * 10 *10

= 800 - 400

= 400 meters were covered before stopping, giving us 0 = 80 - 8 * t t

= 80/8

= 10 seconds.

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The full question:

A car moving a straight highway with a speed of 80 m/s is forced to slow down at a rate of 8 m/s^2. How far does a car travel before stopping?

Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.

An explanation of the other options is as follows:

- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.

total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.

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Answer:

These are all equivalent expressions

Step-by-step explanation:

6x+12

6(x+2)

12(.5x+1)

1.5(4x+12)

Answer:

4x^3 and -12x^3

Step-by-step explanation:

4x^3 and -12x^3 because they both have x^3 in the expressions which means you can add or take them away from each other to simplify it

Algebra test because the correlation is higher.

What does a statistical correlation mean?

A statistical metric known as correlation, which is given as a number, describes the strength and direction of a relationship between two or more variables.

                         Although there may be a correlation between two variables, this does not necessarily imply that the change in one variable is what led to the change in the values of the other variable.

Why correlation, you ask?

In common conversation, we use the word correlation to describe situations where two or more items seem to be connected.

                       In the field of analytics, correlations are certain numbers that are computed to express how closely related variables are to one another.

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We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1   dice 2  sum

2           6            8

3           5            8

4           4            8

5          6             8

6           2            8

6           6            12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6)  = -1/6 points.

So the correct option is negative one-sixth.

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Answer:

-1/6

Step-by-step explanation:

The constant of proportionality based on the information regarding Micah is 1/2

The constant of proportionality simply implies that the ratio which relates to the values has a constant value. This is represented as k.

In this case, for every $5 that Micha saves, by parent give him $10.

Let the amount that he saves be y

Let the amount that was given to him be x.

The constant is k.

This will be:

y = kx

5 = 10k

Divide

k = 5/10

k = 1/2

The constant of proportionality is 1/2.

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Answer:

it's D you multiply everything by 2

Tim was driving for 5 hours before he caught up to Dora.

The answer is (a) 5 hours.

To solve this problem, we can use the formula:
distance = rate × time
Let's denote the time Tim drove as t hours.

Since Dora started driving one hour earlier, her driving time would be (t + 1) hours.
Dora's distance: 75 kph × (t + 1)
Tim's distance: 90 kph × t
Since Tim catches up to Dora, their distances will be equal:
75(t + 1) = 90t
Now we can solve for t:
75t + 75 = 90t
75 = 15t
t = 5.

The answer is (a) 5 hours.

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Answer:

k = ½

Equation => \( y = \frac{1}{2}x \)

Step-by-step explanation:

Constant of proportionality (k) = y/x

Using a point on the graph, (6, 3),

k = y/x = 3/6 = ½

k = ½

Equation of the line:

Plug in the value of k into \( y = kx \) (slope-intercept form of equation for proportional relationship)

Thus:

\( y = \frac{1}{2}x \)

Answer:

43

Step-by-step explanation:

angle c=90 because it is an angle gotten from the two ends of a diameter

sum of angles in a triangle is 180

since an angle is 90 the other two angles sum up to 90

angle a =90-37=43

The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).

In mathematics, what is dilation?

Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit and there are only four basic types of transformations. They are as follows:

Some characteristics stay constant during dilation are:

Now,

Before reflection

Coordinates of V are (−3, −1).

and reflection of V is across y=-x, which will make values for x and y opposite or change the sign of coordinates.

then coordinates of V' are (3,1)

hence,

           The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).

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When bound to CR1 (complement receptor 1), C3b is cleaved by Factor I, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

The complement system is a part of the immune system that plays a crucial role in recognizing and eliminating pathogens. C3b is a component of the complement system that can opsonize pathogens, marking them for phagocytosis by immune cells. When C3b binds to CR1, which is present on B cells, the cleavage of C3b occurs. This cleavage is performed by an enzyme called Factor I, which is regulated by co-factors such as membrane cofactor protein (MCP). Factor I acts by proteolytically cleaving C3b into smaller fragments, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

These pathogen-associated B-cell co-receptor ligands play a role in the activation of B cells, promoting their immune response against the pathogen. By cleaving C3b, Factor I helps regulate and fine-tune the complement system, ensuring an appropriate immune response while preventing excessive inflammation or damage to host tissues.

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The circumference of circle of radius 70 cm is 440 \(cm^{2}\).

According to the question,

We have the following information:

Radius of the circle = 70 cm

(Diameter is twice that of its radius..)

We know that the following formula is used to find the circumference of circle:

Circumference of circle = 2πr

(More to know: the formula to find the area of circle is π\(r^{2}\).)

(More to know: there are two values of π. One is 3.14 and one is 22/7.)

Circumference of circle = 2*(22/7)*70

Circumference of circle = 440 \(cm^{2}\)

Hence, the circumference of the circle of radius 70 cm is 440 \(cm^{2}\).

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Answer:

three thousand three hundred and fifty.3,350

Step-by-step explanation:

the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth  of 13,400. So, if you add 3,350 four times, it would be 13,400.

Hope this helped!<3

Answer:

x = - (15 - 11y)/4

y = x/2

Step by step explanation:Let's first solve for x

=>- 4x + 11y = 15

=>- 4x + 11y - 11y = 15 - 11y

=>- 4x = 15 - 11y

=>(- 4x)/- 4 = 15/- 4 - (11y)/- 4

x = - (15 - 11y)/4

let's solve for y

=>x = 2y

=>2y = x

=>(2y)/2 = x/2

y = x/2

Answer:

Step-by-step explanation:

Given system:

Solve by substitution:

Find x:

The length of the hypotenuse BC in right  angled triangle ABC is 3.605 units.

A triangle is said to be right angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. Consequently, other names for this triangle include the right triangle and 90-degree triangle.

In right angle triangle if 90 degree angle is A then

\(AB^{2} +AC^{2} = BC^{2}\)

And here length of altitude AB equals to 3 units and length of base  AC equals to 2 units And here length of hypotenuse BC equals to \(\sqrt{13}\) units

\(AB^{2} +AC^{2} = BC^{2}\)

\(3^{2} +2^{2} = \sqrt{13}\)

\(\sqrt{13}\)= 3.60555 unit

And here ans \(\sqrt{13}\) is already give what we have to do just calculate the value of \(\sqrt{13}\) which is = 3.605

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Answer:

4. Complimentary angles

Step-by-step explanation:

Answer:

3. adjacent angles

4. complementary angles

The individuals in this data set are C) Cities

Same idea as last time, but now we're listing cities and their associated weather data.

=============================================

The data set contains B) 4 variables, 2 of which are categorical

The four variables are

The two categorical variables are "kind of precipitation" and "severe weather alert". This is because the choices for each of these variables is a list of labels rather than numeric values. We cannot do things like find the average of the kind of precipitation as it doesn't make sense to do so. Each of these categorical variables are also nominal. This means they simply have a label or name. We cannot do things like order the data.

To determine how much of the variation in average annual energy expenditures is explained by the least-squares regression line, we can look at the coefficient of determination (R-squared) for the regression model.

R-squared is the proportion of the variance in the dependent variable (in this case, average annual energy expenditures) that is explained by the independent variable(s) (in this case, the variable(s) used in the regression model).

The formula for R-squared is:

R-squared = 1 - (SSres / SStot)

where SSres is the sum of squared residuals (i.e., the sum of the squared differences between the actual values and the predicted values) and SStot is the total sum of squares (i.e., the sum of the squared differences between the actual values and the mean value of the dependent variable).

Since the question does not provide any data or regression model, we cannot calculate the exact value of R-squared. However, if you have the data and the regression model, you can calculate R-squared using the above formula and round the answer to at least one decimal place.

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Answer:

2

Step-by-step explanation:

Because an input can't have 2 outputs.

Hope this helps!

Answer:

1 over 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

If by what is the measure of angle CBD you mean the degrees then I would say it is 45 degrees.