Suppose there were m married couples, but that d of these 2m. people have died, Regard the d deaths as striking the 2m people at random. Let X be the number of surviving couples. Find:

Answer:

I dont know how to draw a diagram on this. And  don't know the full answer.

Step-by-step explanation:

18.68

Leave the .68 since there is no decimal in the seven. You can either add or subtract to figure out. I pick the number 17 and count 7 up. Doesn't work then try another number. I add 7 to 18 and get 25. Then I take by my decimal and get 25.68. BY subtracting, leave out the .68. Then subtract.

  you get 18 :D. Remember to add back the .68. That's how I do it

Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)

Answer:

Step-by-step explanation:

c=1/4(A-3c)

4c = A-3c

7c = A

c = A/7

Answer:

v≤-12, and the graph is left 12  

Step-by-step explanation:

The probability that you will walk at least 2 dogs this week is 0.74

The probability that you will walk at most 2 dogs this week is 0.41

The probability that you will walk 3 dogs this week is 0.23

The probability that the number of dogs you will walk this week is not less than 5 is 0.18

The expected number of dogs you will walk this week is 2.83

The expected value of x is 11.29

The variance of dogs you will walk this week is 3.2811

The standard deviation of dogs you will walk this week is 1.8113

X: Random variable denoting how many dogs you walk this week.

Table attached at the end of solution

a) Probability that you will walk at least 2 dogs this week

\(P(x \geqslant 2) & =1-P(x < 2) \\\)

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [0.14 + 0.12]

= 1 - 0.26

\(P(x \geqslant 2) &\) = 0.74

b) What is the probability that you will walk at most 2 dogs this week

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

= 0.14 + 0.12 + 0.15

P(x < 2) = 0.41

c) Probability that you will walk 3 dogs this week

P(x = 3) = 0.23

d) Probability that the number of dogs you will walk this week is not less than 5

\(P(x \geqslant 5) &\) = P(x = 6) + P(x = 7) + P(x = 5)

= 0.08 + 0.01 + 0.09

= 0.09 + 0.09

= 0.18

e) Expected number of dogs you will want this week

F(x) = \(\sum_i p_i x_i\)

E(x) = 0 × 0.14 + 1 × 0.12 + 2 × 0.15 + 3 × 0.23 + 4 × 0.18 + 5 × 0.09 + 6 × 0.08 + 7 × 0.01

E(x) = 2.83

f) Expected value of \($x^2$\)

\(E\left(x^2\right) & =\sum_1 p_i x_i^2 \\\)

= 0 × 0.14 + 1 × 0.12 + 4 × 0.15 + 9 × 0.23 + 16 × 0.18 + 25 × 0.09 + 36 × 0.08 + 49 × 0.01

\(E\left(x^2\right) &\) = 11.29

g) Variance of dogs you will walk this week

\(V(x) & =E\left(x^2\right)-[E(x)]^2 \\\)

\(& =11.29-(2.83)^2 \\\)

= 3.2811

h) Standard deviation of dogs you will walk this week

SD (x) = \(\sqrt{3.2811} \\\)

= 1.8113

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You start a dog-walking business. Define X to be a random variable denoting how many dogs you walk

this week. The probability mass function (pmf), f(x), of X is defined as follows:

Table attached at end of the solution

(a) What is the probability that you will walk at least 2 dogs this week?

(b) What is the probability that you will walk at most 2 dogs this week?

(c) What is the probability that you will walk 3 dogs this week?

(d) What is the probability that the number of dogs you will walk this week not be less than 5 ?

(e) What is the expected number of dogs you will walk this week?

(f) What is the expected value of \($X^2$\) ?

(g) What is the variance of dogs you will walk this week?

(h) What is the standard deviation of dogs you will walk this week?

Answer:

a)b=4

b)x=-9

c)r=6

Step-by-step explanation:

Question 2.

a)5b+6=26

5b=26-6

5b=20

b=4

b)6-x=15

-x=15-6

-x=9

x=-9

c)r/2+2=5

r/2=5-2

r/2=3

Multiply both sides by 2 to remain with r

r/2×2=3×2

r=6.

Let's begin by listing out the information given to us:

slope-intercept form of the equation of the line is given by:

The value of {x} in the given geometrical figure is 7.

Given is a pair of intersected lines.

We can write, as observed from the image that -

6x + 3 = 45             {Vertically opposite angles}

6x = 42

x = 7  

Therefore, the value of {x} in the given geometrical figure is 7.

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Answer:

1The answer is 19.2

Step-by-step explanation:

24 - 4.8 = 19.2

the number is 30.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

a number Is decreased by 20% of itself, the result is 24.

let, the number =x

then, we get,

x *80% = 24

i.e. x* 4/5 = 24

so, x= 30.

hence, the number is 30.

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Answer:

a displacement of 3 meters.

Step-by-step explanation:

you move 6 meters to the right, then 3 meters to the left

6 - 3 = 3

displacement is the distance away from the starting point

The ball traveled a total displacement of 3m.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

      <------------6m----------------->

Ball ____________________

                       Ball_________

                             <------3m------>

Distance traveled by the ball.

= 6 m + 3m

= 9 m

Displacement is the shortest distance traveled by the ball.

= 6 - 3

= 3m

Thus,

Displacement is 3m.

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Answer:

3.14 is the term for pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference of circle = πd    {when diameter is given}

            or

Circumference of circle = 2πr   { when radius is given}

Answer:3402

Step-by-step explanation:

Answer:

it is terminating

Step-by-step explanation:

Answer:

11/20 is a terminating decimal.

Step-by-step explanation:

1) Find the denominator of 11/20 in its lowest form.

The greatest common factor (GCF) of 11 and 20 is 1. Convert 11/20 to its simplest form by dividing the numerator and denominator by its GCF: The denominator of 11/20 in its lowest form is 20.

11 ÷ 1  / 20 ÷ 1  = 11 /  20

2) Find the prime factors of the answer in Step 1.

The prime factors of 20 are all the prime numbers that you multiply together to get 20. The prime factors of 20 are:

2 x 2 x 5

3) Determine if 11/20 is terminating.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:

11/20  = terminating.

Hope this helps.

Lambda  is the proportional reduction in error-based measure of association for nominal data uses marginals to reduce prediction errors.

According to the statement

we have to find and explain about the term which is used in the proportional reduction in error-based measure of association for nominal data uses marginals to reduce prediction errors.

So, For this purpose, we know that the

Lambda is the calculate the error rate, divide the value of Errors by the value of Invocations .

And

Lambda calculus is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding.

It is the term used in the nominal data to calculate the errors.

Lambda is the always proportional reduction in error-based measure of association for nominal data.

So, from all this it is clear that the Lambda  is the proportional reduction in error-based measure of association for nominal data uses marginals to reduce prediction errors.

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Answer:

1,519.98 feet

Step-by-step explanation:

Given the following

Angle of elevation = 35 degrees

Distance of david from the plane = 2650feet

Altitude = x

Using SOH CAH TOA

sin theta = opp/hyp

sin 35 = x/2650

x = 2650sin35

x = 2650(0.5736)

x = 1,519.98

Hence the altitude of the plane is 1,519.98 feet

Before computing the correlation coefficient, r, we need to know the mean and standard deviation of both variables. The correlation coefficient, r, is used to determine the strength of a relationship between two quantitative variables.

It takes values between -1 and 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation between the variables. Before calculating the correlation coefficient, it is important to have both the mean and standard deviation for each of the two variables. This information is essential as it is used to compute the covariance, which is required for calculating r.In order to find the mean of a set of data, one can sum all the values in the set and then divide by the total number of values.

The standard deviation measures the spread of the data from the mean. The formula for standard deviation is: σ=√((∑(x−μ)^2)/n)

where σ is the standard deviation, x is a data value, μ is the mean, and n is the total number of data points.

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Answer:

( A . ans )expressions that work the same even though they look different.

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

256

Step-by-step explanation:

The quotient of the given expression will be 256.

From the given data

\(=\dfrac{2^{4} }{2^{-4} }\)

Now it will become

\(2^{4} \times 2^{4} = 2^{8} =256\)

Thus the quotient of the given expression will be 256

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Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:

Problem

Kyle just graduated from college and got his first job, he has $45,000 in student loan debt, wants to buy a new car, and is considering opening up a retirement account. He has a disposable income of $300/month, what would you recommend he do with this money? Why?

Solution

For this case the best option would be put the $45000 in a bank with a compound interest

And with the earnings each month of 300$ he can put the half of this into the account and the remain to spend on other things

Answer:

Postive.

Step-by-step explanation:

A positive number times a positive number equals a positive number. This is the multiplication you have been doing all along, positive numbers times positive numbers equal positive numbers. For example, 5 x 3 = 15.

Answer:

positive times positive equals a positive

Step-by-step explanation:

it just does

The sum in expanded form is 6 Σ (1 / i + 1) as i ranges from 1 to 6, the sum in expanded form is 6 Σ (i^3) as i ranges from 4 to 6. the sum in expanded form is n Σ (f(xi) * Δxi) as i ranges from 1 to n.

The sum 6 Σ (1 / i + 1) as i ranges from 1 to 6 can be expanded as: (1/1 + 1) + (1/2 + 1) + (1/3 + 1) + (1/4 + 1) + (1/5 + 1) + (1/6 + 1), The sum 6 Σ (i^3) as i ranges from 4 to 6 can be expanded as: 4^3 + 5^3 + 6^3.

The sum n Σ (f(xi) * Δxi) as i ranges from 1 to n represents a Riemann sum, where f(xi) represents the value of a function at a particular point xi, and Δxi represents the width of the interval.

To expand this sum, you would need specific values for n, f(xi), and Δxi. For example, if n = 4, the expanded form would look like: f(x1) * Δx1 + f(x2) * Δx2 + f(x3) * Δx3 + f(x4) * Δx4

The expansion of the sum depends on the specific values and the nature of the function being evaluated.

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There are 3 mangoes left behind after making 39 trays of 9 mangoes each

To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.

Number of mangoes per tray = 9

Number of trays = 354 mangoes / 9 mangoes per tray

Number of trays = 39 trays

So, 39 trays can be made from 354 mangoes.

To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.

Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays

Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)

Number of mangoes left behind = 354 mangoes - 351 mangoes

Number of mangoes left behind = 3 mangoes

Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each

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I could be wrong, but your answer should be: \(50h^2-100h-150\).

--------------------------------------------

Hope this helps!

Have a great day and God bless! :)

Answer:

\(50h^{2} -100h -150\)

Step-by-step explanation:

Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.

\(5(10h^{2} -20h -30)\)           Given

\(50h^{2} -100h -150\)            5x10=50, 5x(-20)=-100, and 5x(-30)=-150

To find the volume of the solid generated by revolving the region bounded by f(x) = sin x and g(x) = cos x, 0 ≤ x ≤ π/4 about the x-axis, we need to use the disk method as the cross-sections of the solid generated are disks.

Here is the step-by-step solution:

Step 1: Sketch the Region To generate a solid by revolving a region, we need to visualize that region and sketch it. The given region is bounded by

f(x) = sin x and g(x) = cos x, 0 ≤ x ≤ π/4 about the x-axis. The sketch of the region is as follows;

Step 2: Determine the limits of Integration To find the volume of the solid, we need to integrate the cross-sectional area over the region of rotation. Since the region of revolution is bounded by f(x) and g(x), the limits of integration are [0, π/4].

Step 3: Find the radius of each disk As mentioned above, the cross-sections of the solid are disks. The radius of each disk is the distance from the axis of revolution to the edge of the solid. The axis of revolution in this case is the x-axis. Therefore, the radius is given by; radius = f(x) - g(x)

Step 4: Find the cross-sectional area of each disk The cross-sectional area of each disk is given by; A = πr² where r is the radius of the disk. From step 3, the radius of each disk is given by; radius

= f(x) - g(x) therefore, the cross-sectional area of each disk is given by; A = π(f(x) - g(x))²Step 5: Find the Volume of the Solid The volume of the solid generated by revolving the region bounded by

f(x) = sin x and g(x) = cos x, 0 ≤ x ≤ π/4 about the x-axis is given by; V = ∫[0, π/4] π(f(x) - g(x))²dx.

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Answer:

Option 3

Step-by-step explanation:

The slope is \(\frac{-2-6}{5-1}=-2\).

The equation of the line through \((x_1, y_1)\) with slope \(m\) is \(y-y_1=m(x-x_1)\).

y-6=-2(x-1) is the equation is a point slope form equation for line AB

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

m=-2-6/5-1

m=-8/4

=-2

So slope is -2.

The point slope intercept of line is

y-y₁=m(x-x₁)

y-6=-2(x-1)

Hence y-6=-2(x-1) is the equation is a point slope form equation for line AB

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The Spearman-Brown formula is used to adjust the reliability estimate of a test when concerns arise about the shortness of the test, i.e., the limited number of test items. Thus, B is correct.

The formula takes into account the number of items in the test and calculates the expected increase in reliability if the test were to be made longer. The formula is based on the assumption that adding more items to a test would increase its reliability, and thus provides a way to estimate the theoretical minimum length of a test required to achieve a desired level of reliability.

The formula is widely used in psychological testing and educational measurement to evaluate the reliability of test scores and to make decisions about the number of items needed in a test to achieve a desired level of reliability.

This question should be provided as:

The Spearman-Brown formula is for which purpose?

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The points A', B', and C' are  (3, 1), (0, 3) and (-2, 4) respectively. The solution has been obtained by using the concept of transformation.

What is transformation?

Transformations allow for the translation, rotation, and reflection of shapes on a coordinate plane. Any line, point, or vector can be rotated, translated, or reflected.

We are given coordinates of triangle ABC as A (1, -3), B (3, 0) and C (4, -2).

Now, we need to rotate the triangle ABC 90 degrees about the origin.

We know that the rotation rule for rotating 90 degrees about the origin is that (x, y) becomes (y, -x).

So, from this we get the coordinates as

A' (3, -1)

B' (0, -3)

C' (-2, -4)

Now, on reflecting it over the x - axis, we get

A' (3, 1)

B' (0, 3)

C' (-2, 4)

Hence, the points A', B', and C' are  (3, 1), (0, 3) and (-2, 4) respectively.

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