What number represents the same amount as 777 hundreds ~+~0 + 0space, plus, space, 0 tens +~100+ 100plus, space, 100 ones?

The expected value of the discrete distribution, for each case, is given as follows:

a) Amount won by one entry: $0.075.

b) If the cost is the cost of a postage stamp:  -$0.525.

The expected value of a discrete distribution is obtained with the sum of each outcome multiplied by it's probabillity.

In this problem, the distribution for the prizes is given as follows:

Hence the expected value for the prizes is:

E(X) = 10,000,000 x 1/300,000,000 + 350,000 x 1/150,000,000 + 50,000 x 1/10,000,000 + 20,000 x 1/1,000,000 + 400 x 1/200,000 + 75 x 1/6,000 = $0.075.

The cost of a postage stamp is of $0.6, hence the expected value considering this cost would be of:

0.075 - 0.6 = -$0.525.

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Answer:

B) 27

Step-by-step explanation:

(-3,27)

(-1,19)

(0,15)

(2,7)

The maximum possible error that will be associated with the estimate when the analyst uses a sample size of 400 observations is 3.78 percent and the sample size that the analyst would need in order to have the maximum error be no more than ±5 percent is 297 observations.

The maximum possible error that will be associated with the estimate when the analyst uses a sample size of 400 observations is 3.78 percent.

Error formula for proportion:

Maximum possible error = z * √(p^ * (1-p^)/n)

Where z = 1.65 for 90 percent confidencep^

              = 0.3n

              = 400

Substitute the given values into the formula:

Maximum possible error = 1.65 * √(0.3 * (1-0.3)/400)

Maximum possible error = 1.65 * √(0.3 * 0.7/400)

Maximum possible error = 1.65 * √0.0021

Maximum possible error = 1.65 * 0.0458

Maximum possible error = 0.0756 or 7.56% (rounded to two decimal places)

b. The sample size that the analyst would need in order to have the maximum error be no more than ±5 percent can be calculated as follows:

Error formula for proportion:

Maximum possible error = z * √(p^ * (1-p^)/n)

Where z = 1.65 for 90 percent confidencep^ = 0.3n = ?

Maximum possible error = 0.05

Substitute the given values into the formula:

0.05 = 1.65 * √(0.3 * (1-0.3)/n)0.05/1.65

        = √(0.3 * (1-0.3)/n)0.0303

        = 0.3 * (1-0.3)/nn

        = 0.3 * (1-0.3)/(0.0303)n

        = 296.95 or 297 (rounded up to the nearest whole number)

Therefore, the sample size that the analyst would need in order to have the maximum error be no more than ±5 percent is 297 observations.

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The equation is s = (-14/8) t + 14

A statement proving the equality of two mathematical expressions is known as an equation. The goal is frequently to ascertain the values of the variables that make the equation true, and it may have one or more variables.

Let's suppose the equation be: s = k×t + b

When, t =0, s =14,

then, b = 14.

When, s =0, t =8

then, 0 = 8k + 14.

k = -14/8

That's why, equation s = (-14/8) t + 14

When t =0, s =14, the y-intercept of the function is 14.

The snow began to melt at a steady rate and the steady rate is 14/8

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Complete question graph-

Answer:

y>=2-2x

Step-by-step explanation:

hope this helps

Answer:

Choice 1

Step-by-step explanation:

Let‘s go through each answer and analyze a

each.

Choice 1

Parallel means to lines with the same slope, they never intersect, ever, they always remain next to each other and never touch. This is true for the picture

Choice 2

Perpendicular means that two lines intersect at a right angle, however upon looking at the picture you can see this is not a right angle, but an acute angle. So it is not perpendicular.

Choice 3

A Line Segment means a line with dots on either end, symbolizing the end of the line. This is not a line segment because there are arrows on the ends, indicating these lines go on forever. This is not a segment

Choice 4

We already determined this is neither a segment nor perpendicular so it cannot be this choice

This leaves us with Choice 1.

I hope this helps!

Please give thanks and brainliest!

Lines, angles, and shapes can be constructed using a compass and a straightedge.

The construction in the image is (a) a line parallel to a given line through a point not on the line

From the attached image, we have the following highlights

The above highlights means that:

The construction in the image is a parallel line.

Hence, the true statement is (a)

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Answer:

(-3,-4) is the answer for the question

Answer:

c=-19

Step-by-step explanation:

c+8 = -11

c+8-8 = -11-8'

c=-19

Brainliest here! I need it to level up!

Answer:

c = -19

Step-by-step explanation:

c+8=-11

Subtract 8 from each side

c+8-8=-11-8

c = -19

I'm sorry, there seems to be a missing expression for problem 19. Could you please provide the full problem statement?

We can see that the angle (4x-12) and 120 are supplementary. That is, they add 180 degrees.

We can conclude that because the supplementary angle for (4x-12) is similar to the angle of 120 degrees.

Then, we can work from this equality:

The value of x is 18 degrees.

The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

The given sequence is an arithmetic sequence.

First term a1 = \(1\frac{1}{2}\) = 3/2

Last term an = \(2\frac{1}{2}\) = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

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Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are \(1\frac{1}{2}\), \(2\frac{1}{2}\) and 1/9 respectively, how many terms has the sequence?

Answer:

its y 3

Step-by-step explanation:

Answer:

Find the equation of a line from a graph

To find an equation of a line given two points.

Find the slope using the given points. m=y2−y1x2−x1.

Choose one point.

Substitute the values into the point-slope form: y−y1=m(x−x1).

Write the equation in slope-intercept form.

Step-by-step explanation:

Hope this helps leave a heart c:

Answer:

a=4+2/x <-- 2 over x its a fraction

Step-by-step explanation:

Answer:

2x times 10 im guessing

Step-by-step explanation:

Answer:

n knf

Step-by-step explanation:

sdfdfdf

Answer:

16 inches

Step-by-step explanation:

The variables in this equation are miles and inches. You're given the ration 2 inches: 75 miles. Take the other factor that you are given, which for this problem would be 600 miles, and divide it by the number with the same variable, which would be 75 miles. This comes out to be 8, to which you then multiply that by the number with the variable that you are trying to find, which is two. Therefore, the length of the highway on the map would be 16 inches.

Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y = 0, x = 0, and x = 1 about the line x = 2 is (5/6)π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, we use the method of cylindrical shells. The formula for the volume of a cylindrical shell is given as,
Volume = 2πrh * Δx

Where, r is the distance of the shell from the axis of rotation, h is the height of the shell, and Δx is the thickness of the shell. The factor 2π accounts for the entire circumference of the shell.
Example problem: Find the volume of the solid generated by rotating the region bounded by the curves y = x^2, y = 0, x = 0, and x = 1 about the line x = 2.
Solution:
Step 1: Draw the graph of the region to be rotated
Step 2: Identify the shell radius and height
For a shell at position x, the radius is given by r = 2 - x (the distance of the line x = 2 from the axis of rotation)
The height of the shell is given by h = x^2 (the difference between the top and bottom curves)
Step 3: Write the volume formula
Volume = 2πrh * Δx
Step 4: Integrate to find the total volume
The limits of integration are from 0 to 1 since the curves intersect at (0,0) and (1,1).
\(∫ 2π(2 - x)(x^2) dx from 0 to 1\)
= \(2π [∫ 2x^2 - x^3 dx from 0 to 1]\)
= \(2π [(2/3) - (1/4)]\)
= 2π [5/12]\(2π [5/12]\)
= (5/6)π cubic units
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On A type Fa,La,Do on B Type Mi,So,Ti

Answer:

I think that the answer is B

Answer:

P - 5

Step-by-step explanation:

hello

original price is P

$5 discount means that the final price is P - 5

hope this helps

Answer:

p-5

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

-7x2 is -14

-14x-2 is positive 28.

Answer:

Step-by-step explanation:

(-7)(2)(-2)

-14(-2)= 28

answer is 3

The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Answer: option 2 lol

Step-by-step explanation:

Answer: B=0.9, C=1.8, A=5.3 I think.

B fits into C and A 2 times

A bar graph is the most popular visual representation of quantitative data.

Another name for them is bar charts. One tool used in statistics for data processing is the bar graph. Using a bar diagram, it is simple and quick to compare sets of data among several groupings. On one axis of the graph are discrete numbers, while on the other are categories. The purpose is to illustrate how the two axes are related. Bar charts can also show significant alterations in data over time.

Given,

A bar graph is the most popular visual representation of quantitative data.

b) Bar graph

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The given infinite geometric series converges, and its sum is 5/4.

An infinite geometric series converges if the absolute value of the common ratio is less than 1. In the given series, each term is obtained by multiplying the previous term by 1/5, which means the common ratio is 1/5. Since the absolute value of the common ratio (|1/5|) is less than 1, the series converges.

To find the sum of the convergent series, we can use the formula for the sum of an infinite geometric series, which is given by S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. In this case, the first term (a) is 1, and the common ratio (r) is 1/5.

Substituting the values into the formula, we have S = 1 / (1 - 1/5) = 1 / (4/5) = 5/4. Therefore, the sum of the given infinite geometric series is 5/4.

In conclusion, the infinite geometric series 1 + 1/5 + 1/25 + ... converges, and its sum is 5/4.

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

The one in the top left corner I THINK

Step-by-step explanation:

It is on baisically the same line and makes the most sense to ME.

DO NOT PICK ME IF YOU ARE NOT SURE!!!

Answer:

7980

Step-by-step explanation:

The solutions to the given system of differential equations are:

x(t) = (6 - s) × \(e^{2.5t}\) × sin(t√(1.75))

y(t) = -\(e^{2.5t}\) × cos(t√(1.75))

To solve the given system of differential equations using Laplace transforms, we'll first take the Laplace transform of both equations and then solve for the Laplace transforms of x(t) and y(t). Let's denote the Laplace transform of a function f(t) as F(s).

Applying the Laplace transform to the first equation:

sX(s) - x(0) + sY(s) - y(0) = 3X(s) + 2Y(s)

Since x(0) = 1 and y(0) = 0:

sX(s) + sY(s) = 3X(s) + 2Y(s) + 1

Rearranging the equation:

(s - 3)X(s) + (s - 2)Y(s) = 1

Similarly, applying the Laplace transform to the second equation:

sX(s) - x(0) - 2sY(s) + 2y(0) = -4Y(s)

Since x(0) = 1 and y(0) = 0:

sX(s) - 2sY(s) = -4Y(s)

Rearranging the equation:

sX(s) + 4Y(s) = 0

Now we have a system of two equations in terms of X(s) and Y(s):

(s - 3)X(s) + (s - 2)Y(s) = 1

sX(s) + 4Y(s) = 0

To solve for X(s) and Y(s), we can use matrix techniques. Rewriting the system in matrix form:

| s - 3 s - 2 | | X(s) | | 1 |

| | | = | |

| s 4 | | Y(s) | | 0 |

Applying matrix inversion, we have:

| X(s) | | 4 - (s - 2) | | 1 |

| | = | | | |

| Y(s) | | -s s - 3 | | 0 |

Multiplying the matrices:

X(s) = (4 - (s - 2)) / (4(s - 3) - (-s)(s - 2))

Y(s) = (-s) / (4(s - 3) - (-s)(s - 2))

Simplifying the expressions:

X(s) = (6 - s) / (s² - 5s + 12)

Y(s) = -s / (s² - 5s + 12)

Now we have the Laplace transforms of x(t) and y(t). To find their inverse Laplace transforms, we can use partial fraction decomposition and inverse transform tables.

Completing the square in the denominator of X(s):

X(s) = (6 - s) / [(s - 2.5)² + 1.75]

Using the inverse Laplace transform table, we know that the inverse Laplace transform of 1/(s² + a²) is sin(at). Therefore, applying the inverse Laplace transform:

x(t) = (6 - s) × \(e^{2.5t}\) × sin(t×√(1.75))

Similarly, completing the square in the denominator of Y(s):

Y(s) = -s / [(s - 2.5)² + 1.75]

Using the inverse Laplace transform table, we know that the inverse Laplace transform of s/(s² + a²) is cos(at). Therefore, applying the inverse Laplace transform:

y(t) = -\(e^{2.5t}\) × cos(t×√(1.75))

So the solutions to the given system of differential equations are:

x(t) = (6 - s) × \(e^{2.5t}\) × sin(t√(1.75))

y(t) = -\(e^{2.5t}\) × cos(t√(1.75))

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