Given the points (-5, 1) and (6, 4) find the slope.​

Thus, the total probability (either Ashley or his wife wins the prize) is found as: 29/450.

Calculations of probability are divided into several portions by the total probability rule. When you don't know enough about an event's probabilities to determine it directly, you can utilise it to determine the likelihood of an occurrence, A. Instead, you determine the likelihood of an associated occurrence, B, using it.

Given data:

probability of winning grand prize P(E) = 1/30.

So, probability of not winning prize P(E') = 1 - 1/30 = 29/30.

probability(either Ashley or his wife wins the prize) = P(E).P(E') + P(E').P(E)

= 1/30 * 29/30 + 29/30 * 1/30

= 29/900 + 29/900

= 29/450

Thus, the probability (either Ashley or his wife wins the prize) is found as: 29/450.

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Answer:

70.696969697

Step-by-step explanation:

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Answer:

10

Step-by-step explanation:

30 boys

1/2 play football

30/2 = 15

15 boys left

2/3 play rugby

15 x 2/3 = 10

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

length =105 width =10

Step-by-step explanation:

L=10*W+5

P=230

P=2(L+W)

230=2(10W+5+W)

SOLVE FOR W

W=10

L=10*W+5

=10*10+5

L=105

Answer:

Point A

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

i had this question on my quiz and got it right

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

(03,)(4,4(4,6),(5,10)

Step-by-step explanation:

I’m smart I have an A + so it’s correct

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer: (0, -6)

Step-by-step explanation:

The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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A type of plot shows the median and the data spread about the median is called a boxplot.

A box-and-whiskers plot, also referred to as a boxplot, presents a summarized information such as the median, quartiles, minimum, and maximum values.

It indicates the measure of skewness of a distribution data or how the values are spread out.

It is made up of a box, which lies between the first and third quartiles with the whiskers as line segments extending from the ends of the box to the smallest and largest values that are not outliers.

Attached photo is a figure that illustrates a boxplot.

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From the  X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.

According to the Question:

Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at

(x₁, y₁) = (−5.0cm,−2.5cm).

Now,

The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).  

Now,

The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃)​ = (5cm,−15cm).

(a) The x coordinate of the center of mass for the plate is

   \(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)

            = -0.45 cm

(b) The y coordinate of the center of mass for the plate is

    \(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)

             = -2.0 cm.

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Answer:

50

Step-by-step explanation:

when u add all the angles of a triangle the sum should be 180.. so 65+65 is 130... then u have to subtract 130 from 180 which gives the final answer as 50

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Answer:

44a

Step-by-step explanation:

Because there is no variable other than a, this problem is relatively simple.

1. 8a + 14a = 22a

2. 22a + 27a = 49a

3. 49a - 5a = 44a

Answer:

44a

Step-by-step explanation:

8+14+27-5=44

8a+14a+27a-5a=44a

Answer:

Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

a) Tank A has 5 fishes with a volume of 40 liters.

Volume per fish = 40 liters/5 fishes

= 8 liters/fish

b) Tank B has 12 fishes with a volume of 100 liters.

Volume per fish = 100 liters/12 fishes

= 8.33 liters/ fish

c) Tank C has 23 fishes with a volume of 180,000 milliliters.

Convert 180,000 milliliters to liters

1 milliliter = 0.001 liter

180,000 milliliters = x

x = 180,000ml × 0.001 l

x = 180 liters

Volume per fish = 180 liters/23 fishes

= 7.8260869565 volume per fish

Approximately = 7.83 liters/fish

Which tank has the greatest volume per fish?

The tank that had the greatest volume per fish is Tank B at 8.33 liters/ fish

Two parallel lines in the coordinate system share the same slope, this means that if you have two parallel lines:

For the given equations, the slopes are:

The slopes are different, so this lines are not parallel.

Two lines are perpendicular, when the slope of one of them is the negative inverse of the first one, this is for the perpendicular lines:

For the given equations, using y=17x-8 as reference, the slope of a line perpendicular to this one must be:

The slope of a perpendicular line to y=17x-8 is different from the slope of the second given line, so you can conclude that these lines are not perpendicular.

The correct choice is Neither

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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The probability of hitting the bulls eye (center circle) when we shoot an arrow with radius of the bulls eye is 2ft and the radius of the target is 6ft is 11.1%.

Assuming that we are shooting randomly at the target and the arrow can land anywhere within the target area, the probability of hitting the bull's eye (center circle) can be calculated as the ratio of the area of the bull's eye to the area of the entire target.

The area of the bull's eye can be calculated as follows:

Area of bull's eye = π x (radius of bull's eye)²
Area of bull's eye = 3.14 x 2²
Area of bull's eye = 12.56 square feet

The area of the entire target can be calculated as follows:

Area of target = π x (radius of target)²
Area of target = 3.14 x 6²
Area of target = 113.04 square feet

Therefore, the probability of hitting the bull's eye can be calculated as:

Probability of hitting bull's eye = Area of bull's eye / Area of target
Probability of hitting bulls eye = 12.56 / 113.04
Probability of hitting bulls eye = 0.111 or approximately 11.1%

So, the probability of hitting the bull's eye (center circle) when we shoot an arrow randomly at the target is approximately 11.1%.

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Answer: 1. Smaller than 8 SQUARE ft. 8 ft on one side and 7/8 ft one one side does NOT equal 8 square ft, it is less. It is actually 7ft. 2. 50,343 is the answer to the second question, so less than the number. Explanation: When you multiply a number by a fraction you get less than the number you started with.

Hope this helps

Answer:

7. Option 2 smaller than 8 sq.ft.

8. Less than 67.24

Step-by-step explanation:

7. the fraction 7/8 is proper, i.e. less than the unit, Any number multiplied by a proper fraction is less (reduced).

8. the same reason as the previous one, 3/4 is a proper fraction.

Hope this helps

Assume 5-bit two's complement representation, the operation using the 2's complement operation, the steps and the result in binary -8+(-3) is -10 in two's complement notation.

In two's complement representation, negative numbers are represented by flipping all the bits in the corresponding positive number and adding 1. To perform addition and subtraction operations in two's complement, we follow the regular addition and subtraction rules but with an additional step to handle overflow and underflow. Let's assume 5-bit two's complement representation for this problem.

To add -8 and -3, we need to represent both numbers in two's complement notation.

-8 in binary form is 10000, which is the largest negative number that can be represented in 5-bit two's complement.

Therefore, we cannot represent -8 in 5-bit two's complement, so we need to discard the overflow bit and represent -8 as 00000 (positive zero).

-3 in binary form is 11101.

To get the two's complement of -3, we need to flip all the bits to get 00010 and add 1 to get 00011 (positive 3).

Now we can add 00000 and 00011 using regular binary addition.

00000+00011=00011000 (discarding the overflow bit)= 00110 in binary, which represents the two's complement of 10 in decimal.

Therefore, -8+(-3)=-10 in two's complement notation.

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Answer:

b, c, & d also = 34

Step-by-step explanation:

They all are inscribed angles of the same arc

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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Answer: It is 34$ per one ticket

Step-by-step explanation:

$374 divided by 11 is 34

Answer:

$34 per ticket

Step-by-step explanation:

We were told $374/11tickets.

We are looking for how much per 1 ticket.

Divide to find the per-ticket cost.

Use either 374÷11

374/11 .

374÷11 = 34

This means $34 per ticket.

The options provided, but it is closest to option C ($900). The Annualized Loss Expectancy (ALE) for each threat by multiplying the probability of occurrence by the cost of the loss. However, we are not given the probability of occurrence for each threat, so we cannot calculate the ALE.

Instead, we can use a simplified formula to estimate the amount of loss that the organization should expect for an entire year. This formula is:

Annual Loss = Single Loss Expectancy x Annual Frequency of Occurrence

To calculate the Single Loss Expectancy (SLE), we add up the ALE for each threat:

SLE = ALE threat 1 + ALE threat 2
SLE = $400 + $500
SLE = $900

The Annual Frequency of Occurrence is the number of times the loss is expected to occur in a year. We are not given this information, but we can make an assumption based on the available data.

Assuming that each threat has an equal chance of occurring, the Annual Frequency of Occurrence would be:

Annual Frequency of Occurrence = Total Threats / Total Time
Annual Frequency of Occurrence = 2 / 1 (assuming one year)
Annual Frequency of Occurrence = 2

Now we can calculate the Annual Loss:

Annual Loss = SLE x Annual Frequency of Occurrence
Annual Loss = $900 x 2
Annual Loss = $1800

Therefore, the amount of loss that the organization should estimate for an entire year is $1800. The correct answer is not given in the options provided, but it is closest to option C ($900).

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(a) Cylindrical coordinates for (a): (r, θ, z) = (√162, 3π/4, 9)
(b) Cylindrical coordinates for (b): (r, θ, z) = (√256, 4π/3, 5)

Cylindrical coordinates can be defined as three sets of coordinates used to locate a point in a cylindrical coordinate system. In two dimensions, the position of a point can be expressed in Cartesian and polar coordinates. When polar coordinates are extended to the 3D plane, an additional coordinate is added. Together, these three measurements form cylindrical coordinates. Coordinates define both distance and angle.

The radial distance, azimuth, and height of the plane from a point are expressed in cylindrical coordinates. Cylindrical-coordinate systems can be used to describe systems with rotational symmetry.

To convert from rectangular coordinates to cylindrical coordinates, we use the following equations:

r = sqrt(x^2 + y^2)
theta (θ) = arctan(y/x)
z = z

For part (a), we have the rectangular coordinates (-9, 9, 9). Using the above equations, we get:

r = sqrt((-9)^2 + 9^2) = 9 sqrt(2)
theta = arctan(9/-9) = -π/4 (since the point is in the third quadrant)
z = 9

So the cylindrical coordinates for part (a) are (9 sqrt(2), -π/4, 9).

For part (b), we have the rectangular coordinates (-8, 8 sqrt(3), 5). Using the above equations, we get:

r = sqrt((-8)^2 + (8 sqrt(3))^2) = 16
theta = arctan(8 sqrt(3)/-8) = -π/3 (since the point is in the third quadrant)
z = 5

So the cylindrical coordinate for part (b) is (16, -π/3, 5).

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