what is the probability that either event will occur?

Answer:

I hope that will be helpful

Answer:

what do you need to do

Step-by-step explanation:

?

Answer:

y - 7 = 1/2(x + 4)

Step-by-step explanation:

Point-Slope Form: y - y₁ = m(x - x₁)

Step 1: Define

Slope m = 1/2

Point (-4, 7)

Step 2: Substitute

y - 7 = 1/2(x + 4)

Answer:

5n - 3

Step-by-step explanation:

3 less then 5 time a number (n)

first of all we know were subtracting

-3

and were multiplying 5 and a number

5n

in my mind the one thing that makes sense is

5n - 3

but the problem can be switched

-3 + 5n

[tex]\boxed{5n-3}[/tex]

Answer: To interpret this expression, we first identify that "3 less than 5" means that we are subtracting 3 from 5. Our equation looks like this:

5 - 3

Now, we add the variable. We would put n in front of 5, because the problem says "5 times a number n." It now looks like:

5n - 3

Your answer would be option A.

Answer:

m = -4

b = -12

Step-by-step explanation:

First, identify the slope-intercept form:

y = mx + b

y = -4x - 12

Whereas m = slope and b = y-intercept.

Slope is the steepness of the line.

The y-intercept is where the line intersects the y axis.

Answer:

95 percent decrease

Step-by-step explanation:

2000/100=5 percent. This means that for every 100 decrease, the percent decrease is 5 percent.

Since it decreased by 1900, 19 hundreds x 5 =95 percent decrease

If you liked my answer, a brainliest would much be appreciated! Thanks!

The value of 2,000 is decreased to 100. Then the percentage of decrease will be 95%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The value of 2,000 is decreased to 100. Then the percentage of decrease will be given as,

P = [(2,000 - 100) / 2,000] x 100

Simplify the expression, then we have

P = [(2,000 - 100) / 2,000] x 100

P = [1,900 / 2,000] x 100

P = 0.95 x 100

P = 95%

The value of 2,000 is decreased to 100. Then the percentage of decrease will be 95%.

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Answer:

Area of the floor not covered = 240ft²

Step-by-step explanation:

Find the diagram attached

The area of the floor not covered = area of the office floor - area of the rug covered

Area of the office floor = 7in×5in = 35in²

Area of the rug = 5in×4in = 20in²

Area of the floor not covered = 35in²-20in² = 15in²

Since 1in = 4ft

1in² = 16ft²

Given the area of the floor not covered to be 15in²

In square feet will be 16×15 = 240ft²

Answer:

A line is a simple geometric shape that extends in both the directions, but a line segment has two defined endpoints. Both the figures are also different from a ray, as a ray has only one endpoint and extend infinitely in one direction.

Step-by-step explanation:

Answer:

always

Step-by-step explanation:

Indirect proof.

Answer:

Always.

The only way an irrational number can become rational is if it’s multiplied by a irrational number.

Hope this helps!

(Sorry if I am wrong, I do apologize in advance, but if I'm right, Yay!)

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Answer:

4x-15+6x-35=180

Step-by-step explanation:

4x−15+6x−35=180

Step 1: Simplify both sides of the equation.

4x−15+6x−35=180

4x+−15+6x+−35=180

(4x+6x)+(−15+−35)=180(Combine Like Terms)

10x+−50=180

10x−50=180

Step 2: Add 50 to both sides.

10x−50+50=180+50

10x=230

Step 3: Divide both sides by 10.

10x/10=230/10

Answer:10x

Step-by-step explanation: 6x+4x=10x

Answer:

The answer for question 2 is, 3/8. The answer for question 3 is, 2/1.

Step-by-step explanation:

Question 2.

Since all the numerators are the same, the fraction with the smallest denominator is the largest. This means 3/8 is the answer.

Question 3.

Since all the denominators are one or the same, the smallest numerator is the answer. This means 2/1 is the answer.

Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]   [tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}[/tex]

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

[tex]\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}[/tex]

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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Answer:

y = 0.6028x+103.34929

*y=mx+b*

Answer:

3

Step-by-step explanation:

15:5

9:HE

15/5 = 9/HE

15HE = 45

HE = 3

Answer:

the correct estimate of the weight of Errol's backpack would be 33

Step-by-step explanation:

you just need to add 10 and 23.

Answer:

a(n-3)+8=bn

Step 1: Add -bn to both sides.

an−3a+8+−bn=bn+−bn

an−bn−3a+8=0

Step 2: Add 3a to both sides.

an−bn−3a+8+3a=0+3a

an−bn+8=3a

Step 3: Add -8 to both sides.

an−bn+8+−8=3a+−8

an−bn=3a−8

Step 4: Factor out variable n.

n(a−b)=3a−8

Step 5: Divide both sides by a-b.

n(a−b)

a−b

=3a−8/a−b

n=3a−8/a−b

Answer:

n=3a−8/a-b

Answer:

20 inches

Step-by-step explanation:

a square has 4 equal sides, so you can add 5+5+5+5 to find the sum of all the side lengths.

Answer:  43.75 of 225 will be the price. so 98.4375 after being rounded it is 98.4

Step-by-step explanation:

Answer:

x>1/2

Step-by-step explanation:

2x+1−8x<8x−2−8x

−6x+1<−2

−6x+1−1<−2−1

−6x /−6 <

−3 /−6

x>1/2

Answer:

19 square units

Step-by-step explanation:

There are a LOT of different ways to solve this problem, most of which involve breaking up the shape into smaller shapes.  For me, it’s easier to draw a rectangle around the figure, find that area, and then subtract the four areas not in the figure.

Rectangle: would be from -3 to 3 (6) and -2 to 4 (6).  6x6=36

The four missing triangles:

AB = 1/2(3)(2)=3

BC = 1/2(2)(4)=4

CD = 1/2(2)(4)=4

DA = 1/2(4)(3)=6

6+4+4+3=17

36-17=19

1. This task would likely be framed as a supervised learning problem

2. This task would also be framed as a supervised learning problem.

3. This task would typically be framed as an unsupervised learning problem.

4. This task would likely be framed as a regression problem since the goal is to estimate the repair time,

5. This task can be considered as an unsupervised learning problem.

Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers):

This task would likely be framed as a supervised learning problem. The goal is to predict whether to approve or reject a loan application based on the given data. Hence, it can be considered a classification problem.

In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions:

This task would also be framed as a supervised learning problem. The goal is to recommend additional items to customers based on their buying patterns. It can be approached as a recommendation system using collaborative filtering techniques, which involve predicting customer preferences. This can be considered a classification problem.

Identifying segments of similar customers:

This task would typically be framed as an unsupervised learning problem. The objective is to identify groups or clusters of similar customers based on their attributes or behaviors. Unsupervised learning algorithms such as clustering can be used to accomplish this task.

Estimating the repair time required for an aircraft based on a trouble ticket:

This task would likely be framed as a regression problem since the goal is to estimate the repair time, which is a continuous variable. Supervised learning techniques such as regression algorithms can be employed to predict the repair time based on the provided input features.

Automated sorting of mail by zip code scanning:

This task can be considered as an unsupervised learning problem. The aim is to sort mail based on zip codes, which involves grouping similar items together. Unsupervised learning algorithms like clustering can be utilized to identify patterns and group the mail accordingly.

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The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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Answer:

[tex]\frac{d^2y}{dx^2}_{(-2, -1)}=\frac{1}{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]2y^2+2=x^2[/tex]

And we want to find d²y/dx² at the point (-2, -1).

So, let's take the derivative of both sides with respect to x:

[tex]\frac{d}{dx}[2y^2+2]=\frac{d}{dx}[x^2][/tex]

On the left, let's implicitly differentiate:

[tex]4y\frac{dy}{dx}=\frac{d}{dx}[x^2][/tex]

Differentiate normally on the left:

[tex]4y\frac{dy}{dx}=2x[/tex]

Solve for the first derivative. Divide both sides by 4y:

[tex]\frac{dy}{dx}=\frac{x}{2y}[/tex]

Now, let's take the derivative of both sides again:

[tex]\frac{d}{dx}[\frac{dy}{dx}]=\frac{d}{dx}[\frac{x}{2y}][/tex]

We will need to use the quotient rule:

[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]

So:

[tex]\frac{d^2y}{dx^2}=\frac{\frac{d}{dx}[(x)](2y)-x\frac{d}{dx}[(2y)]}{(2y)^2}[/tex]

Differentiate:

[tex]\frac{d^2y}{dx^2}=\frac{(1)(2y)-x(2\frac{dy}{dx})}{4y^2}[/tex]

Simplify:

[tex]\frac{d^2y}{dx^2}=\frac{2y-2x\frac{dy}{dx}}{4y^2}[/tex]

Substitute x/2y for dy/dx. This yields:

[tex]\frac{d^2y}{dx^2}=\frac{2y-2x\frac{x}{2y}}{4y^2}[/tex]

Simplify:

[tex]\frac{d^2y}{dx^2}=\frac{2y-\frac{2x^2}{2y}}{4y^2}[/tex]

Simplify. Multiply both the numerator and denominator by 2y. So:

[tex]\frac{d^2y}{dx^2}=\frac{4y^2-2x^2}{8y^3}[/tex]

Reduce. Therefore, our second derivative is:

[tex]\frac{d^2y}{dx^2}=\frac{2y^2-x^2}{4y^3}[/tex]

We want to find the second derivative at the point (-2, -1).

So, let's substitute -2 for x and -1 for y. This yields:

[tex]\frac{d^2y}{dx^2}_{(-2, -1)}=\frac{2(-1)^2-(-2)^2}{4(-1)^3}[/tex]

Evaluate:

[tex]\frac{d^2y}{dx^2}_{(-2, -1)}=\frac{2(1)-(4)}{4(-1)}[/tex]

Multiply:

[tex]\frac{d^2y}{dx^2}_{(-2, -1)}=\frac{2-4}{-4}[/tex]

Subtract:

[tex]\frac{d^2y}{dx^2}_{(-2, -1)}=\frac{-2}{-4}[/tex]

Reduce. So, our answer is:

[tex]\frac{d^2y}{dx^2}_{(-2, -1)}=\frac{1}{2}[/tex]

And we're done!

Answer:

-24

Step-by-step explanation:

Step 1: Define

7h - 4h + 3

h = -9

Step 2: Simplify

3h + 3

Step 3: Substitute and Evaluate

3(-9) + 3

-27 + 3

-24

Answer:

-24

Step-by-step explanation:

7h - 4h + 3

Combine like terms

3h+3

Let h=-9

3(-9) +3

-27+3

-24

Answer:

224

Step-by-step explanation:

56 x 4 = 224 (aka 100%)

Sorry I can't explain more, but I hope this helps!

Answer:

224

Step-by-step explanation:

The rotation that would cause the triangle below the map onto itself is a 360° rotation.

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

Rotation is a type of transformation that involves the flipping of a figure about a fixed point.

The rotation of a point by 360 degrees can be represented by the transformation (x, y) ⇒ (x, y). It maps itself

The rotation that would cause the triangle below the map onto itself is a 360° rotation.

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The expression given involves various terms and operations. To simplify it completely, each term needs to be evaluated and simplified. The given expression includes square roots, fractions, and exponentiation.

a. To simplify 16a, we need more information about the variable 'a' to provide a specific answer.
b. The expression 18² can be simplified as 324, since 18 squared equals 324.
c. For 26/(6 - √2), we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is 6 + √2. Simplifying this will result in (26(6 + √2))/(36 - 2) = (156 + 26√2)/34 = (78 + 13√2)/17.
d. SA²²¹ is an unknown term, so it cannot be simplified further without additional information.
e. The expression 5 - √(101) is already in its simplest form, since the square root cannot be simplified further.
f. The expression 12(2/2)(KE83) can be simplified as 12 * 1 * KE83 = 12KE83, assuming KE83 represents a known quantity.
In summary, the given expression involves various terms, some of which can be simplified, while others require additional information or are already in their simplest form.

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Answer:

4 3/5

Step-by-step explanation:

Answer:

4 3/5

Step-by-step explanation:

How many 5s are in 23?

4 whole 5s and 3 left over.

23/5 = 4 3/5

Answer:

32

Step-by-step explanation:

Answer:

yes it is.

Step-by-step explanation:

because there isn't any repeated x.

so it is a function.