if B c A, An B' = (1, 4, 5) and AUB= (1, 2, 3, 4, 5, 6) find B

Answer:

center

Step-by-step explanation:

The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

3/6 and 1/2

Step-by-step explanation:

If you divide each side of the fraction by 2 it will give you 1/2.

The fraction 3/6 has 6 in the denominator, and it is equivalent to 1/2 in which 6 is not in the denominator.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

As we know, we can write a fraction in the form of p/q where p is the numerator and q is the denominator.

Here q = 6

So the fraction:

= p/6

Let's suppose p = 3

So the fraction becomes:

= 3/6

Divide by 3 on numerator and denominator:

= 1/2

Thus, the fraction 3/6 has 6 in the denominator, and it is equivalent to 1/2 in which 6 is not in the denominator.

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Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.

It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.

In this problem, the interval is [0.726, 0.780], hence, the estimate is of:

(0.726 + 0.78)/2 = 0.753

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The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

The diameter is 22cm

Step-by-step explanation:

I dont know if thats what the question is asking but here

Answer:

Diameter- 22cm, circumference - 69.08cm

Step-by-step explanation:

How we find the diameter is we simply multiply the radius by 2 and get 22.

How we find the circumference is we use the diameter and multiply it by pi (3.14) and get 69.08cm.

I wasn't to sure what you were asking here but I did the circumference and the diameter.

Answer:

0.26684

Step-by-step explanation:

Given that :

Mean, μ = 62.5

Standard deviation, σ = 1.96

P(Z ≥ 63.72)

The Zscore = (x - μ) / σ

P(Z ≥ (x - μ) / σ)

P(Z ≥ (63.72 - 62.5) / 1. 96) = P(Z ≥ 0.6224)

P(Z ≥ 0.6224) = 1 - P(Z < 0.6224)

1 - P(Z < 0.6224) = 1 - 0.73316 = 0.26684

Answer:

the slope is -2 or -2/1

the y-intercept is 3

y=-2x+3 or y=-2/1x+3

Step-by-step explanation:

Answer: EA & FG

Step-by-step explanation:

Answer:

EA

FG

EAStep-by-step explanation:

Answer:

ss

Step-by-step explanation:

sss

Answer:

1/2

Step-by-step explanation:

No matter how many times you get tails or heads it will always be 50/50

Check the picture below.

let's change the decimal amounts to fractions, so for 3.5 let's use 7/2 and for 1.5 let's use 3/2, let's use the proportion on the left side and then the next one after

\(\cfrac{3.5}{2x+7}=\cfrac{x-1.5}{8}\implies \cfrac{~~ \frac{7}{2}~~}{2x+7}=\cfrac{x-\frac{3}{2}}{8}\implies \cfrac{~~ \frac{7}{2}~~}{\frac{2x+7}{1}}=\cfrac{\frac{2x-3}{2}}{\frac{8}{1}} \\\\\\ \cfrac{7}{2}\cdot \cfrac{1}{2x+7}=\cfrac{2x-3}{2}\cdot \cfrac{1}{8}\implies \cfrac{7}{4x+14}=\cfrac{2x-3}{16} \\\\\\ 112=8x^2-12x+28x-42\implies 0=8x^2+16x-154 \\\\\\ 0=2(4x^2+8x-77)\implies 0=4x^2+8x-77\implies 0=(2x-7)(2x+11) \\\\\\ 7=2x\implies \boxed{\cfrac{7}{2}=x}\)

now, let's notice that we didn't use the 2x+11, since that gives us a negative "x" and "x" cannot be a negative value.

\(\cfrac{3.5}{x-1.5}=\cfrac{y}{x+6}\implies \cfrac{~~\frac{7}{2}~~}{\frac{7}{2}-\frac{3}{2}}=\cfrac{y}{\frac{7}{2}+6}\implies \cfrac{~~ \frac{7}{2}~~}{2}=\cfrac{y}{~~\frac{19}{2}~~} \\\\\\ \cfrac{7}{4}=\cfrac{2y}{19}\implies 133=8y\implies \cfrac{133}{8}=y\implies 16\frac{5}{8}=y=BC\)

Answer:

○ \(\displaystyle [\frac{1}{2}, ∞[\)

Step-by-step explanation:

All you want to do is set the radical equal to zero to determine your domain, and sinse substituting \(\displaystyle \frac{1}{2}\) in for \(\displaystyle x\) would make this 0, it would be the INCLUDED endpoint, so your bracket faces \(\displaystyle \frac{1}{2},\) then continues on infinitely.

I am joyous to assist you at any time.

**The ONLY time this is not the case is when you have a rationale-radical function, in which you must never have 0 in the denominatour.

Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6  + b

Then b must be -5, and so the desired new equation is

y = x - 5

The SI units of a, b, and c are meters, meters per second and meters per second squared

In this particular equation, x = a + bt + ct², the variables are x and t, which represent the position of an object and the time it takes to reach that position, respectively. However, there are also three constants in this equation, represented by the letters a, b, and c. These constants have their own units, which we'll explore in more detail below.

Starting with a, we can see that it represents the initial position of the object at t = 0. Therefore, its unit must be meters (m), which is the same unit as x. This makes sense, as both x and a represent positions along the same axis.

Moving on to b, we see that it represents the velocity of the object at any given time. Velocity is defined as distance traveled per unit of time, so its unit must be meters per second (m/s). This makes sense, as b represents the rate at which the position of the object is changing over time.

Finally, we have c, which represents the acceleration of the object at any given time. Acceleration is defined as change in velocity per unit of time, so its unit must be meters per second squared (m/s²). This makes sense, as c represents the rate at which the velocity of the object is changing over time.

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Answer:-8 and 2

Step-by-step explanation:

graph it

Answer:

12 windows

When there are arrays, you always do multiplication.

4 windows x 3 rows = 12 windows.

Hope it helps!

Answer:

16

Step-by-step explanation:

Please see attached photo for diagrammatic explanation.

Note: r is the radius

Using pythagoras theory, we can obtain the value of 'x' in the attached photo as shown:

|EB|= x

|FB| = 10

|EF| = 6

|EB|² = |FB|² – |EF|²

x² = 10² – 6²

x² = 100 – 36

x² = 64

Take the square root of both side.

x = √64

x = 8

Now, we can obtain line AB as follow:

|AB|= x + x

|AB|= 8 + 8

|AB|= 16

Therefore, line AB is 16

The best approximation of the number of bytes that Rhonda's USB drive can hold is 8 x \(10^9\) B.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.

Given:

We have Rhonda has a USB drive that can hold 8, 000, 000, 000 B.

In Scientific Notation the decimal point should be placed just after one number and the number of extra zeroes raised to power.

Here we have 9 zeroes after 8 then the Scientific Notation is

= 8, 000, 000, 000 B.

= 8 x \(10^9\) B

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Answer:

0.58 ft

Step-by-step explanation:

I asked Siri how many ft are in 7 inches it doesn’t take much effort

☁️ Answer ☁️

Here's what I found:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Here's the link:

https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.

Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho

(Just remove the space)

Hope it helps.

Have a nice day noona/hyung.

Answer:

Well I‘ll try verbal explanation, if you still don’t understand, jsut leave a comment and Ill put some images up.

Step-by-step explanation:

Alright so in order to find a slop of a graph theres a rise and run feature for every plot on the point thats exactly on a number.

The rise is going up, the run is going right.

So in order to find the slope of a semi easy graph, start by looking for a point plotted on the line thats exact and you have to rise first untill you see another plot and then run to that point, The amount of times you raised is your numerator and the amount ran is the denominator.

For hard graphs locate 2 points that are exact.

Then you follow the equation for every slope which is

(y2-y1 / x2-x1)

So for example you have the points (1,2) and (3,6)

y1= The first y coordinate given (the first part of the pair)

y2= The second y-coordinate given (the second part of the second pair)

x1= The first x coordinates given

x2= the second x coordinate given

so if we use the previous example stated above (1,2) and (3,6)

y1= 2

y2= 6

x1= 1

x2=3

Now use the formula (y2-y1 / x2-x1)

Subsitute

6-2 / 3-1

4/2

the slope would be 2.

This formula works for every 2 points given.

Answer:

1 question : 0.89 I think.

Answer:

2. 0.51

3. 1.5

4. 0.99

5. 0.66

6. 0.79

7. 5.2

8. 4.86

9. 4.3

10. 1.5

11. 5.84

Hence the value of c = 4 in [3,5] for Rolles theorem.

Rolle's Principle

If a function f is defined in the closed interval [a, b] in a manner that meets the requirements listed below.

The interval [a, b] is closed and the function f is continuous.

ii) On the open interval, the function f can be differentiated (a, b)

iii) If f (a) = f (b), then at least one value of x exists; in this case, let's assume that this value is c, which is situated between a and b, i.e. (a c b), in such a way that f'(c) = 0.

There exists a point x = c in (a, b) such that f'(c) = 0 if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).

let f(x)=x²-8x+12 in [3,5]

i) f(x) is continuous in closed interval [3,5] because f(x) is algebraic function.

ii) f(x) is differentiable in the open interval (3,5) since the algebraic function is differentiable.

now f(3)=3²-8*3+12

f(3)= 9-24+12

f(3)= -3

f(5) = 25-40+12

f(5)= - 3

f(3) = f(5)

f'(x)= 2x-8

x=c ,c in [3,5]

f'(c)= 2c-8

2c-8=0

c=4

Hence the value of c = 4 in [3,5] for Rolles theorem.

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The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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a. The mass of the apple is approximately 33.879 grams.

b. The volume of the apple increases by approximately 1.454 cubic inches during the five-week period.

a. To find the mass of the apple, we need to calculate its volume first. The circumference of the apple can be used to determine its radius.

The formula for the circumference of a circle is C = 2πr,

where C is the circumference and r is the radius.

Rearranging the formula, we have r = C / (2π).

Plugging in the given circumference of 6 inches.

we get r = 6 / (2π) ≈ 0.955 inches.

Now, we need to convert the radius from inches to centimeters since the density is given in grams per cubic centimeter.

Since 1 inch is approximately 2.54 centimeters, the radius in centimeters is \(0.955 \times 2.54\)  ≈ 2.427 cm.

Next, we can calculate the volume of the apple using the formula for the volume of a sphere: V = (4/3)πr³.

Plugging in the radius in centimeters, we get

V ≈ (4/3)π(2.427)³ ≈ 73.682 cm³.

Finally, we can find the mass of the apple by multiplying the volume by the density:

mass = volume \(\times\) density

= 73.682 cm³ \(\times\) 0.46 g/cm³

≈ 33.879 grams.

Therefore, the mass of the apple is approximately 33.879 grams.  

b. The volume of a sphere increases with the cube of its radius.

Since the radius increases by 1/8 inch per week for five weeks, the change in radius would be\((1/8) \times 5 = 5/8 inch.\)

Now, let's calculate the change in volume during the five-week period. The formula for the volume of a sphere is V = (4/3)πr³.

Initially, the radius was 0.955 inches.

After five weeks, the radius would be 0.955 + 5/8 inches.

To compare the change in volume, we can calculate the new volume and find the difference:

Change in Volume = New Volume - Initial Volume

Initial Volume = (4/3)π(0.955)³

New Volume = (4/3)π(0.955 + 5/8)³

By subtracting the initial volume from the new volume, we can determine how the volume changes during the five-week period.

Please note that the exact calculation will depend on the precise values used for π and the measurements provided.

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Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

Answer:

A

Step-by-step explanation:

Y

Answer:

Your answer

56100 per person

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Answer:

\(f^{-1}(y) = \sqrt{x-5}\)

Step-by-step explanation:

You have to switch the f(x) to x and the x's to y's

\(x = y^2 + 5\)

\(\sqrt{x-5} = \sqrt{y^2}\)

\(y = \sqrt{x - 5}\)