Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. The correlation (i.e. whether they tend to occur together, or separately, or are unrelated) between the events is unknown.

What is the maximum probability that both event A and event B will occur?

What is the minimum probability that both event A and event B will occur?

Answers

Answer 1

The maximum probability that both event A and event B will occur is 18%.

How to compute the probability?

From the information, Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. Therefore, the maximum probability will be:

= 90% × 20%

= 18%

The minimum probability that both event A and event B will occur will be:

= (90% + 20%) - 1

= 1.10 - 1

= 10%

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Related Questions

Use the digital text feature to complete the explanation: The 24th Amendment states that citizens of the United States will not be stopped from voting if

they are sick or elderly

Othey are guilty of a crime

Othey are in a political office

Othey do not pay their taxes ​

Answers

D or A not sure

The Twenty-fourth Amendment (Amendment XXIV) of the United States Constitution prohibits both Congress and the states from conditioning the right to vote in federal elections on payment of a poll tax or other types of tax.

Answer:

(D) they do not pay their taxes ​

Step-by-step explanation:

I got it correct on an exam I did.

find the 39th term for the aritmethic sequence, 10,15,20

Answers

because you are increasing by 5, you multiply 39x5
this will equal 195.
because you didn’t start at 5, you have to add 10-5 to your answer.
this will make your answer 200.

The 39th term of the sequence is 200.

What is Arithmetic Sequence?

Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.

The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.

Arithmetic sequence is usually represented as

a, a + d, a + 2d, ........, a + (n - 1)d

The nth term of an arithmetic sequence, aₙ is given by the formula,

aₙ = a + (n - 1) d

where, a is the first term and d is the common difference.

The given sequence is 10, 15, 20, ......

a = 10

d = 15 - 10 = 5

Here, we have to find the 39th term of the sequence.

a₃₉ = 10 + (39 - 1) 5

     = 10 + (38 × 5)

     = 10 + 190

     = 200

Hence, the 39th term of the progression 10, 15, 20,..... is 200.

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100+200x300=what is the answer

Answers

Answer:

100+200×300 = 60100

Step-by-step explanation:

According to the BODMAS, the order to solve any question is as follows

B - Brackets

O - Order

D - Division

M - Multiplication

A - Addition

S - Subtraction.

in the above expression Addition and multiplication two different operations are functioning. According to BODMAS the multiplication expression will be solved first, that outputs.

200×300 = 60000

after calculating correctly we have to operate second function i.e. addition and add 100 to the above result,

60000+100 = 60100

[tex]{Answer = 60100}[/tex]

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6/5 + ? = 27/10? Help me pls

Answers

[tex]\cfrac{6}{5}~~ + ~~\boxed{?}~~ = ~~\cfrac{27}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{6}{5}~~ + ~~\boxed{?} \right)~~ = ~~10\left( \cfrac{27}{10} \right)}\implies 12+10\boxed{?}=27 \\\\\\ 10\boxed{?}=15\implies \boxed{?}=\cfrac{15}{10}\implies \boxed{?}=\cfrac{3}{2}[/tex]

A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.

What is the surface area of the actual ramp, including the underside?

Enter your answer as a decimal in the box.

yd²
Right triangular prism. Each base is a triangle whose legs are 13 in, 13 in, and 24 in. The height of the triangles is 5 in. The prism is oriented so that the side labeled 24 in is on the bottom. The distance between the bases is labeled 12 in.

Answers

Answer:

The answer is 7.2

The surface area of the actual ramp, including the underside is 16.8 ft²

H1 = 1.2 feet (height of the actual ramp)

and, H2 = 6 cm (height of the model)

The scale factor (k) is:

k = 1.2 feet / 6 cm

k = 0.2 ft/cm

The actual measurements would be:

16cm = 16 cm x 0.2 ft/cm = 3.2 ft

and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,

and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,

So, the surface area is

Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)

Area = 16.8 ft²

Hence, the surface area of the actual ramp is 16.8 ft²

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Y varies inversely as x: y=13, when x=3

Answers

Answer:

I'm not to sure of this answer

Jeremiah answered 20 out of 25 questions correctly on the math test. What percent of the questions did Jeremiah answer correctly?

Answer, explain and setup problem.

Answers

=20/25*100%
=2000/25%
=80%
Therefore she answered 80% answer correctly

The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619, $379, $895, $1,256, $1,052
a. What is the median of the first half of the data? (first quartile)

Answers

The price of the refrigerators that is the median for the first half of the data is $498.

What is the median of the first half of the data?

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256

The first half of the prices are $379, $498, $619,

Median = $498

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If HI = IJ = 14 and GH = 12, what is HJ?​

Answers

Answer:

24 units

Step-by-step explanation:

Missing drawing but assumed that:

HI and IJ are equal sides of the isosceles triangle HIJIG is the perpendicular bisector of same triangle

Since G is the midpoint of HJ, we have:

GH = GJ = 12

So

HJ = 2*GH = 2*12 = 24

Answer:

24 units

Step-by-step explanation:

IJ = 14 and GH = 12

Gh=gj=12

Hj=2gh

2*12=24

A company interviewed 21 applicants for a recent opening. Of these applicants, 7 wore blue and 6 wore white, while 5 applicants wore both blue and white. What is the number of applicants who wore neither blue nor white?
A.1
B.6
C.12
D.13

Answers

Answer: D

Step-by-step explanation:

21=7+6+neither-5

7+6=13-5=8

21-8=13

find the second derivative of 2x^3-3y^2=8​

Answers

Answer:

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

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

[tex]2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}[/tex]

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

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

what is the effect on the graph of y=-2x+7 if the slope changes to 2

Answers

In y=-2x+7 the graph will rise from right to left while in y=2x+7 the graph will rise from left to right. Which gives us in conclusion of the slope is negative the graph line will rise from right to left and if positive then left to right

13, 19, 25, ...
Find the 48th term.

Answers

Answer:

so you should add 6 to 13 in case to find 19, then add 6 to 19 to get to 25.

so the first is 13 and we keep adding 6 to get to the answer. we do it 47 times. so we have 13+ (6) (47) = 295 which is the 48th term.

The 12th term of the arithmetic sequence13, 19, 25,... is 79.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, an arithmetic sequence 13, 19, 25,...

The first term a₁ = 13 and the common difference is = (25 - 19) = (19 - 13) = 6.

We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1).d.

∴ The 12th term of this arithmetic sequence is a₁₂ = a₁ + (12 - 1).d

a₁₂ = 13 + (12 - 1).6.

a₁₂ = 13 + 11.6

a₁₂ = 13 + 66.

a₁₂ = 79.

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Find a function for the graph below.
a. f(t) = 3 cos 41
b. ft) = 8 sin 3t
fit) = 3 sin 41
d. (t) = 3 cos 6

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The given function has Amplitude of 3, and by seeing it we can conclude that it's a sine function.

Therefore, we can conclude that the required Answer is ~

[tex]\qquad \sf  \dashrightarrow \:c. \: f(t) = 3 \sin(4t) [/tex]

The sinusoidal function is represented as y = 3 sin 4t. Then the correct option is C.

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The sine function is given as

y = A sin (wt + Ф)

where A is the amplitude, w frequency, and Ф is the phase difference.

From the graph, the value of the amplitude will be 3, the frequency will be 4, and the phase difference will be 0. Then the equation will be

y = 3 sin4t

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I need help with this question

Answers

Answer:

Length: 20, Width=34

Step-by-step explanation:

Say the length of the width is w, and the length of the length is l. Then, we can establish an equation of W=2L-6. Since the area of a rectangle is W*L, we can substitute W with 2L-6. If we multiply 2L-6 and L, we get [tex]2L^{2} -6L[/tex]=680. We can simplify this equation by dividing everything by 2. We then get [tex]L^{2}-3L=340[/tex]. If we solve for L, we get 20. Now, we plug 20 into the equation, W=2L-6. Since W=2(20)-6, which simplifies to W=40-6 which is 34, we get a width of 34.

Hope this helps

In your own words describe how to find the perimeter of a shape with fractional sides used the rectangle below to example

Answers

Answer:

U add both side of the shape to get the fractional

Step-by-step explanation:

I just did this not to long ago

how do I not know 4th grade math I really am 0iq

Answers

C
Just multiply 20 times the amount of a certain fabric used to make 1 toy
For example
Cristian uses 3/8 sheet of red to make one toy so multiply 3/8 by 20 and you get 7.5 but since you are calculating the number of full sheets they need you will round up to 8 sheets of red fabric

Answer:

C)  8 sheets of red and 13 sheets of yellow felt

Step-by-step explanation:

Red felt

Red felt needed for 1 toy = 3/8 sheet

⇒ Red felt needed for 20 toys = 20 × 3/8 sheets

[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]

Therefore, 8 complete sheets of red felt are needed.

Yellow felt

Yellow felt needed for 1 toy = 5/8 sheet

⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets

[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]

Therefore, 13 complete sheets of yellow felt are needed.

The function h(x) is a transformation of the square root parent function,
f(x) = V. What function is h(x)?

Answers

Answer:

Step-by-step explanation:A. h(x) = √(x-2)

Step-by-step explanation:

To translate a function right by p units and up by q units, the function becomes ...

g(x) = f(x -p) +q

Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...

(p, q) = (2, 0)

h(x) = f(x -2) +0

h(x) = √(x -2)

The function h(x) , a transformation of the parent function f(x) = √x is √(x+1). Option A is correct option.

What is transformation of a function?

The transformation of the function is a function that curves a graph formed by the moving the original graph to left / right / up / down or by expansion or compression.

The transformation is of type horizontal shift when the curve moves to left or right. For y = f(x) , when this curve moves left or right the transformation  is given by y = f(x +c), c > 0 moves y=f(x) to the left by c units

and if c < 0 , moves  y =f(x) to the right by c units

Given that the graph of the f(x) = √x by dotted line and the graph of its transformation h(x) given by solid line.

h(x) is clearly formed by moving f(x) one units to the left as it is moved to left by 1 on origin

Then transformation of y =f(x) moving one unit to left will be given by

y = f(x+1) =√(x+1)

Therefore , transformation h(x) of f(x) is h(x) =√(x+1) and option A is correct option.

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An artist has completed 1/4
of a penting in 2 weeks. At what rate is she working?

Answers

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2 = 0.125

0.125 as a decimal is 1/8

Explain how using a line plot will help you to collect data

Answers

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

and please dont forgets to markas BRAINLIEST answer please

The collection of all equally likely outcomes is known as the

Answers

Answer:

The Sample space

Step-by-step explanation:

The collection of all equally likely outcomes is known as the- the sample space.

pls help me in this math problem​

Answers

Answer:

cUse the following equation

Step-by-step explanation:

Because of the way these angles are positioned, they must be equal to 180 together

(2x + 5) + (0.5x + 150) = 180

2.5x + 155 = 180

- 155 - 155

2.5x = 25

2.5x/2.5 = 25/2.5

x = 10

Put x into the original equations and solve

estimate the product 8.1 times 4.2

Answers

Answer:

Approximately 32

Step-by-step explanation:

8.1 is closest to 8

4.2 is closest to 4

Thus, you can estimate the product to be 8*4=32

The actual product is 8.1*4.2=34.02, so it's about 2 greater than the estimated product

Please Help.........
What is the equation of the given line in the point-slope form?


A.
= - + 1
B.
+ = 1
C.
+ + 1 = 0
D.
4 = 3 + 1
E.
– 4 = 1( – 3)

Answers

hello!

[tex]============================[/tex]

First, let's use the Slope Formula to find the slope:

[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]

[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]

Which simplifies to

[tex]\pmb{1}[/tex]

So the slope is 1.

Now, here's a point that the line passes through:

(0, 1)

Write the equation in point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

y-1=1(x-0)

================================================

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard​

Answers

Answer:

I think you meant cm, not em. So the answer is 6 cm.

Step-by-step explanation:

18cm x 6cm = 108 cm

Which statements are true about the figure? Check all that apply.

A net has 3 rectangular faces and 2 triangular faces.
The figure is a triangular prism.
The figure is a rectangular pyramid.
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.

Answers

Answer:

Step-by-step explanation:

The figure is a triangular prism.

The figure has 6 vertices.

The figure had 9 edges.

Vertex: The meeting point of two edges is called vertex

Edge: The meeting point of two faces is called an edge.

The longest worm is blank times as long as the shortest worm

Answers

the answer is 2 times

How can I find the value of X?​

Answers

Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

→ 12 cm.
3,5cm.
16cm.
>3.5cm.
Find the total
Volume.



Can someone please help me

Answers

Answer:

Step-by-step explanation:

CONE:

height of cone = h =  12 cm

r =3.5 cm

[tex]Volume \ of \ cone =\dfrac{1}{3}\pi r^{2}h[/tex]

                           [tex]=\dfrac{1}{3}*\dfrac{22}{7}*3.5*3.5*12\\\\\\=22*0.5*3.5*4\\\\= 154 \ cm^{3}[/tex]

Cylinder:

h = 16 cm

r = 3.5 cm

[tex]Volume \ of \ cylinder = \pi r^{2}h\\[/tex]

                                [tex]= \dfrac{22}{7}*3.5*3.5*16\\\\\\= 22*0.5*3.5*16\\\\= 616 \ cm^{3}[/tex]

Total volume = 154 + 616

                       = 770 cm³

How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually

Answers

P=400 (your amount invested)
r=.02 (rate as a decimal)
n=1 (number of times compounded per year, annually meaning 1)
t=6 (number of years invested)

you must follow orders of operations when you plug these things in your calculator.
1st step) do .02/1 to get 0.2 then add 1 to get 1.02. raise this to (1*6)and you get roughly 1.126, now multiply this by 400 to get answer D 450.46.
Answer:

450.46497

Step-by-step explanation:Based on the given condition:

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]

________________________________________________

Formulate and substitute:

[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]

[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]

_________________________________________________

Evaluate

[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]

I hope this helps you

:)

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