Suppose you are traveling the world and want to visit Africa this month. The probability that you go to Africa is 23%. When you get to Africa, you can relax at a bar, a pool, or in your hotel room. The probability you relax at a bar is 19%. Assuming traveling to Africa and relaxing at a bar are independent events, what is the probability that you travel to Africa and relax at a bar? Round to the nearest thousandths

Answers

Answer 1

Answer:

   0.044

Step-by-step explanation:

The joint probability of independent events is the product of their individual probabilities.

  P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044

Answer 2

Answer:

Step-by-step explanation:

Suppose You Are Traveling The World And Want To Visit Africa This Month. The Probability That You Go

Related Questions

WILL AWARD BRAINLIEST AND 5 STAR
2. Marcus is writing the program for a video game. For one part of the game, he uses the rule
(x, y) ➡️ (x + 8, y – 3) to move points on the screen.
(a) What output does the rule give when the input is (-2, 1)? Show your work.
(b) What output does the rule give when the input is (0, -5)? Show your work.
(c) Is the rule a function? Explain why it is or why it is not.

Answers

(a) -2 + 8, 1 - 3
(6, -2)
(b) 0 + 8, -5 - 3
(8, -8)
(c) Yes, the rule is a function because x will never overlap with x and y will never overlap with y, when graphed it passes the vertical line test.

Answer:

I might be getting somthign comfised but here is what I derived from it.

Step-by-step explanation:

Marcus uses a rule of (x+8, y-3). What will be the output if the input is (-2,1) and (0,-5).

If it is going off of the math functions then the outputs would be simple math -

(6, -2) -2+8 and -3+1; (8, -8) 0+8 and -5-3 [if im doing the correct functions].

The X and Y is what gets me when trying to answer if it is a function or not, I would say it is because the x and y values are given and they are their values are substituted, the actual function is adding the 8 to the X and subtracting the 3 from the Y.

Hope this helps some

perform the operation and simplify

Answers

Answer:

[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]

Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square

Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help

A 11 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round the answer to the nearest tenth.

Answers

Check the picture below.

write 2^ 100 as a power with the following base of 16 brianly.
Pls answer quickly

Answers

Answer:

  16^25

Step-by-step explanation:

The applicable relation is ...

  (a^b)^c = a^(bc)

  2^100 = 16^x = (2^4)^x = 2^(4x)

Equating exponents, we have ...

  100 = 4x

  25 = x

Then 2^100 = 16^25.

82.1 / 7.8= What is the answer yall

Answers

Answer:

10.5

Step-by-step explanation:

Hope I helped please mark brainliest if I did and thanks! <3

write the value of the underlined digit in words 6,302,450? 3 being the underlined number.

Answers

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?​

Answers

Answer:

2:1  or  2

Step-by-step explanation:

*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".

 >> therefore 10/5 can be simplified to 2/1 )***

    For every 10 notebooks, there are 5 ballpens.

    Therefore, for every 2 notebooks there is 1 ballpen (The simplification).

EXTRA:  

**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.

  2/1 is not the same as 1/2 **

Please look at picture for question.

Answers

Answer:

Amount spent on breakfest each day: 2B+J

Amount spent on granola bars each day: 2B

Amount spend on juice each day: J

Number of days buys breakfast: 7

help me due today it is math

Answers

Yes I need to know and find the digit that makes 1258 divisible by 9

Answer:

2

Step-by-step explanation:

sum of digits=1+2+5+8=16

smallest term to be added to make it divisible by 9 is 2

∵16+2=18÷9=2

If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?

Answers

Answer:

35.00% increase

Explanation:

[(New value - Old value)/Old value] x 100 = answer
Hope this helps in the future
The person above is correct

All of the points in the picture are on the same line *help asap*

Answers

Answer:

yes all of the points are on the same line

Step-by-step explanation:

The initial population of a town is 3800​, and it grows with a doubling time of 10 years. What will the population be in ​8 years?

Please show step by step!

Answers

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

Plot the point (6, 0) on the coordinate plane.

Answers

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

what is the area of the soccer field if x=40m?
base is 2x+20
height is x+20

Answers

2(40)+20 = 100m
40+20= 60m
100x60= 6000m

no link no bot right please

Answers

9514 1404 393

Answer:

  10.49

Step-by-step explanation:

Since we know 110 = 10² +10, we can make a first approximation to the root as ...

  √10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root

This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.

One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.

  ((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49

An approximation of √110 accurate to hundredths is 10.49.

__

The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.

For n = s² +r, the first approximation is ...

  √n = s +r/(2s+1)

An iterated approximation is ...

  s + r/(s +(s +r/(2s+1)))

The adds 's' to the approximate root to make the new fraction denominator.

For this root, the refined approximation is ...

  √110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49

_____

Additional comment

Any square root can be represented as a repeating continued fraction.

  [tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]

If "f" represents the fractional part of the root, it can be refined by the iteration ...

  [tex]f'=\dfrac{r}{2s+f}[/tex]

__

The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.

what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee

Answers

Answer:

10

Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)

X1=9

X2=9

Y1=-2

Y2=8

Distance= (9-9)²+(-2-8)² (all square root)

=(0)²+(-10)² (all square root)

=0 + 100 (square root)

=100 square root

=10

Christina has these two tiles. Draw a new shape she can create with both tiles. Then name the shape and how many sides the new shape has.


Square and triangle

Answers

Answer:

quadangle

Step-by-step explanation:

a square made of triangles and If a triangle is called a triangle, why is a square not called a quadangle?

Squares and triangles can be combined to form a pentagon

The new shape is a pentagon.The shape has 5 sides.

The two shapes are given as:

SquareTriangle

Where the base of the square equals the side length of the triangle

When these shapes are combined i.e. when the base of the triangle is merged with the side length of the square, then it forms a pentagon.

See attachment for the image of the new shape.

From the attached image, we can see that the shape has 5 sides

Read more about pentagons at:

https://brainly.com/question/9317617

6,600,000,000 exponential notation

Answers

Answer:

6.6 x 10^9

Step-by-step explanation:

Alvin’s family used 18.5 gallons of gas to drive 518 miles. How many miles did they drive per gallon of gas?

Please help me

Answers

Answer:

the answer is 1.2

Step-by-step explanation:

The number of miles Alvin’s family drive per gallon of gas is 28 miles.

Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons

= 518 ÷ 18.5

= 28 miles

Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Simplify.

510√




2√

2√2

10√2

5√

Answers

Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear

Step-by-step explanation:

Answer:

√10/2

Step-by-step explanation:

I took le test

bill planted 4 pecan trees and 2 apple trees what fraction of that is pecan

Answers

Answer:

4          /           6                   or 2/3

pecan           total tree

Answer:

2/3

Step-by-step explanation:

So, Bill planted -

Pecan trees = 4

Apple trees = 2

Total trees = 6

We want the fraction of Pecan trees. Thus,

4/6

Where 4 is Pecan trees, (What we want)

And 6 is the total.

4/6 in its simplest form is 2/3.

I hope it helps.

A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.

Answers

Answer:

at most 17 pitches per inning

Step-by-step explanation:

It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.

We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.

From part (a) we know  3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of  p pitches per inning in the next 3 innings.

If the pitcher can make at most 105 pitches, then:

3 p + 53 ≤ 105 3p+53≤105 ​  

To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:

3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53      

3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]

at most 17 pitches per inning

(Hope this helps can I pls have brainlist (crown)☺️)

plsssss helpppppp i’ll give brainliest

Answers

Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

-
Find the equation of the line that
is parallel to y = 2x – 7 and
contains the point (-3,6).

Answers

Step-by-step explanation:

The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2)  with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) ,   Y-6 = 2[(X-(-3)]  ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

In circle O, what is mArc A E?

Answers

Answer:

Step-by-step explanation:

By using the theorem of secants intersecting externally, Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs. m∠C =. 36° =. 72° = °. …

By using the theorem of secants intersecting externally, Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs. m∠C =. 36° =. 72° = °. …

What is a common denominator for 1 3/4 and 1 4/5

Answers

Answer:

20

Step-by-step explanation:

A common denominator is a number that is a multiple of both denominators.

To find it just write the multiplication table of the numbers and find a number that appears in both of them.

In this case, we have 4 and 5:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.

[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]

What's fish + nine?
I NEED HELP!?

Answers

Answer:

nine fish............

Answer: 9 Fish

Step-by-step explanation:

Solve the equation: q –10 = -10

Answers

Answer:

q=0

Step-by-step explanation:

Answer: q = 0

-----------------------------

q - 10 = - 10

q = 0

<3

I need help on the "the slopes are" part on these 2 plz help

Answers

Answer:

Negative reciprocals

which two expressions are equivalent to 7(t + 5)?


A). 7 • 5 • t

B). 7 • 5 + t

C). 7 • 5 + 7 • t

D). (5 + t) • 7

E). 5(t + 7)



Answers

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

Read more about expressions at :

https://brainly.com/question/12030750

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