A standard number cube is rolled. Calculate: P(rolling 1 or 3)

Answers

Answer 1

Answer:

the probability is:

P(A) 2/6 =1/3

Now let's take rolling a prime number:

A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:

2, 3 and 5. The probability of getting a prime number in a single roll is:

P(B) =3/6=1/2

Now to calculate the probability of A and B

you have to multiply both probabilities:

P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6

Step-by-step explanation:)


Related Questions

Kristen auto wash earns revenues of 9 dollars per customer. In all how many customers does Kristen auto wash need to serve in order to have a total of 36. In revenue

Answers

Answer:

Kristen auto wash earns revenues of 9 dollars per customer

In order to earn 36 they will need 4 customers

36÷9= 4

A basketball player completed ​44.2% of his field goals in the most recent season. He made 287 field goals. How many did he​ attempt?

Answers

44.2%= 287

Let the total attempt = x

(287/x) ×100 = 44.2

287/x = 44.2/100

287/x = 0.442

x = 287/0.442

x= 649

Hope this will help...

help help help help help help help

Answers

Answer:

Integer and Irrational Number

Step-by-step explanation:

Whole Numbers don't include fractions, Real numbers don't have sqrt in the btm and rational numbers don't inclue sqrt

Answer:rational number

Step-by-step explanation:

I did ot

can someone help with all of these, please

Answers

Answer:

See below

Step-by-step explanation:

1. Option D

d. -6 < x ≤ 6

2.  Option C

y = 3

3.  Option B

Travis only. Tim's graph only covers positive range

4. No options provided

Domain x = (-oo, +oo)Range y = [-4, 3]



7. Cho Sasaki demonstrates microwave ovens at the National Home Show. She is

paid $7 each for the first 7 demonstrations and $11 for each demonstration over 7.

What is her commission for a day in which she makes 12 demonstrations

Answers

Answer:

The commission made is $104

Step-by-step explanation:

Here, given the payment analysis, we want to know the total pay for a day in which 12 demonstrations were made.

From the question, we can deduce the following;

For the first 7 demonstrations , $7 is paid

Now for the remaining 5 out of the total 12, the amount paid per demonstration is $11

So the total commission earned will be;

$7(7) + $11(5)

= $49 + $55 = $104

The values in the table define the function Alx). If g(x) is the inverse of Ax), what is the value of g(1)?
xfx)
-1
-3
1
-1
4
1
6
4.
7
6

Answers

Answer: im pretty sure its D. 4

Step-by-step explanation:

Peyton received a $5,000 bonus at work, and plans to invest it today. Her investment account will earn a 5% interest rate, compounded monthly. What will her account value be in 20 years? Peyton will have $___ in the account after 20 years.

Answers

Answer:

$ 13,563.20

Step-by-step explanation:

Formula for total amount accrued or gathered after interest is compounded monthly = A = P(1 + r/n)^nt

A = Amount after t years

P = Initial amount Invested = $5,000

r = Interest rate = 5% = 0.05

n = compounding frequency = Every month = 12

t = time in years = 20

A = $5000(1 + 0.05/12)^20 × 12

A = $ 13,563.20

Therefore, Peyton will have $13,563.20 in the account after 20 years.

Answer:

FV = PV (1 + )nt

PV = $5,000

r = 0.05

n = 12

t = 20

FV = 5,000 (1 + )12 · 20

= 13,563

Step-by-step explanation:

A baseball player leads off the game and hits a long home run. The ball contacts the bat about 5 ft. above the ground with a velocity of 16.0 ft./s. At what time will the ball hit the ground?

Answers

Answer:

16 ft

Step-by-step explanation:

(3x +1)•2x – x^2 • 3
(3x + 1)^2

Answers

Answer:

3x^2 +2x9x^2 +6x+1

Step-by-step explanation:

[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]

2.

[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]

Examine the table and determine the rate of change,
What is the rate of change?
O 4
x
y
X-3
1
1
-4
O 3
2
-1
3
2.
5

Answers

Answer:

the anwser is 3

Step-by-step explanation:

Quanto é 60 x 11 + 346²

Answers

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

Solve 1/3x = -4/5. What is the answer?

Answers

Answer:

x = -12/5

decimal: x = -2.4

mixed number: x = -2 2/5

Step-by-step explanation:

simplify both sides of the equation then isolate the variable

9b+5=23 solve equation

Answers

Steps to solve:

9b + 5 = 23

~Subtract 5 to both sides

9b = 18

~Divide 9 to both sides

b = 9

Best of Luck!

whats the product of 0.02 x0.3?PLEASE ANSWER WITH STEPS PLEASEEEE,ITS URGENT

Answers

Answer:

0.006

Step-by-step explanation:

This is the answer because:

Short Way:

1) We know 3 x 2 is 6

2) When we multiply with zeros, how many ever zeros there are in the factors together, should be in the answer. In this case, in the answer we should have 3 zeros, one before the decimal point and two after the decimal point, because in 0.02 there are two zeros while in 0.3 there is only one zero.

3) Finally, the answer would be 0.006

Long Way:

1) You can do long multiplication to solve for the answer.

2) 0.02

   × 0.3

Is 0.006 because 3 x 2 is 6, and then 3 x 0 is 0 and then 3 x 0 is 0.

006

+0000

0.006

Remember to put a decimal point.

Hope this helps!

Solve the equation.
1/2K-(k+1/5)=1/10(k+2)

Answers

Answer:

k=−23

Step-by-step explanation:

I hope this help if you need step by step just comment

At a pizza party the guests ate 7 and 1/4 pizzas. Which decimal is equivalent to the amount of pizzas they ate? show your work​

Answers

Answer:

7.25

Step-by-step explanation:

7 1/4=4*7+1=28/4=7.25

Given 8x^2 – 3 + 4, what is (are) the constant(s)?

Answers

Answer:

-3 and 4

Step-by-step explanation:

[tex]-3[/tex] and [tex]4[/tex] are the constants

since they aren't multiplied a variable

-3 and 4 would be your answer

how do I write 4.18 as a mixed number​

Answers

Answer:

4 18/100

Step-by-step explanation

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATION to determine what the club should charge to maximize its income from dues.

Answers

Answer:

The value is      [tex]y  =  \$ 225[/tex]

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  [tex]k  =  \$ 200[/tex]

   The  number of members it will have at this amount is  [tex]n  =  50[/tex]

   The amount amount increase that will lead to the loss of a single member is   [tex]z =  \$ 5[/tex]

        Generally the total amount the club would obtain from  its members is mathematically represented as

      [tex]I  =  Amount \  due\ paid *  Number \  of members[/tex]

Now let x denote the number of member lost

Hence

      [tex]I  =  (k + zx) (n-x )[/tex]

=>    [tex]I  =  (200 + 5x) (50-x )[/tex]

=>  [tex]I  = 10000+50x-5x^2[/tex]

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           [tex]\frac{dI}{dx}  =  50-10x[/tex]

=>         [tex] x   =  5[/tex]

So from  [tex]I  =  (200 + 5x) (50-x )[/tex] we have

          [tex]I  =  (200 + 5 (5)) (50-5 )[/tex]

           [tex]I  = \$ 10125 [/tex]

So the amount the club should charge is    

         [tex]y  =  \frac{10125}{50 - 5}[/tex]

         [tex]y  =  \$ 225[/tex]

         

A king and his army will attempt to capture a fortress. The left and right flanks break off from the main group to attack the west and east guard towers. Suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. If both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. If, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. If both flanks fail, then the king's chance of capturing the fort drops to 20%. What is the chance the king will capture the fort

Answers

Answer:

Step-by-step explanation:

Let the probability of winning from left side be L and from right side by R .

Let the probability of winning by king be K .

Given information can be summarised as follows :

P(L) = .6

P(R) = .75

P K/(L∩R)=.98

P K/(L∩R')= .8

P K/(L'∩R) = .5

P K/(L∩R)' = .2

Probability of win by King can be summarised as follows .

P(k) = P(L∩R) x P K/(L∩R) + P(L∩R') x P K/(L∩R') + P(L'∩R) x P K/(L'∩R) + P(L∪R)' x P K/(L∪R)'

P(L∩R) = .6 X .75 = .45

P(L∪R) = P(L) +P(R) -  P(L∩R)

= .6 +.75 - .45 = .90

P(L∪R)' = 1 - P(L∪R) = .10

P(L∩R') = P(L)  - P(L∩R) = .6 - .45 = .15

P(L'∩R) = P(R) - P(L∩R) = .75 - .45 = .30

P(k) = P(L∩R) x P K/(L∩R) + P(L∩R') x P K/(L∩R') + P(L'∩R) x P K/(L'∩R) + P(L∪R)' x P K/(L∪R)'

= .45  x .98 + .15 x .8 + .30 x .5 + .1 x .2

= .441 + .12 + .15 + .02

= .73 approx .  

What Is the correct answer??

Answers

The right side stayed the same so ignore the right side

Left Hand Side:

1/4n - 5 - 4n + 3

= (1/4n - 4n) + (-5 + 3)

= (-15/4n) + (-2)

= -15/4n - 2

Ans: D

Which of the following ordered pairs belongs to the graph of f(x)
- 3x + 9?
O (1, – 10)
O (-1, 12)
O (2, – 3)
O (-2, 13)

Answers

Answer:

The second choice, [tex](-1,\, 12)[/tex].

Step-by-step explanation:

Note, that the expression [tex]y = f(x)[/tex] is an equation. A point [tex](x,\, y)[/tex] is on the graph of [tex]y = f(x)\![/tex] if and only if the value of [tex]x[/tex] and [tex]y[/tex] satisfy this equation; that is: in other words, the [tex]y\![/tex]-coordinate of that point (the second number in the tuple) should be equal to [tex]f(x)[/tex], which is equal to [tex](-3\, x +9)[/tex] (evaluated where [tex]x\![/tex] is equal to the first number in the tuple.

For each tuple in the choices, calculate the value of [tex]f(x)[/tex] where [tex]x[/tex] is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on [tex]y = f(x)[/tex] only if these two numbers match.

First choice: [tex]x = 1[/tex], [tex]f(x) = f(1) = -3 + 9 = 6[/tex]. That's not the same as the second number, [tex]-10[/tex]. Therefore, this point isn't on the graph of [tex]y = f(x)[/tex].Second choice: [tex]x = -1[/tex], [tex]f(x) = f(-1) = (-3)\times (-1) + 9 = 3 + 9 = 12[/tex]. That matches the second number in the tuple. Therefore, this point is on the graph of [tex]y = f(x)[/tex].Third choice: [tex]x = 2[/tex], [tex]f(x) = f(2) = (-3)\times 2 + 9 = 3[/tex]. That's not the same as the second number, [tex](-3)[/tex]. Therefore, this point isn't on the graph of [tex]y = f(x)[/tex].Fourth choice: [tex]x = -2[/tex], [tex]f(x) = f(-2) = (-3)\times (-2) + 9 = 15[/tex]. That's not the same as the second number, [tex]13[/tex]. Therefore, this point isn't on the graph of [tex]y = f(x)[/tex].

2+99999999-7+638378892=?

Answers

Answer:

738,378,886

Step-by-step explanation:

1) Add 2+99,999,999 which equals to 100,000,001

2) Then, subtract 100,000,001 with 7 which is 99,999,994

3) Finally, add 99,999,994 with 638,378,892 which is 738,378,886

Hope this helps!

Choose the sentence that uses engaging details to describe Mr. Lee. A:Mr. Lee is an older man with gray hair who smiles a lot. B:Mr. Lee looks nice when he smiles. C: Mr. Lee’s entire face crinkles and lights up when he smiles.

Answers

Answer: Mr. Lee’s entire face crinkles and lights up when he smiles.

Step-by-step explanation:

Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Given that,
From the sentences, we have to determine the sentence that emphasizes the engaging details.

What is engaging details?

Content created by someone who is enthusiastic about the subject they are writing about is the most engaging content. If you write with passion and explain to readers why you are passionate, you might be able to persuade them to love your company as much as you do.

Here,
Option A and Option B is incorrect because the sentence describes different entities over the face.
While in option C engaging sentence the smile tends to bring crinkles and lights up the face.

Thus, Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Learn more about engaging sentences here,
https://brainly.com/question/17346475
#SPJ5

Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively. a. What proportion of the packages in the town are delivered on time

Answers

Answer:

Proportion of total delivered on time is 70% or 7/10

Step-by-step explanation:

Here, we want to know the proportion of all the packages delivered on time.

Moving away from the percentage, let’s say the total produced package amongst the 3 is 100

So;

Service A has 60% which is 60

Service B has 30% which is 30

Service C has 10% which is 10

Now from here, we move as follows;

on time rate for service A is 80%

This means 80/100 of the 60 is delivered on time

That will be 80/100 * 60 = 48

For service B, 60% is delivered on time; Thus we have ;

60/100 * 30 = 1800/100 = 18

For service C , 40% of 10

40/100 * 10 = 4

So the total on time delivery will be;

18 + 4+ 48 = 70

So the proportion delivered on time will be 70/100 = 7/10 or 70%

1.
A car dealer advertises a 8% markup over cost. Find the selling price of a car that costs the dealer $38,000.

Answers

Multiply the cost of the car by 1 + percent of markup:

38,000 x 1.08 = 41,040

The price is $41,040

Answer:

41040

Step-by-step explanation:

First find the markup

38000* 8%

38000*.08

3040

Add the markup to the original price

38000+3040

41040

Pls help i dont understand :( will mark brainliest!!

Answers

Answer:

375< y < 525

Step-by-step explanation:

The minimum is 15* 25 = 375

the maximum is 15 * 35 =525

He can earn any amount between these two values

The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represents an even integer then X +2 represents the next consecutive even integers

Answers

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ([tex]x^2[/tex] and [tex](x+2)^2[/tex]) is (=) 44 (44)"

this means the following:

[tex](x+2)^2-x^2=44[/tex]

solve for x to find the smaller integer

first, expand

[tex](x^2+4x+4)-x^2=44[/tex]

[tex]x^2+4x+4-x^2=44[/tex]

[tex]4x+4=44[/tex]

[tex]4x=40[/tex]

[tex]x=10\rightarrow x+2=10+2=12[/tex]

The 2 integers are 10 and 12

square root of 4/16
can be classified as a____
number and a____
number.

Answers

rational and whole, 4/16 equals 4

Sue is ready to move into a new apartment. Rent is $689 per month. To move in, Sue will need to pay
equal to two months rent. In addition, she will need to pay $78 to hook up the electricity, $134 to set
$118 to set up cable and Internet service. Round each cost to the nearest hundred and estimate abon
Sue to move into her apartment.
Estimate: $

Answers

Answer:1700

Step-by-step explanation:

Answer:

1700

Step-by-step explanation:

Other Questions
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