A jar contains 38 red marbles numbered 1 to 38 and 38 blue marbles numbered 1 to 38 a marble is drawn at random from the jar

Answer:

[tex]Probability = 0.56[/tex]

Step-by-step explanation:

Represent the probability that Alice does well with P(A), the probability that Bob does well with P(B).

So, we have:

[tex]P(A) = 0.8[/tex]

[tex]P(B) = 0.4[/tex]

Required

Determine the probability that only one of them do well

This event is represented as: (A and B') or (B and A')

Where B' means Bob does not perform well and A' means Alice does not perform well.

And:

[tex]P(B') = 1 - P(B)[/tex]

[tex]P(A') = 1 - P(A)[/tex]

So, the probability becomes:

[tex]Probability = P(A\ and\ B')\ or\ P(B\ and\ A')[/tex]

[tex]Probability = P(A) * P(B')\ +\ P(B)*P(A')[/tex]

[tex]Probability = P(A) * (1-P(B)) +\ P(B)*(1-P(A))[/tex]

[tex]Probability = 0.8 * (1-0.4) +\ 0.4*(1-0.8)[/tex]

[tex]Probability = 0.8 * 0.6 +\ 0.4*0.2[/tex]

[tex]Probability = 0.48 + 0.08[/tex]

[tex]Probability = 0.56[/tex]

Hence, the required probability is 0.56

Answer:

-3 + 40 - 80 = -43

hope it helps

Answer:

The answer should be 2

Step-by-step explanation:

16 pi    = 1/3  pi    r^2    ( 12)        Divide both sides by pi

16        = 1/3        r^2     (12)         1/3   * 12 = 4

16         = 4          r^2                     divide both sides by 4

4           =             r^2                     You should be able to take it from here !

Answer:st week he worked h hours at the concession stand and three times as many hours at the ticket ... How much did he make before the raise? ... Alice earns 1.5 times her hourly rate for each hour she works after 40 hours in a week. ... Dominic earns $18 an hour plus $25 an hour for every hour of overtime.

Step-by-step explanation:

Answer:560

Step-by-step explanation:

Answer: 560

Step-by-step explanation:

Answer:

The value of N that satisfies the equation is [tex]\frac{1}{11}[/tex]

Step-by-step explanation:

First we open the factorial of 12, to simplify the expression:

12! = 12*11*10*9!

So

5!*9! = 12!*N

5!*9! = 12*11*10*9!N

12*11*10N = 5!

Now we open the factorial of 5. So

12*11*10*N = 5*4*3*2*1

Since 5*2 = 10, 4*3 = 12, we have that:

12*11*10*N = 10*12*1

Now, simplifying by 10*12

11N = 1

[tex]N = \frac{1}{11}[/tex]

This is the value of N that satisfies the equation

Answer:

14

Step-by-step explanation:

A rectangle has four sides so all you have to do is 56÷4

Answer:

14

Step-by-step explanation:

I was Slightly confused But with the given information

Divide 56 and 4...

Answer:

Too many answers could be correct

Step-by-step explanation:

This one is hard because it will depend on what numbers you pick for each measurement.

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

if a = 1, b = 2, c = 3, d = 4, and e = 5

find the volume for all the shapes

The post

V = lwh = (1)(1)(2) = 2

The bottom of the mailbox

V = lwh = (3)(4)(5) = 60

The top of the mailbox

V = πr²h = (3)(5)π = 15π = 48.2

Then add them all together:

2 + 60 + 48.2 = 110.2 is the total Volume

Answer:

I have corrected the DB value calculation.

Answer:

Step-by-step explanation:

y=(2x+3)^2(x-5)

Answer:

69.10738° or 69.1

Answer:

Step-by-step explanation:

28+22 is 50

Answer:

12+28=50

Step-by-step explanation:

Answer:

$1.05

Step-by-step explanation:

3% of 35 = 0.03 × 35 = 1.05

Answer:

43

Step-by-step explanation:

we know that ABC and CBD need to add up to 90 so we have

47+CBD=90

CBD=43

Answer:43Step-by-step explanation: if angle ABD is 90 degrees, and abc+cbd=ABD then ABD-ABC=CBD 90-47=CBD which is 43

Answer:85

Step-by-step explanation:

Answer: 13, remainder : 3

Step-by-step explanation:

The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

We have to given that,

To find the quotient and remainder of 55 divided by 4.

We can divide it,

⇒ 55 ÷ 4

4 ) 55 ( 13

  - 4

 -------

    15

  - 12

 ---------

       3

Hence, We get;

After divide,

Quotient = 13

Remainder = 3

Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

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Answer:

=12r2+5

Step-by-step explanation:

3² + (12r2) - 16 / 4

9+12r2+−4

Combine like terms

(12r2)+(9+−4)

12r2+5

Answer:

1/21

Step-by-step explanation:

1/3 - 2/7 = 7/21 - 6/21 = 1/21

Hope I helped!

Answer:

63.5

Step-by-step explanation:

9.3(3)+8.9(4) = 63.5

substitute the values (s and t) with the given numbers (3 and 4.)

Answer:

63.5

Step-by-step explanation:

# of different crust choices x # of different sauces x # of different sizes = the # of outcomes u'll end up w :)

Answer:abe

Step-by-step explanation:

Answer:

11 hours and 15 minutes (11.25)

Step-by-step explanation:

make a ratio

160:4.5

240/160=1.5

so 1 and 1/2 intervals of 4.5 hours

4.5+4.5= 9

4.5/2=2.25

9+2.25=11.25

The solution is 3.75 hours

The time taken by Jackie to drive a distance of 240 miles is given by the equation A = 3.75 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the equation be represented as A

Now , the value of A is

Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2.5 hours

Distance = 160 miles

Time = 2.5 hours

So , the speed = distance / time

Substituting the values in the equation , we get

Speed = 160 / 2.5

Speed = 64 miles / hour

Now , the new distance = 240 miles

So , the Time required = Distance / Speed

Substituting the values in the equation , we get

Time required A = 240 / 64

Time required A = 3.75 hours

Therefore , the value of A is 3.75 hours

Hence , the time taken with a speed of 64 mph is 3.75 hours

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Answer:

A and D

Step-by-step explanation:

Answer:

A and D.

Step-by-step explanation:

The main property of rhombi is that they have all four congruent sides.

So the only two quadrilaterals with four congruent sides are A and D.

Answer:

[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]

Step-by-step explanation:

Given

Charges: $39.99 for first 450 minutes

Charges: $0.45 for additional minutes

(a): What is x

x represents the total minutes

(b): What is f(x)

f(x) represents the total monthly cellular charges

(c): The piecewise function

For the first 450 minutes, the function is:

[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]

For additional minutes.

In (a), the total minutes is x.

So, we have:

Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)

[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]

[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]

Open bracket

[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]

[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]

Collect Like Terms

[tex]f(x) = 0.45x+39.99 - 202.5[/tex]

[tex]f(x) = 0.45x-162.51[/tex]

The range of the above function is: x > 450.

So, the piecewise function is:

[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]

Answer:

D) x=6√3, y=3√3

Step-by-step explanation:

Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3

This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3

This means that the correct answer is D) x=6√3, y=3√3

Refer to the diagram below to understand where I got these lengths.

Answer:

2.5

Step-by-step explanation

2 divided by five is 2.5

Answer:

Angle 1

Step-by-step explanation:

Supplementary = Two angles that has a sum of 180 degrees

Angle 1 + Angle 2 = 180 degrees

Answer:

plzz show me the diagram otherwise I can't help you sorry!!!!