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julsineya [31]
3 years ago
8

A bowl contains 4 tangerines and 5 clementines. John randomly selects one piece of fruit, and then Pam randomly selects one of t

he remaining pieces of fruit. What is the probability that John selects a tangerine and Pam selects a clementine?
Mathematics
2 answers:
andre [41]3 years ago
6 0

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl,  tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are  8 pieces of fruit in the bowl,  

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

                                                                        = 4/9 * 5/8 =5/18

kirill [66]3 years ago
5 0

Answer:

5/18

Step-by-step explanation:

1. Find each of their probabilities separately

2. John= # of tangerines/ total # of fruit

3. John = 4/9

4. Pam = # of clementines/ total # of fruit left

5. Pam= 5/8

6. Multiply the two together to get the probability that both pick the fruit they want

7. 4/9 times 5/8

8. 5/18

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How do I write 32.39 in expanded notation?
baherus [9]
30+
2+
0.3+
0.09
thirty + two + 3 tenths + nine hundredths
8 0
4 years ago
If you have 12% withheld for federal taxes, 7% for state taxes, and FICA is 7.65%, how much are your involuntary withholdings in
grandymaker [24]

Answer:

Step-by-step explanation:

The required withholding amounts are ...

  • federal tax = 0.12×$1375 = $165.00
  • state taxes = 0.07×$1375 = $96.25
  • FICA = 0.0765×$1375 = $105.19

So, the total involuntary withholding is ...

  $165.00 +96.25 +105.19 = $366.44

We want to find the voluntary withholding such that ...

  (gross pay) - (involuntary withholding) - (voluntary withholding) = (net pay)

Adding (voluntary withholding - net pay) to both sides of this equation, we get ...

  (gross pay) - (involuntary withholding) - (net pay) = (voluntary withholding)

Filling in the values we know gives ...

  $1375 -366.44 -725 = voluntary withholding = $283.56

Your voluntary withholding is $283.56.

6 0
3 years ago
FIRST TO ANSWER WILL BE MARKED BRAINIEST
bezimeni [28]

The length of the third side can be expressed as an inequality...

0 < 3rd side < 39, depending on the angle

4 0
3 years ago
I AM IN DESPERATE NED OF QUICK HELP PLEASEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!
rosijanka [135]

Answer:

16

Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

  • (a + b)^2 = a^2 + 2ab + b^2

or

  • (a - b)^2 = a^2 - 2ab + b^2 <em>this is the formula we will use because the signs match the one in the question</em>.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

(v - x)^2 = v^2 -8v + x^2

  • this is the setup for being able to solve for the unknown x, now we need to solve for x.

(v - x)^2 = v^2 - 8v + x^2 (I replaced 2ab with 8v because I'm setting up this question to be a perfect square).

(v - x) (v - x) = v^2 - 8v + x^2

  • multiply the left side. Remember that your answer will not be v^2 + x^2, but v^2 - 2vx +x^2.

v^2 - 2vx + x^2 = v^2 + 8v + x^2

  • Divide like terms and isolate the variable. In this case, v^2 and x^2 are on both sides, so dive them and they will be canceled out.

2vx = 8v

  • divide by 2v and you will have your value for x.

x = 4

  • Now we plug x into our original equation equation for perfect squares.

(v - 4)^2 = v^2 - 8v + 16

Our final answer is 16.

5 0
4 years ago
Select the equivalent expression (5^2/4)^4
ladessa [460]

Answer:

5^8

-----------  which is choice A

4^4

Step-by-step explanation:

(5^2/4)^4

We can separate this   (a/b) ^c = a^c / b^c

5^2^5

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

4^4

We know that a^b^c = a^(b*c)

5^(2*4)

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

4^4

5^8

-----------

4^4

6 0
3 years ago
Read 2 more answers
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