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dybincka [34]
3 years ago
13

A bag contains 6 black marbles and 4 white marbles. Sally takes out a black marble and does not put it back. What is the probabi

lity that the next marble she picks will also be black
Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

\frac{5}{9}

Step-by-step explanation:

Total\ marbles=10\\\\Black=6\\\\White=4

After removing one black marble:

Total\ remaining\ marbles=9\\\\Remaining\ Black=5\\\\P(Black)=\frac{Remaining\ Black\ marbles}{Total\ remaining\ marbles}\\\\P(Black)=\frac{5}{9}

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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The probability distribution is:</em>

<em>x   P(x) </em>

<em> 0   0.30 </em>

<em>1    0.40 </em>

<em>2   0.20 </em>

<em>3   0.06 </em>

<em>4   0.04</em>

The mean can be calculated as:

M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04

3 0
3 years ago
PLEASE HELP ME <br><br>11) Which letter best shows ? 12) Which letter best shows ?​
Dafna1 [17]

Answer:

32

Step-by-step explanation:

7 0
2 years ago
Luke's Auto Wash earned $10 from servicing 2 customers. How many
laiz [17]
5 more because 10 divided by 2 is 5 and when u add 5 by 5 you get 10 and when you also add another 5 you get 15 so yeah
4 0
2 years ago
−4 4/5 ÷ 4<br><br> A. -1 1/5<br><br> B. -4/5<br><br> C. 4/5<br><br> D. 1 1/5
kogti [31]

Answer:

A. -1⅕

Step-by-step explanation:

-4\frac{4}{5}\div 4 = -4,8\div 4 = -1,2 =  -1 \frac{1}{5}

I am joyous to assist you anytime.

7 0
3 years ago
Math: <br> -x + 6 is greater than or equal to 10
Alla [95]

Answer:

It is actually less than 10.

Step-by-step explanation:

7 0
3 years ago
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