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Anna [14]
2 years ago
7

The data in the tables below were collected from first year students at a community college. The variable is "number of credit c

ards." If the table below is a complete probability distribution, what must be the value of T?
Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02
Mathematics
1 answer:
Oliga [24]2 years ago
7 0

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. $P(x) \geq 0$

2. $\sum_z P(x) = 1$

Now consider,

$\sum_z P(x) = 1$

⇒ $P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$

⇒ $0.61+T+0.14+0.01+0.01+0.03=1$

⇒ $0.8+T=1$

⇒ $T=1-0.8$

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

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Answer:

Your answer should be 443.82

Step-by-step explanation:

Ok, so if 6 workers were paid 6.93 an hour each and worked 9 hours each then you would do 6.93 x 9 for the number of hours and the pay for each hour, which is 62. 37. Then you would times 62.37 by 6 because you have 6 workers and the question asks for how much they made in TOTAL. 62.37 x 6 is 344.22, then you still have you overtime hours. So if each worker makes 3.32 for every overtime hour then you would do 3.32 x 5 for the number of hours. And that equals 16.60, then you would multiply that by 6 for the number of workers, 16.60 x 6 = 99.60. So in total for regual hours they made 344.22, and in total for overtime hours they made 99.60. Now you add those to to get you overall  price which is 443.82. And that should be your answer

Hope I did some good :) Have a great day!

7 0
2 years ago
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45
valentinak56 [21]

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

The right hand side of Step 1:  \dfrac45+\dfrac35\neq 1

Rather, the correct sum is:

\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25

5 0
3 years ago
(45pts) An elevator holds at most 1,400 pounds. A team of movers and their cart have a combined weight of 1,200 pounds. If each
emmainna [20.7K]
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Answer:

Step-by-step explanation:

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Answer:

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