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Alex
3 years ago
14

What is the probability that you will choose a state with 5 letters in its name, given that the state starts with T.

Mathematics
1 answer:
leonid [27]3 years ago
8 0
Texas might I think it starts with t or Tennessee
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Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte
natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

N \to Number of balls

For a box, the probability that there are N balls in it is:

Pr = 0.5^N

For 2 boxes, it is:

Pr = 2 * 0.5^N

From the question, we have:

\frac{80}{10000} \to Favorable outcome

To solve for N, we have:

2 * 0.5^N = \frac{80}{10000}

2 * 0.5^N = 0.008

Divide both sides by 2

0.5^N = 0.004

Take log of both sides

\log(0.5^N) = \log(0.004)

Apply law of logarithm

N\log(0.5) = \log(0.004)

Make N the subject

N = \frac{\log(0.004)}{\log(0.5)}

N =7.966

Approximate

N = 8

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

Balls \approx \frac{N}{2}

Balls \approx \frac{8}{2}

Balls \approx 4

<em>4 balls in each box</em>

6 0
3 years ago
The sixth term is 22 and the common difference is 6 what is the 15th term?
matrenka [14]

Answer:

76

Step-by-step explanation:

I made a chart to simplify it

1 | -8

2| -2

3| 4

4| 10

5| 16

6| 22

7| 28

8| 34

9| 40

10| 46

11| 52

12| 58

13| 64

14| 70

15| 76

5 0
3 years ago
The equation yˆ=20646·0.86x estimates the value of a brand of car x years after it was purchased new. Milo purchased this brand
zhannawk [14.2K]

Answer:

$195311

Step-by-step explanation:

Given the expression yˆ=20646*0.86x

Given that the number years 11

And x represent the number of years

Substituting x=11 in the expression for the cost we have

yˆ=20646*0.86(11)

yˆ=20646*9.46

yˆ=20646*9.46

yˆ=195311.16

From the analysis he purchased the car fro $195311

3 0
3 years ago
Graphing Ratios Which line includes the ratios in the table? Reading a Graph All the ratios lie on line
Burka [1]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A garden has only tomato and cucumber plants. There are 12 tomato plants and 5 cucumber plants.
Anastasy [175]
The total number of plants are: 12 tomatoes + 5 cucumbers = 17 plants
The ratio of cucumbers plants to total plants is: 5 cucumbers to 17 plants total
So It can be expressed as: 5/17 or 5:17
6 0
2 years ago
Read 2 more answers
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