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poizon [28]
3 years ago
14

Dependent and Independent Events

Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= \frac{1}{6}

And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.

Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"

The probability of A occurring will be P(A)= 1/6

On the other hand, the complement of "A" will be A^c: "Tom rolled the dice for the 10nth time and didn't obtain a 6"

This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5

You can calculate the probability pf this event by adding the probability of obtaining each value P(A^c)= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6

Or by subtracting the probability of A to the total probability of the sample space:

P(A^c)= 1 - P(A)= 1 - 1/6= 5/6

I hope this helps!

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There are 5 different coloured cups in a row.
Marizza181 [45]

There are 12 possible arrangements.

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

  • Considering that the blue cup has to be on one end, we consider the number of arrangements possible with the other 4 cups, then multiply by 2(considering the blue on each end).

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

  • Considering green and yellow before red and purple, there are 2 \times 2 = 4 outcomes(G-Y-R-P, G-Y-P-R, Y-G-R-P and Y-G-P-R).
  • Another two possible outcomes are yellow-purple and green-red, or vice-versa, thus 4 + 2 = 6 outcomes.
  • To account for the blue on the end, multiplying by 2. 2 \times 6 = 12
  • There are 12 possible arrangements.

A similar problem is given at brainly.com/question/24617788

6 0
3 years ago
Limestone is dissolved by chemical weathering at a rate of 0.2 cm every 100 years. At this rate, after how many years souldva la
Zinaida [17]
At this rate, it should take 7,500 years to dissolve 15m thiccccc
4 0
3 years ago
Suzie sells a box of 8 muffins for $7.60. What is the price per muffin?
svet-max [94.6K]

Answer:

95 cents per Muffin

Step-by-step explanation:

Set up the long division.

8 | 7 6 0

2. Calculate 76 ÷ 8, which is 9 with a remainder of 4.

9

8 | 7 6 0

7 2

4

3. Bring down 0, so that 40 is large enough to be divided by 8.

9

8 | 7 6 0

7 2

4 0

4. Calculate 40 ÷ 8, which is 5.

9 5

8 | 7 6 0

7 2

4 0

4 0

5. Therefore, 760 ÷ 8 = 95.

8 0
3 years ago
Explain how to perform a​ two-sample z-test for the difference between two population means using independent samples with known
iren2701 [21]

Answer:

The steps 1-7 have been explained

Step-by-step explanation:

The steps are;

1) We will verify that the population standard deviations are known and that the population is normally distributed which means the sample size must be a minimum of 30.

2) We will state the null and alternative hypothesis

3) We will determine the critical values from the relevant tables

4) From the critical values gotten, we will determine it's corresponding region where it can be rejected.

5)We will calculate the value of the test statistic from the formula;

z = [(x1' - x2') - (μ1 - μ2)]/√[((σ1)²/n1) + ((σ2)²/n2)]

6) If the value of the test statistic gotten from step 5 above falls in the region of rejection noted in step 4,then we will reject the null hypothesis

7) After rejection of the null hypothesis, we will now give a decision/conclusion on the claim.

5 0
3 years ago
25 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!!NO LINKS OR SPAMS I already solved half of it pls help on part 4 and down.
vichka [17]

Answer:

Death Valley California

C(t) = -0.30 (0)² + 40

C(t) = 40

C(t) = -0.30 (12)² + 40t – 12)2 + 40

65f

7 0
3 years ago
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