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Gelneren [198K]
2 years ago
6

Two dice are thrown. Determine the probability of obtaining a score of at least 4.

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0

11/36 would be the probability of getting 4 , when two dice are thrown simultaneously.

As there are 6 faces of die,
So Probability of Not getting four in one dice = 5/6

As both events are mutually exclusive, the probability of not getting four in two dice = (5/6) * (5/6) = 25/36

So probability of getting at least one four is = 1-(25/36) = 11/36

So probability = 11/36

Learn more about probability refer:

brainly.com/question/24756209

#SPJ10

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A student in wildlife management studied trout habitat in the upper Shavers Fork watershed in West Virginia. The springtime wate
nataly862011 [7]

Answer:

C. H 0 : μ = 7 vs. Ha : μ ≠ 7

Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

Step-by-step explanation:

The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7

In symbols it will be written as

H0: : μ = 7 vs. Ha : μ ≠ 7

So choice C is the best option for this hypothesis testing.

Let the significance level be 0.05

The degrees of freedom = n-1= 29-1 = 28

The critical value is  t ≥ 2.048 and t ≤ - 2.048 for 0.05 two tailed test with 28 df.

The test statistic to use is t- test

t= x- u/ s/√n

The total sum is 170.9 and mean = x= 5.893

The u = 7

And the sample standard deviation is =s= 0.63

Putting the values

t= 5.893-7/0.63/√29

t= - 1.107/0.11699

t= -9.4623

Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

4 0
3 years ago
What should be added to 3 to make the sum 0?
Phoenix [80]

Answer:

-3

Step-by-step explanation:

3+x=0

subtract 3 from 3, 0

subtract 3 from 0, -3

5 0
4 years ago
Read 2 more answers
If marie wants to decorate a gift box with ribbon. She measures three pieces that she has with a ruler.They are 32. Centimeters,
Misha Larkins [42]

Answer: No, she does not have enough.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.

- She need 200 centimeters of ribbon for the box.

2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:

32cm+41.19cm+57.8cm=130.99cm

3. As you can see:

 130.99 cm<200 cm

Therefore, she does not have enough ribbon.

5 0
3 years ago
What is the volume of the shape below? Use 3.14 for 8in. 3 in​
musickatia [10]
The answer is 75.4

Explanation
7 0
3 years ago
Which of the following represents the quotient of the polynomial 6x^3+3x^2-5/3x^2+1​
fenix001 [56]

Answer: The quotient is (2x+1)

Step-by-step explanation:

Here, the dividend =  6x^3+3x^2-5

Divisor = (3x^2+1)

By the long division method for finding the quotient we will follow the following steps,

Steps 1 : Write dividend inside the division sign and divisor outside the division sign,

Step 2: Multiply the divisor by 2x and subtract the result by the dividend,

Step 3: Now, again multiply the divisor by 1,

Step 4: Subtract the result by the remaining dividend,

Since, further division is not possible,

Hence, the sum of all terms that are multiplied = 2x+1

Which is our quotient.

4 0
3 years ago
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