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marshall27 [118]
2 years ago
4

A single standard number cube is tossed. What is the probability of getting a 4 or a 5

Mathematics
2 answers:
monitta2 years ago
6 0

Answer:

The probability of getting a 4 or a 5 = \frac{1}{3\frac{1}{3} }

Step-by-step explanation:

A single standard number cube is tossed.

The standard cube named 1, 2, 3, 4, 5, 6.

Therefore, the sample space = {1, 2, 3, 4, 5, 6}

That is, the total number of possible outcomes = 6

We have to find the probability of getting a 4 or a 5.

Therefore, the favorable outcomes are = {4, or 5} = 2

We know that the probability of an event = The number of favorable outcomes / The total number of possible outcomes.

Now plug in the numerical values in the above formula.

The probability of getting a 4 or a 5 = \frac{2}{6}

We can simplify this probability.

Divide both the numerator and the denominator by 2, we get

The probability of getting a 4 or a 5 = \frac{1}{3}

Licemer1 [7]2 years ago
5 0
A standard dumber cube has 6 (pls specify if it has more) so the probability is 2/6=1/3
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) The GPA of accounting students in a university is known to be normally distributed. A random sample of 20 accounting students
katen-ka-za [31]

Answer:

The 95% confidence interval for the mean GPA of all accounting students at this university is between 2.5851 and 3.2549

Step-by-step explanation:

We are in posessions of the sample's standard deviation. So we use the student's t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{975}). So we have T = 2.0930

The margin of error is:

M = T*s = 2.0930*0.16 = 0.3349.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.92 - 0.3349 = 2.5851

The upper end of the interval is the sample mean added to M. So it is 2.92 + 0.3349 = 3.2549

The 95% confidence interval for the mean GPA of all accounting students at this university is between 2.5851 and 3.2549

4 0
2 years ago
Find the perimeter of the polygon defined by the coordinates (5, 12), (12, 0), (0, 0), and (-4, 12). (Round to nearest tenth) A)
zavuch27 [327]
It would be b...........
8 0
2 years ago
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Based on a​ poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is
daser333 [38]

Answer:

The required probability is 0.988.

Step-by-step explanation:

Consider the provided information.

Based on a​ poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot.

That means the probability of more careful is 0.67

The probability of not careful is: 1-0.67 = 0.33

We have selected four random Internet​ users. we need to find the probability that at least one is more careful about personal information.

P(At least one careful) = 1 - P(None of them careful)

P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)

P(At least one careful) = 1 - 0.012

P(At least one careful) = 0.988

Hence, the required probability is 0.988.

The result may be higher because of the convenience bias in retrieving the sample. Because the survey subjects volunteered to​ respond not random.

3 0
2 years ago
Solve for x: the quantity x plus fifty all over two equals thirteen times x
dusya [7]

Answer:

x = 2

Step-by-step explanation:

(x + 50)/2 = 13x, first multiply both sides by 2

x + 50 = 26x, next subtract x from both sides

50 = 25x, finally divide both sides by 25

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3 0
2 years ago
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Jennifer has a square bedroom. The area of her room is 144 ft2. What is the length of one side of Jennifer’s room?
Jobisdone [24]

Answer:

Option B. 12\ ft

Step-by-step explanation:

we know that

The area of a square is equal to

A=x^{2}

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x is the length side of the square

In this problem we have

A=144\ ft^{2}

substitute and solve for x

144=x^{2}

suqre root both sides

x=12\ ft

7 0
2 years ago
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