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allochka39001 [22]
4 years ago
14

While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to

keep the three fours and reroll the other 2 dice. a. what is the probability that Mei will have 5 of a kind? b. What is the probability that she will have 4 of a kind? c. what is the probability that she will have exactly three 4's?
Mathematics
1 answer:
Elina [12.6K]4 years ago
5 0
A. The probability is 1/36. There are 36 combinations of the first and second dice and only one of them is 2 - 4s.

B. 10/36. Ten of the options contain exactly 1 - 4. 

C. The remaining 25/36 options do not include a 4. 
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Given a||b ,and cis not parallel to a or b which of the following are true ? Choose all answers that are correct.
umka2103 [35]

Answer:

Options B and D are true.

Step-by-step explanation:

See the diagram attached.

Line a and b are parallel and line c is not parallel to them.

There is a transverse line and this line forms the angles 1 to 12.

Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.

Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.

Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.

Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.

Therefore, options B and D are true. (Answer)

7 0
4 years ago
A baseball team has home games on Thursday and Saturday. The two games together earn ​$4349.50 for the team. Thursday​'s game ge
Nina [5.8K]

Answer: $2060 was taken in at Thursday's game and $2289.50 was taken in at Saturday's game.

Step-by-step explanation:

To find the answer, create two equations from the given information and solve them simultaneously. In simple terms, the money taken in at Thursday's game was the money taken in at Saturday's game minus $229.50

Let the money generated from Thursday's game be x.

Let the money generated from Saturday's game be y.

x+y = $4349.50 ... equation 1

x = y-$229.50 ... equation 2

Substituting equation 2 into equation 1 you get:

y-$229.50+y = $4349.50

2y = $4579

y = $2289.50

Therefore x = $2289.50-$229.50 = $2060

5 0
3 years ago
The CEO of a large corporation asks his Human Resource (HR) director to study absenteeism among its executive-level managers at
Fynjy0 [20]

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given:

n = 30 is the sample size.  

The mean  \bar X = 7.3 days.  

The standard deviation = 6.2 days.  

df = n-1  

     = 30-1 \\      =29

The importance level is \alpha = 0.10  

The table value is calculated with a function excel 2010:

= tinv (\ probility, \ freedom \ level) \\= tinv (0.10,29) \\ =1.699127\\ =  t_{al(2x-1)}= 1.699127

The method for calculating the trust interval of 90 percent for the true population means is:

Formula:

\bar X - t_{al 2,x-1} \frac{S}{\sqrt{n}} \leq \mu \leq \bar X+ t_{al 2,x-1}   \frac{S}{\sqrt{n}}

=\bar X - t_{0.5, 29} \frac{6.2}{\sqrt{30}} \leq \mu \leq \bar X+ t_{0.5, 29}   \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 \frac{6.2}{\sqrt{30}}\leq \mu \leq7.3 +1.699127 \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 (1.13196)\leq \mu \leq7.3 +1.699127  (1.13196) \\\\=5.37 \leq \mu  \leq 9.22 \\

It can rest assured that the true people needs that middle managers are unavailable from 5,37 to 9,23 during the years.

7 0
3 years ago
09
marysya [2.9K]

Hey there! I'm happy to help!

We see that both Mr Ali and Mr Abid got at least 150,000. If you look over one more digit, Mr Abid has 8 and Mr Ali has 6, so Mr Abid has over 2,000 more votes.

Have a wonderful day! :D

3 0
4 years ago
What is the slope of the line represented by the equation y = x – 3?
kari74 [83]

\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{1}x-3}

5 0
3 years ago
Read 2 more answers
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