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Schach [20]
2 years ago
12

For DE=29,find the length of segment BC

Mathematics
1 answer:
LenKa [72]2 years ago
7 0
Triangle ABC is similar to triangle ADE.

The scale factor from ADE to ABC is 2. We know this because two of the sides on the triangle are equally divided into 2.

29(2) = 58

BC = 58
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Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is \dfrac{1}{6} = 0.1667 .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is   \dfrac{1}{6} .

      Numbers on the dice (X)                       P(X)

                      +1                                                 \frac{1}{6}

                      +2                                                \frac{1}{6}

                      +3                                                \frac{1}{6}

                      -4                                                 \frac{1}{6}

                      +5                                                \frac{1}{6}

                      -6                                                 \frac{1}{6}

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X)  =  \sum X \times P(X)

   =  (+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}

   =  \frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}

   =  \frac{1+2+3-4+5-6}{6}

   =  \frac{11-10}{6}= \frac{1}{6}

Hence, the expected value of the points earned on a single roll in this game is  \frac{1}{6} = 0.1667 .

4 0
3 years ago
B Find the class that contains the median. <br><br><br><br> c Find the modal class.
Alex_Xolod [135]

Answer:

can you add a paper or more info to answer

Step-by-step explanation:

5 0
3 years ago
Are 45/75 and 90/150 proportional?
lesya [120]
Yes they are
. 90/150= 3/5
 so 45/75 and 3/5.
3 0
3 years ago
Read 2 more answers
The parking lot at a store has a width of 20 yards 2 feet and a length of 30 yards
Liula [17]

Answer:

I guess you are trying to find the perimeter of the parking lot.

the fomula is P= 2L+2W.

Step by step:

20yards( 2 ft )+ 30 yards +20 yards + 30 yards=

100 yards 2 ft.

I hope it's help.

5 0
3 years ago
Read 2 more answers
-1 2/3÷(-2 1/5)= in simplest form
soldi70 [24.7K]
> -1 2/3 ÷ (-2 1/5)
> -1.66.. ÷ -2.2
> 0.75454...

Answer: 0.75
4 0
3 years ago
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