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svlad2 [7]
3 years ago
5

21

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Step-by-step explanation:

<u>Step 1:  Factor</u>

x^2 - 4x - 5

x^2 - 5x + x - 5

(x - 5)(x + 1)

   E      D

Answer:  Option D and E

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On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu
CaHeK987 [17]

Answer:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

Step-by-step explanation:

In a coin toss the  probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

R=\frac{2n!}{m!*(2n-m)!}

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of P_{case}=0.5^{2n} so:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

<u>For example, to toss 4 heads in 5 rounds: </u>

  • n=5
  • 2n=10
  • m=4

P=\frac{10!}{4!*(10-4)!}*0.5^{10}

P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205

8 0
3 years ago
Shelly has a bag containing three balls : one red, one yellow, and one green. All balls are likely to be chosen. Shelly will cho
Lilit [14]
The answer is c. Since she has three balls and she is going to chose one is will be 1/3
Hope this helps
5 0
3 years ago
Read 2 more answers
based on the experimental probability about how many times will yosef draw a green marble if he draws a total of 75 marbles
Tema [17]
35 if you want to count purple but 12 if your from orange
5 0
2 years ago
Please help! Limits. Just confirm that an coverages to 2 as n--&gt;infinity
Alexxandr [17]

Answer:

Limit is 2

Step-by-step explanation:

The last term approaches zero as n approaches infinity so the fuction approaches 2.

7 0
3 years ago
Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot
Lady_Fox [76]
In order to solve this problem, you need to use a geometric series:
S_{n} =  \frac{ a_{1}(1 - r^{n}) }{1 - r}
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 <span>S_{n} =  \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}
= 219783.60 $

Luke's total earnings in five years are <span>219783.60 $.</span>

</span>
6 0
3 years ago
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