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Anuta_ua [19.1K]
3 years ago
15

Solve the inequality 12x + 3(x+7) >10x-24

Mathematics
1 answer:
Zarrin [17]3 years ago
7 0

Answer:

x>-9

Step-by-step explanation:

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a coin will be tossed 10 times. Find the chance that there will be exactly 2 heads among the first five tosses and exactly 4 hea
777dan777 [17]

Answer:

The chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses is P=0.0488.

Step-by-step explanation:

To solve this problem we divide the tossing in two: the first 5 tosses and the last 5 tosses.

Both heads and tails have an individual probability p=0.5.

Then, both group of five tosses have the same binomial distribution: n=5, p=0.5.

The probability that k heads are in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{5}{k}\cdot0.5^k\cdot0.5^{5-k}

Then, the probability that exactly 2 heads are among the first five tosses can be calculated as:

P(x=2)=\dbinom{5}{2}\cdot0.5^{2}\cdot0.5^{3}=10\cdot0.25\cdot0.125=0.3125\\\\\\

For the last five tosses, the probability that are exactly 4 heads is:

P(x=4)=\dbinom{5}{4}\cdot0.5^{4}\cdot0.5^{1}=5\cdot0.0625\cdot0.5=0.1563\\\\\\

Then, the probability that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses can be calculated multypling the probabilities of these two independent events:

P(H_1=2;H_2=4)=P(H_1=2)\cdot P(H_2=4)=0.3125\cdot0.1563=0.0488

7 0
3 years ago
What is the reason for statement 4 in the two column proof
enot [183]
The reason is the gotter of the right angle is 12
5 0
3 years ago
I need help ASAP!!!!!
Alla [95]

 If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles, what can we say about the triangles?


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2 years ago
At the end of the day, Mr. Díaz drains the pool. The equation
Charra [1.4K]

Answer: 6 minutes.

Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.

7 0
2 years ago
Evaluate the expression when m=4 and n=9 5m-n
Zigmanuir [339]
 5m-n
Just replace m with 4 and n with 9
5(4)-9=20-9=11
6 0
3 years ago
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