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Deffense [45]
3 years ago
10

(a + b)(a^2 - ab + b^2)

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

The answer is a^3 + b^3

lidiya [134]3 years ago
5 0

Answer:

(a^3-b^3)

Step-by-step explanation:

According to the formula

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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
​Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their envi
tia_tia [17]
I assume that if we write the equation in its mathematical form it will appear like this:
                                  T = 50 + (N - 40)/4
Substituting the value of T given,
                                  58 = 50 + (N-40)/4
The value of N from the generated equation above is equal to 72. Therefore, the Snowy Tree Crickets chirp 72 times per minute at a temperature of 58°F.
6 0
3 years ago
Read 2 more answers
The Falcons’ third play went for +3 1/4 yards. Terrence thinks they lost yards, but his friend Ted thinks they gained yards. Who
Alexxandr [17]

Answer:

ted is right they gained yards

Step-by-step explanation:

becuase where it says +3 1/4 the + is the clue

7 0
2 years ago
PLEASE ANSWER -( 1 - 6n )
Slav-nsk [51]

Answer:

6n-1

Step-by-step explanation:

Re-arrange
-(1 - 6n)
-(-6n + 1)

Distrubute
-(-6n -1)
6n - 1

4 0
2 years ago
The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the
REY [17]

Answer:

B: 54 square feet

Step-by-step explanation:

There are 3 feet in 1 yard. The scale model is 6 square yards.

Multiply 6 by 3 to get the amount of square yards.

There are 18 square yards in the actual playground.

Since there are 3 feet in a yard, multiply 18 by 3.

This gives you your answer:

54 square feet

6 0
3 years ago
Read 2 more answers
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