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REY [17]
3 years ago
6

What is the degree of the polynomial below 7x^5+6x^3+4x+2

Mathematics
1 answer:
Allushta [10]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Degree of the polynomial is the higest power of x

The degree of the polynomial   7x^5+6x^3+4x+2 is 5

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If a fair coin is tossed 4 times, there are 16 possible sequences of heads (H) and tails (T). Supposethe random variable X repre
postnew [5]

Answer:

The probability distribution of X is:

P(x=0)=0.0625\\\\P(x=1)=0.25\\\\P(x=2)=0.375\\\\P(x=3)=0.25\\\\P(x=4)=0.0625\\\\

Step-by-step explanation:

"Tossing a coin and getting H" can be modelled as a Bernoulli random variable. The variable X is a sum of 4 of this Bernoulli variables, we can model X as a binomial random variable, with p=0.5 and n=4.

The values X can take are: 0, 1, 2, 3 and 4.

The values of this probability are calculated as:

P(x=0) = \binom{4}{0} p^{0}q^{4}=1*1*0.0625=0.0625\\\\P(x=1) = \binom{4}{1} p^{1}q^{3}=4*0.5*0.125=0.25\\\\P(x=2) = \binom{4}{2} p^{2}q^{2}=6*0.25*0.25=0.375\\\\P(x=3) = \binom{4}{3} p^{3}q^{1}=4*0.125*0.5=0.25\\\\P(x=4) = \binom{4}{4} p^{4}q^{0}=1*0.0625*1=0.0625\\\\

Where

p: is the probability of tossing a coin and getting a Heads

q: is the probability of tossing a coin and not getting a Heads.

The binomial number is a way to calculate the possible combinations of getting a certain amount of heads.

For example, in 4 tosses, there are 6 ways or combinations of getting 2 heads and 2 tails:

\binom{4}{2}=\frac{4!}{2!(4-2)!}=\frac{24}{2*2}=6

8 0
3 years ago
A cone has a height of 20 centimeters and a radius of 18 centimeters. What is its volume?
GuDViN [60]

Answer:

6785.84

Step-by-step explanation:

6 0
3 years ago
20% of __ is 15 pls help lol
Olegator [25]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
What is the decimal equivalent to 5/7
tino4ka555 [31]

Answer:

0.714286

Step-by-step explanation:

yes

5 0
2 years ago
FIND THE AREA OF THE RHOMBUS!!!! PLEASE HELP!!!!
sladkih [1.3K]

Answer:

64 in² (Answer B)

Step-by-step explanation:

Note that this rhombus is made up of a large upper triangle and a large lower triangle.  Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.

The area-of-a-triangle formula is

A = (1/2)(base)(height), which here is

A = (1/2)(16 in)(4 in) = 32 in².

Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in².  So the total area of the rhombus is 64 in²

5 0
3 years ago
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