Find the degree of the polynomial: −3x^3y^3+2.5xz^2−5xz^2

Mathematics

1 answer:

Lilit [14]3 years ago

5 0

Answer:

Degree is 6

Step-by-step explanation:

Solving given polynomial gives -3x^3y^3-2.5xz^2

as this polynomial involves two variables so we'll add the powers on variables in each term

first term: -3x^3y^3, add powers on x and y variables which turns out to be 6

Second term: 2.5xz^2, adding powers on x and z variable results in 3

As degree is the highest power among different powers on terms so here the degree is 6

You might be interested in

During the summer of 2014, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds of golf played from its whit

lys-0071 [83]

Answer:

Step-by-step explanation:

Hello!

You have the data on 443 rounds of golf played on the 12th hole.

The variable of interest is:

X: score of one round of golf played on the 12th hole.

To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.

a. Check attachment.

fi= absolute frequency

Fi= accumulated absolute frequencies

hi= relative frequency

Hi= accumulated relative frequency

P(X≤4)

This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:

P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136

The expected score of a discrete variable is:

E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29

To calculate the variance of the variable you have to use the following formula:

V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]

V(X)= 0.993

The standard deviation is the square root of the variance:

√V(X)=√0.993= 0.994

I hope it helps!