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3 years ago

Evaluate the expression below at x = 6.

Mathematics

1 answer:

ziro4ka [17]3 years ago

4 0

Answer:

Step-by-step explanation:

(6+1/3×6)^2

(6+6/3)^2

(12/3)^2

(4)^2

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In which expression is 13y a term?

lord [1]

Answer:

Option b is the correct choice.

Step-by-step explanation:

We are asked to find the which of our given expressions has 13y as a term.

Since we know that a term can be a signed number, a variable, or a constant multiplied by a variable or variables as 2a or 5b. In term 2a, 2 is coefficient and a is a variable.

We can see that in 13y, 13 is coefficient and y is variable.

Let us see our given choices one by one.

a. $\frac{13y}{4}-2y$

Let can write our 1st term as:

$\frac{13}{4}y-2y$

We can see that both of our terms have y variable, but our 1st term has a coefficient 13/4 and 2nd term has a coefficient of -2. As none of these terms have 13 as a coefficient, therefore, option a is not a correct choice.

b. $8+13y-yz$

We can see that 8 is a constant, while 13y and -yz are terms. Since our expression has 13y as a term, therefore, option b is the correct choice.

c. $4+13yz$

We can see that 4 is a constant and 13yz is a term as it has variables yz. Since our given term has two variables, therefore, option c is not a correct choice as well.

d. $13+y$

We can see that 13 is a constant and y is term of our given expression. Since our expression don't have 13 as coefficient, therefore, option d is not a correct choice.

8 0

4 years ago

The probability distribution of random variable, X, is defined as follows:

stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

$E(X) = \Sigma xP(x)$

$E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3$

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0

4 years ago

What's 10 to the negative second power times 10 to the negative 10th power

tester [92]

10^-2*10^-10 = 10^-12

6 0

4 years ago

Read 2 more answers

Product of 27 x 60 and product of 27 x 600.

Nuetrik [128]

Answer:

27x6

162

27x60

1620

27x600=

16200

the product will be 16200 because 60x10 is equal to 600

27x60 is 1620 you also multiply it by

Step-by-step explanation:

5 0

3 years ago

Can someone please help me with math.

defon

Answer:

21) C it lies between 9 and 10 on a number line

6 0

3 years ago