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2 years ago

Pls, answer this first CORRECT answer gets the best everything!!

Mathematics

2 answers:

Darya [45]2 years ago

7 0

Answer:

910 and 0.091

Step-by-step explanation:

multiply for 10^2 (100) means to move the comma to the right for two times

With a step we obtain 91. for the second step we have to add a zero and we have: 910

For the second the work is the same but with have to move the comma to the left two times,

first step: 0,91

second step : 0,091

Tomtit [17]2 years ago

3 0

Answer:

9.1 x 10² = 910

9.1 / 10² = 0.091

Step-by-step explanation:

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Copy the expressions which are polynomials. Give reasons why the remaining are

kupik [55]

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

8 0

3 years ago

Compare 6 ⋅ 108 to 3 ⋅ 106.

djverab [1.8K]

Answer:

$6*10^8$ is 200 times larger than $3*10^6$

Step-by-step explanation:

$6*10^8\ and \ 3*10^6$

To compare both values we divide the exponents

$\frac{6*10^8}{3*10^6}$

6 divide by 3 is 2

for simplify exponents we use exponential property

a^m / a^n = a^(m-n)

$\frac{10^8}{10^6}=10^2$

$\frac{6*10^8}{3*10^6}=2*10^2= 200$

$6*10^8$ is 200 times larger than $3*10^6$

4 0

3 years ago

Read 2 more answers

What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?

Goryan [66]

The answer is 77 multiply and add them

7 0

3 years ago

List all sets that apply to each number.

Tasya [4]

18
-3
0.9
Ugh hbd f go ihxhjf go

3 0

3 years ago

Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

3 years ago