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3 years ago

1. Solve the given inequality and graph it on the number line.–3x + 9 ≤ 15 Answer:

Mathematics

1 answer:

Travka [436]3 years ago

3 0

The answer is in the image

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Diego and Jada are both trying to write an expression with fewer terms that is equivalent to

UkoKoshka [18]

Answer: Diego, 4a + 9b is equivalent

Step-by-step explanation:

7a + 5b - 3a + 4b

= (7a - 3a) + (5b + 4b) We rerange the variables, and put them together with (), which make it more clear to solve.

= 4a + 9b

7 0

3 years ago

15 pts + brainliest to right/best answer

asambeis [7]

Split the second term 7x^2 - 8x - 12 into two terms

7x^2 + 6x - 14x - 12

Factor out common terms in the first two terms, then in the last two terms

x(7x + 6) - 2(7x + 6)

Factor out the common term; 7x + 6

4 0

3 years ago

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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

Let a be a rational number and b be an irrational number. Is a + b rational or irrational?

Svetlanka [38]

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

4 0

3 years ago

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At a basketball game, a vender sold a combined total of 100 sodas and hot dogs. The number of sodas sold was 38 more than the nu

Lina20 [59]

Answer:

64 sodas

36 hotdogs

Step-by-step explanation:

Well i just guessed and checked but thats the answer

6 0

3 years ago