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2 years ago

Which statement is true about this equation?

Mathematics

1 answer:

Karolina [17]2 years ago

5 0

Answer:

infinite solutions

Step-by-step explanation:

-9(x+3) +12 = -3(2x+5)-3x

Distribute

-9x-27 +12 = -6x-15-3x

Combine like terms

-9x -15 = -9x-15

Add 9x to each side

-9x-15+9x = -9x-15+9x

-15 = -15

This is a true statement so it is true for all x

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If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less

Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that $\mu = 489, \sigma = 6$

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{466 - 489}{6}$

$Z = -3.83$

$Z = -3.83$ has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

3 0

2 years ago

What are the types of polynomial??

Nana76 [90]

Answer

Monomial, Binomial, and Trinomial

Explanation

Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms. In the following section, we will study about polynomials and types of polynomials in detail.

5 0

2 years ago

David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented b

ivann1987 [24]

0.07

45h represents how much it costs per hour to get it fixed and how long it takes to get it fixed
0.07(45h) would represent the tax because it is 7% of the cost pretax

6 0

2 years ago

I’m Atlanta, the tax on a property assessed at $930,000 is $19,530. If tax rates are proportional in this city, how much would t

igomit [66]

Answer:

The tax on property assessed at $660,000 is $13860 .

Step-by-step explanation:

Given:

In Atlanta the tax on a property assessed at $930,000 is $19,530.

The tax rates are proportional to this city.

Now, to find the tax on a property assessed at $660,000.

So, we need to get the tax rate of Atlanta first.