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Pavlova-9 [17]
2 years ago
12

Which trinomial is equivalent to 3(x-2)^2 - 2(x-1)

Mathematics
1 answer:
k0ka [10]2 years ago
5 0
(a-b)²=(a²-2ab+b²)


3(x-2)²-2(x-1)
=3(x²-4x+4)-2(x-1)
=3x²-12x+12-2x+2
=3x²-14x+14

Answer: 3x²-14x+14
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Write an inequality to represent the phrase: the difference of a number and 9 is no more than 95
Sliva [168]

Answer:

x-9\leq 95

Step-by-step explanation:

Let

x ----> the number

we know that

The phrase " the phrase: the difference of a number and 9" is equal to

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(x-9)

The phrase" no more than 95" means "less than or equal to 95"  (≤95)

so

The inequality that represent this situation is

x-9\leq 95

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3 years ago
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either
fenix001 [56]

Answer:

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Step-by-step explanation:

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2 years ago
What times 0.6 equals 0.225
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Read 2 more answers
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

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

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
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