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2 years ago

Which shows one way to determine the factors of y3 – 9x2 + 5x – 45 by grouping

Mathematics

1 answer:

Gnoma [55]2 years ago

4 0

Answer:

(x²+5)(x-9)

Step-by-step explanation:

Assuming that you are asking to factor by grouping:

x³ - 9x² + 5x – 45

You can group:

x²(x-9) + 5(x-9)

and then combine the x² and 5:

(x²+5)(x-9)

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The first three cards dealt from a

mart [117]

There are four aces, 12 face cards and 4 7s in a standard 52 card deck. The probability of getting an ace on the first draw is 4/52 or 1/13. For the second draw there are now 51 cards in the deck (assuming the draws are without replacement), so the probability of getting a face card is 12/51. Given an ace and a face card on the first two draws, the probability of a 7 on the third draw is 4/50 or 2/25. The probability of getting all three is 1/13*12/51*2/25.
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(06.01)What type of association does the graph show between x and y?

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1 year ago

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Why does cube root 7 equal 7 to the 1/3 power

UNO [17]

Answer:

Step-by-step explanation:

Here's how you convert:

$\sqrt[n]{x^m}=x^{\frac{m}{n}$ The little number outside the radical, called the index, serves as the denominator in the rational power, and the power on the x inside the radical serves as the numerator in the rational power on the x.

A couple of examples:

$\sqrt[3]{x^4}=x^{\frac{4}{3}$

$\sqrt[5]{x^7}=x^{\frac{7}{5}$

It's that simple. For your problem in particular:

$\sqrt[3]{7}$ is the exact same thing as $\sqrt[3]{7^1}=7^{\frac{1}{3}$

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2 years ago

The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet

nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

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.

The feet of the average adult woman are 24.6 cm long

This means that $\mu = 24.6$