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3 years ago

PLEASE HELP!! Algebra 2 Review !!

Mathematics

1 answer:

Kamila [148]3 years ago

6 0

Answer:

$\frac{28-3i}{26}$

Step-by-step explanation:

For #2, remember that $i=\sqrt{-1}$ , so $i^{2}=-1$ Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)= $a^2-b^2$ . Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number $a+bi$ , where a and b are any numbers, the conjugate is always $a-bi$ . Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:

$\frac{5+6i}{4+6i}=\frac{(5+6i)(4-6i)}{(4+6i)(4-6i)}=\frac{20+24i-30i+36}{16+36}=\frac{56-6i}{52}=\frac{2(28-3i)}{2(26)}=\frac{28-3i}{26}$

Our answer is (28-3i)/(26)!

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A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How ma

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A) How many cups of flour are there per serving?

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3 years ago

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Answer:

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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.

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$\mu = 24.4, \sigma = 1.2$

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We have to find the probability of the length being 26.6 in or more, which is 1 subtracted by the pvalue of Z when X = 26.6. So

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