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Stolb23 [73]
2 years ago
13

Solve ( 9 - r) ( 2 - 3r) using the FOIL method. QUICK PLEASE!

Mathematics
1 answer:
bazaltina [42]2 years ago
7 0

\huge\text{Hey there!}

\textsf{(9 - r)(2 - 3r)}

\textsf{= 9(2) + 9(-3r) + 2(-r) + (-r)(-3r)}

\mathsf{= 18 - 27r - 2r + 3r^2}

\mathsf{= 3r^2 + 18 - 27r - 2r}

\boxed{\large\text{COMBINE the LIKE TERMS}}

\mathsf{= 3r^2 + 18 + (-27r - 2r)}

\mathsf{= 3r^2 + 18 - 29r}

\mathsf{= 3r^2 - 29r + 18}

\boxed{\large\textsf{Therefore, your answer is: \large\boxed{\mathsf{3r^2 - 29r + 18}}}}\large\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?
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about 2714.34 in^3

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Read 2 more answers
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9
mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

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.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that \mu = 20.5, \sigma = 0.9

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

Z = \frac{21 - 20.5}{0.9}

Z = 0.56

Z = 0.56 has a p-value of 0.7123

X = 19

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

Z = \frac{19 - 20.5}{0.9}

Z = -1.67

Z = -1.67 has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0
2 years ago
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