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Trava [24]
3 years ago
9

Which expression is equivalent to (x'2-2)'5​

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer: D = x'10 − 10x'8 + 40x'6 − 80x'4 + 80x'2 − 32

Step-by-step explanation:

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There are 45 animals at the pet store. 12% are dogs, 24% are cats, 36% are fish, and 28% are other animals. Find the number of a
vivado [14]

Step-by-step explanation:

Dogs: 12% of 45= 5.4

Cats: 24% of 45= 10.8

Fish: 36% of 45= 16.2

Other: 28% of 45= 12.6

8 0
3 years ago
Four times a number, subtracted from sixteen . Is twice the number. Find the number
goldenfox [79]

Answer: 8/3

Step-by-step explanation:

5 0
2 years ago
a set of average city temperatures in december are normally distributed with a mean of 16.3°C and a standard deviation of 2°C. w
koban [17]

Answer:

19.74% of temperatures are between 12.9°C and 14.9°C

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 question, we have that:

\mu = 16.3, \sigma = 2

What proportion of temperatures are between 12.9°C and 14.9°C?

This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.

X = 14.9

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

Z = \frac{14.9 - 16.3}{2}

Z = -0.7

Z = -0.7 has a pvalue of 0.2420

X = 12.9

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

Z = \frac{12.9 - 16.3}{2}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.2420 - 0.0446 = 0.1974

19.74% of temperatures are between 12.9°C and 14.9°C

3 0
3 years ago
For which of the following inequalities is x ≥ 4 a solution
EastWind [94]
C. Add 3 to both sides to get x is greater than or equal to 4.
5 0
3 years ago
If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probabil
PtichkaEL [24]

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

7 0
2 years ago
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