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3 years ago

What is the next term of the geometric sequence? 5,20,80

Mathematics

2 answers:

lyudmila [28]3 years ago

7 0

Answer:

320

Step-by-step explanation:

By analyzing the sequence carefully, we notice that each number (n) is being multiplied by 4.

Therefore, the next integer in the sequence will be the most recent integer (n) multiplied by 4.

In that case, we have 80 * 4 = 320 as our final answer.

PIT_PIT [208]3 years ago

3 0

Answer:

320

Step-by-step explanation:

5x4=20, 20x4=80, so that means the sequence is just multiplying by 4. 80x4=320, which is your answer.

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Sally has a GPA of 3.35. What percentage of the students have a GPA above her GPA?

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I'm hoping it might be around the .65 percentile?

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3 years ago

The weights of cockroaches living in a typical college dormitory are approximately distributed with a mean of 80 grams and a sta

Romashka [77]

Answer:

The percentage of cockroaches weighing between 77 grams and 83 grams is about 55%.

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:

$\mu = 80, \sigma = 4$

The percentage of cockroaches weighing between 77 grams and 83 grams

This is the pvalue of Z when X = 83 subtracted by the pvalue of Z when X = 83. So

X = 83

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

$Z = \frac{83 - 80}{4}$

$Z = 0.75$

$Z = 0.75$ has a pvalue of 0.7734

X = 77

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

$Z = \frac{77 - 80}{4}$

$Z = -0.75$

$Z = -0.75$ has a pvalue of 0.2266

0.7734 - 0.2266 = 0.5468

Rounded to the nearest whole number, 55%

The percentage of cockroaches weighing between 77 grams and 83 grams is about 55%.

7 0

4 years ago

Enter the inequality given by the graph below.

Rudiy27

The slope of the line is: m=(5-0)/(-3-2)=-1
y=-x+b
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so the equation of the line is y=-x+2
it is dotted, so they should be an equal sign.
the shaded part is to the right, above the line, so it is a >
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4 years ago

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VikaD [51]

Answer:

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3 years ago

Carlo wants to use a rain gauge to measure the amount of water his lawn is receiving from the sprinklers. Which rate is appropri

WARRIOR [948]

Answer:

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Step-by-step explanation:

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4 years ago

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