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3 years ago

Which answer describes the type of sequence? 16, 12, 32, 92, ... neither arithmetic nor geometric geometric arithmetic

Mathematics

1 answer:

Elanso [62]3 years ago

8 0

Answer:

neither arithmetic nor geometric

Step-by-step explanation:

16, 12, 32, 92, ...

For arithmetic , there should be a common difference

16, 12, 32, 92, ...

Lets find the difference of two consecutive terms

12-16 = -4

32 - 12 = 20

92 - 32 = 60

Common difference is not same so it is not arithmetic

For Geometric , there should be a common ratio

16, 12, 32, 92, ...

Lets find the ratio of two consecutive terms

$\frac{12}{16} = \frac{3}{4}$

$\frac{32}{16} = 2$

$\frac{92}{32} = \frac{23}{8}$

Common ratio is not same , so it is not Geometric

So answer is neither arithmetic nor geometric

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Semmy [17]

Answer:

40,40 and 100

Step-by-step explanation:

You know the first two angles are identical, so let's call them x.

The third angle is 20 more than twice the measure of either angle, which means 2x+20.

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3 years ago

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

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Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

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uranmaximum [27]

Answer:

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