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1 year ago

The first three terms of a sequence are given. Round to the nearest thousandth (ifnecessary).3 33,2'4'Find the 8th term

1 answer:

4 0

You can notice that each term of the sequence has a denominator with powers of 2. The first term has 2 powered to 0, the second term has a 2 powered to 1 and so on. The numerator is always 3.

Then, for the n-th term, you have:

$a_n=\frac{3}{2^{n-1}}$

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A coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces. A random sample of 15 co

Luda [366]

Answer:

We conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

Step-by-step explanation:

We are given that a coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces.

A random sample of 15 containers were weighed and the mean weight was 31.8 ounces with a sample standard deviation of 0.48 ounces.

Let $\mu$ = mean weight of coffee in its containers.

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 32 ounces {means that the mean weight of coffee in its containers is at least 32 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ < 32 ounces {means that the mean weight of coffee in its containers is less than 32 ounces}

The test statistics that would be used here 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 mean weight = 31.8 ounces

s = sample standard deviation = 0.48 ounces

n = sample of containers = 15

So, the test statistics = $\frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }$ ~ $t_1_4$

= -1.614

The value of t test statistics is -1.614.

Now, at 0.01 significance level the t table gives critical value of -2.624 at 14 degree of freedom for left-tailed test.

Since our test statistic is more than the critical value of t as -1.614 > -2.624, 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 mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

8 0

3 years ago

Given -16 = m over 5 -18; prove m=10

Aleks04 [339]

$- 16 = \frac{m}{5} - 18 \\ = > - 16 = \frac{m - 18 \times 5}{5} \\ = > -16 \times 5 = m - 90 \\ = > - 80 = m - 90 \\ = > - 80 + 90 = m \\ = > 10 = m \\ = > m = 10$
Hence provided

3 0

3 years ago

Consider the graph of the equation y = 5. Which statements are true? Check all that apply.

levacccp [35]

Answer:

The graph of y=5 is a horizontal line. The point (-4, 5) lies on the lines.

Step-by-step explanation:

This is horizontal because 5 on the y axis is always going to stay the same. For any x value, the y value is 5. Therefore, (-4, 5) is part of that line.

6 0

2 years ago

(giving brainiest and thanks on the answer and question if correct!

liraira [26]

Answer:

it is option A

Step-by-step explanation:

4 0

2 years ago

What is 2/5 × 3/18? trying to determine my teachers abilty.

Korvikt [17]

Answer:

1/15

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers