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4 years ago

Which is a linear function?

Mathematics

1 answer:

alekssr [168]4 years ago

3 0

Answer:

•{(-2,6), (-1,3), (0,0), (1, -3), (2,-6)}

Step-by-step explanation:

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A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.01 = 0.99$ , so Z = 2.327.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

3 years ago

(4/3a - 3c - 5b) + (-a-2b+4c)

Darina [25.2K]

━━━━━━━☆☆━━━━━━━

▹ Answer

1/3a + c - 7b

▹ Step-by-Step Explanation

(4/3a - 3c - 5b) + (-a - 2b + 4c)

Remove the parentheses

(4/3a - 3c - 5b) + (-a - 2b + 4c)

Rewrite

4/3a - 3c - 5b - a - 2b + 4c

Calculate

1/3a - 3c - 5b - 2b + 4c

Final Answer

1/3a + c - 7b

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

5 0

4 years ago

Please help. I don't get this.

vredina [299]

Answer:

5.5

Step-by-step explanation:

1+1+1 3/4+1 3/4= 5.5

5.5*2=11

11/2=5.5

5 0

3 years ago

PLEASE ANSWER + BRAINLIEST!!!!

kupik [55]

So, let's begin...
First off, you must note that the question is asking for the d value when you substitute the value of c(x).
You are given the following information:
1. The c(x) value is already given to be 0.75x.
2. The equation to find d of (any value) is 0.8y-5.

So, substitute the value of 0.75x as a y value into 0.8y - 5. This is because you are substituting the value of c(x) for d. This is equal to 0.8 times 0.75x - 5. This is equal to 0.6x - 5, which is the function. Thus, your final answer is d(c(x)) = 0.6x - 5.
If you have any questions please comment. Otherwise, hope this helps! :)

6 0

4 years ago

What is the solution to 0.6(24x-32)=0.8(24-6x)?

Helen [10]

You would have to move terms which will bring you to 14.4 x - 19.2 = 19.2 - 4.8x the you would combine like terms then you would get 19.2x= 38.4 then you divide both sides by 19.2 and get 2 as your answer.

5 0

3 years ago

Read 2 more answers