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cluponka [151]
3 years ago
10

What is the coefficient of q in the sum of (2/3q-3/4) and(-1/6q-r)?

Mathematics
2 answers:
Phantasy [73]3 years ago
7 0

Answer:

The coefficient is 1/2

Step-by-step explanation:

sorry don't  have time to do it but it definitely is 1/2

Harlamova29_29 [7]3 years ago
6 0

Answer:

The coefficient is \frac{1}{2}

Step-by-step explanation:

The given sum is

(\frac{2}{3}q -\frac{3}{4})+(-\frac{1}{6}q-r)

We can choose to add only the coeffients of q or simplify the whole sum.

=\frac{2}{3}q -\frac{1}{6}q-\frac{3}{4})-r)

We collect the LCM for the q terms;

=\frac{4-1}{6}q-\frac{3}{4})-r)

This will give us;

=\frac{3}{6}q-\frac{3}{4})-r)

Which is the same as

=\frac{1}{2}q-r-\frac{3}{4}

The coefficient is \frac{1}{2}

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The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
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Answer:

1780s to 1830s

Step-by-step explanation:

Pollution is not a new phenomenon. In fact, pollution has been a problem since the appearance of our earliest ancestors (Markham, 1994). Increasing human populations have opened the door to more bacteria and disease. During the Middle Ages, diseases such as cholera and typhoid fever broke out all across Europe.

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3 years ago
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What is the solution set for 2+6−16=0
sattari [20]

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Do the addition first because of using PEMDAS

P= parenthesis

E= exponents

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3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 2-4 over 2-4 and it equals 1

hope this helps:)

8 0
3 years ago
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