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Goryan [66]
3 years ago
9

You are the crew chief of the Algebra 2 formula racing team. Your current tasla is to determine fuel consumption of both cars. C

ar A travel 3x + 9 miles and Car B travels 5x + 15 miles. Based upon tire wear (x) , the cars will use 2x ^ 2 + 6x gallons of fuel. What is the total mileage for both cars?
Mathematics
1 answer:
noname [10]3 years ago
5 0

Answer:

                                         

Step-by-step explanation:

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What is the length of the line segment between point (-5,8) and point (-5,-4).
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Answer:

12 would be the distance between the two points

Step-by-step explanation:

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Sarah said that 0.000 01 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sar
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I DONT UNDERSTAND YOUR QUESTION
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Please I’ll mark brainliest if you get it right
SpyIntel [72]
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both of the missing sides are equal to 4
3 0
3 years ago
Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbic
jolli1 [7]

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234

Distribution of the difference:

p = p_h - p_n = 0.575 - 0.125 = 0.45

s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034

Confidence interval:

The confidence interval is:

p \pm zs

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower bound is 0.45 - 1.96(0.034) = 0.3834

The upper bound is 0.45 + 1.96(0.034) = 0.5166

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

3 0
3 years ago
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp
jeka94
Josh has hiked 17 km, which is 2 km away from being 1/2 done. 
<span>In a equation, this might look like: 17 + 2 = (1/2)h </span>
<span>where h is the length of the hike. </span>
<span>and solve for h, h = 38 km

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
7 0
3 years ago
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