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Tatiana [17]
2 years ago
8

What is the next fraction in this sequence? 1 3 9 27 280, 280, 280, 280 /

Mathematics
1 answer:
WITCHER [35]2 years ago
8 0

Answer:

the answer is 81 over 280

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Nora biked 8 miles north from her school to a park. Nora's brother rode a bus 15 miles
iVinArrow [24]
Park and the music store
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3 years ago
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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
4. A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The
notsponge [240]

Answer:

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

Step-by-step explanation:

1 batch

Yellow water = 3 teaspoons

Red water = 1 teaspoons

Yellow water : Red water = 3 : 1

2 batches of orange water

Multiply the ratios by 2

Yellow water : Red water

= (3 : 1) * 2

= 6 : 2

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water

Multiply the ratios by 4

Yellow water : Red water

= (3 : 1) * 4

= 12 : 4

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

4 0
3 years ago
What is true of the data in the dot plot? Check all that apply.
otez555 [7]

True answers for data in the plot are

The center is 13

The center is not 14

The Peak is 14.

It has three clusters

It is not symmetric to left or right it is bi-modal.

It is has a range from 10 to 15 most number of data points are 13 to 15.

Total number times Shelly waited is 16 times.

Step-by-step explanation:

  • While taking cumulative frequency 56.75 percentage comes in 13%.
  • It is the center point of the data.
  • The 14  is not the center as it shows 93rd percent.
  • It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.
  • It is not skewed on the left is has bi modal frequency has two heights.
  • The person indeed waited for 16 times adding total dots.
  • There was a zero 12 which created bi-modal distribution

8 0
3 years ago
Read 2 more answers
Can anyone help with this?
Mademuasel [1]

Answer:

error

Step-by-step explanation:

8 0
3 years ago
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