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Yakvenalex [24]
3 years ago
10

how do i write and solve an equation for the total number of possible combinations from flipping a coin 10 times.

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0
Your answer is 1024.  2^ 10 
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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
Ricardo's Appliance is having a 35% off sale on
Salsk061 [2.6K]

the answerrrrrrr is

356.85

8 0
3 years ago
Let x △ y be defined by x △ y=x−5y. What is the value of 3 △  (−4)
TEA [102]

x\Delta y=x-5y\\\\3\Delta(-4)\qquad\text{put the values x = 3 and y = -4 to the expression x - 5y}:\\\\3\Delta(-4)=3-5(-4)=3+20=23

5 0
3 years ago
I'm lost on this please help
Natasha2012 [34]

Answer:

integer-4

proper fraction-1/10

improper fraction-0/4

Step-by-step explanation:

do not copy in the internet

8 0
3 years ago
Find x. Round your answer to the nearest tenth of a degree . Please help I will mark brainliest
Oksana_A [137]

Using trigonometric ratio, the value of x is 63.6°

<h3>Trigonometric Ratio</h3>

This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Trigonometric ratio are often coined as SOHCAHTOA

In the given triangle, we need to find the value of x using trigonomtric ratio.

Since we have the value of adjacent and hypothenuse, we definitely need to use cosine

cosθ = adjacent / hypothenuse

adjacent = 4

hypothenuse = 9

Substituting the values into the equation;

cos θ = 4 / 9

cos θ = 0.444

θ = cos⁻¹ 0.4444

θ = 63.6°

Learn more on trigonometric ratio here;

brainly.com/question/24349828

#SPJ1

7 0
1 year ago
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