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Dmitriy789 [7]
2 years ago
14

steven just deposited $10,000 in a bank account that has a 12 percent nominal interest rate, and the interest is compounded mont

hly. steven also plans to contribute another $10,000 to the account one year (12 months) from now and another $20,000 to the account two years from now. how much will be in the account three years (36 months) from now?
Mathematics
1 answer:
Dafna11 [192]2 years ago
3 0

Answer:

$39,999.52

Step-by-step explanation:

10,000 - 12% = 9,999.88

9,999.88 x 4 = 39,999.52

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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
Someone! Please help me!
marusya05 [52]
The lines are parralel

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3 years ago
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it costs $5.50 per hour to rent a pair of ice skates, for up to 2 hours. After 2 hours, the rental cost per hour decreases to $2
laila [671]
$5.50 x 2 is $11.00
$2.50 x 2 is $5.00
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6 0
3 years ago
Jamie has 2 pounds of butter, she used 3/8 pounds of butter, how much butter is left?
irga5000 [103]
Basically 3/8 "times" 2 

The equations

8/2 = 4

So it will be 3/4

Correct me if I'm wrong!
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What is the common difference in this sequence: 5, 17, 29, 41, 53?
irina1246 [14]
The common difference is 12.
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3 years ago
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