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sesenic [268]
3 years ago
7

Help please!!!!

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0
18  The 2 trapezia formed by midpoint are similar so we can write

19/24 = x / 19

x = 19^2 / 24 = 15.04 

19.   360 degrees . This is true for all polygons
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Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of
tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A                          Sample B

x_A = 30                              x_B = 50

n_A = 100                             n_B =250

Solving (a): Standard error using formula

First, calculate the proportion of A

p_A = \frac{x_A}{n_A}

p_A = \frac{30}{100}

p_A = 0.30

The proportion of B

p_B = \frac{x_B}{n_B}

p_B = \frac{50}{250}

p_B = 0.20

The standard error is:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}

SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}

SE_{p_A-p_B} = \sqrt{0.00274}

SE_{p_A-p_B} = 0.052

Solving (a): Standard error using bootstrapping.

Following the below steps.

  • Open Statkey
  • Under Randomization Hypothesis Tests, select Test for Difference in Proportions
  • Click on Edit data, enter the appropriate data
  • Click on ok to generate samples
  • Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A                          Sample B

x_A = 23                              x_B = 57

n_A = 100                             n_B =250

p_A = 0.230                          p_A = 0.228

So, we have:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}

SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}

SE_{p_A-p_B} = \sqrt{0.002475064}

SE_{p_A-p_B} = 0.050

5 0
2 years ago
If the equation of a circle is x-2 + y-6 = 4 it passes through point
Shtirlitz [24]
35 because you add 3 and 6 and that gives you 35x
6 0
3 years ago
If y= -3x7+2x3+ x, the derivative of y with respect to x is
larisa [96]

Answer:

\frac{dy}{dx} = - 21x^{6} + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

Given

y = - 3x^{7} + 2x³ + x , then

\frac{dy}{dx} = (7 × - 3 )x^{6} + (3 × 2)x² + (1 × 1 )x^{0}

    = - 21x^{6} + 6x² + 1

8 0
3 years ago
Will Give Brainliest!<br><br> f(1) = -3<br><br> f(n) = 2 * f(n-1) + 1<br><br> f(2) = ?
insens350 [35]

Answer:

f(1) = -3 f(n) = 2 f(n - 1) + 1 f(2)

Alternate form:

{f(n) = -f(1)/3, f(n - 1) = f(1)/2 - f(2)/2}

5 0
2 years ago
Read 2 more answers
|-13\ = -(-13)<br> True False?
kolbaska11 [484]

Answer:

This statement is true.

Step-by-step explanation:

The absolute value is how far the number is from zero, so how many steps will it take on a number line to get from that particular number to zero?

Since you can't have negative steps, The -13 in absolute value would be 13.

The -(-13) is the same thing as saying  -1 ( -13 ). Since negative times a negative is a positive, 13=13 is a true statement.

7 0
2 years ago
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