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4 years ago

6

What is the vertex of the graph of y = 2(x − 3)2 + 4?

1 answer:

Katarina [22]4 years ago

3 0

In the form y=a(x-h)^2+k
the vertex is (h,k

y=2(x-3)^2+4
vertex is (3,4)

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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

3 years ago

40 - (6 + 2) x (5 - 2)<br> what answer solved in pemdas form

gulaghasi [49]

Answer:

i dont know what level this is

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Each swing that Susan builds requires $10 in hardware and $20 in wood. She uses the expression 10 + 20 to represent the total co

jenyasd209 [6]

The answer is C. If the original equation is 10+20 for one swing, you multiply that by 3 to get the cost of three swings

7 0

3 years ago

Will the quotient 7,818 divided by 25 be greater than 100 or less than 100? How do you know?

True [87]

Answer:it would be way over 100 because If you do the math it comes out as 312.73….. therefore it’s higher than 100 hope this helped hunny boo

4 0

2 years ago

Which of the following must be equal to 30% of x?

Nimfa-mama [501]

Answer:

You can go ahead with option D

Step-by-step explanation:

<h2>30% of x will be 3x</h2>

5 0

3 years ago