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3 years ago

A baker uses a coffee mug with a diameter of 8cm to cut out circular cookies from a big sheet of cookie dough.

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

The forumula for finding area of the circle is \pi r^2.

Step-by-step explanation:

Let's find the radius of the mug:

r=\frac{d}{2}=\frac{8}{2}=4

Now, we can to express the area of each cookie in terms of pi:

Area= \pi *4^2=16\pi

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If you could show the steps that would be great

zvonat [6]

Answer:

24x + 8

Step-by-step explanation:

4 + 16 - 12(1 + 2x)

Solve

Show steps

__________________

We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.

Distribute :

4 + 16 - 12(1 + 2x)

4 + 16 - (12(1) + 12(2x))

4 + 16 - 12 + 24x

Use PEMDAS (Add left to right) :

4 + 16 - 12 + 24x

20 - 12 + 24x

8 + 24x

24x + 8

4 0

3 years ago

Read 2 more answers

Evaluate the following expression for x = –2 and y = –4.

elena55 [62]

Step-by-step explanation:

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3 years ago

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Sedaia [141]

Answer:

Step-by-step explanation:

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3 years ago

L = $20 r = 4% t = 2 years

Annette [7]

I'm guessing this is a question about interest rates? If you have $20 that increases by 4% in one year, you need to multiply 20 by 1.04. This gets you $20.8.

If you are talking about compound interest, we will take this number and multiply it again by 1.04 for the second year. 20.8 x 1.04 = $21.632.

If it is instead simple interest, we will simply add another .8 dollars for each year, instead of getting 4% interest compounded every year onto the new value. This gets you $21.6.

7 0

3 years ago

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

$x_A = 23$ $x_B = 57$