Evaluate the following expression: -2|9|. -18 -11 11 18

A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she la

SpyIntel [72]

$\displaystyle |\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\ |A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\ P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\%$

8 0

3 years ago

Finding the area of a regular polygon

ddd [48]

<h2>Solution:</h2>

360° ÷ 10 ÷ 2 = 18°

So the length of the decagon side is:

10 × tan18° × 2 = 20 × tan18°

The area is: ½ × 20 × tan18° × 10 × 10 = 1000 × tan18°

≈ 324.9

.: 324.9 is the final answer.

I hope this helps. 

5 0

2 years ago

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation

netineya [11]

THIS IS THE COMPLETE QUESTION BELOW;

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.

Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answer

Margin error =210.8

Given:

standard deviation of 425

sample mean x=1520 dollars.

random sample n= 22

From the question We need to to calculate the margin of error for the confidence interval for the population mean .

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

4 0

3 years ago

To make the chocolate shake, Dona added 40 mL of chocolate syrup,

Vsevolod [243]

Answer:

0.225 L of milk, would be required if she uses 450 m L of water.

Step-by-step explanation:

Here, to make the shake, ingredients used by Dina are:

40 m L of chocolate syrup,

200 m L of milk, and 400 m L of water.

So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)

Now,again the amount of water used by Dona = 450 m L

Let us assume the milk used by her = k m L

⇒ 450 m L = 2 x ( k m L) ( from (1))

or, 450 = 2 k

⇒ k = 450/2 = 225

⇒ k = 225 m L

Also, 1 m L = 0.001 L

So, 225 m L = 225 x 0.001 = 0.225 L

⇒ k = 0.225 L

Hence, 0.225 L of milk, would be required if she uses 450 m L of water.

5 0

3 years ago

How do you find 8% of a whole number?

Natalka [10]

The number minus 8%.

3 0

3 years ago

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