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2 years ago

If ξ={1 , 2 , 3 , . . . , 8 , 9 , 10}

Mathematics

2 answers:

DENIUS [597]2 years ago

7 0

Answer:

{1,4}

Step-by-step explanation:

A={3,6,9}

B={2,3,5,7}

C={1,2,3,4,5}

AUB={2,3,5,6,7,9}

(AUB)'={1,4,8,10}

(AUB)'⋂C={1,4}

Sliva [168]2 years ago

7 0

Answer:

Step-by-step explanation:

A = {3 , 6 , 9}

B = {2,3,5,7}

A ∪ B = { 2,3,5,6,7,9}

(A∪B)' - is set of all elements in universal set that are not in (A∪B)

(A∪B)' = {1,4,8,10}

C = {1,2,3,4,5}

(A∪B)' ∩C = {1 , 4}

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Can someone please answer. There is one problem. There's s picture. Thank you!

Pepsi [2]

The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get $180-(57+90)=33\textdegree.$

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

$\frac{\sin(A)}{a} = \frac{\sin(B)}{b}$

For this problem, we'll let the height of the hot air balloon be $a=15$ and its respective opposite angle be $A=33\textdegree$ , and let the missing x-distance be $b$ , with its respective opposite angle $B=57\textdegree$ . Note, we're solving for $b$ .

$\frac{\sin(33)}{15} = \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3$

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.

8 0

3 years ago

Which is the value of this expression when p = -2 and q = -1?

Pie

Answer:

Here is the ans...hope it helps:)

7 0

1 year ago

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier stud

SSSSS [86.1K]

Answer:

The large sample n = 190.44≅190

The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

<u>Step-by-step explanation</u>:

Given population proportion was estimated to be 0.3

p = 0.3

Given maximum of error E = 0.04

we know that maximum error

$M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }$

The 85% confidence level $z_{\alpha } = 1.44$

$\sqrt{n} = \frac{Z_{\alpha } \sqrt{p(1-p)} }{m.E}$

$\sqrt{n} = \frac{1.44X\sqrt{0.3(1-0.3} }{0.04}$

now calculation , we get

√n=13.80

now squaring on both sides n = 190.44

large sample n = 190.44≅190

<u>Conclusion</u>:-

Hence The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

7 0

3 years ago

If 66 oranges cost $15, how many oranges can be purchased for $5?

Rasek [7]

Answer:

22 oranges

Step-by-step explanation:

$15 --- 66 oranges

$5 --- $\frac{5}{15}$ × 66 oranges = 22 oranges