What is 5 to the power of 20 times 4 to the power of 13

an economic research commission claimed that among the 500 stores there are 308 dealing with european companies, 266 dealing wit

Rudiy27

Step-by-step explanation:

Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies

i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942

ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384

iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326

iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206

Easy, right?

Then mark as brainlist!

5 0

2 years ago

Find P(Red King | Face Card) ?

Brrunno [24]

Answer:

oof

Step-by-step explanation:

6 0

3 years ago

How do you solve (7^-1)^-1 and 5^2 * 5^4 * 5^-3

Katyanochek1 [597]

Answer:

Step-by-step explanation:

exponents raised to a - power is an inverse function probably not the right word

a^-b = 1/(a^b) example 4^-2 = 1/(4^2) = 1/16

so (7^-1)^-1 is a double inverse which is back to the original number 7

inverted 7 twice

(7^-1)^-1 = (1/7)^-1 = 1/(1/7) = 7 trust me or use your calculator

since the coeffients are the same just add the powers... some exponent rule

5^2 * 5^4 * 5^-3 = 5^(2+4-3) = 5³

here is it written out

5^2 * 5^4 * 5^-3 = 5² × 5^4 × 5^-3 = (5×5) × (5×5×5×5) × (1/5×1/5×1/5)

5×5 × 5× (5×5×5 × 1/5×1/5×1/5) (5×5×5 × 1/5×1/5×1/5) = 1

5×5×5 = 5³

so

7 0

3 years ago

Which of the following scenarios MUST represent two independent events?

egoroff_w [7]

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

7 0

2 years ago

Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) $\pi + (-\pi) = 0$

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

$1 - 2 = -1$

$5 - 5 = 0$

$\frac{1}{2} - \frac{1}{4} = \frac{1}{2}$

$4 - 2 = 2$

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

In the given options (a) to (d), only

$\pi + (-\pi) = 0$ is not close under addition because:

$\pi$ is irrational while $0$ is rational

<em>In other words, they belong to different set</em>

8 0

3 years ago