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2 years ago

I need help showing work

Mathematics

2 answers:

Marta_Voda [28]2 years ago

7 0

don't know sorry mate

snow_tiger [21]2 years ago

4 0

Answer:

yawa ka ah diyan module tae yan hahaha

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Find the number of elements in A1 ∪A2 ∪A3 if there are 100 elements in A1, 1000 in A2, and 10,000 in A3 if a) A1 ⊆ A2 and A2 ⊆ A

Stella [2.4K]

Answer:

Step-by-step explanation:

Given that there are 3 sets such that there are 100 elements in A1, 1000 in A2, and 10,000 in A3

a) If A1 ⊆ A2 and A2 ⊆ A3

then union will contain the same number of elements as that of A3

i.e. $n(A1 ∪A2 ∪A3)=n(A3) =10000$

b) If the sets are pairwise disjoint.

union will contain the sum of elements of each set

$n(A1 ∪A2 ∪A3) = 100+1000+10000=11100$

c) If there are two elements common to each pair of sets and one element in all three sets

We subtract common elements pairwise and add common element in 3

i.e. $n(A1 ∪A2 ∪A3) = 100+1000+10000-2-2-2+1\\= 10995$

5 0

3 years ago

If y is directly proportional to x and when y = 35, x = 140, what is the value of x when y = 70?

levacccp [35]

Answer: 280 = x

Step-by-step explanation: Okay you are using this equation! y = kx But you must rearrange it!

When rearranged you get y/x = k

Plug in x and y!

y/x = k

35/140 = k

0.25 = k

Now find the value of x.

You use this formula now, y/k = x

Plug in k from the last problem and y = 70

y/k = x

70/0.25 = x

280 = x

6 0

3 years ago

8z+12+3

yarga [219]

Answer:

8z+15

Step-by-step explanation:

7 0

3 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%20%3D%20%284x3%20%2B%202x%291" id="TexFormula1" title="y = (4x3 + 2x)1" alt="y = (4x3 + 2x)1

Amanda [17]

I think it’s dy/dx=2

4 0

3 years ago