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____ [38]
2 years ago
5

If A and B are sets and AUB=A∩B ,then which of the following true for A and B

Mathematics
1 answer:
stich3 [128]2 years ago
6 0

Answer:

A=B

Step-by-step explanation:

If AUB=A∩B then both A and B contain the values both have hence they're equal

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What is the answer to x+a=3/4
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A study was conducted in order to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a
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Answer:

The point estimate for \mu is 8.5 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem

We are working with a sample of 81 adults, so the point estimae of the mean  is the mean number of weekly hours that U.S. adults use computers at home.

So, the point estimate for \mu is 8.5 hours.

6 0
2 years ago
At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal
serious [3.7K]

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

\therefore x+y = 156\ \ \ \ \ \ equation\ 1

Now, according to question;

Total money = Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee

\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2

On multiplying by 10 on both side, we get;

97x+53y=10776\ \ \ \ \ \ equation\ 3

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57

Since x is the  number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

7 0
2 years ago
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