All categories

3 years ago

Barbecue tools cost $12 plus 5% sales tax. What amount is the tax?

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

I believe the sales tax is 60 cents

Step-by-step explanation:

12x.05=.6

You might be interested in

An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t

olchik [2.2K]

Answer:

a) 0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire

b) 0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The sprinklers activate correctly or not independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that $p = 0.7$

10 sprinklers.

This means that $n = 10$

a. What is the probability that all of the sprinklers will operate correctly in a fire?

This is $P(X = 10)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282$

0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire.

b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?

This is:

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 7) = C_{10,7}.(0.7)^{7}.(0.3)^{3} = 0.2668$

$P(X = 8) = C_{10,8}.(0.7)^{8}.(0.3)^{2} = 0.2335$

$P(X = 9) = C_{10,9}.(0.7)^{9}.(0.3)^{1}= 0.1211$

$P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282$

Then

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2668 + 0.2335 + 0.1211 + 0.0282 = 0.6496$

0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

7 0

3 years ago

Brainliest for anyone if they get this CORRECT.

oee [108]

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

4 0

3 years ago

Please help quickly with this

ladessa [460]

Answer:

x=574

Step-by-step explanation:

it says that on my caculater.

8 0

3 years ago

Read 2 more answers

Please need help with #1 it is so confusing

vfiekz [6]

Answer: circle 2 and 5

Step-by-step explanation:

The problem is asking which number can 428 by divided by evenly.

Step 1: 428 divided by 2 is 214 Since it was evenly divided, you circle 2. It is the same for 4.

Step2: Keeping dividing each of the numbers to see if 428 can by divided by the number. If the answer comes out as a decimal number than don’t circle.

7 0

3 years ago

If you are asked to find 621 divided by 59, how do you know the quotient will be greater than 10 before you actually divide. (my

Nitella [24]

For me, I know that this answer would be greater than 10 because for a fact, 621 and 59 aren't just perfect multiples of 10. But I don't know, because all humans don't really think alike. So, your teacher might say this doesn't work. Then in that case, I am very sorry. :0

But in any case, I hope this helps and have a good night! :D

4 0

3 years ago