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Anna [14]
3 years ago
6

Allen packed 60 balloons equally into 10 bags. How many balloons did Allen pack in each bag?

Mathematics
2 answers:
ki77a [65]3 years ago
8 0
He put 6 baloons in each bag
zalisa [80]3 years ago
3 0
60 divided by 10 = 6 per bag
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For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills
Evgen [1.6K]

Answer:

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

P(0)=q^4=0.16^4=0.00065536

Thus, the probability that at least one of the systems detect the theft is

P(x\geq1)=1-P(0)=1-0.00065536=0.9993

That means a 99.93%

3 0
3 years ago
Pluto is looking into joining a gym. He has a budget of $68 per month. The gym he wants to join has fees based on the number of
Artist 52 [7]
7(10 visits) ≤ 68
70 ≤ 68
Not Viable


7(9 visits) ≤ 68
63 ≤ 68
Viable


The first solution is not viable because 10 visits will give a total cost of $70 per month, which is $2 over his monthly budget of $68.

The second solution is viable. He could visit the gym a maximum of 9 times per month for a total of $63 a month and that will be under his $68 monthly budget.

Hope this helps! :)
6 0
3 years ago
In a circle, what is the ratio of the circumference to its diameter?
NemiM [27]

Answer:

D. pi

Step-by-step explanation:

Circumference of a circle = \pi d

Diameter = d

Therefore, ratio of circumference of a circle to its diameter would be:

\pi d : d

= \frac{\pi d}{d} = \pi => (d cancels d)

Therefore, the ratio of the circumference of a circle to its diameter is \pi

4 0
3 years ago
Find equation to this line​
kondor19780726 [428]

Answer:

the equation of this line is y= 1x+6

8 0
3 years ago
How did they get this
katrin2010 [14]
Somewhere in the text, it must say that x = 2 and y = -1 or else, the values just seem made up out of thin air. 
3 0
3 years ago
Read 2 more answers
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