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Ad libitum [116K]
3 years ago
12

Is 3 hours and 30 minutes more or less than 20% of a day?

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
It would be less then 20%

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Find the value of x and the value of y
marshall27 [118]
Right triangle 30 60 90
short leg = 1/2 hypo = 4√2 / 2 = 2√2
so x = 2√2

long leg = short leg times √3 = 2√2 * √3 = 2√6
so y = 2√6

answer C. 
x = 2√2 ; y = 2√6
5 0
3 years ago
When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one
Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So 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.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that p = 0.75

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

P(X = 6) + P(X < 6) = 1

We want P(X < 6). So

P(X < 6) = 1 - P(X = 6)

In which

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

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18

P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82

0.82 = 82% probability that at least one party will not order drinks

5 0
3 years ago
Read 2 more answers
How many odd positive integers less than 300 can be written using the numbers 2,4,5,and 8
DENIUS [597]

Answer:

4!

Step-by-step explanation:

Given four numbers 2, 4, 6, 8.

The numbers can be arranged to form an odd number which is less than 300.

That means we have three spaces to fill this. We can try out the different combination of the numbers.

Note that the numbers should be odd. So, in the unit digit should only be 5. 2, 4, 8 would make the number even.

Also, the first digit can only be two because other numbers would make it bigger than 300.

So, 2 ___ 5 is fixed. The middle digit could be any of the four.

So, 225; 245; 255 and 285 all satisfy the conditions.

So, four numbers can be formed.

5 0
3 years ago
True or false: in order to fill the following box, you would need to fill in 2 unit cubes in length, 2 unit cubes in width, and
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

True

7 0
3 years ago
Help me please someone. Im giving brainliest!!
rodikova [14]

Answer:

19

Step-by-step explanation:

114 divided by 6

7 0
3 years ago
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