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vovikov84 [41]
2 years ago
13

Write each statement as a decimal to two decimal places.

Mathematics
1 answer:
Ad libitum [116K]2 years ago
5 0

Step-by-step explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75

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For which of the following counts would a binomial probability model be reasonable? a. The number of traffic tickets written by
timama [110]

Answer:

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 assuming numbers (0,1,2,3,4,5,6,7,8,9) so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n, p)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The conditions to apply this distribution is that we have the parameters fixed n and p.

Let's analyze one by one the possible solutions:

a. The number of traffic tickets written by each police officer in a large city during one month.

False, the number of traffic tickets written by each police is not a fixed amount always, so then the value of n change and we can't apply a binomial model for this case.

b. The number of hearts in a hand of five cards dealt from a standard deck of 52 cards that has been thoroughly shuffled.

False, not all the hands of size 5 are equal and since we can't ensure this condition then the binomial model not apply for this case

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

d. The number of phone calls received in a one-hour period.

False, the number of phone calls change by the hour and is not always fixed so then we don't have a valu for n, and the binomial model not applies for this case.

e. All of the above.

False option C is correct.

5 0
2 years ago
a circuit overloads at 1800 watts of electricity you plug a microwave oven that uses 1100 watts into the circuit write and solve
Bogdan [553]
Let w be the additional watts you can add on the circuit.

1100 + w < 1800 (write the inequality)
-1100 -1100 ( - 1100 from each side)

w < 700 (simplify)


ANSWER:
You can add up to 700 watts to the circuit, which means that you can also plug in the clock radio and the blender.


LOOK BACK:
You can check that your answer is correct by adding the numbers of watts used by the microwave oven, clock radio and blender.

1100 + 50 + 300 = 1450

The circuit will not overload because the total wattage is less than 1800 watts.
5 0
3 years ago
Read 2 more answers
2/3 time g equals 45<br><br> What does g equal
lions [1.4K]

Answer:

g=7.5

Step-by-step explanation:

2/3g=45

divide both sides by 2/3

g=7.5

or

g=7 1/2

7 0
2 years ago
Read 2 more answers
A swimming pool is open for 7 1/2 hours during the day the pool keeps one lifeguard shift is 1 1/16 hours long how many shifts a
mariarad [96]

Answer:

7 1/17 shifts

Step-by-step explanation:

That would be 7 1/2 divided by 1 1/16

=  15/2 / 17/16

= 15/2 * 16/17

= 15 * 8  /  17

=  120/17

= 7  1/17  shifts

6 0
3 years ago
Calculate the lengths of the 2 unlabeled sides...
elixir [45]
Since it’s a square we know that GJ has to be the same as GH. To find a diagonal you would do a^2 + b^2 = c^2. Which gives us about 9.19. So GJ=6.5 and JH=9.2
3 0
2 years ago
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