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Arisa [49]
3 years ago
13

Express 75° in radians. Round to the nearest hundredth.

Mathematics
1 answer:
allsm [11]3 years ago
7 0
Hello!

To convert degrees to radians you multiply it by \frac{ \pi }{180}. We will do so below.

75(\frac{ \pi }{180})≈1.31

Therefore, the correct answer is A.1.31 radians.

I hope this helps!
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-6(a+8) how do I simplify ?
Norma-Jean [14]
-6(a+8) =-6a+(-6)\cdot 8=-6a-48


6 0
3 years ago
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only
PtichkaEL [24]
I think the answer is 78.
7 0
3 years ago
Read 2 more answers
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
3 years ago
Katerina is a botanist studying the production of pears by two types of pear trees. she noticed that Type A trees produced 20 pe
Ronch [10]

Answer:

120 pears

Step-by-step explanation:

Let the  number of pears produced by Type B be x

Number of pears  produced by type A=144

  According to question

Type A produce 20% more pears than B

x+ x ×20%= 144

x+x×\frac{20}{100}= 144

\frac{100x+20x}{100}= 144

\frac{120x}{100}=144

x= 144×\frac{100}{120}

x=120 pears

Hence, Number of pears produced by B= 120 pears

Hence, the correct answer is 120 pears

5 0
3 years ago
(2 different questions)
kompoz [17]
1. m+n
2. n years old
8 0
2 years ago
Read 2 more answers
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