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Rudiy27
3 years ago
6

Can you simplify 21/32 and if you can what’s the answer

Mathematics
2 answers:
kumpel [21]3 years ago
6 0

Answer:

You cannot simplify \frac{21}{32} anymore.

But you can convert it to decimal form: 0.656 :)

Zarrin [17]3 years ago
6 0

Answer:

21/32

Step-by-step explanation:

You don't need to change anything because there is no way to simplify the fraction when trying to simplify you try to see what number can divide into the numerator and denominator and say you divide into the numerator you then have to divide into the denominator with the same number making it harder because you can't get decimals.

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Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car i
Vesna [10]

Answer:

(a) The histogram is shown below.

(b) E (X) = 4.2

(c) SD (X) = 2.73

Step-by-step explanation:

Let <em>X</em> = <em>r</em><em> </em>= a driver will tailgate the car in front of him before passing.

The probability that a driver will tailgate the car in front of him before passing is, P (X) = <em>p</em> = 0.35.

The sample selected is of size <em>n</em> = 12.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 12 and <em>p</em> = 0.35.

The probability function of a binomial random variable is:

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

(a)

For <em>X</em> = 0 the probability is:

P(X=0)={12\choose 0}(0.35)^{0}(1-0.35)^{12-0}=0.006

For <em>X</em> = 1 the probability is:

P(X=1)={12\choose 1}(0.35)^{1}(1-0.35)^{12-1}=0.037

For <em>X</em> = 2 the probability is:

P(X=2)={12\choose 2}(0.35)^{2}(1-0.35)^{12-2}=0.109

Similarly the remaining probabilities will be computed.

The probability distribution table is shown below.

The histogram is also shown below.

(b)

The expected value of a Binomial distribution is:

E(X)=np

The expected number of vehicles out of 12 that will tailgate is:

E(X)=np=12\times0.35=4.2

Thus, the expected number of vehicles out of 12 that will tailgate is 4.2.

(c)

The standard deviation of a Binomial distribution is:

SD(X)=np(1-p)

The standard deviation of vehicles out of 12 that will tailgate is:

SD(X)=np(1-p)=12\times0.35\times(1-0.35)=2.73\\

Thus, the standard deviation of vehicles out of 12 that will tailgate is 2.73.

4 0
3 years ago
Alisons mom was baking cupcakes for the school's bake sale.Each of her cupcake pans can hold up to 8 cupcakes.If she has 9 cupca
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The answer is 72!!


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8 0
3 years ago
Jordan volunteered for the same amount of time each day for 7 days. If he volunteered for 329 minutes altogether, how many minut
AVprozaik [17]

Answer:

47

Step-by-step explanation:

Just divide 329 by 7

That gives you 47

3 0
3 years ago
An artist is deciding between two different triangular shapes to use for a sculpture. The first triangle has a base of 20 feet a
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i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?
emmainna [20.7K]

Answer:

23 dimes and 7 quarters

Step-by-step explanation:

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4 0
3 years ago
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