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Mkey [24]
3 years ago
15

What is 14/5 as a mixed number ?

Mathematics
2 answers:
Inessa [10]3 years ago
6 0

Answer: 2 and 4/5

Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.

\sqrt[5]{14} = 2 with a remainder of 4

Therefore, 14/5 can be written as the mixed number 2 and 4/5.

mash [69]3 years ago
4 0
2 and 4/5 is 14/5 as a mixed number.
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In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability tha
zimovet [89]

Answer:

a) The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

b) P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

c) 1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

d) P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

e) P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

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".

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

X \sim Binom(n=50, p=0.4)

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!}

Part a

The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

Part b

For this case we want to find this probability:

P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

Part c

1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

Part d

We want this probability:

P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

Part e

For this case we use the continuity correction and we have this:

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

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3 years ago
The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How fa
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(2 * 70) + (3 * 35) = 140 + 105 = 245 miles
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3 years ago
Help pleaseeeeeee !!!
xxMikexx [17]

Answer:

Step-by-step explanation:

6 is the maximum value

so the inequality is

x ≤ 6

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Step-by-step explanation:

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2 years ago
Check my Work: Factoring for 2y^+9y-18 is (2y-3) (y+6) true or false?
Alexxandr [17]

It is true because when you separate 2y^2 +9y -18, you are supposed to get the factors (2y-3)(y+6), when you multiply this it gives you the first equation, we know this because when we multiply the first term it gives us exactly 2y^2 and if we multiply the last ones it gives you -18, now here is the tricky part, when we multiply the middle part we get 12y and -3y, when we add these up we get 9y, now is that the same middle as in the equation? Yes… then our factors are correct making this true


Hope this helps

7 0
3 years ago
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