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dexar [7]
3 years ago
12

What is the answer please asap !!

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

KL=2

Step-by-step explanation:

JK+KL=JL

3x+x+1=5

4x=5-1

4x=4

x=1

KL=x+1

KL=2

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A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwo
tamaranim1 [39]

The prediction for the number of passwords in which the first character is a vowel is 56 passwords.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X \sim B(n,p)

The probability that out of n trials, there'd be x successes is given by

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

The expected value and variance of X are:

E(X) = np\\

Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.

Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).

Now as the computer produces 400 passwords, therefore, the predicted value can be written as,

E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56

Hence, the prediction for the number of passwords in which the first character is a vowel is 56 passwords.

Learn more about Binomial Distribution:

brainly.com/question/14565246

#SPJ1

5 0
2 years ago
Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i
Y_Kistochka [10]

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

\dfrac{4}{5}th of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = \dfrac{4}{5}th of total paint used

                 = \dfrac{4}{5}\times 6.3

                 = 5.04

White paint = Total paint used - Blue paint

                   = 6.3-5.04

                   = 1.26

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

5 0
3 years ago
The next model of a sport car will cost 3.6% more than the current model. The current model cost $42,000. How much will the pric
Murrr4er [49]

Answer:

$43,512

Step-by-step explanation:

3.6% = 0.036

0.036 * 42,000 = 1,512

42,000 + 1,512 = 43,512

5 0
3 years ago
Please help, due soon. show work for the problem
notka56 [123]
The answer would be c
4 0
3 years ago
For the 1,000-meter running event, Abby's mean time is 4.5 minutes with a standard deviation of 0.75 minutes. For the 800-meter
Lilit [14]

Answer:

He performed better in the 800 m race

Step-by-step explanation:

Obtain the standardized score for each event :

Zscore = (score - mean) / standard deviation

1000 meter :

Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1

Zscore = (4.1 - 4.5) / 0.75

Zscore = - 0.4 / 0.75 = - 0.5333

800 meter :

Mean = 3.2 ; Standard deviation = 0.4 ; x = 3

Zscore = (3 - 3.2) / 0.4

Zscore = - 0.2 / 0.4 = - 0.5

-0.5 > - 0.533

Hence, he performed better in the 800 m race

3 0
3 years ago
Read 2 more answers
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