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aleksklad [387]
3 years ago
13

If a binomial event has a probability of success of 0.4, how many successes would you expect out of 6000 trials?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
4 0

Answer:

Total number of successes = 2400

Step-by-step explanation:

Probability of success of an event is given to be 0.4

⇒ p = 0.4

Also, Probability of failure = 1 - p

⇒ q = 1 - 0.4

⇒ q = 0.6

Also, Total number of trials = 6000

⇒ n = 6000

We need to find the total number of successes

So, Total number of successes = n × p

⇒ Total number of successes = 6000 × 0.4

⇒ Total number of successes = 2400

Feliz [49]3 years ago
3 0
You should expect about 2400 successes because as a percent .4=40%
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Write the prime factorization of the number. 18,234
shusha [124]

Answer:

18234=2\times 3\times 3\times 1013

Step-by-step explanation:

We are given that a number 18234

We have to find the prime factorization of the number

Prime factorization : The number written  is in  the product of prime numbers is called prime factorization.

In order to find the prime factorization we will find the factors of given number

18234=2\times 3\times 3\times 1013

Hence, the prime factorization of 18234=2\times 3\times 3\times 1013

3 0
3 years ago
I need help with 5 1\2× 3 1\4 =?
sattari [20]

5 1/2 * 3 1/4


1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8


= 17 . 875



Detailed explanation of solution:


5 1/2 * 3 1/4


Transform the first mix number to improper fraction:


5 1/2 = 1 + 5 . 2/2 = 11/2




Transform the second mix number to improper fraction:


3 1/4 = 1 + 3. 4/4 = 13/4




Multiplying two fractions:


11/2 * 13/4 = 11 . 13/2 . 4 = 143/8




Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:


143/8 = 7 + 17.8/8


= 17 7/8 (Decimal: 17. 875)








Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)




3 0
3 years ago
If the length of a side of a square is x CM its perimeter is​
andreev551 [17]

Square perimeter =4x cm.

The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.

By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,

The perimeter of square = s + s + s + s

⇒Perimeter of square = 4s, where "s" is the side length of the square.

This is because all edges of a square are equal and each edge measures "s" units.

<h3>Calculating the perimeter of a square:</h3>

Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side

⇒P= 4x cm

It is concluded that the solution is 4x cm.

Learn more about square perimeter:

brainly.com/question/11495285?referrer=searchResults

#SPJ10

7 0
1 year ago
A+b=95<br> 4a+1.50b=267.5
Papessa [141]

9514 1404 393

Answer:

  • a=50
  • b=45

Step-by-step explanation:

We can subtract the second equation from 4 times the first:

  4(a +b) -(4a +1.5b) = 4(95) -(267.5)

  2.5b = 112.5 . . . . . simplify

  b = 45 . . . . . . . . . . divide by 2.5

  a = 95 -b = 50 . . . find 'a'

The solution is (a, b) = (50, 45).

5 0
2 years ago
Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.
Anvisha [2.4K]

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

3 0
3 years ago
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