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zheka24 [161]
3 years ago
6

Find the quotient and remainder of 452 divided by 8

Mathematics
1 answer:
Luda [366]3 years ago
3 0
452÷8= 56.5
56 remainder 5
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) Thirty percent of the students in a management class are graduate students. A random sample of 3 students is selected. a) Usin
adell [148]

Given Information:  

Probability of success = 30%

Sample size = n = 3

Variable of interest = x = 2  

Required Information:  

Probability of exactly 2 graduates = ?

Answer:

Probability of exactly 2 graduates = P(2; 3, 0.30) = 0.189

Step-by-step explanation:

The given problem can be modeled as a binomial experiment since a random selected student can either b graduate or not therefore, there are only 2 outcomes. Each trial is independent and the probability of success is not changing from trial to trial. The number of trials in also fixed.

We know that a binomial distribution is given by

P(x; n, p) = nCx pˣ (1 - p)ⁿ⁻ˣ

Where p is the probability of success and 1 - p is the probability of failure, n is number of independent trials and x is the variable of interest.

For the given problem, we know that x = 2, n = 3 and p = 0.30

P(2; 3, 0.30) = 3C2*0.30²*(1 - 0.30)³⁻²

P(2; 3, 0.30) = 3*0.30²*(0.70)¹

P(2; 3, 0.30) = 0.189

3 0
4 years ago
Use the discriminant to determine the number of real solutions to the quadratic equation. n^2 − n − 6 = 0 What is the number of
Andreas93 [3]

Answer: last option

Step-by-step explanation:

The formula to find the Discriminant is:

D=b^2-4ac

Given the quadratic equation n^2-n-6=0, you can identify that:

a=1\\b=-1\\c=-6

Now, you can substitute values into the formula  D=b^2-4ac, then:

D=b^2-4ac\\D=(1)^2-4(1)(-6)\\D=25

As the Discriminant is greater than 0 (D>0), then the quadratic equation  n^2-n-6=0 has two distinct real solutions.

6 0
3 years ago
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What is the exponents to write the expression of 6×6?
labwork [276]

Answer:

6 to the power of 2 or 6 squared

4 0
4 years ago
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Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along a horizontal axis marked
ludmilkaskok [199]

Answer:

(B)1,3,6,8,10,12,13,13,16,18,19

Step-by-step explanation:

In the box plot:

A left whisker extends from 1 to 6, therefore, the least value is 1.

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12. Therefore:

  • The lower quartile is 6
  • The median is 12
  • The upper quartile is 16

The right whisker extends from 16 to 19, therefore the highest value is 19.

The set of data that satisfies these conditions where the numbers in bold are the 5- number summary is:

1,3,6,8,10,12,13,13,16,18,19

The correct option is B.

8 0
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Hey guys can you help with this
777dan777 [17]

Step-by-step explanation:

use the formula of area of triangle .

if B=X then h=8+x

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