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iragen [17]
2 years ago
7

In a certain College, 40% of the english majors are from New York. Find the probability of the event from a random sample of 16

students who are english majors.
Exactly 2 are from New York

*Applications on Probability*
Mathematics
1 answer:
lubasha [3.4K]2 years ago
7 0

Answer:

0.015

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 16, r = 2, and p = 0.4.

P = ₁₆C₂ (0.4)² (0.6)¹⁴

P ≈ 0.015

The probability is approximately 0.015, or 1.5%.

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Are the graphs of 6 <br>y = -2x + 4 and y = 6x - 4 parallel perpendicular or neither
timurjin [86]
1st slope is -1/3. 2nd slope is 6

slope is same in parallel lines so not parallel

slopes are negative reciprocals in perpendicular lines so they aren't perpendicular

they are called oblique
4 0
3 years ago
mrs. diaz has 9 eggs. she cooks 5 eggs for breakfast. how many eggs are left? which model shows the problem?
melomori [17]

Answer:

B

Step-by-step explanation:

Because 9 = 5 +4

7 0
2 years ago
A. Economic theory describes the relationship between inflation and unemployment as:
Ludmilka [50]

Answer:

1: The correction option is B) Negative

Explanation

In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.

The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves,  it is assumed that there is a requirement to being in more hands to help with the expansion of the business.

2. The correct option is B) Holds for certain time periods

Explanation

Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.

The following results emerged:

  • the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;
  • Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed;
  • In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%
  • This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction;
  • There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.  

So the correct answer is B.

3. The correct answer is True:

Explanation

As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.

Cheers

6 0
3 years ago
The vertex of this parabola is at (-3, -2). which of the following could be its equation?
professor190 [17]

Answer:

B

Since the vertex is (-3,-2) The x value should be +3

7 0
2 years ago
Read 2 more answers
The ordered pair of (-3,0) is a solution of which system
makkiz [27]

expression

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:   2+2=4


8 0
3 years ago
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