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Pachacha [2.7K]
3 years ago
13

A university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors. The professor is planning

to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a history major and the second student is a nursing major?
Mathematics
2 answers:
azamat3 years ago
8 0

Answer:

6.9%.

Step-by-step explanation:

Given that a university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors, and the professor is planning to select two of the students for a demonstration, where the first student will be selected at random, and then the second student will be selected at random from the remaining students, to determine what is the probability that the first student selected is a history major and the second student is a nursing major the following calculations must be performed:

26 = 100

9 = X

9 x 100/26 = X

900/26 = X

34.61 = X

25 = 100

5 = X

500/25 = X

20 = X

0.2 x 0.3461 = X

0.069 = X

Thus, the probability that the first student selected is a history major and the second student is a nursing major is 6.9%.

GarryVolchara [31]3 years ago
4 0

Answer:

6.9%

Step-by-step explanation:

Hope this will help

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Cloud [144]
Ummm this confuses me a bit
6 0
3 years ago
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!
zhuklara [117]

Answer:

see below

Step-by-step explanation:

9 ^-5 * 9^-3

When multiplying these we ADD the exponents:

9^-5 * 9^-3

= 9^(-5 + -3)

= 9 ^-8

= 1/9^8  Option A


2.    2^14 / 2^7   This is a division so we SUBTRACT the exponents:-

= 2^(14 - 7)  

= 2^7   (answer)

3.    If the triangle is a right angled one then it will obey Pythagoras Theorem so:-

13^ = x^2 + 5&2

x^2 = 13^2 - 5^2

x^2 = 144

x = 12    (answer)


4.   The last choice is a crucial step.

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5 0
3 years ago
The sum of w and 54 is equal to s. Let s = 72. Which equation can be used to find the value of w? A. w – 54 = 72 B. w – 72 = 54
Masteriza [31]
W + 54 = s

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Hope this helps!! :)


7 0
3 years ago
Question in the picture!
Sunny_sXe [5.5K]

Answer:

  x = 12

Step-by-step explanation:

Vertical angles are congruent, so ...

  4x = 48°

  x = 12° . . . . . . divide by 4

8 0
3 years ago
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