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mafiozo [28]
3 years ago
5

A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new

company president. What is the probability that all four members of the search committee will be women?
Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

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A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. C
noname [10]

Answer:

Step-by-step explanation:

The data in the question is not well arranged. The correct arrangement is:

Before After difference

283 215

299 206

274 187

284 212

248 178

275 212

293 192

277 196

Solution:

a) This is a matched pair design/experiment. This is so because the measurement of cholesterol levels were carried out on the same individuals.

b) Corresponding cholesterol levels before and after treatment form matched pairs.

The data for the test are the differences between the cholesterol levels before and after treatment.

μd = cholesterol level before treatment minus cholesterol level after treatment.

Before After difference

283 215 68

299 206 93

274 187 87

284 212 72

248 178 70

275 212 63

293 192 101

277 196 81

Sample mean, xd

= (68 + 93 + 87 + 72 + 70 + 63 + 101 + 81)/8 = 79.4

xd = 79.4

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (68 - 79.4)^2 + (93 - 79.4)^2 + (87 - 79.4)^2 + (72 - 79.4)^2 + (70 - 79.4)^2 + (63 - 79.4)^2 + (101 - 79.4)^2 + (81 - 79.4)^2 = 1253.88

Standard deviation = √(1253.88/8)

sd = 12.52

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

This is a one tailed test(left tailed test)

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (79.4 - 0)/(12.52/√8)

t = 17.94

We would determine the probability value by using the t test calculator.

p < 0.00001

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at 5% level of significance, we cannot conclude that the mean cholesterol level after treatment is less than the mean before treatment.

6 0
3 years ago
What is the percent of change from 35 to 62? round to the nearest percent.
Leona [35]

In order to change from 35 to 62, we have to add 27. So, the question becomes: which percentage of 35 is 27?

To answer this question, we set this simple equation

27 = 35\cdot\dfrac{x}{100}

And solving for x we have

x = \dfrac{2700}{35} \approx 77.14

So, if you change from 35 to 62, you have an increase of about 77%

7 0
3 years ago
If JKL - PNM. then M = L and the sides NP and<br> KJ are proportional.<br> True <br> Or<br> False???
nikklg [1K]

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

4 0
3 years ago
Read 2 more answers
The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?
Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
________________________________________________________
Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
________________________________________________________
    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
________________________________________________________
→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
                                             → Both "x" values cancel ;  {since: " x/x = 1 "} ; 
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       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
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The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
_________________________________________________________
8 0
3 years ago
When q= -4 and g=1 look at picture
jeka94

Answer:

-25

Step-by-step explanation:

sorry for the mistake

​

 

6 0
3 years ago
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