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Simora [160]
2 years ago
5

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name d

rawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
a.19
b.90
c.100
d.10! (10 factorial)
Mathematics
1 answer:
laiz [17]2 years ago
8 0

Answer:

B.90

Step-by-step explanation:

As there are 10 people and choosing chairperson occurs first as an independent event

=> The number of possible chairperson is 10.

After the chairperson is chosen, the number of names left in the hat is 9

=> There are 9 possible vice-chair.

However, the names left in the hat depends on which name is elected as chairperson

=> Choosing vice-chair is a an event dependent on the first event.

=> The number of possible combinations of chair and vice chair would be:

9x10 = 90

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3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p
otez555 [7]

Answer:

Option B.

Step-by-step explanation:

Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).

We need to find the measure of ∠JHN.

\angle MHL=\angle JHK                         (Vertical opposite angles)

\angle MHL=\angle JHN+\angle KHN

Substitute the given values.

3x+20=(x+20)+(x+25)

3x+20=2x+45

3x-2x=45-20

x=25

The value of x is 25. So, the measure of ∠JHN is

\angle JHN=x+20=25+20=45

The measure of ∠JHN is 45°.

Therefore, the correct option is B.

9 0
2 years ago
Read 2 more answers
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next do
valina [46]

Answer:

Explanation is in a file

Step-by-step explanation:

3 0
2 years ago
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him
Hitman42 [59]

Answer:

answer is

-0.245 \pm2.160(0.205)

Step-by-step explanation:

After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.

Slope is -0.245

Sample size  n = 15

Standard error is 0.205

Confidence level 95

Sognificance level is (100 - 95)% = 0.05

Degree of freedom is n -2 = 15 -2 = 13

Critical Value =2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

-0.245 \pm2.160(0.205)

8 0
2 years ago
Read 2 more answers
Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre
Oksi-84 [34.3K]

Answer:

  • Andre subtracted 3x from both sides
  • Diego subtracted 2x from both sides

Step-by-step explanation:

<u>Andre</u>

Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.

__

<u>Diego</u>

Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.

_____

<em>Comment on their work</em>

IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.

Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.

As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.

3 0
2 years ago
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on
Vlada [557]

Answer:

See the explanation

Step-by-step explanation:

(a)  

H0: Consultant with more experience has the higher population mean service rating.

H1: Consultant with more experience doesn't have the higher population mean service rating.

(b)  

t = 1.9923 (see the attached image)

(c)

The degrees of freedom for the test statistic,

df = 16

The P-value of the one tailed t- test with 16 degrees of freedom is,

P−value = tdist(X,df,tails)

P-value = tdist(1.9923,16,1)

P-value = 0.032

(d)​

Since, P-value 0.032 is less than the significance level 0.05, there is an enough evidence to reject the null hypothesis.

Hence, there is a sufficient evidence to conclude that Consultant with more experience doesn't have the higher population mean service rating.

Hope this helps!

8 0
2 years ago
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