EXPRESS EACH OF THE FOLLOWING PERCENTAGES AS A DECIMAL:

Required information Section 01.02 Exercise 14 - Effects of changing data values on mean, median, and standard deviation There a

Nutka1998 [239]

Answer:

Mean will Increase .
Median remains unchanged.
Standard deviation will increase.

Step-by-step explanation:

We are given that there are 14 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

Now we have to analyse the Effect of this change in data values on mean, median, and standard deviation.

Mean will get affected because $1,000,000 is a very huge value as compared to $100,000 and is considered to be an outlier and we know that mean is affected by outliers as mean will change to $134285.7143 after replacing $100,000 with $1,000,000 .
Median will not get affected as median the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .
Standard Deviation will also get affected as due to outlier value in the data set the numerator value will increase very much and due to which standard deviation will also increase.

5 0

3 years ago

Plz help this one is the last one of the day plz help

Juliette [100K]

We know 20% is 15
and now we find 80%

since 20% x 4 = 80%, we can multiply 15 by 4 to get 80% of 75

15 x 4 = 60

80% of 75 = 60

3 0

3 years ago

The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it

brilliants [131]

Answer:

(a) 11.25 and 1.68

(b) 0.1651

(c) 0.3903

(d) 0.6865

Step-by-step explanation:

We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.

This situation can be represented through Binomial distribution as;

$P(X=r)= \binom{n}{r}p^{r}(1-p)^{n-r} ; x = 0,1,2,3,....$

where, n = number of trials (samples) taken = 15

r = number of success

p = probability of success which in our question is % of cases in

which customer problems are resolved on the same day, i.e.;75%

So, here X ~ $Binom(n=15,p=0.75)$

(a) Expected number of problems to be resolved today = E(X)

E(X) = $\mu$ = n * p = 15 * 0.75 = 11.25

Standard deviation = $\sigma$ = $\sqrt{n*p*(1-p)}$ = $\sqrt{15*0.75*(1-0.75)}$ = 1.68

(b) Probability that 10 of the problems can be resolved today = P(X = 10)

P(X = 10) = $\binom{15}{10}0.75^{10}(1-0.75)^{15-10}$

= $3003*0.75^{10} *0.25^{5}$ = 0.1651

(c) Probability that 10 or 11 of the problems can be resolved today is given by = P(X = 10) + P(X = 11)

= $\binom{15}{10}0.75^{10}(1-0.75)^{15-10}+\binom{15}{11}0.75^{11}(1-0.75)^{15-11}$

= $3003*0.75^{10} *0.25^{5} + 1365*0.75^{11} *0.25^{4}$ = 0.3903

(d) Probability that more than 10 of the problems can be resolved today is

given by = P(X > 10)

P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

= $\binom{15}{11}0.75^{11}(1-0.75)^{15-11}+\binom{15}{12}0.75^{12}(1-0.75)^{15-12} + \binom{15}{13}0.75^{13}(1-0.75)^{15-13}+\binom{15}{14}0.75^{14}(1-0.75)^{15-14} + \binom{15}{15}0.75^{15}(1-0.75)^{15-15}$

= $1365*0.75^{11} *0.25^{4} + 455*0.75^{12} *0.25^{3}+105*0.75^{13} *0.25^{2} + 15*0.75^{14} *0.25^{1}+1*0.75^{15} *0.25^{0}$

= 0.6865

3 0

3 years ago

100 points !!!!!!! PLZ HELP

Olenka [21]

Answer:1. -6 ≤ x < -1 . . . . conjunction

2. x ≤ 6 . . or . . 10 ≤ x . . . . disjunction

3. 7 ≤ x < 12 . . . . conjunction

4. x < -9 . . or . . -3 ≤ x . . . . disjunction

5. 2 ≤ x ≤ 5 . . . . conjunction

6. x ≤ 54 . . or . . 66 ≤ x . . . . disjunction

7. 39 < x ≤ 43 . . . . conjunction

Step-by-step explanation:

I'm assuming its "Pattern". This is because its in a pattern of "Conjunction, Disjunction, Conjunction, Disjunction, etc." and theres 7 letters in the word Pattern.

Usually a problem with this wording will have a list of numbers with letter designators. You find the number that is in the solution set and the corresponding letter is part of the "secret word

6 0

3 years ago

Read 2 more answers

What is the common factor of the numerator and denominator in the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%282x%2

mixer [17]

Answer:

Step-by-step explanation:

(x - 4)

What you are being asked to do is find the exact same binomial in the top as is in the bottom.

But there's a small catch. You must stipulate that x cannot equal 4. If it does, then you will get 0/0 which is undefined. You can't have that happening -- not at this level.

Any other value for x is fine.

5 0

3 years ago