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BlackZzzverrR [31]
3 years ago
5

Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours

are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?
A:16
B:19
C:20
D:23
Mathematics
2 answers:
Alona [7]3 years ago
6 0

Answer:

Option C is correct.

Step-by-step explanation:

We have been given total 8 data

Data is : 12,15,18,20,23,23,28

Here, n=7

Median is \frac{n+1}{2}=\frac{7+1}{2}=4th term

Median is 20.

When one data is added n=8

The median of  even number of data is  

median=\frac{\frac{n}{2}\text{th and}\frac{n}{2}+1\text{th}}{2}

Median is \frac{8}{2}\text{th and}\frac{8}{2}+1th

Median is 4\text{th and}5th

4th terms is 20

5th terms is 23

Since, median should not be change hence,

Median will be 20.

Therefore, option C is correct.

timama [110]3 years ago
4 0
12,15,20,23,28....median is 20
if u throw another 20 in there, the median will remain the same
You might be interested in
A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a
netineya [11]

Answer:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=19, p=0.3)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X \geq 5)

And we can use the complement rule:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

4 0
3 years ago
5.
Paha777 [63]

Step-by-step explanation:

30 minutes x an hour and half past prolly around 1 hr and 30 sec

5 0
3 years ago
PLEASE HELP!! WILL GIVE BRAINLIEST !!!
Ivanshal [37]

Answer:

the outlier is the point at 15

the data is skewed to the bottom because the values below the median are far more spread out; there are more extreme values that are far below the median than above the median.

Step-by-step explanation:

3 0
3 years ago
Edison has a sales job and receives $45,448 as his annual pay, plus commission. His company pays him a commission of 15% on his
11111nata11111 [884]

Answer:

Edison will be paid $15,112 for 3 months

Step-by-step explanation:

Edison receives an annual fixed pay = $45,448.

Monthly pay  = 45,448/12 = $3787.33

3-month salary = $3787.33 *3 = $11.362

Commission = 15%

Total sale = $25,000 for the first 3 months.

Commission amount = 25,000*0.15 = $3750

Therefore, total pay that Edison received during first 3 months= salary + commission

= $11,362 + $3750

= $15,112

Thank you.


4 0
3 years ago
Find a polynomial f(x) of degree 4 that has the following zeros.<br> 0, -5, 8, -2
Roman55 [17]

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

<u><em>Final answer:-</em></u>

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0    

3 0
3 years ago
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