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vaieri [72.5K]
3 years ago
14

Consider the following data set: {4, 5, 6, 7, 10}. If you remove one of the numbers from the list, then the mean increases and t

he median doesn’t change. Which number is it?
Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Right now, the mean is 6.4 and the median is 6. If you take away 6, the mean would be 6.5 and the median will stay the same. The median will stay the same because when there is no middle number, you add the two closest numbers and divide by two.  

Hope it helped:)

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X) 7.A.47
vodomira [7]

Answer:

You will gain $27

Step-by-step explanation:

Just multiply $63 times 0.42857142857

8 0
3 years ago
The amount of time people spend exercising in a given week follows a normal distribution with a mean of 3.8 hours per week and a
Travka [436]

Answer:

i and iii) In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4

ii) P(X

And using the normal standard table or excel we got:

P(z

iv) P(2

And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:

P(-2.25

Step-by-step explanation:

Let X the random variable that represent amount of time people spend exercising in a given week, and for this case we know the distribution for X is given by:

X \sim N(3.8,0.8)  

Where \mu=3.8 and \sigma=0.8

Part i and iii

In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4

Part ii

We are interested on this probability:

P(X

We can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we have:

P(X

And using the normal standard table or excel we got:

P(z

Part iv

We want this probability:

P(2

Using the z score formula we got:

P(2

And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:

P(-2.25

3 0
4 years ago
$10,000 for 20 years at 5% compounded annually
saveliy_v [14]

Answer:

$26532.98

Step-by-step explanation:

<u>Given:</u>

  • Principal = $10000
  • Profit rate = 5% PA compounded
  • Time = 20 years
  • Compounds = 20*1 = 20

<u>Sum is:</u>

  • 10000*(1 + 5/100)²⁰ ≈ 26532.98
3 0
4 years ago
Y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
allsm [11]
Y = kx
k = y/x = 15/3 = 5
<span>when y = 4
5 = 4/x
x = 4/5

answer
</span><span>when y = 4 , x = 4/5</span>
8 0
3 years ago
Read 2 more answers
Logan is making bookmarks that contain flower petals. He has 95 petals. He uses 3 flower petals for each bookmark. What is the G
Tcecarenko [31]

Answer: The GREATEST number of bookmarks that Logan can make = 31.

Step-by-step explanation:

GIven: Total petals = 95

Number of petals required for each bookmark = 3

Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)

= 95÷3

=31\dfrac{2}{3}\ \ \ \approx31\text{    [Round to the nearest whole number.]}

i.e. The GREATEST number of bookmarks that Logan can make = 31.

5 0
3 years ago
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