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2 years ago

How are the mean and median affected when the value 5 is included in the data set belo

Mathematics

2 answers:

____ [38]2 years ago

4 0

Answer:

5.5 Mean

5 Median

Step-by-step explanation:

<u>6+9+4+3+9+3+5</u> =5.5

Kobotan [32]2 years ago

3 0

Answer:

The mean increases and the median changes to 4.

Step-by-step explanation:

To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.

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Four runners start at the same point; Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes t

Natalka [10]

Answer:

See the answers in the explanation

Step-by-step explanation:

Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?

time= 29 seconds

speed= 7.2 m/s

distance= speed*time

distance= 7.2*29

distance=208.8 m

Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?

time= 26 seconds

distance= 240meters

velocity= distance/time

velocity= 240/26

velocity=9.23 m/s

Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?

time= 33 seconds

velocity

distance=velocity*time

distance=33*6.1

distance= 33*6.1

distance=201.3 m

Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?

time= 38 seconds

distance= 295m

velocity= distance/tim

velocity= 295/38

velocity= 7.76m/s

6 0

3 years ago

a rectangular computer screen has an area o A square inches. The width of the computer is 7 inches. Which equation rpresents x t

neonofarm [45]

Answer:

x = A/7

Step-by-step explanation:

Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as

A = L * W

Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as

A = x * 7

Divide both sides by 7

x = A/7 inches

6 0

3 years ago

Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

$\mu = 74$

The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

5 0

3 years ago

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

$a_n=a_1+(n-1)d$

For the 15th, term it will be

$a_{15}=-3+(15-1)d\\53=-3+14d$

Adding 3 on both sides

$53+3 = -3+3 + 14d\\56 = 14d$

Dividing both sides by 14

$\frac{56}{14}=\frac{14d}{14}\\d=4$

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

A suit regularly costs $389.90., Bob buys it on sale for $ 265.00 . How much does he save?

stiks02 [169]

He saves $124.90 because $389.90 - $265.00 = 124.90 and so that is the difference in the prices which is the answer.

8 0

3 years ago

Read 2 more answers