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3 years ago

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Mathematics

2 answers:

Naily [24]3 years ago

6 0

Answer:

The data value must be less than the mean.

Step-by-step explanation:

mel-nik [20]3 years ago

4 0

Correct Answer:
The data value must be less than the mean.

The formula for the z value is:

z-value = (Data value - Mean) / Standard Deviation

The z-value will be negative when the Numerator of the above expression will be negative. The numerator will be negative only when the Data Value is less than the mean value. For example, for a data value of 5 and mean value 8, the numerator will be -3, and when it will be divided by standard deviation, the resulting z value will be negative.

So, Third option is the correct answer.

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15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height= $\sqrt{\frac{2}{3}} a$

Where a= length of each edge

Slant height= $\sqrt{\frac{2}{3}} \times 8$

= $\sqrt{0.6667} \times 8$

= $0.8165 \times 8$ =6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron= $\frac{a^{3}}{6 \sqrt{2}}$

Substitute the value of a in above equation we get

Volume= $\frac{8^{5}}{6 \sqrt{2}}$

= $\frac{512}{6 \sqrt{2}}$

= $\frac{512}{6 \times 1.414}$

Volume= $512 / 8.484$ =60.35 $\mathrm{cm}^{3}$

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35 $\mathrm{cm}^{3}$

7 0

3 years ago

Sarah started with 50 dollars in her bank account. Each month, she puts 25 more dollars in her account. The amount of money in d

Basile [38]

D=25m+50

D=(25)(8)+50

D=200+50

D=250

There will be $250 after 8 months.

5 0

3 years ago

Read 2 more answers

PLZ HELP ASAP DUE RN

matrenka [14]

Answer:

The first and third options are correct so choose both

Step-by-step explanation:

4 0

2 years ago

Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal am

mina [271]

Answer: 40 minutes

Step-by-step explanation:

It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:

= 16/2

= 8 minutes per station

Ms. Reynolds has 5 stations.

Total time taken will therefore be:

= 8 * 5

= 40 minutes

3 0

3 years ago

What is the speed of a runner who completes the 800 m race in one minute and 40 seconds?

skelet666 [1.2K]

Answer: 8 m/s

First let’s convert the time to seconds. There are 69 seconds in a minute so 1 minute and 40 seconds is 60 +40 second which totals to 100 seconds
Now to get the speed in meters per second we divide the total meters run by the total seconds
So the speed will be 800m/100s = 8m/s

7 0

3 years ago