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Evgen [1.6K]
3 years ago
15

Please please please help!!!

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
The third one is the correct answer
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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
Softa [21]

Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

z=3

We have to find X when Z = 3. So

Z = \frac{X - \mu}{\sigma}

3 = \frac{X - 400}{60}

X - 400 = 3*60

X = 580

The data item is X = 580

6 0
3 years ago
Help with the linear equations
IgorC [24]

Answer:

y \: intercept =  - 1 \frac{1}{2}

Step-by-step explanation:

The y intercept form for the equation of a line is

y = mx + c

You should note that <em>c</em> represents the y-intercept of the line (where the line touches the y-axis)

y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}

7 0
2 years ago
Complete the following statement.
kakasveta [241]
Greater than? I don’t fully understand what is being stated… elaborate?
3 0
3 years ago
Read 2 more answers
a 6-meter-long board is cut in sections that each measure 1/3 meter long. how many sections are created from thw 6 meter long bo
Hitman42 [59]
There will be 6 / 1/3 = 6 x 3 = 18, so 18 sections will be created from the 6 meter board
4 0
3 years ago
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $58. The total cost to re
schepotkina [342]

Answer:

Equations::

4c + 8t = 58

2c + 3t = 23

----------------

Modify for elimination:

4c (4c*1) + 8t (8t*1)= 58

4c (2c*2) + 6t (3t*2)= 46

---------------------

Subtract and solve for "t":

2t (8t-6t) = 12

t = $6 (cost of one table)

-----

Solve for "c":

2c + 3t = 23

2c + 18 = 23

2c = 5

c = $2.50 (cost of one chair)

7 0
3 years ago
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