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ruslelena [56]
3 years ago
14

If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

(Enter your answer rounded to four decimal places.)
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

X \sim N(5.43,0.54)  

Where \mu=5.43 and \sigma=0.54

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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What is the final amount if 943 is decreased by 13% followed by a further 6% decrease?
kipiarov [429]

Answer:

771.18

Step-by-step explanation:

The Amount given is  943

13% of amount will be =  943 x 13%

                         =

Decreasing 13% from 943 we get = 943-122.59

                        =820.41

Now the ammount = 820.41

for finding the final amount

find 6% of amount (820.41) we get =  820.41x 6%

                               =

Decreasing 6% from 820.41 we get final amount= 820.41- 49.23

                                   =771.18

so the final amount is 771.18

5 0
3 years ago
Which equation represents an inverse variation?<br> O y = 2x<br> Oy-<br> O yo<br> X<br> O y = -5x
olga nikolaevna [1]
O y = 2x is the answer
6 0
3 years ago
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis
Tju [1.3M]

The equations representing the circle having a diameter of 12 units and a center lying on y-axis are <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, making <u>options 1, and 5</u> the two choices.

In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:

x² + (y - k)² = 6², or, x² + (y - k)² = 36.

From the given options, the equations <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, are of this form.

Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, making <u>options 1, and 5</u> the two choices.

Learn more about equations of circle at

brainly.com/question/16039879

#SPJ4

The provided question is incomplete. The complete question is:

"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

  1. x² + (y – 3)² = 36
  2. x² + (y – 5)² = 6
  3. (x – 4)² + y² = 36
  4. (x + 6)² + y² = 144
  5. x² + (y + 8)² = 36."
8 0
2 years ago
Mrs. Alberts has taught seventh grade math for thirty years. Every year she calculates and records the class average on the fina
sdas [7]

Answer:

2

Step-by-step explanation:

89.633333333333

Mean Absolute Deviation (MAD): 2.0755555555556

rounding these both you get 90 and 2.

5 0
3 years ago
What is the drawing of the fraction
cricket20 [7]
Look at attached photo
first divide each line into the number as shown in the denominator

7 0
3 years ago
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