The circumference of the earth is about 25,000 miles. Approximately how far is it from any point on the earth's surface to its center?

Answers

Answer 1
Answer: Since C = 2rπ
 
if the C of earth = 25000 miles

then the r =  C ÷ (2π)
                = 25,000 miles ÷ 2π
                = 12500 ÷ π
                ≈ 3978.87358 miles

Since radius is a measure of the distance from the center to any point on the circle then that distance would be about 3978.8736 miles

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In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z = In a normal distribution, a data value located 2.4 standard deviations above the mean has Standard Score: z =

In a normal distribution, the mean has Standard Score: z =

Answers

Using the normal distribution, it is found that the z-scores are:

1) z = -0.8

2) z = 2.4

3) z = 0

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

Z = (X - \mu)/(\sigma)

  • It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

Item 1:

0.8 standard deviations below the mean, hence z = -0.8.

Item 2:

2.4 standard deviations above the mean, hence z = 2.4.

Item 3:

The mean is 0 standard deviations from itself, hence z = 0.

A similar problem is given at brainly.com/question/24663213

Final answer:

A standard score (z-score) signifies how many standard deviations a data point is away from the mean. A data value 0.8 standard deviations below the mean has a z-score of -0.8, meanwhile, if it is 2.4 standard deviations above the mean, its z-score is 2.4. The mean in a normal distribution has a z-score of 0.

Explanation:

In the field of statistics, a standard score (also known as a z-score) represents how many standard deviations an element is from the mean. In a normal distribution, a data value located 0.8 standard deviations below the mean has a Standard Score: z = -0.8. This is because the z-score is negative when the data value is below the mean. Conversely, a data value located 2.4 standard deviations above the mean has a Standard Score: z = 2.4. As the data value is above the mean, the z-score is positive. Finally, for the mean value itself in a normal distribution, the Standard Score: z = 0 because the mean value is the center of distribution, hence no deviation from itself.

Learn more about Standard Score here:

brainly.com/question/24210074

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PLZ ASAP WITH work and solution

Answers

1x=(1)/(6)y+ (-1)/(3)
1y= 6x+2

Help how to solve! 24=3r divided by 4

Answers

24=3r/4
multiply 4 on both sides
96=3r
divide 3r and 96 by 3
r=32

A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?

Answers

Answer:486

Step-by-step explanation:

(Multiply by 3 each time ;))

Hope this helped!

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Answer:

multipl each 3 times

Step-by-step explanation:

The piano measures 19/4 feet long does it fit in a 5 foot long space?

Answers

Answer:

Piano fits in the given space.

Step-by-step explanation:

Given: Length of Piano = (19)/(4)\,feet

           Length of Space 5 foot

To find: If piano fits in the space or not

Piano fits in the space if its length is less than length of space .i.e., 5 foot

length of piano = (19)/(4) feet

feet is just plural of foot

So, conversion of unit not needed

Length of piano is improper fraction ( fraction whose numerator is gretaer than denominator ) So, it ca be expressed in mixed fraction.

\implies(19)/(4)=4(3)/(4)

This shows that Piano's length is more than 4 but less than 5.

Therefore, Piano fits in the given space.

Yes it would because 19/4 simplified is 4 3/4 which is less than 5 feet so it woudl fit

How much money should be invested now (rounded to the nearest cent), called the initial investment, in a Municipal Bond investment that yields 6% per year, compounded monthly for 10 years, if you wish it to be worth $20,000 after 10 years?

Answers

The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ

A = the future value = $ 20,000
P = the principal investment amount = Not given
r = the annual interest rate (decimal) = 0.06
n = the number of times that interest is compounded per year = 12
x = the number of years = 10

$ 20,000 = P (1 + 0.06/12)¹²⁰
$ 20,000 = P (1 +0.005 )¹²⁰
$ 20,000 = P (1.005 )¹²⁰
$ 20,000 = 1.81·P
P = $ 20,000÷1.81
P = $ 11,049.72