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Mrrafil [7]
2 years ago
7

Belle runs 16 times around a track that measures 1/4 mile long.

Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0
16/4 which could be simplified to be the whole number 4
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Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.
Lunna [17]

Answer: The measure of AC is 32.

Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

AC=2\times DF

AC=2\times 16

AC=32

Therefore, the length of AC is 32.

7 0
3 years ago
Twice the difference of a number and 2 is at most -27
igor_vitrenko [27]
<h2>Explanation:</h2><h2 />

When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:

Step 1. Twice the difference of a number and 2

Let's call that unknown number as n. Then, twice the difference of a number and 2 is:

2(n-2)

Step 2. Twice the difference of a number and 2 is at most -27

2(n-2)\leq -27

_________________________________________

So the mathematical form of the statement <em>twice the difference of a number and 2 is at most -27 </em>is:

\boxed{2(n-2)\leq -27}

5 0
3 years ago
Which set of numbers has the largest variance?
trasher [3.6K]

Answer:

1) (1,3,4.7)

2) 6.8

3) the square root of the variance

4) has the same units as the underlying data

5) It has predictive power.

Step-by-step explanation:

From question one, it is possible to use an excel formula to calculate the variance of the set of numbers.

Now, to calculate the variance in an Excel sheet:

Make sure your data is in a single range of cells in Excel.  

If your data represents the entire population, enter the formula as "=VAR. P(A1:A4). Since, we were given four variables  

The variance for your data will be displayed in the cell.  

i.e for set of numbers (7, 8, 9, 10)

variance = (VAR. P(A1:A4))

= 1.25

for set of numbers (1, 3, 4, 7)

variance = (VAR. P(A1:A4))

= 4.69

for set of numbers (4,2,1, 0)

variance = (VAR. P(A1:A4))

= 2.19

for set of numbers (1, 0, 2, 4)

variance = (VAR. P(A1:A4))

= 2.19

The set of numbers (1,3,4.7) indicates the largest variance from the foregoing.

2) What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?  

Using the same method explained in question 1, the population variance of the following set of numbers 3,5,8,9,10 can be calculated as:

For the set of numbers (3, 5, 8, 9, 10)

Variance = (VAR. P(A1:A5)) since it contains five sets.

= 6.8

3) Variance can be defined as the average of the squared differences from the Mean. Therefore, Standard deviation is the square root of the variance which is given as:

S= \sqrt{\frac{E^N_i(x_i-x)}{N-1} }

where;

s = sample standard deviation

N = the number of observations

x_i = the observed values of a sample item.

x= the mean value of the observations

4) Standard deviation is useful because it has the same units as the underlying data

5)  Of all the characteristics of Standard deviation when relating to finance,  Standard deviation  do not possess  predictive power.

3 0
3 years ago
Isabella placed $5,000 in a savings account which earns 5.3% interest, compounded every year. How much will she have in
saw5 [17]

Answer:

912

Step-by-step explanation:

8 0
3 years ago
In 72,165 give the value of the<br>digit in the thousands place?​
DerKrebs [107]
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