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3 years ago

15

a tree needs to be stake with four wires, each wire is attached to the trunk 6 feet above the ground, and then anchored to the g

round 8 feet from the base of the tree. How many feet of the wire is needed for 5 trees???

1 answer:

stich3 [128]3 years ago

8 0

Answer:

89

Step-by-step explanation:

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The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.

valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

The formula for sum of an arithmetic progression series with first and last term given is;

$S_{n}$ = $\frac{n}{2}$ (a + l)

where;

a = first term

l = last term

n = number of terms

From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; $S_{n}$ = 1920

Plugging in relevant values into the sum of an AP formula, we have;

1920 = $\frac{n}{2}$ (4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

Formula for nth term of an AP is;

$t_{n}$ = $a_{1}$ + (n - 1)d

where;

$a_{1}$ is first term

d is common difference

n is number of term

$t_{n}$ is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

4 0

3 years ago

5 1/8 - 2/ 78 my little sister's homework

RideAnS [48]

Answer:

5 1/8 - 2 7/8 =

3 -6/8 =

2 2/8 =

2 1/4 =

2.25

Step-by-step explanation:

5 0

3 years ago

This is s free question so answer and get the points

Travka [436]

Answer:

have a good morning/day/night!

Step-by-step explanation:

6 0

3 years ago

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Select all of the true statements about the standard deviation of a quantitative variable. 1. Standard deviation is resistive to

andrezito [222]

Answer:

Considering the first statement

Standard deviation is resistive to unusual values

This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean

Considering the second statement

The standard deviation of a set of values is equal to 0 if and only if all of the values are the same.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Considering the third statement

Standard deviation is never negative.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Considering the fourth statement

Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation

This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean

Considering the fifth statement

If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation.

This statement is false because , let take an example

x -4 - 3 0 3 4

Generally the mean is mathematically evaluated as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{-4+ (- 3)+ 0 + 3 + 4 }{5}$

=> $\= x = 0$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x_ i - \= x )^2}{y} }$

$\sigma = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (0 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{5} }$

=> $\sigma = 3.16$

Now when zero is removed the standard deviation is

$\sigma_1 = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{4} }$

=> $\sigma_1 = 3.54$

Since $\sigma \ne \sigma _1$ the above statement is false

Considering the sixth statement

Standard deviation represents how far a group of values are from the mean of those values, on average.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Step-by-step explanation:

5 0

3 years ago

2 14 in the lowest terms

SIZIF [17.4K]

Solutions

To convert 2/14 into lowest terms you have to divide by the greatest common factor. The greatest common factor of 2 and 14 is 2.

2 ÷ 2 = 1
14 ÷ 2 = 7

1/7 is in lowest terms

5 0

3 years ago

Read 2 more answers