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Mandarinka [93]
3 years ago
7

The standard deviation of the distribution of sample means is​ _______.

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0

Answer:

Standard error

Step-by-step explanation:

The standard deviation of the distribution of sample means is called the standard error of the means.

It is denoted by: \sigma_{\bar X}

The standard error is calculated using the formula: \sigma_{\bar X}=\frac{\sigma}{\sqrt{n} }

where n is the sample size and \sigma is the population standard deviation.

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The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

t_{17} = -6 + 16 (6)

t_{17} = -6 + 96

t_{17} = 90

Therefore : the 17th term of the sequence is 90

6 0
3 years ago
Write the following numbers in order from least to greatest,
PIT_PIT [208]

Answer: D

Step-by-step explanation:

Look at the exponents first and order them from least to greatest

5 0
3 years ago
Jenna has at most $100 to spend on clothes. She wants to buy a pair of jeans for $29 and spend the rest on shirts. Each shirt co
maw [93]

Answer:

5 shirts (read explanation)

Step-by-step explanation:

14x+29=100

14x=71

x=5.1

She can buy 5 shirts

8 0
3 years ago
12/5 times 25/24 equal
stealth61 [152]

Answer:

It's 2.5

Step-by-step explanation:

12/5=2.4

2.4 x 25/24(1.041...) = 2.5

8 0
3 years ago
In the equation: log (x) = -0.123, what is the value of x?
SpyIntel [72]
The logarithm of a function log a = x is also expressed as 10^x = a. In this case, we are given log (x) = -0.123. Hence the equivalent function is 10^-0.123 = x;  x is equal to 0.7536. the answer to this problem is 0.7536. 
6 0
3 years ago
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