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Maurinko [17]
3 years ago
13

Please check screenshot

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

im sorry but whats the question exactly i will try to awnser it

Step-by-step explanation

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In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to th
den301095 [7]

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

\bar x \to<em> Mean</em>

a \to<em> 5 scores</em>

b \to<em> 6th scores</em>

Given that:

n = 6

The 5 scores that are 1 above the mean implies that:

a = \bar x + 1

The mean of a dataset is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x =\frac{5a + b}{6}

\bar x =\frac{5(\bar x + 1) + b}{6}

Open brackets

\bar x =\frac{5\bar x + 5 + b}{6}

Multiply both sides by 6

6\bar x =5\bar x + 5 + b

Make b the subject

b = 6\bar x -5\bar x - 5

b = \bar x - 5

This means that the 6th score is 5 points below the mean

Read more about mean at:

brainly.com/question/17060266

3 0
3 years ago
Find last​ year's salary​ if, after a 4% pay​ raise, this​ year's salary is 31,720
adoni [48]

Answer:

30500.

Step-by-step explanation:

104%=31,720

100%=  x

\frac{(31720)(100)}{104}=30500

3 0
2 years ago
62 is divisible by which of the following numbers
SVEN [57.7K]

Answer:

D.

Step-by-step explanation:

4 0
3 years ago
Please help me with this question:)
tester [92]

Answer:

Ada is correct.

Step-by-step explanation:

Problems with Naman:

Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.

3 0
3 years ago
Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.
Romashka [77]
By definition, the average change of rate is given by:
 AVR =  \frac{f(x2)-f(x1)}{x2-x1}
 We will calculate AVR for each of the functions.
 We have then:

 f(x) = x^2 + 3x interval: [-2, 3]:
 f(-2) = x^2 + 3x  = (-2)^2 + 3(-2) = 4 - 6 = -2&#10;&#10;f(3) = x^2 + 3x = (3)^2 + 3(3) = 9 + 9 = 18
 AVR = \frac{-2-18}{-2-3}
 AVR = \frac{-20}{-5}
 AVR = 4

 f(x) = 3x - 8 interval: [4, 5]:
 f(4) = 3(4) - 8 = 12 - 8 = 4 f(5) = 3(5) - 8 = 15 - 8 = 7
 AVR = \frac{7-4}{5-4}
 AVR = \frac{3}{1}
 AVR = 3

 f(x) = x^2 - 2x interval: [-3, 4]
 f(-3) = (-3)^2 - 2(-3) = 9 + 6 = 15&#10;&#10;f(4) = (4)^2 - 2(4) = 16 - 8 = 8
 AVR = \frac{8-15}{4+3}
 AVR = \frac{-7}{7}
 AVR = -1

 f(x) = x^2 - 5 interval: [-1, 1]
 f(-1) = (-1)^2 - 5 = 1 - 5 = -4&#10;&#10;f(1) = (1)^2 - 5 = 1 - 5 = -4
 AVR = \frac{-4+4}{1+1}
 AVR = \frac{0}{2}
 AVR = 0


 Answer:
 
these functions from the greatest to the least value based on the average rate of change are:
 f(x) = x^2 + 3x
 
f(x) = 3x - 8
 
f(x) = x^2 - 5
 
f(x) = x^2 - 2x
5 0
3 years ago
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