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weeeeeb [17]
3 years ago
10

If z=2.5, x=102 and x=100, what is s?

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

I believe the problem ask for s which is the standard deviation. We must recall that the formula for z statistic is stated as:

z = (x – x over bar) / s

Where,

z = z statistic = 2.5

x = sample value or sample score = 102

x over bar = the sample mean or sample average  = 100

s = standard deviation = unknown

Rewriting the equation in terms of s:

s = (x – x over bar) / z

Substituting the given values into the equation:

s = (102 – 100) / 2.5

s = 0.8  

Therefore the standard deviation s is 0.8

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A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

8 0
3 years ago
Read 2 more answers
Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​
Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0
3 years ago
What is the answer ? i have to match it
jek_recluse [69]

Answer:

  see below

Step-by-step explanation:

As with many multiple-choice questions, the appropriate choices can often be determined with a simple test. Here, you only need to look at the values of the constants. (Those are ringed in blue.)

4 0
3 years ago
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ziro4ka [17]

Answer:

72,90

Step-by-step explanation:

Since 9 is the biggest number so list multiples of 9 between 55- 101 range.

Which are 63, 72, 81, 90, 99. Any number that is a multiple of 9 is a multiple of 3 because 3x 3 = 9.  9 is a multiple of 3.

Any even number is a multiple of 2.

Only 72 and 90 are even numbers.

So 72 and 90 are numbers divisible by 2, 3, 9.

6 0
3 years ago
Find the measure of the angle indicated in bold.*
Irina18 [472]

Answer:

131°

Step-by-step explanation:

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simplify:

4 = x

31(4) + 7 = 131°

6 0
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