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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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baherus [9]

Answer:

x = 14

Step-by-step explanation:

Step 1: First, Simplify the fraction.

\frac{4x}{7} =8

Step 2: Next, Multiply both sides by 7.

4x = 8 × 7

Step 3: Simplify 8 × 7 to 56.

4x = 56

Step 4: Then, Divide both sides by 4.

x=\frac{56}{7}

Step 5: Lastly, Simplify the fraction and you're done!

x = 14

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3 years ago
Find the perimeter of a triangle with vertices A(3, 1), B(2, -1), and C(-3, 2). Leave
natulia [17]

The perimeter of triangle is: 14.15 units

Step-by-step explanation:

First of all we have to find the lengths of sides of triangles

Given

A(3, 1), B(2, -1), and C(-3, 2)

The distance formula will be used to find the lengths of sides

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\

So,

AB = \sqrt{(2-3)^2+(-1-1)^2}\\=\sqrt{(-1)^2+(2)^2}\\=\sqrt{1+4}\\=\sqrt{5}\\=2.24\ unitsBC = \sqrt{(-3-2)^2+(2+1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\= 5.83\ units\\AC = \sqrt{(-3-3)^2+(2-1)^2}\\=\sqrt{(-6)^2+(1)^2}\\=\sqrt{36+1}\\=\sqrt{37}\\=6.08\ units

The perimeter of triangle will be:

P = AB+BC+AC\\= 2.24+5.83+6.08\\=14.15\ units

Hence,

The perimeter of triangle is: 14.15 units

Keywords: Triangle Perimeter

Learn more about perimeter at:

  • brainly.com/question/573729
  • brainly.com/question/572693

#LearnwithBrainly

7 0
3 years ago
Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles w
Natasha_Volkova [10]

Answer:

19.209 miles from each other.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Using this we get:

{15}^{2}  +  {12}^{2}  =  {x}^{2}

225 + 144 = 369 =  {x}^{2}

\sqrt{369 }  = 19.209

6 0
3 years ago
What is the quotient оf (x^3 + 3x^2– 4x– 12)-(х^2 + 5х+6)?
DIA [1.3K]

Answer:

The quotient is (x-2)

Step-by-step explanation:

3 0
3 years ago
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zaharov [31]

Answer:

x = 13.4

Step-by-step explanation:

Use the Pythagorean Theorem

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Rounded

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