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2 years ago

If a distribution has a mean of 100 and a standard deviation of 15, what value would be 2 standard deviations from the mean

Mathematics

1 answer:

sveticcg [70]2 years ago

4 0

The value that is 2 standard deviations from the mean is; 130

<h3>What is Empirical Rule?</h3>

For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).

Thus;

Calculated value = μ + zσ

where;

μ is mean

σ is standard deviation

Hence, the value that would be +2 standard deviations from the mean is;

Calculated value = 100 + 2(15)

Calculated value = 130

Read more about Empirical Rule at; brainly.com/question/10093236

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Need some math help thanks in advance!

vredina [299]

Answer:

x = 10

y = 6

Step-by-step explanation:

<u>Vertical Angle Theorem</u>: When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3 and m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

<u>Linear pair:</u> Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

7 0

2 years ago

Find the product.<br> 0.00461 x<br> 105

Elena L [17]

The correct answer is 0.48405

3 0

3 years ago

Read 2 more answers

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago

Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the w

Kay [80]

When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

$x\propto \frac{1}{y}$

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

$\therefore x \propto \frac{1}{y}$

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

Learn more about Area here -

brainly.com/question/25292087

#SPJ10

5 0

1 year ago

Cant figure out the improper and mixed

Ymorist [56]

The mixed number for this diagram would be: 4 5/6
The improper fraction would be: 29/6
That’s going off of the whole diagram.

6 0

3 years ago