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Alekssandra [29.7K]
3 years ago
13

The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use

the Empirical Rule to find the following.
a) What percentage of students have scores between 70 and 130?
b) What percentage of students have scores between 55 and 115?
c) Where would approximately 99.9% of the fall between?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Hopefully this helps

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Find the distance between the line 1.2x − 0.5y + 1.1=0 and the origin.
denpristay [2]

Answer:

The answer to your question is: d = 0.85 units

Step-by-step explanation:

Data

Line equation:  1.2 x − 0.5 y + 1.1 = 0        A = 1.2; B = -0.5; C = 1.1

Point (0, 0)                                                  x = 0; y = 0

Formula

d = | Ax + By + C | / √(A² + B²)

Process

d = |(1.2)(0) + (-0.5)(0) + 1.1 | / √ (1.2)² + (0.5)²

d = | 1.1 | / √ 1.44 + 0.25

d = 1.1 / √ 1.69

d = 1.1 / 1.3

d = 0.85 units

7 0
3 years ago
Hi could you please help? Write 2.96 as a mixed number or fraction in simplest form. My family is trying to help me but we're ba
klemol [59]

as a fraction it would be 74 over 25 in one way there might be other ways


3 0
4 years ago
Read 2 more answers
What is the area of the beach ball with a diameter of 14 in. ?
Juliette [100K]

Answer:

The answer is 675.75 square Inches

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • Diameter (d) = 14 in.
<h3><u>To </u><u>Find</u>;</h3>
  • Area of beach ball = ?
<h3><u>Formula</u>;</h3>
  • Area = 4πr²

Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

6 0
2 years ago
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What is the volume of a rectangular prism with a length of 2.5 cm, a width of 3.1 cm and a height of 1.2 cm?
Svetradugi [14.3K]
The answer is D- 9.3cm^3
7 0
3 years ago
WHat is the best method for this system?
aksik [14]

Answer:

Elimination method

Step-by-step explanation:

We have a choice to eliminate the y or x:

I chose x

So now we double the second equation to make the co efficient of x the same:

6x-5y = -3

6x+4y = 24

Now we subtract both equations to eliminate the x's:

6x-5y = -3
-     -       -

6x+4y = 24

-9y = -27

y = 3

Now we substitute this value into either equation 1 or 2:
I chose 2

3x + 2(3) =12

Simplify:

3x + 6 =12

Subtract 6 from both sides:

3x + 6 -6 = 12 -6

Simplify:

3x = 6

Divide both sides by 3:

3x÷3 = 6÷3

Simplify:

x = 2

5 0
3 years ago
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