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Oduvanchick [21]
2 years ago
13

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage

of people have an IQ score between 70 and 130?​
Mathematics
1 answer:
Kobotan [32]2 years ago
4 0

70 = 100 - 2•15 is 2 s.d.'s below the mean.

130 = 100 + 2•15 is 2 s.d.'s above the mean.

By the empirical rule,

Pr [70 ≤ X ≤ 130] = Pr [-2 ≤ Z ≤ 2] ≈ 95%

(where Z is normally distributed with mean 0 and s.d. 1)

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The sum of a number and -3 is equal to -91.Find the number
larisa86 [58]
The sum of -3 and a number equal to -91 is -88
7 0
3 years ago
Need help asap plzzz
Scilla [17]

\sqrt{12}
enters the irrational number category.

Integers numbers are the numbers without decimals between -infinity and infinity.

Natural numbers are the whole numbers from 1 to infinity.

Whole numbers are natural numbers + 0.
4 0
3 years ago
Read 2 more answers
(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
Complete the slope equation of the line through (-4,8) and (4,4)
olya-2409 [2.1K]

Answer:

-1/2

Step-by-step explanation:

We can find the slope if we are given two points

m = (y2-y1)/(x2-x1)

    = (4-8)/(4 - -4)

    = (4-8)/ (4+4)

    = -4/8

    = -1/2

4 0
2 years ago
Read 2 more answers
1 2/6 as an improper fraction
gladu [14]

Answer:

=4/3

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

6 × 1 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 2 = 8

Step 3

Write answer from Step 2 over the denominator

8/6

=86

You can also reduce this fraction.

Find the Greatest Common Factor (GCF) of 8 and 6, if it exists, and reduce our fraction by dividing both numerator and denominator by it,

GCF = 2

=8÷2=4

6/2=3

Simplified Solution

=6×1+2/6 =8/6=4/3

hope this helps

you welcome and thanks

3 0
3 years ago
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