The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately what percentage of their scores will fall within one standard deviation of the mean

Answer:

a.1633rad/min

b.1715feet/min

Step-by-step explanation:

We are given that

Diameter of wheel, d=2.1 feet

Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet

Rate=260 rev/min

a. We have to find the angular speed of the wheel in rad/min

1 rev=[tex]2\pi[/tex]radian

Where [tex]\pi=3.14[/tex]

Using the value

Angular speed=[tex]260\times 2\times 3.14/min[/tex]

Angular speed,[tex]\omega=1633rad/min[/tex]

(b)

Speed=[tex]r\omega[/tex]

Using the formula

Speed of  the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min

Speed of  the cyclist=1714.65[tex]\approx 1715[/tex]feet/min

Answer:

Veronica's age now =8 years

Step-by-step explanation:

Veronica's age now = x years

Georgia's age now = 5x  - 7

Veronica age after 6 year = 14

x + 6  = 14

       x  = 14 - 6

       x = 8 years

Answer:

Step-by-step explanation:

The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.

Answer:

8.75

Step-by-step explanation:

12f=3.50

30f=3.50/12*30

3.50/12*30= 8.75

8.75 is the amount for 30 folders.

Answer:

12

you can chose to belive me or not

The length of the base of a right triangle with an area of 24 square meters and a height of 4 meters is 12 meters.

The correct option is C.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

An area of the right triangle = 24 square meters.

Height = 4 meters.

Then,

An area of the right triangle = 24 square meters.

1/2 x base x height = 24

1/2 x base x 4 = 24

Base = 12 meters.

Therefore, the base is 12 meters.

To learn more about the right-angled triangle;

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Answer: The correct answer is (5, 3)

Step-by-step explanation: I got it right on the exam

(5,3) will make a rhombus.

A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.

Let D have coordinate (x,y)

The length of all the sides of the rhombus is equal.

length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]

Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)

CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)

We know BD = CD gives,

[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]

By squaring both sides and solving we get,

3y - x = 4 ----------------------(3)

Since BCD is a right-angled triangle,

[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]  

BC = [tex]\sqrt{10}[/tex]

10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]

8  = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)

solving equation (3) and (4) we get x = 5 and y = 3

TO Learn more about Rhombus visit:

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Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86,  n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))            

p( non is defective ) =  ( 81 / 86) × (80/85)

p( non is defective ) =  0.8865

Therefore, the probability that the shipment is accepted is 0.8865

Answer: 52:41

Step-by-step explanation:

Answer:

30 is the ratio

Step-by-step explanation:

-_-

Answer:

He spent 150% than what he estimated.

Step-by-step explanation:

15 ÷ 10 = 1.5 = 150%

Answer: 66.67%

Step-by-step explanation: The first step is to divide 10 by 15 to get the answer in decimal form: 10 / 15 = 0.6667 Then, I multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.6667 * 100 = 66.67%

Answer: angle 1 and 7

Step-by-step explanation: you just do it

Answer/Step-by-step explanation:

a. m<h = x°

Two angles to use in finding x are <h and 55°

Angle pair formed: linear pair angles

b. x° + 55° = 180° (linear pair)

Subtract 55° from each side

x + 55 - 55 = 180 - 55

x = 125°

c. Given: m<n = y°

Two angles to use in solving for y are: <h and <n

Angle pair formed: alternate exterior angles

d. m<n = y° (given)

m<n = x° = 125° (as solved in 2b)

Therefore:

y = x (alternate exterior angles are congruent)

thus:

y = 125° (substitution)

Answer:

1: 1.268, 1.265, 1.256

2: $16.42

Step-by-step explanation:

I did the math.

Answer:

1.36

2.4

3.-11

4.2

5.-20

Answer:

34 degrees.

Step-by-step explanation:

Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.

Drop the parentheses and get 7x - 8 = 90.

Add 8 to both sides 7x = 98.

Divide both sides by 7, x = 14.

Plug that x value into (3x-8), [3(14)-8] = 34 degrees.

Answer:

34 degrees

Step-by-step explanation:

So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!

¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años

Hi the answer should be 4

Answer:

80

Step-by-step explanation:

[tex]3x^2 + 2y^3[/tex] = [tex](3 * (-4))^2 + (2 * (-2))^3[/tex] = [tex](-12)^2 + (-4)^3[/tex] = [tex]144 + (-64) = 80[/tex]

Answer:

B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH

[tex] \frac{132 }{2?} = 66[/tex]

Answer:

get them googel

Step-by-step explanation:

Answer:

The cost of the roses are $53.10

Celebration! Hope this helps ^_^

Answer:

105

Step-by-step explanation:

A straight line is 180 degrees so 180-75=105

Answer:

x= 105 degrees

Step-by-step explanation:

We know that the sum of x and 75 degrees is equal to 180 degrees.

So that means that x= 180-75 or x=105 degrees

Answer:

49c2

Step-by-step explanation: