IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a randomly chosen person's IQ score will be between 101 and 134, to the nearest thousandth

Answers

Answer 1

Answer:

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a randomly chosen person's IQ score will be between 101 and 134, to the nearest thousandth

z = (x-μ)/σ, where x is the raw score,

μ is the population mean = 100

σ is the population standard deviation = 15

For x = 101

z = 101 - 100/15

z = 0.066667

Probability value from Z-Table:

P(x = 101) = 0.52658

For x = 134

z = 134 - 100/15

z = 2.26667

Probability value from Z-Table:

P(x= 134) = 0.98829

Therefore,


Related Questions

The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?
(Write the explanation and answer)

Answers

Each young person received 200 circulars.

3,000/15= 200

a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation

Answers

Answer:

The new center is the point (-x, y)

Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).

See the attached image for an example.

The circle on the right has center (3, 1).  When reflected across the y-axis, the reflected center is (-3, 1).

Which shows all the factor pairs of 27?

Answers

Answer:

The factors of 27 are 1, 3, 9, and 27 (๑・ω-)~♥”

Answer:

The factor of 27 are: 1, 27, 3, 9

Step-by-step explanation:

Set up the equations to determine s and t.

Answers

Answer:

t° = 11° s°= 71°

Step-by-step explanation:

79° + t° =90° (Given)

t°= 90° - 79°

t°= 11°

s°+79°+11°+19° =180° (angles on an str line)

s° = 180° - 109°

s° = 71°

how many puppies were rescued 12x+3=

Answers

Answer:

36

Step-by-step explanation:

12 x 3 = 36

Where is (5,10) on a Coordinate Plane?

Answers

Answer:

Step-by-step explanation:

Start at the origin (0, 0).

Move your pencil point 5 units to the right.  Draw a vertical line through this new point.  This is the line x = 5.

Now move your pencil point up to y = 10.  Plot a point there.  This is the point (5, 10) on your coordinate plane.

please help me !! this diagram is not to scale.

Answers

Answers:

sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24

==============================================

Explanation:

We use these rules shown below

sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacent

For reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).

Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.

Use SOH CAH TOA
for Sin it is opp over hyp
Cos = adjacent side over hyp
Then for Tan it's opposite over adjacenct

What is the first step you will use to solve this equation:

4x +2 = 7x - 13

Answers

I would subtract 4x from 7x to get x on one side.

The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution

Answers

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
O {xx>-4 and x <2}
O {x| X <-4 or x > 2)
O {x} x <-2 or x > 4)
O {X/ x>-2 or x <4}

Answers

Answer:

{x | x < 2 and  x < -4 }

Step-by-step explanation:

Given the inequality 5(x - 2)(x + 4) > 0?

This also means x - 2 < 0 and x + 4<0

For x - 2 < 0

Add 2 to both sides

x - 2 + 2 < 0 + 2

x < 2

Similarlry for x + 4 <0

Subtract 4 from both sides

x+4-4 < 0 -4

x < 0 -4

x < -4

x < 2 and  x < -4

Hence the required solution is {x | x < 2 and  x < -4 }

can someone please help me find the value of X?​

Answers

Answer:

x = 15°

Step-by-step explanation:

The secant- tangent angle x is half the difference of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (80 - 50)° = 0.5 × 30° = 15°

In a sale, the selling price of a bicycle is reduced by 20%. Find the sale price of the bicycle, given that its normal selling price is Rs 3300.

Answers

Answer:

1-0.2=0.8

0.8*3300= 2640

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

EASY GEOMETRY/10 POINTS/WILL MARK AS BRAINLIST
WHICH IS NOT A PYTHAGOREAN TRIPLE

Answers

Answer:

Answer = D.) 9, 12, 16

Step-by-step explanation:

Answer:

[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]

Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40

Answers

Answer:

The answer is 19.

Step-by-step explanation:

This is because the sequence adds up by 7 each time. Have a nice day!

Answer:

19

Step-by-step explanation:

The sequences are adding 7, so 12 + 7= 19

I hope this helps :D

Find the slope of a line that goes through the two points (-1, 1) and (-3, -7).

Answers

Answer:

the slope of the line is 4 and the working is in the attached picture

Answer:

4

Step-by-step explanation:

[tex]\frac{-7 - 1}{-3-(-1)}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

Please help with this pls.

Answers

Answer:

x = 9

(5x9) - 1° = 45 - 1 or 44°

Step-by-step explanation:

the little square indicates the angle is a right angle, measuring 90°

therefore, you can solve for 'x' by creating this equation:

46 + 5x-1 = 90

45 + 5x = 90

5x = 45

x = 9

I neeed help anyoneeee plssss

Answers

1/2; there’s always a chance to get either heads or tail, and it doesn’t change after a toss

Math riddle!
A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?

Answers

Answer:

47

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

The common number among the three is 47.

Lee took 10 pictures with a camera and 2 of them were pictures of airplanes.
What percent of the pictures that Lee took were pictures of airplanes?

Answers

Answer:

20%.

Step-by-step explanation:

100/20 is 20%, but so is 10/2 because it is the same, but simplified.

Through: (-3,1), slope = 2

Answers

Answer:

y = 2x + 7

Stepy by-step explanation:

y = 2x + b

1 = 2(-3) + b

1 = -6 + b

7 = b

Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)?

Answers

I think the answer is B

A student began a proof of the law of sines using triangle xyz. His work is shown. The student has ____ started the proof. The next step in the proof is to ____. Then the student should _____.

Answers

To correctly prove the law of sines in a triangle the student should begin with the most basic or evident piece of information, then add related statements to it. and finish the proof with the conclusion or re-statement of the law.

What does it mean to prove in Mathematics?

A mathematical proof refers to a set of statements that logically demonstrate a law is true or the mathematical statement is valid, which means the prepositions and conclusion are valid.

How to write a proof?

The general pattern for proof is:

Write down the law or expression that you want to prove.Add statements that show the expression or law as valid by starting with the simplest or most evident reason and moving to more complex reasons.Re-state the law or conclude the statement is valid.

Note: This question is incomplete because the proof is missing; due to this I answered it based on general knowledge.

Learn more about proof in: https://brainly.com/question/2034189

Answer:

The student has

correctly

started the proof.

The next step in the proof is to

express h in terms of angle X and side z

.

Then the student should

set the expressions for h equal

.

Step-by-step explanation:

Will give brainliest
GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT

Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS

Answers

So u do is 1 .20 x 2 equal equal 1:40 round 140 so the answer is 140

Set up a proportion.
What is h?

Answers

Answer:

Decimal:

h = 4.2 ft

Fraction:

[tex]h=4\frac{1}{5}[/tex] ft

Step-by-step explanation:

[tex]\frac{9}{15} :\frac{h}{7}[/tex]

Cross multiply.

h · 15 = 9 · 7

Simplify.

15h = 63

Divide each side by 15.

15h ÷ 15 = 63 ÷ 15

Simplify.

h = 4.2

Graph the function.

f(x)=4⋅(3/2)^x

Answers

Answer:

Graph the function.

Step-by-step explanation:

Which of the following sets of numbers could represent the three sides of a triangle?
O {7, 11, 15}
O {13, 19, 34}
O {9, 24, 34}
O {11, 15, 28}

Answers

Option number 1 would be correct, when 2 sides are added together and are bigger than the third number it will create an equilateral triangle
Option 1 is the correct answer.

CORRECT TO ONE DECIMAL PLACE
[tex]2x(x - 3)[/tex]

Answers

2x^2-6x let me know if helps

Calculate the area of the figure.

HELP

Answers

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

please help guys!!

2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions

Answers

Answer:

and the question is? I'm confused

Solve the inequality 3x - 5 < 4.


x < 3

x > 3

x < 1/3

x > 1/3

Answers

Answer:

      x < 3

Step-by-step explanation:

Since 3x - 5 < 4 then we can transpose the inequality to make x the subject of the equation:

    If 3x - 5 < 4

⇒    3x < 4 + 5

⇒       x < 9 ÷ 3

⇒       x < 3

Answer:

x<3

Step-by-step explanation:

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