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

En un acuario compraron 30 peces y 18 tortugas de agua. Los van a colocar en peceras. Cada una tiene que haber la misma cantidad de peces, la misma cantidad de tortugas y la mayor cantidad de animales posibles ¿cuantas peceras compraron? ¿cuantos peces compraron? ¿cuantos peces y tortugas puede tener cada pecera? Diganme porfaa

Answers

Answer:

a) ¿Cuántas peceras compraron?

Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.

b) ¿Cuántos peces y tortugas puede tener cada tanque?

3 peces por tanque

5 tortugas de agua por tanque

Step-by-step explanation:

Resolvemos la pregunta anterior utilizando el cálculo de múltiplo común más bajo

En un acuario compraron 30 peces y 18 tortugas de agua.

Encuentre y enumere los múltiplos de cada número hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

El mínimo común múltiplo es el número de tanques

Múltiplos de 18:

18, 36, 54, 72, 90, 108, 126

Múltiplos de 30:

30, 60, 90, 120, 150

Por lo tanto,

MCM (18; 30) = 90

a) ¿Cuántas peceras compraron?

Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.

b) ¿Cuántos peces y tortugas puede tener cada tanque?

El número de peces que puede tener cada tanque = Número de tanques / Número de peces

= 90/30

= 3 peces por tanque

El número de tortugas de agua que puede tener cada tanque =

Número de tanques / Número de tortugas de agua

= 90/18

= 5 tortugas de agua por tanque

find the surface area:

Answers

The answer is 28 I hope this helps

two teams play a series of games, wher both teams have an equal probability of winning each game. its a best- of-five series, so the frist team to win three games is the winner. what is the probability that the series lasts five games

Answers

Answer:

0.375

Step-by-step explanation:

With equal probability, hence

p for both teams = 0.5

First team to win three games win, probability that series lasts 5 games :

This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :

Each team winning two games and any of the teams could be the eventual winner :

From binomial relation :

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 0.5

Team A :

Winning any 2 from 4 and winning the 5th

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Team B :

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Hence, the probability that series lasts five games is :

[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]

0.1875 + 0.1875

= 0.375

Using the figure shown, match each Trigonometic Ratio to the ratio of the sides.

Answers

Answer:

Step-by-step explanation:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Answer:

Solution given:

Trigonometic Ratio to the ratio of the sides. are.

SinA=a/c

CosA=b/c

TanA=a/b

find the circumference of a circle with a radius of 2.5 cm

Answers

C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm

What is the sum of the interior angles in this shape?

Answers

Answer:

720° :)

Step-by-step explanation:

You can find the total interior angle for any shape using the following (n being the number of sides):

S = ( n - 2 ) × 180 °

S = (6-2) * 180

S = 720

I believe 720 because every triangle is 180 so your can be made up of 4 triangles, so multiply 180 times 4

Find the volume of the triangular prism.​

Answers

Answer:

theres no picture

Step-by-step explanation:

whats this picture's eqeuation

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

The slope can be found by taking two points, for instance: (0,3) and (3,9) which lie on the graph.  Find the slope between the two, remember rise over run:

(9-3)/(3-0) = 6/3 = 2

The y-intercept is (0,3)

So b in the y= mx + b equation is 3.

m is the slope, so it is 2.

y = 2x + 3

Hurry please need fast

Answers

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

Does anyone understand? Need help asap

Answers

Answer:

it's 149.(54)=7

Step-by-step explanation:

that's the answer

Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?​

Answers

2 hours = 120 minutes
120 minutes =science
140 minutes = math

She spent more time on math homework

140-120=20

She took 20 more minutes on her math homework than her science homework.

ASAP
-WILL MARK BRIANIST

Answers

its A, C, and E

Good Luck

Answer:

I got A and C

Step-by-step explanation:

The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.

A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.

Answers

Answer:

3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(40-12)/4

  28/4

     7

BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)

Answers

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

hey quyzz. Can someone pls help.

Ive been working on this equation for some and i am not sure wheter the answer is 27/340 or 11/170. pls give full workings. will give brainly.


[tex](2 \frac{3}{3} \div 4 - \frac{3}{10} ) \times \frac{3}{17} [/tex]

Answers

[tex] \frac{27}{340} [/tex] ✅

Step-by-step explanation:

[tex]( \frac{2 \frac{3}{3} }{4} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{ \frac{9}{3} }{4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{3 \times 4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{12} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{9 \times 5}{12 \times 5} - \frac{3 \times 6}{10 \times 6} ) \times \frac{3}{17} \\ = ( \frac{45 - 18}{60} ) \times \frac{3}{17} \\ = \frac{27}{60} \times \frac{3}{17} \\ = \frac{81}{1020} \\ = \frac{27}{340} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.​

Answers

Answer:

Distance of first boat = 8 meter

Distance of second boat = 13.87 meter (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 8 meter

Angle of depression respectively = 45° and 30°

Find:

Distance of boats

Computation:

Tanθ = Perpendicular / Base

Tan45 = 8 / Distance of first boat

1 = 8 / Distance of first boat

Distance of first boat = 8 meter

Tan30 = 8 / Distance of second boat

0.577 = 8 / Distance of second boat

Distance of second boat = 8 / 0.577

Distance of second boat = 13.8648

Distance of second boat = 13.87 meter (Approx.)

select the correct answer from the drop-down menu

find the polynomial

(5) is the solution set of ___

A. X^2-5x + 25=0

B. X^2 + 10x + 25 = 0

C. X^2-10x+25=0

D. X^2+5x+25=0

Answers

c is the answer bc its (5)^2-10(5)+25 so then it is 25-50+25 which = 0

I need to find this angle please help i know it is adjacent but i need the angle.

Answers

Answer:

148 degrees!

Step-by-step explanation:

They are 180 degrees together so just subtract 32. 180- 32 = 148.

Answer:

148°

Step-by-step explanation:

A flat angle measures 180°

180° - 32° = 148°

PLEASE ANSWER THIS



. . .



please

ΔΔ

U

Answers

Answer:

58

Step-by-step explanation:

The center line in a box plot represents the median

Please help me on this problem

Answers

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20

I am in need for help please

Answers

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

PLEASE HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

B the second answer is correct!!!!

Step-by-step explanation:

Hope This Helped

Let me know if its wrong or not but i 99.99% believe it's correct

ANSWER: B

EXPLANATION:
If a predator moves to the area and is feeding off the red fish because they are seen by their color, the prey will need to adapt to the new situation. Therefore, they must change to the whiter colors so they are less seen for the red. This is a form of prey adaptation.

Need help with this struggling a bit.

Answers

The answer is A hope it helps plz mark me a brainlest

V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

Expand to write an equivalent expression. −5(7m−2)

Answers

Answer:

Step-by-step explanation:

-5(7m-2)

-5*7m-(-5)*-2

-35m+10

The expansion of an equivalent expression −5(7m−2) is -35m + 10.

What is a distributive property?

Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.

Given expression

−5(7m−2)

For expanding the expression, use distributive property

= -5 × 7m - (-5) × (-2)

= -35m + 5 × 2

= -35m + 10

Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.

Learn more about distributive property here

https://brainly.com/question/23137494

#SPJ2

Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?

Answers

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

which of the following statements are true about solving equations

Answers

Answer:

u need to provide the statement

Step-by-step explanation:

I think you legit to upload a pic !

Mel received notice that his monthly health care rate will increase 20% next year. If Mel currently pays $150 per month for health care, by what amount will his rate increase next year?

Answers

It will increase by $30

We need to convert the percentage to a decimal by dividing by 100. Then we multiply by the $150.

150 x 0.20 = 30

Jessica rents a bike for $15 plus $3 for each hour of use. She pays $27 in total. How long did Jessica rent the bike for? Choose the equation and solution which describe this situation.

Answers

Answer:

$27-$15

= $12

$3 per hour

$12÷$3

=4 hours

Jessica rent the bike for 4 hours.

please help!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.

Answers

Answer:

1) m<DBE= 140

2)m<EBD= 30

Step-by-step explanation:

1) 5x-60= x+20

4x= 80

x= 20

plug in the x into the equation: (x+20)---> (20+20)=40

180-40= 140

2) 4x-2+20x-10= 180

24x= 192

x=8

plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30

3) im not sure

4) im not sure

Answer: did you see my answer on the second page?

Step-by-step explanation: IM SORRY PLEASE DONT BAN ME

what are the points when you graph y = -7x -1

Answers

Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)

Step-by-step explanation:

Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.

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