Assume that adults have IQ scores that are normally distributed with a mean of ?=100 and a standard deviation ?=20. Find the probability that a randomly selected adult has an IQ less than 140.

Answers

Answer 1

Answer:

The probability that a randomly selected adult has an IQ less than 140 is 0.9772

Step-by-step explanation:

Given:

Standard deviation: σ=20

Mean: μ=100

P(X<140)=?

Calculate:

normalcdf(lower,higher,μ,σ) = normalcdf(0,140,100,20) = 0.9772496509 ≈ 0.9772 ≈ 97.72%


Related Questions

Type the missing numbers in this sequence:
93, __, __, 87, 85, 83​

Answers

Answer:

if you noticed, it is reduces by 2

so the sequence would be

93, 91, 89, 87, 85, 83

-------------------------------------------------

Hope this helps!

Answer:

93,91,89,87,85,83

Ai chỉ cách làm cho mk vs ạ

Answers

I don’t understand sorry

janet obtained 32% for her statistics test, which was out of a total of 300 marks. how much should she score in the computer science test that is out of 200 marks in total if she is to get proportionally weighted average of 46%​

Answers

Her score in computer to get a proportionally weighted average of 46% will be 134.

The total score for both subjects = 200 + 300 = 500

Since the proportionally weighted average is 46%, then her score will be:

= 46% × 500

= 0.46 × 500

= 230

Since she had 32% for her statistics test, which was out of a total of 300. Her score will be:

= 32% × 300

= 0.32 × 300

= 96

Therefore, her score in computer will be:

= 230 - 96

= 134

Read related link on:

https://brainly.com/question/24429956

factorize completely the expression(h+2k)²+4k²-h²​

Answers

Answer:

[tex]\rm 4k(2k+ h)[/tex]

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]

Open the brackets using the identity, (a +b)² = + + 2ab , we have ;

[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]

Simplify ,

[tex]\rm\implies 8k^2+4hk [/tex]

In the above expression 4k is common in both the terms , so that ,

[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

Learn more here:https://brainly.com/question/12486387

The ____ juice is made with a greater percent of water.

Answers

Answer:

Orange and apple

Step-by-step explanation:

Mark brainliest, isaac farts all the time u don’t want him to fart on u next

Bài 7. Biện luận theo tham số a hạng của các ma trận sau:

a)
1 2 1
0 3 2 1
5 1 0
2 7 0 1
a

a
  
 

 
  
    

b)
0 0 2 5
0 3 4
0 11 4 7
3 4 1
a

a
   
 
 
   

c)
1 2 0 3
1 1 4
0 5 1 1
0 4 0 6
a
   
 

 
  
  

Answers

Answer:A

Step-by-step explanation:A

one step equations. due in 30 minutes pls help quick!!

Mr. Rao's gas tank holds up to 17 gallons of gas. It took 12.65 gallons of gas to fill his tank. How many gallons of gas did Mr. Rao have in his tank before he filled it? Enter your answer as a decimal or as a mixed number in simplest form in the box.
only answer if you know it

Answers

Answer: Im 99.9% sure that its 4.48

Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48   :)

How many 0.25 are there in 10.5?​

Answers

10.5/0.25 = 42

the answer is 42

Answer:

42

Step-by-step explanation:

to find how many 0.25 there are in 10.5 we have to divide 10.5 by 0.25

10.5÷0.25

=42

Hope this helped you- have a good day bro cya)

is 78.50 is the same as 78.5

Answers

Answer:

yes, 78.50 is the same as 78.5

Step-by-step explanation:

You can consider 78.50 as 78.5, cause we basically remove the 0 from it.  The whole point is, they are both the same.

Hello there!

Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Solve pls brainliest

Answers

Answer:

In order: 7.5, 7.5061, 7.56, 9.213

Step-by-step explanation:

How would I find the derivative of 2^3^x^2 ​

Answers

Answer:

d

y

d

x

=

4

3

x

3

 

Explanation:

y

=

2

3

x

2

=

2

3

x

2

Applying the power rule:

d

y

d

x

=

2

3

(

2

)

x

3

=

4

3

x

3

Step-by-step explanation:

n divided by 100 equal 0.982​

Answers

Answer:

98.2

Step-by-step explanation:

100 x 0.982 = 98.2

98.2 / 100 = 0.982

What is the measure of 1

Answers

Answer:60

Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120

I have more question then this

Answers

reflection over y axis...........

A machinist needs to drill 4 holes 6/16” in diameter. What is the hole size in eights of an inch?

Answers

Answer:

3/8"

Step-by-step explanation:

Reduce the fraction.  The numerator and denominator are both divizable by 2 which leaves 3/8

PLEASE HELP ILL MARK BRAINLIEST AND SHOW ALL YOUR WORK

Answers

Answer:

5

Step-by-step explanation:

f(-1) = -3(-1)^3 + 2(-1)^2

f(-1) = -3(-1) + 2(1)

f(-1) = 3 + 2

f(-1) = 5

Hope this helps! Pls give brainliest!

Answer:

5

Step-by-step explanation:

plug in -1 for x

so

[tex] -3 ({ - 1})^{3} + 2 ({ - 1})^{2} [/tex]

went we solve we get

[tex]3 + 2 \\ = 5[/tex]

so 5 is ur answer

pls give brainlist

if any questions ask

have a great day thanks :)

pls help this is due tonight

Answers

Answer:

3. 10

4. 6

5. 81,000

6. 36

7. x=-0.5

Step-by-step explanation:

3. 25-3(5)

4. 3 + 3

5. 81 x 1000

6. 4 x 9

The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?

What is the probability that a K-cup will have more than .33 ounces?

Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?

K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"

In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces

The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?

Answers

Using the Empirical Rule, it is found that:

95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.

First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.

0.33 ounces is one standard deviation above the mean.

68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:

0.16 = 16% probability that a K-cup will have more than .33 ounces.

16% weigh less than 0.23 ounces. Out of 128:

[tex]0.16(128) = 20[/tex]

20 of them will weight less than 0.23 ounces.

5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.

0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.

Thus, the proportion between 0.23 and 0.38 is:

[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]

Out of 44:

[tex]0.815(44) = 36[/tex]

36 will weigh between 0.23 and 0.38 ounces.

68% are within 1 standard deviation of the mean.

Out of 44:

[tex]0.68(44) = 30[/tex]

30 of the Sam's Club box of K-cups are ideal.

A similar problem is given at https://brainly.com/question/13503878

Simplify the variable expression by evaluating its numerical part, and enter your answer below.

(13 - 6) • w

Answers

Answer:

7w

Step-by-step explanation:

Simplify the parenthesis first

(13-6)=7

Then multiply by the w

7*w=7w

(13-6)*w=7w

* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).

The person above should be showning the correct w= answer

Top Kwartalan In Indonesian ☺

[tex] {5}^{5} = [/tex]

Answers

Answer:

3125

Step-by-step explanation:

5*5*5*5*5

Solve for X in the questions​

Answers

Step-by-step explanation:

x = 360°- (90°+36°+36°)

= 360 - (162°)

= 198°

>> Answer

___________

[tex] \: [/tex]

Step by step :

PQR = 360°

QR = 90°

PQ = 36°

RX = 36°

Soo :

x = 360° - (90° + 36° × 2)

x = 360° - (90° + 72°)

x = 360° - (162)

x = 198°

no link or bot right please

Answers

Answer:

4^-14

Step-by-step explanation:

4^-5 x 4^-4 x 4^-5 = 4^-14

1/4^14

on his social studies test,cody answered 87 out of 95 questions correctly what portion of his answers was correct?write your answer as a decimal rounded to the nearest thousandth

Answers

Answer:

92%

Step-by-step explanation:

PLEASE ANSWER THIS ROTATIONAL SYMMETRY QUESTION ITS 6TH GRADE I WILL GIVE U THANKS AND BRAINLIEST

Answers

Answer:

See below:

Step-by-step explanation:

The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.

The second one is 1 since we will only get it after a 360 degree rotation once,

The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.

The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once

The fifth one is twice since it will be the same at 180 and 360 degrees.

how many fifths are there in 4 wholes? (see the illustrate given)​

Answers

Answer:

To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes

(A)

The graph shows the motion of a car on a highway.

Which statement describing the motion of the car is best supported by the graph?

Answers

Answer:

you didnt give the options .. but its going to be the one saying something like its staying the same speed.

The number of students in the tutoring center was recorded for 47 randomly selected times. The data is summarized in the frequency table below.

Number
of Students Frequency
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12


What is the class width for this Frequency Distribution Table?

Class width =

Answers

Using the information given, it is found that the class width for this frequency distribution table is of 1.

In this problem, these following classes are given:

0 – 1 14

2 – 3 1

4 – 5 8

6 – 7 12

8 – 9 12

The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.

The difference between the bounds of the classes is of 1, thus, the class width is of 1.

A similar problem is given at https://brainly.com/question/24701109

Simplify the following expression:
За2 + 2а – 2а? - а

Answers

Answer:

3a^2

Step-by-step explanation:

2a-2a is equivalent to 0 there by making 3a^2 remaining

Which type of function best models the data in the set of ordered pairs?
(-2, 16),(-1, 8), (0,4), (1, 2), (2,1)
Your answer:
A.Linear
B.Quadratic
C.Exponential

Answers

Answer:

C) Exponential

Step-by-step explanation:

If you divide the consecutive y-values, you'll get a consistent result of 2:

16/8 = 2

8/4 = 2

4/2 = 2

2/1 = 2

This type of pattern corresponds to an Exponential Function.        

determine whether WX and YZ are perpendicular,or, neither W(-7,6),X(-6,9)Y(6,3),Z(3,-6)

Answers

Answer:  The lines WX and YZ are parallel.

Step-by-step explanation:  We are given to check whether the lines WX and YZ are parallel, perpendicular or neither if the co-ordinates of the endpoints of both the lines are

W(3,4), X(5,7), Y(8,2) and Z(6,-1).

We know that the slope of a straight line passing through the points (a, b) and (c, d) is given by

m = d-b/c-a

So, the slope of the line WX is

m1 = 7-4/5-3 = 3/2

and the slope of line YZ is

m2 = -1-2/6-8 = -3/-2 = 3/2

Since , we get  m1 = m2, so the two lines WX and YZ are parallel.

Thus, the lines WX and YZ are parallel.

They are not perpendicular, so if you mistyped something and it was parallel that would be the answer, or the answer is neither the mysterious angle form or perpendicular. Hope this helps.

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