Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
105 is on the graph

Answers

Answer 1

Answer:

Probability =0.8854 (Approx)

Step-by-step explanation:

Given:

Mean μ = 100

Standard deviation σ = 15

Computation:

Z at 70

Z = (70-100)/15

Z at 70  = -2

Z at 120

Z = (120-100)/15

Z at 100 = 1.33

Probability = φ(1.33) - φ(-2.0)

Probability = 0.9082-0.0228  

Probability = 0.8854 (Approx)


Related Questions

find the missing value of 6/9 = m/6​

Answers

Answer: 4

Step-by-step explanation:

6/9 = m/6  We can multiply both sides of the equation by 6 to solve for m

so we get 36/9 = m. m = 4

5) Find the distance between -9 and 12 on a number line.​

Answers

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

n = 2, a = 16


"Find the indicated real nth root(s) of a.

Answers

x^n = a
x^2 = 16
Square root of 16 = 4
The root is 4

The value of the indicated real nth root(s) of a will be 4.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The values are,

⇒ n = 2, a = 16

Now,

Since, We know that;

The indicated real nth root(s) of a = [tex]\sqrt[n]{a}[/tex]

Here, The values are,

⇒ n = 2, a = 16

Thus, The indicated real nth root(s) of a is,

⇒ [tex]\sqrt[n]{a}[/tex]

⇒ ²√ 16

⇒ 4

Thus, The indicated real nth root(s) of a = 4.

Learn more about the indicated nth root visit:

https://brainly.com/question/12114551

#SPJ5

Linear equation: -1 (6x + (6x + 10) = 13
Step 1: -3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6

Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the division property of equality
O the addition property of equality and then the multiplication property of equality
O the subtraction property of equality and then the division property of equality
O the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

the addition property of equality and then the division property of equality

Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer:

It is 150.

Step-by-step explanation:

This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23

I needs help with this question pls

Answers

Answer:

Is it A

Step-by-step explanation:

Which value is equivalent to (7•3•2/7•5) ^2 × (7^0/5^-3)^3 × 5^-9
(please help I'm confused picture makes more sense)​

Answers

Answer:

36/25

Step-by-step explanation:

If you need help and nobody is answering you or they don't know how to do it. Look at picture below

if a coin is flipped 3 times, how likely are you to get tails 3 times in a row​

Answers

Answer:

Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

Step-by-step explanation:

jim koslo earns $156,200 annually as a plant manager. He is married and supports 3 children. The state tax rate in his state is 3.55% of taxable income. What ammount is withheld yearly for state income tax?

Answers

Answer:

44

Step-by-step explanation:It's 44 because 156,200 divided by 3.55=44.

If jim koslo earns $156,200 annually as a plant manager. The state tax rate in his state is 3.55% of taxable income. then 5545.1 is the amount is withheld yearly for state income tax

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

jim koslo earns $156,200 annually as a plant manager.

The state tax rate in his state is 3.55% of taxable income.

We need to find the  amount is withheld yearly for state income tax

We need to find 3.55% of 156200

First we have to convert 3.55% to decimal by dividing with 100

3.55/100=0.0355

Now multiply 0.0355 with 156200

0.0355×156200

5545.1

Hence 5545.1 is the amount is withheld yearly for state income tax.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ5

Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train

Answers

Answer:

18

Reason:

the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.

3(x − 2) = 12 nvwdksbvjkdsbvjkds jksncjv

Answers

X=6, solved for x. Cxxxxxx

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B

please help - it neeeeddd this - im going to fail - i will give you a lot of points

Answers

The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.

Answer:

389202838

Step-by-step explanation:

Classify the shape as precisely as possible based on its markings.
Question 11 options:

A)

Rhombus

B)

Quadrilateral

C)

Parallelogram

D)

Rectangle

Answers

Answer:

c is wrong

Step-by-step explanation:

The given shape is a rhombus.

Hence the correct option is A.

Given is a shape we need to identify its type,

Since all the sides are congruent shown, so we can conclude that the shape is a Rhombus.

A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length. Additionally, the opposite sides of a rhombus are parallel to each other.

The rhombus is also a special type of parallelogram, as it has all the properties of a parallelogram, including opposite sides being equal in length, all the sides being equal and opposite angles being equal in measure.

Hence the correct option is A.

Learn more about Rhombus click;

https://brainly.com/question/12665650

#SPJ2

HELPPPPPPP PLEASEEEEEEEEWEEE

Answers

Answer:C

Step-by-step explanation: slope of 0 will always be horizontal

Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?

Answers

Answer:

His unit rate per month is 25 dollars

Step-by-step explanation:

Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.


The value of a school bus reduces from $512000 to $343000 in 3 years. Find the
uniform rate of depreciation per annum (R).​

Answers

Hope this helps!!!!!!!!!!!!!!!!!!!

Find the slope using the formula.
(-2, -8) and (4, -6)

Answers

Answer:

1/3

Step-by-step explanation:

-8 - -6 = -2

-2 - 4 = -6

-2/-6 = 2/6 = 1/3

Use the Distributive Property to simplify

1/7 x (56 - 1/4)

Answers

Answer:

7.96428571429

Step-by-step explanation:

Round you the nearest number.

The answer is 223/28 or 7 27/28 when Simplified

I just muiltpyied 1/7 with 56 and -1/4 .

Plz mark branliest

Which is the equation of a line that passes through the point(-2,5) and has a slope of zero?

Answers

Answer:

y = 5

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define variables

Point (-2, 5)

Slope m = 0

Step 2: Write function

y - 5 = 0(x + 2)

y - 5 = 0

y = 5

Step 3: Identify

y = 5 is a horizontal line.

can someone help me pls

Answers

3/7 is bigger than 1/4 common denominator: 28

When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.

Answers

Answer:

Step-by-step explanation:

It depends on what you have been told about rounding when a 5 is involved.

If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.

I would go with 4500.

4500


Step-by-step. Equation

Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?

Answers

I’m guessing 3 miles. You would have to cross multiply and solve for x, miles. I hope this is right.

Can u guys please help me and explain ur answer ❤️

Answers

Answer: Slope is -2/3

Step-by-step explanation:

Formula: y2 - y1/x2 - x1 =  m

Points (You can choose any two points, but I'll choose these): (1,8) and (4,6)

Explanation Steps:

y2 - y1/x2 - x1 =  m

6 - 8/4 - 1 = m

-2/3 = m

Slope is -2/3

The mass of Earth is 5.9722×1024 kg. The mass of Venus is 4.8685×1024 kg. What is the difference between the mass of Earth and the mass of Venus?

Answers

Step-by-step explanation:

5.9722x1024 - 4.8685x1024

1130.1888

HELPP!! ITS A LOT BUT YOU GET POINTS!

Answers

Answer:

To hard me brain go BOOM

Step-by-step explanation:

lol sorry i cant

1. Solve for m for the following equation

- (2 m + 8) > 4(10 - m )?

Answers

This is the answer to your question

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?

Answers

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

[tex]l^2 = h^2 +d^2[/tex]

[tex]l^2 = 6^2 + d^2[/tex]

[tex]l^2 = 36 + d^2[/tex]

We relate to:  [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]

From the question;

l = 34,

So to find [tex]\dfrac{dd}{dt}[/tex], we get;

[tex]d = \sqrt{l^2 - 36}[/tex]

[tex]d = \sqrt{34^2 - 36}[/tex]

[tex]d = \sqrt{1156- 36}[/tex]

[tex]d = \sqrt{1120}[/tex]

d = 33.46

So, we have:

[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]

[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]

[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]

[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]

A) -2/3

B) -1/3

C) 1/3

D) 2/3

Answers

Answer:

D

Step-by-step explanation:

(0, -3), (6,1) these are the points

Using the slope formula:

1+3/6-0= 4/6=2/3

Thus, it is D

What is the sum of the interior angles of a quadrilateral?
90°
180°
270°
360°

Answers

Answer:

360º

Step-by-step explanation:

too easy

Answer:

360

Step-by-step explanation:

I had it on a quiz also plz mark brainliest im trying to level up

Other Questions
Help! I Greatly appreciated it. 12(y + 6) = 48What is y? Both the British and the Americans frequently used horseback riders to carry messages, and both sides tried to capture the riders and get the messages. The rider who lost one of Washington's important messages was Tallmadge himself. It happened when Tallmadge and some of his men were attacked by British troops near the ConnecticutNew York border. Tallmadge escaped unharmed but lost a saddlebag full of secret papers.Luckily, Tallmadge's code did not fall into British hands. But among the papers was a letter from Washington in which he carelessly gave the name and address of an agent, George Higday, saying that he was a man who would probably "convey intelligence to me." Higday was arrested, but he had managed to destroy all evidence of spying. That move probably saved him from hanging.Which statement best expresses the central idea of the excerpt? Read the excerpt from "Gawayne." What is the best inference a reader can make from this excerpt? "Forgive me, lady," said he;"... you can perhaps help me; if you would do this, lady, and teach me how to pay my ransom, I will grant anything you ask as a reward.". The deformed lady said: "Swear to me... that you will grant me whatever... lask, and I will help you to the secret. Yes, Sir King, I know by secret means that you seek the answer to the question, 'What is it all women most desire? Many women have given you many replies, but I alone ... can give you the right answer. "Indeed, O grim lady, the oath I will take gladly," said King Arthur; and when he had sworn it ... the lady told him the secret, and he vowed with great bursts of laughter that this was indeed the right answer.O The lady will ask Arthur for a very large reward. O The lady's answer to the question is incorrect. O The lady will no longer be there when Arthur returns. O The lady has given him too many replies Write the Point Slope Form of the line of slope 5 and passing through the point (1, -1) What is an example of malignant tumor? Please I need help Ill give you 10 points as fast as you. An answer please Which of the following describes Johnson's role atNACA?AJohnson oversaw other female computers.BJohnson was responsible for repairingcomputersJohnson was responsible for developing therockets that were launched into space.Johnson did the math needed for launchingrockets into space. Read the passage below and answer the question that follows. Gina has been living in the southern United States for the majority of her life. She understands the damages that can be caused by hurricanes because she has experienced three in her lifetime. She feels like she can prepare for almost any type of hurricane damage except for the severe flooding caused by a storm surge. The word underlined in the sentence above is best defined as __________. A. broken pieces of an item that has been destroyed B. the altitude line above which trees will no longer continue to grow C. a large wall of water that is forced onto shore by storm winds D. a circular storm that creates winds exceeding 74 mph, large waves, and heavy rains Please select the best answer from the choices provided A B C D How should I reply to other peoples Discussion postEx: I agree with you and how you worded your paragraph Pls Help.!!Find the areas of the following: A square with a width and height equal to 5 feet. Explain why planet Earth has day and night. what do you mean by neighbouring country. pls don't write the any thing you want if you know the answer then only tell. what is d? -16(d + 1) = -20 Who was a great military leader who was liked by three people but not the nobles For a substance to change phases, the amount of Internal energy must change. Water exists in three phases: liquid, solid (ce), and gas (water vapor). Which of the following lists thephases in order of increasing total energy?Ogas, liquid, solidsolid, gas, liquidsolid, liquid, gasoliquid, gas, solld 1. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Calculate the Z score associated with 3 siblings. Your answer should be rounded to two decimal places, like 5.43 or 1.30.2. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Using the standard normal table, calculate the proportion of respondents who had more than 2 siblings. Your answer should be rounded to two decimal places, like 0.43 or 0.30. Simplify this expression Which of the following is not one of the common classifications of product liability defects? A. Manufacture B. Materials C. Packaging D. Both "Materials" and "Packaging" E. Design What kind of molecule can experience hydrogen bonding?A. A nonpolar molecule containing a hydrogen atomB. A molecule with hydrogen bonded to any nonmetalC. A molecule with hydrogen bonded to O, N, or FD. Any polar molecule containing a hydrogen atom Which city on the map is located at about 40 N, 75 W?please help!