If IQ Scores are normally distributed with a mean of 100 and a standard deviation of 15. If you randomly selected a person
from Montana, what is the probability, rounded to the hundredth, that a person will have an IQ less than 79?
Remember to use the percent sign in this question

Answers

Answer 1

Answer:

8%

Step-by-step explanation:

P(X<79) = normalcdf(0,79,100,15) = 0.0807567112 ≈ 0.08 ≈ 8%

Therefore, the probability, rounded to the hundredth, that a person from Montana will have an IQ less than 79 is 0.08 or 8%


Related Questions

You are playing a solitaire game in which you are dealt three cards without replacement from a simplified deck of 10 cards (marked 1 through 10). You win if one of your cards is a 10 or if all of your cards are odd. How many winning hands are there?

Answers

The total number of winning hands are 276.

What is the probability?

Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The probability of an event can be calculated using the following formula.

Probability of an event = Number of favourable outcomes/Total number of outcomes = x/n.

In the given question,

If the first card drawn is a 10, then there are

\(P_9^2=\frac{9!}{(9-2)!} =9*8=72 hands\)

There are 9 possible numbers if the second card is a 10, and there are 8 possible numbers if the third card, giving us,

\(9*8= 72 hands\)

If the third card is 10 then there are 9 possible numbers for the first card and 8 possible numbers for

second card, it gives us

\(9*8= 72 hands\)

And there are 5 odd cards, and it gives us:

\(P_5^3=\frac{5!}{(5-3)!} =5*4*3=60 hands\)

So, we have that in total we have

72+72+72+60=276 winning hands.

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think about whether the diagram represents a function.

Answers

Step-by-step explanation:

im sorry but i need more info or a picture or something to actually anwser the question...

Which of the following represents the series? –13 + (–7) + (–1) + 5 + 11

Answers

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

if it helped uh please mark me a brainliest :))

) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling

Answers

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

) 65 people were asked on the activities they engage in during their free time. The results showed that

given the following venn diagram, where a and b are each represented by an oval: exam image which regions make up ( aexam imagebc )c?

Answers

The correct answer is U - II = I + III + IV.

In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.

c represent the compliment of the particular state.

U is the union set

∩ represent intersection between the neighbouring sets

Therefore,

Bc = U - B = I + II

Bc∩A = Area common in Bc and A = II

(Bc∩A)c = Area in U but not in (Bc∩A) = U - II = I + III + IV

So, answer is d.

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A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Betty and Mary. The use of the word "or" in the description of the events, should be interpreted as the inclusive or. That is "A or B" means that A is true, B is true, or both A and B are true.What is the probability that Betty is first in line or Mary is last in line as a function of n? Simplify your final expression as much as possible and include an explanation of how you calculated this probability.

Answers

The probability that Betty is first in line or Mary is last in line as a function of n is  \(\frac{2n - 3}{n(n-1)}\).

It is given that number of kids are 'n' in the line including Betty and Mary. The total number of ways in which the kids can line up is "n!"

Let A denote that Betty is in the first place and B denotes that Marry is in the last place in the line.

Now, Betty can be at first place in (n-1)! ways

Therefore, P(A) = \(\frac{(n-1)!}{n!}\)

And Mary can be at last in the line in (n-1)! ways

Therefore, P(B) = \(\frac{(n-1)!}{n!}\)

Betty is first in the line and Mary is last in the line in  (n-2)! ways

so P(A∩B) = \(\frac{ (n-2)! }{ n! }\)

The probability that Betty is first in line or Mary is last in line can be calculated by

P(A ∪ B) = P(A) + P(B) - P(A∩B)

P(A ∪ B) =  \(\frac{(n-1)!}{n!}\) +  \(\frac{(n-1)!}{n!}\) - \(\frac{ (n-2)! }{ n! }\)

P(A ∪ B) = \(\frac{1}{n} + \frac{1}{n} -\frac{1}{n(n-1)} =\frac{2n -3}{n(n-1)}\)

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write bicontional statement

write bicontional statement

Answers

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

What is the biconditional statement.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Please help me answer this

Please help me answer this

Answers

Answer:

The answer is B

Step-by-step explanation:

Btw if its wrong im sorry

What best describes movement of particles in a solid

Answers

Answer:The particles in a solid are tightly packed and locked in place. Although we cannot see it or feel it, the particles are moving = vibrating in place.

Answer:

the movement of particles within a solid is normally slower, do to the particles being tighter together than the other classifications.

Suppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?

Answers

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

How to explain this

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

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Line u passes through points (10, 8) and (1, 10). What is the slope of line v?

Answers

\((\stackrel{x_1}{10}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{10}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{10}}} \implies \cfrac{ 2 }{ -9 } \implies - \cfrac{2}{9}\)

The coldest temperature
recorded in Buffalo was-39°F. This was 12°F
warmer than the coldest temperature recorded
in Chicago. Which equation can be used to find
the coldest temperature recorded in Chicago?
What is the coldest temperature recorded in
Chicago?
A. C-12-39; -51°
B. C+12=-39; -27°
C. C-12-39; -27°
D. C+12=-39; -51°

Answers

Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°

What is the temperature at its coldest in Chicago?

When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.

The formula would therefore be:

C = -39 + 12

Making the Buffalo temperature the subject gives;

C - 12 = -39

The coldest temperature in Chicago is:

= -39 + 12

= -27°F

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Plz help me well mark brainliest if correct!!...

Plz help me well mark brainliest if correct!!...

Answers

Answer:

The answer will be D

Have a great day :)

Answer: it would be D two of the fourth graders own two pets

Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets

Hope this helps :)

How many ounces of juice would you need for 5 ounces of berries

Answers

Answer: 4oz

Step-by-step explanation:

Can y’all help me on question 35?!

Can yall help me on question 35?!

Answers

Answer:

c

Step-by-step explanation:

C becasue 1 week = 15 mulitipication facts memorized

It’s D because w is number of weeks so c is wrong

Solve this simultaneous linear equation
50x + 56y=690
65x + 48y=711​

Answers

Answer:

Hope its help u

Step-by-step explanation:

solve

50 x + 56 y = 690

65 x + 48 y = 711

The solution is find out by Cramer's rule as you have not mentioned any specific method,

Its in image

Solve this simultaneous linear equation 50x + 56y=69065x + 48y=711

determine the quotient between 9/10 and 3/5 ​

Answers

Answer:

Step-by-step explanation:

Short answer 2/3 if you need more just text bcak I will be happy to explain

3(x+2) = 3x + 6 is an example of which property?

Answers

Answer:

Distributivity.

Step-by-step explanation:

1.) The acceleration of a particle moving along the x-axis at time t is given by a(t) = 6t-2. If the position is 10 when
t= 1, then which of the following could be the function for position x(t) = ?

Answers

The function for position x(t) could be x(t) = 3t^2 - 2t + 10.

What is function?

In mathematics, a function is a relation between two sets that assigns to each element of the first set exactly one element of the second set. In other words, it is a rule that describes how one set of values is related to another set of values. Functions are used to model real-world scenarios and to solve mathematical problems. Examples of functions include linear equations, polynomials, and trigonometric functions.

This is determined by using the equation x'(t) = a(t). Differentiating both sides of the equation, we get x'(t) = 6t - 2. Integrating this equation, we get x(t) = 3t^2 - 2t + C, where C is the constant of integration. Since x(1) = 10, we can substitute this value into the equation and solve for the constant of integration. Therefore, we get x(t) = 3t^2 - 2t + 10.

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Mrs. Banks made cookies. 2/3 FRACTION BTW
of them are chocolate chip cookies and 1/5 ALSO FRACTION BTW
of them are sugar cookies. The rest are oatmeal.

What fraction of the cookies are chocolate chip or sugar?

Answers

Answer:

13/15

Step-by-step explanation:

We Know

2/3 of them are chocolate chip cookies.

1/5 of them are sugar cookies.

What fraction of the cookies are chocolate chip or sugar?

2/3 + 1/5 = 10/15 + 3/15 = 13/15

So, 13/15 of the cookies are chocolate chip or sugar.

Two dice are rolled and the values of each die are added together. How many points are in the sample space?

Answers

Answer:

i dont understand. simplify please

Which expression is equivalent to 5(4x +3)-2x?
A- 18x+15 B- 18x+3 C- 7x+3 D- 2x+8​

Answers

Answer:

A. 18x + 15

Step-by-step explanation:

For this problem, we will simply simplify the given expression:

5(4x + 3) - 2x

= 5*4x + 5*3 - 2x

= 20x + 15 - 2x

= 20x - 2x + 15

= 18x + 15

Cheers

Which expression is equivalent to -42x^2+18x+7x-3x?

Answers

Answer:

-42x^2 + 22x

Step-by-step explanation:

Yes

If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

Answers

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, \( a*b = x*y \)

Thus:

\( 8*5 = 4*(6m - 2) \)

Solve for m

\( 40 = 24m - 8 \)

\( 40 + 8 = 24m - 8 + 8 \)

\( 48 = 24m \)

\( \frac{48}{24} = \frac{24m}{24} \)

\( 2 = m \)

The value of m = 2

if someone does this I'll give you 5 stars and follow you!​

if someone does this I'll give you 5 stars and follow you!

Answers

Answer:

The picture is really blurry, i can't see the questions

Use the graph of g(x) to answer the following question. The graph of g(x) is a translation of f(x)=x^2 Write the equation for g(x) in vertex form.​

Use the graph of g(x) to answer the following question. The graph of g(x) is a translation of f(x)=x^2

Answers

The equation for g(x) in vertex form is g(x) = (x - 2)^ + 3

Writing the equation for g(x) in vertex form.​

From the question, we have the following parameters that can be used in our computation:

The graph of g(x)

Also, we have

The graph of g(x) is a translation of f(x)=x^2


From the graph, we can see that

f(x) is translated 2 units rightf(x) is also translated 3 units up

Using the above as a guide, we have the following:

g(x) = f(x - 2) + 3

Substitute the known values in the above equation, so, we have the following representation

g(x) = (x - 2)^ + 3

Hence, the equation for g(x) in vertex form is g(x) = (x - 2)^ + 3

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Let x stand for the number of minutes spent waiting in line for a rollercoaster at an amusement park. 81 people are sampled at a time. The sample mean is 18 minutes and the sample standard deviation is 0.5 minutes. What is the standard deviation of the population?

Answers

Answer:

The standard deviation of the population is 4.5 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation of the population \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this question:

\(s = 0.5, n = 81\)

So

\(s = \frac{\sigma}{\sqrt{n}}\)

\(0.5 = \frac{\sigma}{\sqrt{81}}\)

\(\sigma = 9*0.5 = 4.5\)

The standard deviation of the population is 4.5 minutes.

Simplify each expression. 13. (9 − 3) 2− (5 • 4) 0= _________________ 14. (2 + 3) 5÷ (5 2 ) 2= _________________ 15. 4 2÷ (6 − 2) 4= _________________ 16. [(1 + 7) 2 ] 2• (12 2 ) 0= _________________

Answers

The expressions can be simplified as follows-

1. (9 − 3) 2− (5 • 4)0 = 12

2. (2 + 3)5 ÷ (5 × 2)2 = 5/4

3. 4 × 2 ÷ (6 − 2)4 = 1/2

4. [(1 + 7) 2] 2• (12 2 )0 = 0

Let us look at each expression one by one-

1. (9 − 3) 2− (5 • 4)0

Zero multiplied by any number is 0 itself. Thus, the expression becomes-

= (9 - 3) 2

= 6 × 2

= 12

2. (2 + 3)5 ÷ (5 × 2)2

According to the rules of BODMAS, we first solve the brackets-

(5)5 ÷ (10)2

= 25 ÷ 20

= 25/20

= 5/4

3. 4 × 2 ÷ (6 − 2)4

= 4 × 2 ÷ (4)4

= 8 ÷ (4)4

= 8/16

= 1/2

4. [(1 + 7) 2] 2• (12 2 )0

= [(8)2]2• 0

= 0

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A -pound bag of Feline Flavor is . An -pound bag of Kitty Kibbles is . Which statement about the unit prices is true?

Answers

Answer:

Where is the numbers dude? LOL

Step-by-step explanation:

3. - 15 x + 30 2 -3
Write the equation in slope-intercept form

Answers

Answer:

Rewrite the numbers. this isn't an equation

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Which type of rights are fundamental and belong to all citizens?substantive rightsprocedural rightsunenumerated rightsCivil rights Which sentence provides the clearest sense of a story's setting? Is this correct? If the boxes are checked that means it is true, if unchecked they are not true.Policy makers in the U.S. government have long tried to write laws that encourage growth in per capita real GDP. These laws typically do one of three things:a. They encourage firms to invest more in research and development in order to boost technology.Government grants patents for inventions. Establish a system of public schools and universities. Grants from National Science Foundation Grants from National Institute of Health Tax credits for R&D costs. Health savings accounts Education subsidies for veterans Lower tax rates on income earned through savings. 529 education savings accounts Retirement savings plans Government-provided student loansb. They encourage individuals to save more in order to boost the physical capital stock.Government grants patents for inventions. Establish a system of public schools and universities. Grants from National Science Foundation Grants from National Institute of Health Tax credits for R&D costs. Health savings accounts Education subsidies for veterans Lower tax rates on income earned through savings. 529 education savings accounts Retirement savings plans Government-provided student loansc. They encourage individuals to invest more in education in order to boost the stock of human capital.Government grants patents for inventions. Establish a system of public schools and universities. Grants from National Science Foundation Grants from National Institute of Health Tax credits for R&D costs. Health savings accounts Education subsidies for veterans Lower tax rates on income earned through savings. 529 education savings accounts Retirement savings plans Government-provided student loansFor each of the above three points, please name a law or government program with that intention. Assisting adults with disabilities to obtain jobs in the competitive market and providing them with the necessary physical, instructional, and social support to ensure success is called:_______. Any segment with both endpoints on the circle is a radius of the circle. Find the molar mass of (NH4)2Cr207.Answer in units of g/mol. what percent of observations in a normal distribution lie above one standard deviation below the mean? quinn has 3 hours to spend training for an upcoming race. she completes her training by running full speed the distance of the race and walking back the same distance to cool down. if she runs at a speed of 7mph and walks back at a speed of 3mph , how long should she plan to spend walking back? Which quote from the text highlights the influence that African cultures had on theAmericas?A. "communities made it illegal for enslaved people to learn to read" (Paragraph 3)B. "Music was more than social entertainment." (Paragraph 5)C. "they took little interest in the 'leftover' African foods." (Paragraph 8)D. Today, many African dishes are popular in the Americas." (Paragraph 10) help please write answers only What is 1/15 simplified How did I get this wrong? What is the term defining the number of times a cycle of an rf signal will oscillate in one second? Solution to x-8 = 4x-12 How did the study of the atom contribute to our understanding of the periodic table of the elements?. Housing prices in a small town are normally distributed with a mean of$125,000 and a standard deviation of $8,000. Use the empirical rule tocomplete the following statement.Approximately 99.7% of housing prices are between a low price of$ Ex: 5000 and a high price of $ Who is the villain in Gremlins 3? help ASAP please! ill mark brainliest the work breakdown structure (wbs) is a framework that will be used as a basis for further planning activities including all the following except: group of answer choices identifying key stakeholders. developing the project schedule. identifying project risks. developing the project cost estimate. What are human emotions test?