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%
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?
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.
To learn more about the probability visit:
brainly.com/question/11234923.
#SPJ4
think about whether the diagram represents a function.
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
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
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
given the following venn diagram, where a and b are each represented by an oval: exam image which regions make up ( aexam imagebc )c?
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.
To learn more about the intersection click here:
brainly.com/question/14217061
#SPJ4
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.
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) = \(\frac{1}{n} + \frac{1}{n} -\frac{1}{n(n-1)} =\frac{2n -3}{n(n-1)}\)
To learn more about Probability
https://brainly.com/question/13994656
#SPJ4
write bicontional statement
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.
Learn more about biconditional statement from
https://brainly.com/question/8663998
#SPJ1
Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
Please help me answer this
Answer:
The answer is B
Step-by-step explanation:
Btw if its wrong im sorry
What best describes movement of particles in a solid
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?
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe 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.
Read more about random variables here:
https://brainly.com/question/14356285
#SPJ1
Line u passes through points (10, 8) and (1, 10). What is the slope of line v?
\((\stackrel{x_1}{10}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{10}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{10}}} \implies \cfrac{ 2 }{ -9 } \implies - \cfrac{2}{9}\)
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°
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
Find out more on temperatures at https://brainly.com/question/2489614
#SPJ1
Plz help me well mark brainliest if correct!!...
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
Answer: 4oz
Step-by-step explanation:
Can y’all help me on question 35?!
Answer:
c
Step-by-step explanation:
C becasue 1 week = 15 mulitipication facts memorized
Solve this simultaneous linear equation
50x + 56y=690
65x + 48y=711
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
determine the quotient between 9/10 and 3/5
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?
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) = ?
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.
To know more about function click-
https://brainly.com/question/25638609
#SPJ1
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?
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?
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
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?
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 ?
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!
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.
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
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
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
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?
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= _________________
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
Learn more about BODMAS here-
https://brainly.in/question/3982019
#SPJ9
A -pound bag of Feline Flavor is . An -pound bag of Kitty Kibbles is . Which statement about the unit prices is true?
Answer:
Where is the numbers dude? LOL
Step-by-step explanation:
3. - 15 x + 30 2 -3
Write the equation in slope-intercept form
Answer:
Rewrite the numbers. this isn't an equation