A family chooses 9 states to visit from the 50 us states. what is the size of the sample space in this experiment?
Answers
The size of the sample space in this experiment can be found by calculating the number of ways the family can choose 9 states from the 50 US states. This can be done using the combination formula, which is given by:
nCr = n! / (r! * (n-r)!)
In this case, n represents the total number of states (50) and r represents the number of states the family wants to choose (9). So, the formula becomes:
50C9 = 50! / (9! * (50-9)!)
Simplifying the expression:
50C9 = (50 * 49 * 48 * 47 * 46 * 45 * 44 * 43 * 42) / (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
Calculating this expression will give you the size of the sample space, which is the number of ways the family can choose 9 states from the 50 US states.
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The size of the sample space in this experiment is a large number that represents all possible combinations of choosing 9 states out of the 50 US states.
The sample space in this experiment refers to the total number of possible outcomes. In this case, the family is choosing 9 states to visit from the 50 US states. To find the size of the sample space, we can use the concept of combinations.
Since the family is choosing 9 states out of 50, we can calculate the number of combinations using the formula:
\(n_C_r = \frac{n!}{(r!(n-r)!)}\), where n is the total number of items and r is the number of items chosen.
In this case, n = 50 (total number of US states) and r = 9 (number of states chosen). Plugging these values into the formula, we get:
\(50_C_9 = \frac{50!}{(9!(50-9)!)}\)
Now let's simplify this expression:
\(\frac{50!}{(9!(50-9)!)} = \frac{50!}{(9!(41)!)}\)
Using factorials, we can calculate:
50! = 50 * 49 * 48 * ... * 2 * 1
9! = 9 * 8 * ... * 2 * 1
41! = 41 * 40 * ... * 2 * 1
Now we can substitute these values back into the expression:
\(\frac{50!}{(9!(41)!)} = \frac{(50 * 49 * 48 * ... * 2 * 1)}{((9 * 8 * ... * 2 * 1)(41 * 40 * ... * 2 * 1)) }\)
After simplifying, we find that the size of the sample space is a very large number.
In conclusion, the size of the sample space in this experiment is a large number that represents all possible combinations of choosing 9 states out of the 50 US states.
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Related Questions
you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.
Answers
Answer:
1.75 feet in the blueprints for the width
2 feet in the blueprints for the length
Step-by-step explanation:
Like and give a 5-star rating
Please brainlest
PLEASE HELP ME ANSWER QUESTION
Answers
Abram competed in a 100-meter swimming race. He swam
the first 50 m in 29.65 seconds. He swam the second 50 m
in 30.24 seconds. How long did it take Abram to complete
the race?
Answers
Answer:
Step-by-step explanation:
59.89
If f(x)=2x−2, what is 2[f(3)]?
Answers
Answer: 8
Step-by-step explanation:
First solve for f(3), by plugging in 3 for x.
2x - 2
2(3) - 2
6 - 2
4.
Then, simply multiply this number by 2.
f(3) * 2
4 * 2
8
Hope it helps and let me know if you want me to elaborate :)
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
Answers
Answer:
32/3 x pi or 32/51 rounded to the nearest hundredths
Step-by-step explanation:
4/3 x r^3 x pi
=32/3 x pi
Answer:
Step-by-step explanation:
volume of the sphere fomular = \(\frac{4}{3} * \pi *r^{2}\)
The diameter of a sphere is 4 centimeters -> radius = r = 2 cm
-> volumn = \(\frac{4}{3} *\pi *2^{2}\)
= 16.7466666 cm3
A new community sports complex is being build in Madison. The perimeter of the rectangular playing field is 466 yards. The length of the field is 7 years less than quadruple the width. What are the dimensions of the playing field?
Answers
Answer:
The dimensions of the field is 185 yards by 48 yards
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the field.
Let the width of the field be x yards
From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width
So mathematically, the length of the field will be ;
(4x -7) yards
The perimeter of the field mathematically is:
2(l + b)
Thus;
2(x + 4x- 7) = 466
2(5x -7) = 466
divide both side by 2
5x - 7 = 466/2
5x - 7 = 233
5x = 233 + 7
5x = 240
x = 240/5
x = 48 yards
Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards
A researcher for a store chain wants to determine whether the proportion of customers who try out the samples being offered is more than 0.15. The null and alternative hypotheses for this test are
Answers
Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.
The null hypothesis (H0) for this test is that the proportion of customers who try out the samples being offered is 0.15 or less. The alternative hypothesis (Ha) is that the proportion of customers who try out the samples being offered is more than 0.15.
The researcher wants to test whether the proportion of customers who try out the samples being offered is higher than 0.15, which means the null hypothesis states that the proportion is 0.15 or lower. The alternative hypothesis, on the other hand, suggests that the proportion is greater than 0.15. The researcher will conduct a hypothesis test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.
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bonsoir, je suis bloqué sur lex 5 s'il vous plaît aidez moi merciii
Answers
Answer:
j'ai écrit ci-dessous
Step-by-step explanation:
Salut, j'utilise un traducteur, mais revenons à votre question
Je ne suis donc pas sûr de la question a, mais j'essaierai d'y répondre plus tard.
Pour la question b, il a utilisé la formule "a-b" je pense. C'est déjà indiqué dans le tableau. D'accord, je vais essayer de trouver la question a maintenant !
Edit
salut je suis de retour! donc d'après mes découvertes, le pgcd (si pgcd est le plus grand diviseur commen) serait 207. C'est parce que vous pouvez diviser les deux par 207, et une fois que vous le faites, vous ne pouvez plus le diviser par des nombres égaux.
2277/207 = 11
1449/207 = 7
J'espère que cela t'aides!
The area of circle Q is 412. Circle P is 4 times bigger. What is the area of circle P? What is the perimeter of circle P?
A of circle P =
Perimeter of circle P =
Answers
Step-by-step explanation:
that is not clearly defined.
what does "bigger circle" mean ? bigger area or bigger radius or diameter ? or even bigger circumference ?
I assume we mean here that the area is 4 times bigger.
then the area of P is
A of P = 4×412 = 1648
the perimeter (= circumference) of a circle is
C = 2×pi×r
with r being the radius.
the area of a circle is
A = pi×r²
since we have the area of the circle, we have to calculate backwards to find r, so that we can calculate the circumference :
1648 = pi×r²
r² = 1648/pi
r = sqrt(1648/pi) = sqrt(16×103/pi) = 4×sqrt(103/pi) =
= 22.90359562...
the circumference of P
C = 2×pi×r = 143.9075355...
What is the probability of rolling a 6 on
a die two consecutive times?
A. 1/2
B. 1/6
C. 1/36
D. 1/4
Answers
Answer:
C. 1/36
Step-by-step explanation:
So, how I answered this question was that I said "their is 36 numbers on a die" and that the chances of rolling a 6 is a 1/36 chance.
AYUDDAAA, ES EXAMEEEEN
Answers
Answer:
it's corect
Step-by-step explanation:
just change the subject it is not mathematics
Answer:
correct
Step-by-step explanation:
Pleaseeeeee Helppppppp
Answers
Answer:
-2
Step-by-step explanation:
it's the lowest point
Rewrite the equation so that it does not have fractions 2- 5/6x = 7/8
Answers
the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:
24(5/6)x + 24(2) = 24(7/8)
the denominators will cancel out so you have:
4(5x) + 48 = 3(7)
do the multiplication:
20x + 48 = 21
fractions have been eliminated, and if you want to continue to solve:
20x = -27
x = -27/20
what property of real numbers does each statement demonstrate a+b=b+a
Answers
Answer: a+b=b+a is a clear example of commutative property.
Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.
IM MARKING BRAINLEIST IF YOU ANSWER RIGHT GUYSS!!
Answers
Answer:
the slope is 2 because if your look at the points that the line crosses
Find m and b in the following equations.
What do m and b represent?
a.
y= 2x +1
b. y=zx-4
Answers
Answer:
Step-
by-step explanation:
Solve for h:
2h-4x=-6y
Please provide steps also
Answers
That’s ur answer because you have to add 2x to the other side where 6y and then you divide the 2 from both sides and then 4 divided by 2=2 and then 6 divided by 2=3
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
can somebody help me please
Answers
Answer:
3x+2y=18.65
Step-by-step explanation:
mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*
Answers
The stretch of an exponential decay function is y = 2(1/5)ˣ
Which is a stretch of an exponential decay function?From the question, we have the following parameters that can be used in our computation:
The list of exponential functions
An exponential function is represented as
y = abˣ
Where
a = initial valueb = growth/decay factorIn this case, the exponential function is a decay function
This means that
The value of b is less than 1
An example of this is, from the list of option is
y = 2(1/5)ˣ
Hence, the exponential decay function is y = 2(1/5)ˣ
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Complete question
Which is a stretch of an exponential decay function?
Of(x) = -(5)ˣ
Of(x) = 5(2)ˣ
O fix) = 2(1/5)ˣ
PLEASE HELP!!
Solve for measure of angle a.
a = [?]°
![PLEASE HELP!! Solve for measure of angle a. a = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/KIcz0YznCunWY0rpXup1FHKyCN4kqeT2.png)
Answers
Answer:
∠ a = 125°
Step-by-step explanation:
the measure of chord- chord angle a is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
∠ a = \(\frac{117+133}{2}\) = \(\frac{250}{2}\) = 125°
Some help me please i have 9 questions
Answers
awnser:
m<3=50
Step-by-step explanation:
seen in the picture if you need help let me know
solve the linear system... y=-3x+5 and 5x-4y=-3
Answers
Answer:
x = 1 , y = 2
Step-by-step explanation:
Solve for substitution
A 5 cm x 11 cm rectangle sits inside a circle with radius of 12 cm
Answers
The circumference of the circle is approximately 38.031 cm
Step-by-step explanation:
To visualize the situation described, we can draw a diagram:
/\
/ \
/ \
/ \
/_______\
Here, the rectangle is inscribed inside the circle.
The rectangle has dimensions of 5 cm by 11 cm, and the circle has a radius of 12 cm.
To solve for any other information, we can use some geometry formulas.
First, we can find the diagonal of the rectangle using the Pythagorean theorem:
diagonal^2 = 5^2 + 11^2
diagonal = sqrt(5^2 + 11^2) ≈ 12.083 cm
Since the diagonal of the rectangle is the diameter of the circle, we know that the circle's diameter is approximately 12.083 cm.
Therefore, we can find the circumference of the circle using the formula:
circumference = pi x diameter
circumference = pi x 12.083 ≈ 38.031 cm
So, the circumference of the circle is approximately 38.031 cm.
Arranging
A. Arrange the set of integers in increasing order.
1. 3,-4, 1, 10, 9,-3
2. 4,-12, 12, -5, 9, 0, -1
3. -6, 63, -45, -7, -50
4. 6,-10, 4, 1, -67, -1
5. -5, 7, 13,-34, -52, 25, 0
Answers
In ascending order the integers are arranged from the left to right of the integer line. The arrangements are shown below.
The arrangement of the set of integers in increasing order is as follows:
-4<-3<1<3<9<10 -12<-5<-1<0<4<9<12 -50<-45<-7<-6<63 -67<-10<-1<1<4<6 -52<-34<-5<0<7<13<25Every positive integer is greater than a negative integer. Zero is less than every positive integer. Zero is greater than every negative integer. The greater the number, the lesser its opposite,i.e., If a and b are two integers such that a>b, then -a<-b.
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As a town gets smaller, the population of its high school decreases by 7% each year. The senior class has 320 students now. In how many years will it have about 100 students? Write
an equation. Then solve the equation without graphing.
Write an equation to represent this situation. Let n be the number of years before the class will have 100 students.
(Type an equation using n as the vanable. Use integers or decimals for any numbers in the equation)
Help again please
Answers
Therefore, in about 15 years and 2 months, the senior class will have about 100 students.
What is equation?An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.
Given by the question.
Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).
Then, we can write the following equation to represent the situation:
P\((1-r)^{n}\) = 100
We know that the current population of the senior class is 320, so we can substitute these values into the equation:
320\((1-0.07)^{n}\) = 100
Simplifying the equation, we get:
\(0.93^{n}\) = 0.3125
Taking the natural logarithm of both sides, we get:
n ln (0.93) = ln (0.3125)
Dividing both sides by ln (0.93), we get:
n = ln (0.3125) / ln (0.93)
Using a calculator, we find that n is approximately equal to 15.21 years.
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I need this answer
5x + 10 = 6x – 20
Answers
Answer:
30
Step-by-step explanation:
Step 1:
5x + 10 = 6x - 20 Equation
Step 2:
10 = x - 20 Subtract 5x on both sides
Step 3:
10 + 20 = x Add 20 on both sides
Answer:
x = 30
Hope This Helps :)
Answer: x=30
Step-by-step explanation:
A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. 70 cm70\text{ cm} 70 cm 140 cm140\text{ cm} 140 cm How much paper will it take to make each tree, including the bottom?
Answers
Answer:
24500 cm^2
Step-by-step explanation:
PLZ HELPPPPPPPPPPPPP
Answers
Answer:
a, d
Step-by-step explanation:
If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes
Answers
Answer:
120 miles
Step-by-step explanation:
120minutes= 2hour
2×60÷1=120 (miles)
Find the minimum, maximum, and range for the given set of data.
{23.5, 22.1, 24.0, 28.6, 26.3, 29.2, 21.0, 22.7, 25.5, 22.3, 21.6}
A.
minimum = 21.0, maximum = 29.2, range = 50.2
B.
minimum = 21.0, maximum = 29.2, range = 8.2
C.
minimum = 22.1, maximum = 26.3, range = 48.4
D.
minimum = 22.1, maximum = 26.3, range = 4.2
Answers
Answer:B
Step-by-step explanation: