Answer:
A=1000
B=3.33
Step-by-step explanation:
I think?
A. The total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.
B. The probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
What is th eformula for permutation?The formula for the permutation is
[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]
Where,
n is the total number of objects
r is the total number of selected students
[tex]^{n} P_{r}[/tex] is the total number of permuations
What is probability?The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.
According to the given question.
Total number of balls in a bag = 10
A. Three balls are selected at a randow.
Since, repetition is not allowed or replacement is not allowed.
So, the number of ways selecting the first ball is 10
Number of ways selectiong the second ball is (10-1)
Number of ways selecting the third ball is (9-1)
Therefore,
The total number of ways or permutation selecting three balls from a bag
= [tex]^{10} P_{3}[/tex]
[tex]= \frac{10!}{(10-3)!}[/tex]
[tex]= \frac{10!}{7!}[/tex]
[tex]=\frac{10\times 9\times 8\times 7!}{7!}[/tex]
[tex]= 10\times 9\times 8[/tex]
[tex]= 720[/tex] ways
Hence, the total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.
B.
Total number of ball in a bag = 10
Total number of ball in a bag marked with 5 = 1
Thereofre,
the probability of selecting a ball marked with number 5
= [tex]\frac{total\ number\ of \ balls\ marked\ with \ number\ five\ }{total\ number\ of\ balls\ in\ a \ bag}[/tex]
[tex]= \frac{1}{5}[/tex]
Hence, the probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].
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Evaluate for f(-2)
F(x) = x2 - 4
Answer:
f(-2) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
f(x) = x² - 4
Step 2: Find f(-2)
[Function] Substitute in x:∴ the function when x = -2 is equal to 0.
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Topic: Algebra I
A water bottle holds 7/8 of a gallon of water. There are 5 1/4 gallons of water in a water tank. How many water bottles can be filled with the water in the tank?
Answer:
6 water bottles
i want to know the answer
Answer: Heyaa!~
Your Answer is... 15/2 in its exact form!
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Hopefully this helps you! ~
9.Find the value of x.
Work too please
Answer: 1
Step-by-step explanation:
A decimal number is multiplied by 10². Which statement describes the change in position of the decimal point in the decimal number as a result of the multiplication?
QUICK PLEASE AND THANK YOU
A. The decimal point moves 2 places to the left.
B. The decimal point moves 10 places to the left.
C. The decimal point moves 2 places to the right.
D. The decimal point moves 10 places to the right.
Answer:
C.
Step-by-step explanation:
10^2=100
100 shifts the decimal point 2 places to the right
A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?
Answer:
yor mom
Step-by-step explanation:
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The decline rate will be calculated as below:-
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function :
b = 0.83
The decline rate will be calculated as,
Decline rate = 1 - 0.83 = 0.17 x 100 = 17%
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
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If you roll two fair six sided dice, what is the probability that the sum is 5 or lower
Answer: P(sum is 5 or lower) = 10/36 (not simplified) = 5/18 (simplified)
Step-by-step explanation: The event is {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}
What is the solution to the following question
Answer:
3
Step-by-step explanation:
2(x + 1) = 3(5 - x) + 2
Distribute,
2(x + 1) = 3(5 - x) + 2
2x + 2 = 3(5 - x) + 2
Rearrange terms,
2x + 2 = 3(5 - x) + 2
2x + 2 = 3(-x + 5) + 2
Distribute,
2x + 2 = 3(-x + 5) + 2
2x + 2 = -3x + 15 + 2
Add the numbers,
2x + 2 = -3x + 15 + 2
2x + 2 = -3x + 17
Subtract 2 from both sides,
2x + 2 = -3x + 17
2x + 2 - 2 = -3x + 17 - 2
2x = -3x + 17 - 2
2x = -3x + 15
Add 3x to both sides,
2x = -3x + 15
2x + 3x = -3x + 3x + 15
5x = -3x + 3x + 15
5x = 15
Divide both sides by the same factor (15),
5x = 15
5x/5 = 15/5
x = 15/5
x = 3
Hence, the answer is 3.
Consider the following polynomial function with irreducable quadratic factor, find an expression which gives the degree of the polynomial
An expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].
What is an irreducible quadratic factor?An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.
An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.
A nonlinear equation is one in which the maximum degree of a term is two or more than two. When the polynomial equation is with degree two, then it is called a quadratic equation, and it is represented by a standard expression;
[tex]\rm ax^2+bx+c=0[/tex]
Where a is not equal to 0.
The degree of the polynomial is 2.
A quadratic polynomial can be further divided into linear factors. Now, simplify one of the quadratic expressions by completing the square method, which gives two linear factors.
Hence, an expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].
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Sam wants to surround his garden with fencing. He is using a drawing with a scale factor of 4 feet for every 1 inch.
2 in
4 in
Select the exact amount of fencing, in feet, Sam will need to surround the garden.
10 feet
© 16 feet
© 24 feet
48 feet
Answer:
C. 24
Step-by-step explanation:
Spencer surveyed five of his friends to find out how many pets they have. His results are shown in the table below. What is the mean number of pets?
Cody has 1 lara has 4 sam has 5 ella has 3 maria has 2
The mean of the number of pets which Spencer has surveyed for five of his friends is number 3.
What is mean of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.
Spencer has surveyed five of his friends to known that how many pets they have.
His results are shown in the table below. Cody has 1 Lara has 4 Sam has 5 Ella has 3 Maria has 2. There are total 5 friends. Thus the mean number of pets is:
[tex]\text{Mean}=\dfrac{1+4+5+3+2}{5}\\\text{Mean}=\dfrac{15}{5}\\\text{Mean}=3[/tex]
Thus, the mean of the number of pets which Spencer has surveyed for five of his friends is number 3.
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Which answer choice shows the numbers ordered from least to greatest?
*
15 points
A) 1/3, 0.333, 3/10, 33%
B) 0.333, 1/3, 3/10, 33%
C) 3/10, 0.333, 1/3, 33%
D) 3/10, 33%, 0.333, 1/
Answer:
D
Step-by-step explanation:
[tex] \frac{3}{10} = 0.3[/tex]
[tex] \frac{1}{3} = 0.333333333[/tex]
[tex]0.333 = 0.333[/tex]
[tex]33\% = 0.33[/tex]
[tex]0.3 < 0.33 < 0.333 < 0.333333333[/tex]
How do I find x and y
Answer:
Y is on the top
X is on the bottem
Step-by-step explanation:
Which is an example of a living expense?
O A. A concert ticket
O B. A subway pass
O C. A streaming service
O D. A newspaper subscription
Help me on this math problem please!! DUE TONIGHT!! Write an equation!
Answer:
(3x+8)°+(x+4)° = 180,
x=42
Step-by-step explanation:
They are linear pairs, so the two angles are supplementary or add up to 180°.
1. Format the equation (3x+8)°+(x+4)° = 180
2. Simplify like terms 4x + 12 = 180
3. Subtract 12 on both sides, 4x=168
4. Divide 4 on both sides, x=42
5. Answer is x=42
The area of a parallelogram is 914, and the lengths of its sides are 41 and 26. determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.
Answer: 121.0
Step-by-step explanation:
vertex represents a maximum or minimum point for the function. Explain your
answer.
b. Rewrite f(x) in vertex form by completing the square.
2. A cannonball is shot from the top of an ocean cliff as shown. The height (in meters) of the cannonball above th
water is given by h(t) = -5t2 + 15t + 8, where t is the number of seconds after the shot. Determine
whether each statement is true according to the graph. Select True or False for each statement.
Statement
True
Fal
The cannon is 8 meters above the water.
The cannonball reaches its maximum height at 1.5
seconds after it is shot.
The cannonball hits the water 8 seconds after it is
shot.
Answer:
the vertex represents a maximum
Vertex is (4,7)
f(x)=-(x-4)^2+7
Step-by-step explanation:
Given the function [tex]f(x)=-x^2+8x+9[/tex]
Equation is in the form of y=ax^2+bx+c
[tex]a=-1[/tex]
When 'a' is negative, then vertex is maximum
when 'a' is positive, then vertex is minimum
[tex]a=-1[/tex] is negative, so the vertex represents a maximum
[tex]f(x)=-x^2+8x+9[/tex], factor out negative
Take out negative sign in common
Janelle has one dime and several nickels in her coin purse. The table below describes the relationship between the number of nickels, n, and the total value of the coins in her coin
purse in cents, c
If Janelle has 8 nickels in her coin purso, what is the total value of the coins?
52 cents
50 cents
48 cents
46 cents
Answer:
Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.
Step-by-step explanation:
Please help.... this is confusing me:0
Answer:
See below
Step-by-step explanation:
IN a right triangle , remember S-O-H-C-A-H-T-O-A <===memorize this!
sin z = O/H = opposite side/hypotenuse = 16/20
cos z = A/H = adjacent / hy[potenuse = 12/20
tan z = O/A = 16/12
Can someone help me with this problem? Thank you!
Answer:
Perimeter = 61 7/20
Step-by-step explanation:
Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours. a. What is the probability that a randomly selected student studies more than 27 hours per week
The probability that a randomly selected student studies more than 27 hours per week is 0.0014.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of a population
N = number of observations of population
X = mean
μ = population mean
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.
So, μ = 25
σ = 2.5 hours.
[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]
= P (z > 1.2)
= 1 - P (z < 1.2)
= 0.0014
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I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Birt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Birt to count the coins in the bag alone?
Goblin Birt can take 15 minutes to count the coins in the bag by himself.
What is the unitary method?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how long would it take goblin Birt to count the coins in the bag by himself?
In this problem, the unitary method is to be applied three times.
Here, counting all the coins is considered as the entire work which is considered as 1.
According to the problem,
Goblin guys can count the coins in a bag in 10 minutes.
In 10 minutes Goblin guys can count the coins in the bag.
In 1-minute Goblin, guys can count th part of the coins in the bag.
Again, according to the problem,
Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.
In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag
In 1 minute, Goblin gryh and goblin Birt both can count th part of the coins in the bag.
In 1 minute, Goblin Birt can count ([tex]\dfrac{1}{6}-\dfrac{1}{10}[/tex] th part of the coins in the bag.
[tex]= (\dfrac{5-3}{30})=\dfrac{1}{15}[/tex] th part of the coins.
We can say, Goblin Birt, can count 1 / 15 th part of the coins in the bag in 1 minute. Goblin Birt himself can count all the coins in the bag in 15 minutes.
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Shannon has a collection of sports cards. Last month, she had 50 sports cards. Since last month, her collection has decreased by 46%. How many sports cards does Shannon have now?
Given h(x) = 3(2 – X),
what is the value of
h(-4)?
4.-6
B. 10
C.2
D.18
Answer:
D
Step-by-step explanation:
substitute x = - 4 into h(x)
h(- 4) = 3(2 - (- 4) ) = 3(2 + 4) = 3 × 6 = 18
what is the range of this function?
Answer:
B.
Step-by-step explanation:
The range is all real numbers
It will indefinitely go up and indefinitely go down
A square has an area of [tex]18x^{2}[/tex] what is the length of one of its sides
Answer:
≈4.24x
Step-by-step explanation:
[tex]\sqrt{18} = 4.24[/tex]
Have a nice day! :)
Answer:
18x
Step-by-step explanation:
because itś squared, and the area of a square is always squared, its 18x
Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer:
Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.
General Formulas and Concepts:
Algebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify given variables.
P = $47,323.15
r = 0.05
n = 1
t = 3
Step 2: Find Interest
[Compounded Interest Rate Formula] Substitute in variables:∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.
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Topic: Algebra I
In the figure QU=ST
What is the length of QR?
Answer:
the answer is 80
Step-by-step explanation:
QR=ST: 7x+3=5x+25
2x=22
x=11
7(11)+3=80 5(11)+25=80
Graph the inequality.
0 < y + 4x <6
After I graphed it gave me - y>−4x
- Appreciate if you rate.
