The probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]. Probability is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The total no of the contestants=3
Randomly selection of the prize-=1
The probability that Whitney will win Prize 2 will be;
[tex]\rm P= P(A)P(B) \\\\ P=\frac{1}{3} \times \frac{1}{3}\\\\ P= \frac{1}{9}[/tex]
Hence, the probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]
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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]
A single card is drawn from a standard deck of cards. Find the probability of drawing a club or a diamond.
Answer:
1/10
Step-by-step explanation:
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
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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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! ~
group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table. A 4-column table with 3 rows. The first column has no label with entries Spanish, not Spanish, total. The second column is labeled French with entries 5, 30, 35. The third column is labeled not French with entries 63, 2, 65. The fourth column is labeled total with entries 68, 32, 100. Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish
The statements which are correct include the following:
5 students study both French and Spanish.2 students study neither French nor Spanish.30 students study French, but not Spanish.ParametersThe table given shows that:
5 students study both French and Spanish.63 students study Spanish but not French.68 students study Spanish.30 students study French, but not Spanish.2 students study neither French nor Spanish.35 students study French.This therefore results in the conclusion that option 1,3 and 4 are
the most appropriate options.
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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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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
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
what is the perimeter of the isosceles trapezoid
Answer:
The perimeter of this isosceles trapazoid is 49
Step-by-step explanation:
P = 11 + 14 + 2(12)
The price of of a mathematical set. was Ugx 2400 a month ago,and now it is Ugx 3000 - Find The percentage increase
Step-by-step explanation:
[tex]Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .
How do I find x and y
Answer:
Y is on the top
X is on the bottem
Step-by-step explanation:
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)}
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
Pickup a weighs about 1.,500 pounds pickup b weighs 685 kilogram’s which pickup actually weighs more
Answer:
pickup b
Step-by-step explanation:
Unit conversion :
1 kilogram is about 2.20462262 pounds
Solving :
⇒ Let's convert pickup b's mass into pounds
⇒ mass (pickup b) = 685 × 2.20462262
⇒ mass (pickup b) = 1510 pounds (approximately)
Clearly :
⇒ 1500 < 1510
⇒ mass (pickup a) < mass (pickup b)
Hence, pickup b weighs more.
What is the equation 8x-3y=6-4x in Stanford form?
Answer:
[tex]12x - 3y = 6[/tex]
Step-by-step explanation:
Standard form is written this way: [tex]Ax+By=C[/tex]
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get: [tex]12x - 3y = 6[/tex].
9.Find the value of x.
Work too please
Answer: 1
Step-by-step explanation:
Solve two sevenths plus seven fourteenths (2 points)
1 eleven fourteenths
2twelve fourteenths
3 nine seventh
4 eleven sevenths
Answer:
2/7 + 7/14 = 11/14
Step-by-step explanation:
7 x -2 = -14 Each seventh is going to be worth 2 fourteenths!
This means 2/7 = 4/14
4/14 + 7/14 = 11/14
Answer:
eleven fourteenths
Step-by-step explanation:
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
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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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 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
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?
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
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
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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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:
You invest $5000 in an account to save for college.
The account pays 5% annually and compounds continuously.
What would be the account balance after 4 years.
Answer:
5000 multiplied by 0.05 multiplied by 4
Step-by-step explanation:
you should get 1000. :D next you add 1000 to the orginal 5000 to get 6000!
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
