Answer:
5/12Step-by-step explanation:
step one:
Given the sample space, which is the value of individual number of colored balls in the bin
Red balls=5
Yellow balls=3 and
Green balls= 4
And the sample size is the sum of all the colored balls in the bin
The sample size S= {5+3+4}= 12
step two:
The probability of choosing a red ball in an event can be expressed as, the total number of the red balls over the total number of balls in the bin
P(r)= 5/12
Hence the probability of selecting a red ball in one event 5/12
Please answer this question now
Answer:
Surface area of the cone = 1306.24 square centimeters
Step-by-step explanation:
Surface area of a cone is determined from the formula,
Surface area of cone = πr(r + l)
where 'r' = radius of the circular base of the cone
l = lateral height of the cone
And π = 3.14
Surface area of the cone with 'r' = 13 cm and 'l' = 19 cm
Surface area = 3.14(13)(13 + 19)
= 3.14(13)(32)
= 1306.24 square centimeters
What is the coefficient of the variable in the expression 2 - 5x – 4 + 8?
a
-5
b
-4
с
2
d
8
Answer:
-5
Step-by-step explanation:
The coefficient is the number attached to the variable.
Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)
Answer:
2n+2 ways to win
Step-by-step explanation:
You generalize by observing patterns in the way you solve the smaller problems.
The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.
For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.
What is the 8th term for this sequence -3, -12, -48, -192,...
Answer:
-49152
Step-by-step explanation:
The pattern is:
multiply for 4
then:
-3, -12, -48, -192, -768, -3072, -12288, -49152
PLEASE HELP Polynomial Graph Studies Polynomials are great functions to use for modeling real-world scenarios where different intervals of increase and decrease happen. But polynomial equations and graphs can be trickier to work with than other function types. In mathematical modeling, we often create an equation to summarize data and make predictions for information not shown on the original display. In this activity, you’ll create an equation to fit this graph of a polynomial function. Part A Describe the type of function shown in the graph. Part B What are the standard form and the factored form of the function? Part C What are the zeros of the function? Part D Use the zeros to find all of the linear factors of the polynomial function. Part E Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form. Part F Use the y-intercept of the graph and your equation from part E to calculate the value of a. Part G Given what you found in all of the previous parts, write the equation for the function shown in the graph.
Answer:
Here's what I get
Step-by-step explanation:
Part A
The graph shows a polynomial of odd degree. It is probably a third-degree polynomial — a cubic equation.
Part B
The standard form of a cubic equation is
y = ax³ + bx² + cx + d
The factored form of a cubic equation is
y = a(x - b₁)(x² + b₂x + b₃)
If you can factor the quadratic, the factored form becomes
y = a(x - c₁)(x - c₂)(x - c₃)
Part C
The zeros of the function are at x = -25, x = - 15, and x = 15.
Part D
The linear factors of the function are x + 25, x + 15, and x - 15.
Part E
y = a(x + 25)(x + 15)(x - 15) = a(x + 25)(x² - 225)
y = a(x³ + 25x² - 225x - 5625)
Part F
When x = 0, y = 1.
1 = a[0³ +25(0)² - 225(0) - 5625] = a(0 + 0 - 0 -5625) = -5625a
a = -1/5625
Part G
[tex]y = -\dfrac{1}{5625}( x^{3} + 25x^{2} - 225x - 5625)\\\\y = \mathbf{ -\dfrac{1}{5625} x^{3} - \dfrac{1}{225}x^{2} + \dfrac{1}{25} x + 1}[/tex]
Answer
Actually, the answer should be -0.0007(x+20)(x+5)(x-15)
Step-by-step explanation:
This is continuing off of the previous answer
PART C
The zeros should be (15,0), (-5,0), and (-20,0)
PART D
x - 15, x + 5, and x + 20
PART E
a(x - 15)(x + 5)(x + 20)
Standard: [tex]a(x^{3} + 10x^{2} -275x-1500)[/tex]
PART F
The y-intercept is at (0,1), so we replace the x's with 0:
1 =[tex][(0)x^{3} +10(0)x^{2} -275(0)-1500][/tex] and this gives us (0+0-0-1500) which also equals -1500
Then we do [tex]\frac{1}{-1500}[/tex] which gives us -0.0006 repeating which rounds to -0.0007
a= -0.0007
PART G
Just place the numbers where they should go and your answer is
y =-0.0007(x + 20)(x + 5)(x - 15)
the placement for (x + 20) (x + 5) and (x - 15) doesn't matter as long as they are behind -0.0007
Which expression represents the number 12.3 rewritten in a+bi form?
12.3+0i
1+12.3i
12.3+i
0+12.3i
Answer:
The correct option is;
12.3 + 0i
Step-by-step explanation:
The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to √(-1), cannot be found among the real numbers, i, is known as an imaginary number.
As such a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.
The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;
12.3 + 0·i
If f(x) = 4x + 15, then f(-3) = ?
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
The function is given :
f(x) = 4x + 15
For f(-3), the input for the function f(x) is -3.
Replace the x variable with -3.
f(-3) = 4(-3) + 15
Evaluate.
f(-3) = -12 + 15
f(-3) = 3
The output for f(-3) is 3.
Answer: f(-3) = 3
Step-by-step explanation: Notice that f is a function of x.
So we want to find f(-3).
We find f(-3) by plugging -3 in for x,
everywhere that x appears in the function.
So we have 4(-3) + 15.
4(-3) is -12 so we have -12 + 15 which is 3.
So f(-3) is 3.
sam ran 63,756 feet in 70 minutes what is sams rate in miles per hour? (there are 5,280 feet in one mile)
Divide total feet by feet in a mile:
63,756/5280 = 12.075 miles
Divide 70 minutes by 60 minutes per hour:
70/60 = 1.166666 hours( round to 1.17)
Miles per hour = total miles/ total hours:
12.075/1.17 = 10.32 miles per hour
56:31
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
Answer:
The equation is (2+x) / 4 = 3
Total amount of chopped vegetables = 10 pounds
Step-by-step explanation:
Meat=2 pounds
Vegetables=x
Mixture= 2+x
She divides the mixture into 4 equal portions
(2+x)/4
Each portion weighs 3 pounds
(2+x)/4=3
Solve the equation
(2+x)/4=3
Cross product
(2+x) = 4 × 3
2+x=12
x=12-2
=10
x=10 pounds
Total amount of chopped vegetables = 10 pounds
Give the values of a, b, and c needed to write the equation's general form.
1/4x^2+5=0
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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]\frac{1}{4} x^2+5=0[/tex]
For this equation: [tex]a=0.25, b=0, c=5[/tex]
[tex]0.25x^2 + 0x + 5 = 0[/tex]
Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]
[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]
[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]
[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]
Answer : No Real Solutions.
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
a plane is a _ figure
Which fractions are equal to 0.375?
Answer:
375/ 1000
Step-by-step explanation:
it is technically correct
Step-by-step explanation:
Convert 0.375 to a simplified fraction by setting up our equation like this:
[tex]\frac{375}{1000} =\frac{x}{y}[/tex]
Then, we find the GCF for both numbers, which is 125. So, we divide both numbers by 125.
[tex]\frac{375}{125}=3\\\\\frac{1000}{125}=8[/tex]
Our simplified fraction: 3/8.
To find more equivalent fractions, multiply the numerator and denominator by the same number (example: 2, 3).
Some fractions equal to 0.375:
[tex]\frac{3}{8}, \frac{6}{16}(*2), \frac{9}{24} (*3)[/tex]
I hope I've helped you out!
Kapil deposited Rs. 1600 in a bank on 1st January 2005. Find the amount in his bank account on 1st January 2006, if the bank pays interest at 8% per annum and the interest is calculated every year on 30th June and 31st December.
Answer:
SI=PRT/100
=10000*5*42/12*100
=1750
SI=1750
TOTAL AMOUNT=PRINCIPLE+SI
=10000+1750
=101750
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!! :)
Answer:
(5,3) and (5,9)
Step-by-step explanation:
Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
e to search
o
La
Answer:
3/5
Step-by-step explanation:
The rise is 3 while the run is 5, so the slope = rise over run = 3/5.
Answer:
5/6
Step-by-step explanation:
slope = change in y over change in x
Find the missing probability. P(A)=720,P(B)=35,P(A∩B)=21100 ,P(A∪B)=?
The missing probability P(A∪B) will be 37/50.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Given information;
P(A)= 7/20,
P(B)=3/5,
P(A∩B) =21/100 ,
We need to find the missing probability P(A∪B).
We know that
P(A∪B)= P(A) + P(B) + P(A∩B)
P(A∪B) = 7/20 + 3/5 + 21/100
P (A U B) = 37/50
Therefore, the missing probability P(A∪B) will be 37/50.
Learn more about probability here;
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Find the derivative of f(x) = -2x2 + 11x at x = 9.
Answer:
The value of the derivative at x = 9 is -25
Step-by-step explanation:
Here in this question, we are told to find the derivative of the given equation at the point where x = 9
What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation
In notation form, what we are to find is f’(9)
So;
f(x) = -2x^2 + 11x
f’(x) = -4x + 11
So therefore;
f’(9) = -4(9) + 11
f’(9) = -36 + 11
f’(9) = 11-36
f’(9) = -25
5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)
ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)
Answer:
i) 25130 Liters
ii) 16 cm
Step-by-step explanation:
The volume of the tank is in cubic meters, not liters. So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.
ii) Now we find the depth. 2000 is 7.959% of 25130. 7.959% of the 2 meter height is 15.917 cm. Rounded to the nearest cm, it would be 16 cm.
what is this expression in simplest form.(-11/2x+3)-2(-11/4x-5/2)
Answer:
The simplest form of the given expression is 8.
Step-by-step explanation:
(-11/2x + 3) - 2(-11/4x - 5/2)
Distribute 2 to (-11/4x - 5/2)
(-11/2x + 3) - (-11/2x - 5)
Now, combine like terms. The terms with the x value will cancel each other out because a negative plus a positive of the same number will equal zero. For example, -2 + 2 = 0.
So, the expression in the simplest form is going to be 8. The x values have cancelled each other out so all there is left is the constant number which is 8.
Insert 2 rational numbers between -1/3 and -1/2
Answer:
-11/24 and -4/9
Step-by-step explanation:
A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.
Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.
Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6
Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18
The first number placed is -1/3 - 1/18 = -11/24
The second number is -11/24 - 1/18 = -4/9
Which type(s) of symmetry does the following object have?
Select all that apply.
Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.
We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.
We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.
Answer:
Theres more than one answer so b and a
Step-by-step explanation:
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1
Answer:
a or b
Step-by-step explanation:
it just looks like b or a
H(t) = -4.9t^2 + 25t + 2
Height is a function of time
plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.
at t = 0
H(0) = -4.9(0)^2+25(0) + 2 = 2 meters
Repeat for T=1,2,3,4 and 5
Notice the ball peaks around t = 3 seconds and starts to descend.
H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters
H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters
H(3) = 32.9 meters
H(4) = 23.6 meters
H(5) = 4.5 meters
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
(D) There are [tex]5 \frac{1}{2}[/tex] three-fourths in [tex]4 \frac{1}{8}[/tex]
Step-by-step explanation:
We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.
So this becomes the division statement:
[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].
We can convert [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.
[tex]\frac{33}{8} \div \frac{3}{4}[/tex].
Multiply by the reciprocal:
[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]
Which simplifies down to
[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.
Hope this helped!
Answer:
D
Step-by-step explanation:
Which expressions are equivalent to -3(2w+6)-4−3(2w+6)−4minus, 3, left parenthesis, 2, w, plus, 6, right parenthesis, minus, 4 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 6w-146w−146, w, minus, 14 (Choice B) B 2(-3w+(-11))2(−3w+(−11))2, left parenthesis, minus, 3, w, plus, left parenthesis, minus, 11, right parenthesis, right parenthesis (Choice C) C None of the above
Answer:
B. 2{-3w+(-11)}Step-by-step explanation:
Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation.This is as shown:
Step 1: Open the parenthesis
= -3(2w+6)-4
= -3(2w)-3(6)-4
= -6w-18-4
Step 2: Simplify the resulting expression in step 1
= -6w-18-4
= -6w - 22
Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have;
2{-3w+(-11)}
Hence the equivalent expression is 2{-3w+(-11)}
Answer:
a and b
Step-by-step explanation:
no.
A random number generator chooses 2 numbers between 1 and 5. This table demonstrates all possible outcomes. 1 2 3 4 5 1, 1 1, 2 1, 3 1, 4 1, 5 2 2, 1 2, 2 2, 3 2, 4 2, 5 3 3, 1 3, 2 3, 3 3, 4 3, 5 4 4, 1 4, 2 4, 3 4, 4 4, 5 5 5, 1 5, 2 5, 3 5, 4 5, 5 What is the probability that the computer will pick two 5s?
Answer as a fraction = 1/25
Answer in decimal form = 0.04
Answer in percent form = 4%
Explanation:
There are 5*5 = 25 different outcomes, of which only one outcome has 5,5. The probability of picking two 5s is 1/25 = 0.04 = 4%
Answer:
4%
Step-by-step explanation:
The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, what was the final temperature?
Answer: If we're talking about the final temperature in 1 hour, then the final temperature would be -5 degrees. 10-15= -5.
Using the subtraction approach, the projected end temperature will be -5.
What is Algebra?Algebra is the study of graphic formulas, while logic is the application of those symbols.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
In an hour, the temperature plummeted by 15 degrees. assuming that the initial temperature was 10 °.
Then the final temperature is given by subtracting the numbers 10 and 15.
Using the subtraction approach, the projected end temperature will be -5.
More about the Algebra link is given below.
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What is the answer please
Answer:
I think it should be (C)
Answer:
B
Step-by-step explanation:
The fastest way to solve this would to plug in a number for x such as 1 in both equations to find which 2 are equivalent.
When you plug 1 into the top equation it equals 3.5, so now we need to find the correct equation below that equals 3.5 when 1 is plugged in for x.
When you plug 1 into equation B you are also left with 3.5.
How to differenciate natural,whole,integers,rational,irrational numbers and real numbers sets from -12 to 49 and draw numbers lines to represent prime numbers and divisible by 7.
Answer:
Step-by-step explanation:
Natural Numbers :
These are numbers used for counting, they are the numbers on a number line. From -12 to 49, the natural numbers are 1, 2, 3, ..., 49.
Whole Numbers:
These are numbers that can be written without havin to write in fractions. They are 0, 1, 2, ..., 49.
Rational Numbers:
These are numbers that can be expressed as fractions.
Irrational numbers :
These are numbers that cannot be expressed as fractions.
Real Numbers:
These are numbers that can be used to measure quantities, they include negative, positive numbers and zero. From -12 to 49, all the numbers are real.
Prime Numbers:
These are numbers that are divisible only by one and themselves.
From 7 to 49, the numbers divisible by 7 are 7, 14, 21, 28, 35, 42, and 49.
Only 7 is prime.
The Fairy Tale Spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $0.80. You have $50 to spend at the Fairy Tale Spectacular including admission. Write and solve an inequality to determine the maximum number of rides you can enjoy at the Fairy Tale Spectacular?
Answer:21
Step-by-step explanation:
50-32.5=17.5
17.5/0.8=21.875
On Wednesday at camp, Samuel went for a hike at 6:30 A.M. The hike took 2 hours and 15 minutes. As soon as he got back from the hike, Samuel played volleyball for 1 hour. What time did Samuel finish playing volleyball?
Answer:
9:45 A.M.
Step-by-step explanation:
First, add the time that took him to hike:
6:30 + 2 hours and 15 minutes = 8:45 A.M.
Next, add the 1 hour that he played volleyball for:
8:45 + 1 hour = 9:45 A.M.
So, he finished playing volleyball at 9:45 A.M.
Answer:
9:45 am
Step-by-step explanation:
He went at 6:30 am to a hike.
It took him 2 hours 15 minutes
=> 6 : 30
+ 2 15
=> 8 : 45
He came back from the Hike at 8:45 am
He played volleyball for 1 hour.
=> 8 : 45
+ 1
=> 9 : 45
He finished playing volleyball at 9:45 am