A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles. You choose a marble at random
from the bag. What color marble will you most likely choose?
Given:
A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles.
To find:
What color marble will you most likely choose if you choose a marble at random from the bag.
Solution:
We have,
Number of red marbles = 21
Number of green marbles = 24
Number of blue marbles = 21
Total number of marbles = 21+24+21
= 66
Now,
[tex]P(Red)=\dfrac{21}{66}[/tex]
[tex]P(Green)=\dfrac{24}{66}[/tex]
[tex]P(Blue)=\dfrac{21}{66}[/tex]
The number of green marbles is largest. So, the probability of getting a green marble is largest.
Therefore, you will most likely choose green marble.
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
one
more than one
none
Will mark correct answer as brainliest.
(Posted 2/11/21)
Answer:
it would made one triangle
Step-by-step explanation:
it adds up to 180
1. g(x) = f(x) - 7
how do u solve these?
Answer:
g' (×)=f
Step-by-step explanation:
g (×)=f×-7
g' (×)= d÷d× (f×-7)
d÷d×(f+g)=d÷d×(f)+d÷d=(g)
g' (×)=d÷d×(f×)-d÷d×(7)
g'(×)=f-d÷d×(7)
g'(×)=f-0
g'(×)=f
What are the zeros of the function below? Check all that apply.
F(X) =(x + 3)(x - 1)/(x-2)(x + 2)
A. 2
B. -2
C. 3
D. -3
E. 1
F. -5
Answer:
-3 and 1
Step-by-step explanation:
The zeros of the given function are -3 and 1.
What are zeros of a function?The zeros of a function, also referred to as roots or x-intercepts, are the x-values at which the value of the function is 0 (f (x) = 0). The zeros of a function can be thought of as the input values that result in an output of 0.
Given is a function f(x) = (x + 3)(x - 1)/(x-2)(x + 2),
We need to find the zeros of the function,
Equate to 0,
(x + 3)(x - 1)/(x-2)(x + 2) = 0
Therefore,
(x + 3)(x - 1) = 0
x+3 = 0 and x-1 = 0
Therefore,
x = -3, x = 1
Hence, the zeros of the given function are -3 and 1.
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Plz someone help me on this question
Answer:
(2,3)
Step-by-step explanation:
Answer:
(2,3)
Step-by-step explanation:
Once again the answer to the equations is where the two lines intersect and they intersect at (2,3)
A shirt originally cost $38.48, but it is on sale for $26.94. What is the percentage decrease of the price of the shirt? If necessary
round to the nearest percent.
A. 70%
B. 24%
C. 43%
D. 30%
Answer:
30(D)
Step-by-step explanation:
38.48-26.94=11.54
11.54÷38.48×100
≈30
The difference of a number c and 17 is more than 33.
Answer:
c-17=x>33
c=51
Step-by-step explanation:
The value of number c should be greater than 50.
It is given that difference of a number c and 17 is more than 33.
We have to find out the value of number c.
What do you mean by algebraic expressions ?
The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.
As per the question ;
The difference of c and 17 is more than 33.
i.e.,
difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.
i.e.,
c - 17 > 33
c > 33 + 17
c > 50
Thus , the value of number c should be greater than 50.
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PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.
Answer:
D = 272 ft
Step-by-step explanation: hope this helps. pls mark me brainliest
In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)
Answer:[tex]\frac{17}{35}[/tex]
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]
The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]
The probability that both sweets are the same flavor
[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]
writing polynomial functions write the equation of the polynomial function given the following zeros x= 5 , -2 , -1
Answer:
Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.
using a graphical tool see the attachment
the answer is C) x ≥ -3, x ≠ 2
2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
using a graphical tool
see the attachment
the answer is C) Increasing: x < 7; decreasing: x > 7
3. Perform the requested operation or operations.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x).
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 4x + 7 + 3x^2
(f + g)(x) = 3x^2 + 4x + 7
The answer is C) 4x + 7 + 3x2
4. Perform the requested operation or operations.
f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).
f(x)=(x-5)/8 g(x)=8x+5
g(f(x))=8((x-5)/8)+5=x-5+5=x
the answer is B) g(f(x)) = x
5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.
y=f(g(x))=9/((5x+5) ^1/2)
let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
the answer is A) f(x) = nine divided by square root of x. , g(x) = 5x + 5
6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec
7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)
f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)
8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9
using a graphical tool see the attachment the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units
9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '
f(x)=(x-9) ^1/2 g(x)=(x+5) ^1/2
using a graphical tool see the attachment
the answer is C) Shift the graph of f left 14 units
10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x5 - 7x4 – 6
The answer is B) Degree: 5; leading coefficient: -16
11. Write the quadratic function in vertex form.y = x2 + 4x + 7
Complete the square on the right side of the equation
Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.
a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
Find the value of dd using the formula d=b/2a
d=4/(2*1)=2
Find the value of e using the formula e=c−b2/4a
e=7−4=3
Substitute the values of a, d, and e into the vertex form a(x+d)2+e
(x+2)2+3
The answer is A) y = (x + 2)2+ 3
12. Find the zeros of the function.
f(x) = 3x3 - 12x2 - 15x
using a graphical tool (see the attachment)x1=-1
x2=0
x3=5
The answer is C) 0, -1, and 5
13. Find a cubic function with the given zeros.7, -3, 2
X1=7
X2=-3
X3=2
f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42
the answer is C) f(x) = x3 - 6x2 - 13x + 42
14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3
f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
The answer is the B) 946
15. Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24
The constant term of () is -24
The leading coefficient is 1.
We have to only consider the factors of the constant (leading coefficient = 1)
The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24
The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
How do o solve this
Answer:
Step-by-step explanation:
Im not sure if u need to use shapes, but I will since it says in the example
4x - put it in a square box
2x - also in a square box
3 - in a circle box
1 - in a circle box
combine like terms
4x+2x=6x
3+1=4
6x+4
a customer left a tip of 25$ this is 20% of his bill. whats the price of the bill?
Answer:
i think 150
Step-by-step explanation:
Answer: $30.00
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation. For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
0.20 x $25.00=$5.00.
$25.00 + $5.00 = $30.00.
If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
Answer: 3.5% with a 3.50 Tip
Reason: 25.00 - 21.50 = 3.50
I need help with my math assignment
Answer:
Step-by-step explanation:
Slope m is defined as m=(y2-y1)/(x2-x1) in this case
m=(218-155)/(22-15)=63/7=9
y=mx+b
y=9x+b, using point (15,155) we can solve for the y intercept b
155=9(15)+b
155=135+b, b=20 so the line is
y=9x+20
In thirty days there will be
y=9(30)+20=290 coins
Solve the following system of equations.
2x + 5y = -18 and y = -4x
Answer:
x=1 and y= -4
Step-by-step explanation:
step one: plug -4x into y in thi]e first equation.
2x+5(-4)= -18
step two: solve for x
2x-20= -18
(add 20 to both sides to eliminate -20 on the right)
2x=2
(divide both sides by 2 to get x by its self)
x=1
step 3: now that we found the value for x plug it in to either equation and solve for y
y= -4x
y= -4(1)
y= -4
Please help me! (Tangent Ratios) (30 points)
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
A line passes through the point A (-2,-5) and has a slope of -9. Using the point-Slope formula, express the equation of the line in slope intercept form.
Answer:
y = -9x -23
Step-by-step explanation:
Point-slope formula gives you
y -(-5) = -9(x - (-2))
y + 5 = -9(x + 2)
y + 5 = -9x - 18
y = -9x -23
help im new and need help please the thing is 9.9 x 7 =__._ help please
Answer:
69.3 is the answer
{ Hello and welcome to Brainly :) i hope i helped }
Answer:
69.3
Step-by-step explanation:
Welcome to brainly, I hope you have a good time.
There are 40 working hours in a week and 52 weeks a year. How much does Nate need to make an hour to stay out of debt if it costs him $900 to live each month?
Answer: $5.19
Step-by-step explanation:
If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.
40 * 52 = 2080 working hours
Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.
$900 * 12 = $10800
Divide $10800 by 2080 working hours to get how much he needs to make per working hour.
10800/2080 = approximately 5.19, rounded down from the nearest hundredth
He needs to make $5.19 per hour, so the answer is the last option.
HELLPP ASAP THERES A TIMER
Find the slope of the line that passes through these two points:
(-12, -1) and (-3,-4)
how do I find the perimeter of a triangle
Answer:
Step-by-step explanation:
Add up all three side lengths
Answer:
Add up all the side lengths (3) of the triangle.
Step-by-step explanation:
two boats take off in the same direction boat a is going 36 mph and left the dock at around 6 mph ahead pf boat b, boat b travels at 44 mph if the boats take off at the same time how long will it take for boat b to meet up with boat a and how far will boat b have traveled when it is in the same location as boat a
Answer:
33 miles
Step-by-step explanation:
Classify the expression: 5x3+2x-3
Quadratic expression
Linear expression
Cubic expression
Exponential expression
Considering that it's highest exponent is of 3, the expression 5x³ + 2x - 3 is a cubic expression.
What is the degree of a polynomial?The degree of a polynomial is given by the highest exponent.
The highest exponent of the expression 5x³ + 2x - 3 is a 3, hence it is a cubic expression.
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Answer: C: cubic expression
Step-by-step explanation:
Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) By the number of terms is a trinomial, because has three terms
b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Solve for y: -4(y - 3) = 5(2y - 6)
Answer:
y=3
Step-by-step explanation:
Use symbolab.
Answer:(−4y+12)−{10y−30}=0
4
y
12
10
y
30
0
−14y+42=0
14
y
42
0
(−14)⋅y+(42)=0
14
y
42
0
y=−(42)−14
y
42
14
y=−(14)⋅(3)(14)⋅(−1)=3
Step-by-step explanation:
Sarah bought a new T-shirt for $40. The sale tax is 4%. How much was the tax?
Answer:
The tax is $1.60 bringing her total to $41.60
Answer: im getting free points dont get mad at me this person already answered so take full credit for him
Step-by-step explanation:
What equation is equivalent to 2(3-y)
A. 2y - 6
B. 6 - 2y
C. 6 + y
D. 6 + 2y
Answer:
The answer is C.6+y
............
[tex]\frac{2y-1}{15} =\frac{y}{10}[/tex]
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )
10(2y - 1) = 15y ← distribute left side
20y - 10 = 15y ( subtract 15y from both sides )
5y - 10 = 0 ( add 10 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
Angad was thinking of a number. Angad divides by 4, then adds 3 to get an answer of 7. What was the original number?
Answer:
mh, 7
Step-by-step explanation:
A pattern maker earns $25 per hour. She has monthly business expenses of $300. Her profit is the difference between
her monthly earnings and her monthly business expenses. How many hours will the pattern maker have to work in a month to make a profit
of at least $2,000?
оооо
a) 92
b) 100
c) 108
d) 121
Answer:
i think the answer is a.92 hope this helps