there are 5 sodas, 3 grape sodas, 7 root beers, and 8 lemon lime sodas in a cooler. What is the probability of choosing a grape soda? Give your answer as a ration in its lowest terms.

Answers

Answer 1

To calculate probability take the events / the outcome.

3 grape sodas / total drinks

You will need to add all the drinks together to get the total drinks
(5 + 3 + 7 + 8 = 23)

3 / 23 is your probability

This ratio cannot be simplified into lowest terms

Answer 2

3 out 23 because add all the numbers of soda and grape has 3 sodas so 3 out of 23

Related Questions

56 is what percentage of 112

Answers

The answer I got is 62.72

Rational irrational0.01π 100 π √100 √1100

Answers

I hope this helps you

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

f(x) has two real roots and one imaginary root.
f(x) has three real roots.
f(x) has five real roots.
f(x) has three real roots and two imaginary roots.

Answers

f(x) has three real roots and two imaginary roots.
The second imaginary root is the conjugate of the first. The third real root can be obtained by multiplying the two imaginary ones together.

Answer: The correct option is f(x) has three real roots and two imaginary roots.

Explanation:

It is given that the roots of fifth degree polynomial function are -2, 2 and 4+i.

Since he degree of f(x) is 5, therefore there are 5 roots of the function either real or imaginary.

According to the complex conjugate root theorem, if a+ib is a root of a polynomial function f(x), then a-ib is also a root of the polynomial f(x).

Since 4+i is a root of f(x), so by complex conjugate rot theorem 4-i is also a root of f(x).

From the the given data the number of real roots is 2 and the number of 2. The number of complex roots is always an even number, so the last root must be a real number.

Therefore, the correct option is f(x) has three real roots and two imaginary roots.

What is the probability of spinning a 3 on a spinner numbered 1-5 and 2 on a spinner numbered 1-3?

Answers

20% and 33% :)))))))))))))))

You will need 120 feet of fencing to put all the way around a rectangular garden. the length of the garden is 40 feet. what is the width?

Answers

Perimeter = 2L + 2w = 120

Plug in L = 40

2(40) + 2w = 120

Solve for w

2w = 120 - 80 = 40

w = 20

Final answer:

To find the width of a rectangular garden with a total perimeter of 120 feet and a known length of 40 feet, use the perimeter formula. Solving the equation, the width is determined to be 20 feet.

Explanation:

To find the width of a rectangular garden when you know the total fencing needed and the length of the garden, you can use the perimeter formula for a rectangle. The formula for the perimeter P of a rectangle is P = 2l + 2w, where l is the length and w is the width. In your case, the total perimeter is 120 feet and the length l is 40 feet. Setting up the equation using the given perimeter:

120 = 2(40) + 2w

Solving for w, the width:

120 = 80 + 2w

120 - 80 = 2w

40 = 2w

w = 20 feet

So, the width of the garden is 20 feet.

what is the multiple zero and multiplicity of x^3+2x^2+x

Answers

=x(x^2+2x+1)
=x(x+1)^2
Single root at x=0
Double root at x=-1

Answer:

Step-by-step explanation:

It is 2x by the third power because i dont know lol

(6 points)
2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - x
(c) 4x + 8 = 2x + 7 + 2x - 20
Answer:

Answers

Use the acronym DCOAM [Distribute, Combine like terms, one side the variable, Add or subtract, Multipy or divide]

A has only one solution , x= 30

B is an identity because if you combine like terms and add, you get
25-4x=25-4x

C has no solutions

Write this function in vertex form, and Identify its vertex x^2-4x-17

Answers

x^2-4x-17 is the same as 1x^2 + (-4)x + (-17)

It is in the form y = ax^2 + bx + c where

a = 1
b = -4
c = -17

To find the value of h, we use this formula
h = -b/(2a)
h = -(-4)/(2*(1))
h = 4/2
h = 2

Plug this back into the original function to find k
k = x^2-4x-17
k = (2)^2-4(2)-17
k = 4-8-17
k = -4-17
k = -21

So we know that a = 1, h = 2 and k = -21 making
y = a(x-h)^2 + k
turn into
y = 1(x-2)^2 - 21
which is now in vertex form. The vertex is (h,k) = (2,-21)

How many distinct arrangements can you make using the letters in the word DEGREE

Answers

If you don't have to use all the letters then you can say greed, red

Answer: 120

Step-by-step explanation:

The number of ways to arrange n things of which 'a' things are identical , 'b' things are identical and so on...... :-

[tex]\dfrac{n!}{a!\ b!......}[/tex]

Given Word : DEGREE

Total letters = 6

Here letter E is repeated 3 times.

Then, the number of unique ways to arrange the letters in the word "DEGREE " will be :-

[tex]\dfrac{6!}{3!}=\dfrac{6\times5\times4\times3!}{3!}=120[/tex]

Hence, the number of distinct arrangements for the letters in the word "DEGREE "=120

What is the mean median mode and range of the numbers 31 28 30 31 30 ...?

Answers

1. Mean is the number you get when you add all these numbers and then divide by the number of numbers. So, (31 + 28 + 30 + 31 + 30) / 5 = 150 / 5 = 30
2. The median is the middle number in the list of numbers, so, the answer is 30 as well.
3. Mode is the number that appears most often, so here it is 30 and 31 because they both appear 2 times.
4. Range is the difference between the largest and smallest number, so 31 - 28 = 3.

The solution to -16 + x = -30 is -14.

True
False

Answers

Answer:

True

Step-by-step explanation:

[tex]x = - 30 + 16 \\ \\ or \: \: x = - 14[/tex]

Which of the following is a solution to the equation c+(4-3c)-2=0

Answers

So, what you need to do is take away the parenthesis so you can combine like terms:
c+4-3c-2=0
Add 4 and -2: 4+-2=2
Add c and -3c: c+=3c=-2c

Now you have:
2-2c=0

Add the -2c to the other side so we can work on getting c alone:
2=2c

Divide by 2 so c will now be alone:
c=1
The answer is C

Hope this helps :)

Help?

Which of the following equations represents a parabola that opens up and has a vertex with a positive x-value?
A. y=-x^2+8x-15
B. y=2x^2-16x+38
C. y=2x^2+16x+24
D. y=-4x^2-14x-12

Answers

I think B is the answer

opens up means in y=ax^2+bx+c form, a is positive
not A or D
vertex witha positive x value

for y=ax^2+bx+c
the x value of the vertex is -b/2a

test b and c
B. 2x^2-16x+38
-b/2a=-(-16)/2=16/2=8, that is positive

C. 2x^2+16x+24
-b/2a=-16/2=-8, negative

B is the answer

The data set represents the number of miles Mary jogged each day for the past nine days. 6, 7, 5, 0, 6, 12, 8, 6, 9 The outlier of the data set is

Answers

the outlier of the data is 0.

Your answer for this question is 0

Through: (-2,4), parallel to y = -3/2x+3

Answers

Final answer:

To find a line parallel to y = -3/2x+3 through the point (-2,4), we use the point-slope form of a line using the given slope and coordinates.

Explanation:

To find a line parallel to a given line, we need to note that parallel lines have the same slope. The given equation is in the form y = mx + b, where m is the slope. In this case, the slope of the given line is -3/2. So, our parallel line will also have a slope of -3/2. Using the point-slope form of a line, we can substitute the slope and the coordinates of the given point (-2,4) to find the equation of the parallel line: y - y1 = m(x - x1). This gives us: y - 4 = -3/2(x - (-2)), which simplifies to y - 4 = -3/2(x + 2).

Learn more about Parallel Lines here:

https://brainly.com/question/32035102

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Explain why the product of any four consecutive integers is divisible by 24.
...?

Answers

I'm thinking about proving it by induction

let f =n(n+1)(n+2)(n+3)

it n = 1 then f =24 divisible by 24

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

A table factor of .7312 from a present value table of $1 means that a certain rate of interest for a certain period of time it will equal? ...?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below are the choices that can be found elsewhere:

Never equal
Over $1
None of these
Less than $1
$1

The answer should be Less than $1

Add.
3/4 + 7/10
Write your answer as a fraction in simplest form.

Answers

3/4*10/10 = 30/40
7/10*4/4 = 28/40
30/40+28/40 = 58/40=29/20 is the simplest form.

Final answer:

To add the fractions 3/4 and 7/10, you need to find a common denominator, which in this case is 20. Both fractions are then converted to have this common denominator and added together to get the result 29/20.

Explanation:

The subject of your question is fraction addition. To add 3/4 and 7/10, first we need to find a common denominator. In this case, the common denominator is 20. Change 3/4 into a fraction with 20 as a denominator, you get 15/20. Change 7/10 to a fraction with denominator 20, you get 14/20. Add these two fractions together, we get (15+14)/20, which simplifies to 29/20.

Learn more about fraction addition here:

https://brainly.com/question/34291287

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Which is greater one mile or one kilometer?

Answers

One mile is greater than one kilometer.

There relation are: 1 M = 1.6 Km

Hope this helps!

Use the Rational Zeros Theorem to write a list of all potential rational zeros

f(x) = x3 - 10x2 + 4x - 24

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

±1, ±, ±2, ±3, ±4, ±6, ±8, ±12, ±24

±1, ±2, ±3, ±4, ±24

±1, ±2, ±3, ±4, ±6, ±12, ±24

Answers

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

1. What are the next two terms of the following sequence?

1,5,9.........

A: 27, 211

B: 10, 11

C: 12, 15

D: 13, 17 *****

2. what is the common difference of the following Arithmetic sequence

102, 100, 98, 96....

A: 2

B: -2*****

C: -1

D: 102

3. What is the ninth term of the arithmetic sequence defined by the rule below?

A(n( = -14 + (n-1)(2)

A: 232

B: 230

C:2****

D: 4

4. Which function below represents the arithmetic sequence

3, 7 , 11, 15....?

A: F(n) = 4+3(n-1)

B: F(n) = 4+3n

C: F(n) = 3+4n

D: F(n) = 3+4(n-1)******

Answers

Answer:

1. 13, 17 Option D

2. -2 Option B

3. 2 Option C

4. F(n) = 3+4(n-1) Option D

Step-by-step explanation:

Given sequence is: 1, 5, 9....

Common difference = 5-1 = 9-5 = 4

Next term is :

9+4 = 13

and

13+4= 17

So, next two terms are: 13 & 17.

Given sequence is :

102, 100, 98, 96....

Common difference = 100 - 102 = 98 -100 = 96 - 98 = -2

Given rule is :

Aₙ = -14 + (n - 1)(2)

Find the 9th term

so, we put n = 9

A₉ = -14 + (9-1)*2

A₉ = -14 + 8*2 = -14 + 16

A₉ = 2

Ninth term is 2.

Given sequence is:

3, 7, 11, 15.....

Write the nth term

Formula is :

F(n) = a₁ + (n-1)d

Where a₁ is first term

n is number of terms

d is common difference

a₁ = 3

d = 7-3 = 11-7 = 15 - 11 = 4

So nth term is :

F(n) = 3 + 4(n-1)

That's the final answer.

Answer:

1. 13, 17 Option D

2. -2 Option B

3. 2 Option C

4. F(n) = 3+4(n-1) Option D

Step-by-step explanation:

g(x) = arcsin(4x + 8)
Find the domain of this function.

Answers

if you would solve the question for the simple version of the question
function f(x) = arcsin(x)
Domain of htis function question would be
1≤y≤1

And in our case y = (4x+8)
hence,
−1≤4x+8≤1

SERIOUSLY NEED HELP WITH THIS QUESTION.
The cube in the image has a volume of 1,000 cubic feet. The other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height. What is the volume of the tilted solid?
800 cubic feet

1,000 cubic feet

1,200 cubic feet

2,000 cubic feet

Answers

The second solid is a parallelepiped.

The volume of a parallelepiped is the area of the base times the height (the perpendicular distance from the base to the top face).

Given that the second solid has the same base of the cube and the same height, then the volumes of two solids are the same.

Answer: 1000 cubic feet.

Answer: 1000 ft³.

Step-by-step explanation:

Since, The volume of a cube = ( side )³

⇒ 1000 = (side)³ ⇒ side = 10

Hence, the side of the given cube = 10 feet

Since, the base of a cube = square having side 10 feet.

When we tilted the cube by 2 units,

Then, the base of the new solid = Rhombus having height 10 meters and base 10 feet,

Since, the square and rhombus are lying in the same base ( Shown in diagram)

Area of rhombus (Base of new solid) = Area of square having side 10 feet = 100 ft²

Since, the height of new solid is also 10 feet. the volume of new solid = Area of its base × height

= 10 × 100

= 1000 ft

How do i find an angle that is complementary to theta?

...?

Answers

z=90−θ
90 degrees minus theta is the complimentary angle.

how do I solve : CSC pi/6 ...?

Answers

csc x = 1 / sin x
sin π / 6 = sin 30° = 1/2
csc π/6 = 1/ sin π/6 = 1 / sin 30° = 1 : 1/2 = 2
Answer:
csc π/6 = 2

You roll a blue die and a yellow die. What is

P(the sum of the dice is at least 6 | the blue die shows a 3)?

Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms. ...?

Answers

(blue, yellow) = (3, 3), (3, 4), (3, 5), (3, 6)
P(blue die shows a 3) = 6
P(the sum of the dice is at least 6 | the blue die shows a 3) = 4/6 = 2/3

Brianna cut 351 fresh flowers to make bouquets if she wants to place an equal number of flowers and each bouquet how many groups should she use
a. 2 groups
b. 4 groups
c.6 groups
d. 9 groups

Answers

Well it's definitely not 2 groups because it is an odd number.
It is not 4 groups because that would be 87.5
It is not 6.
Your answer is d.9. 351/9=39

THe answer would be D; 9 groups because 351 divided by 9 is 39

Will upvote. What is the area of a circle whose radius is 4 ft
4TTft^2
8TTft^2
16TTft^2
64TTft^2

Answers

i hope this helps you

Area=pi.r^2

Area=pi.4^2

Area =16.pi

A population of bacteria is introduced into a culture. the number of bacteria P can be modeled by P=500(1+4t/(50+t^2 )) where t is time in hours. Find the rate of change in population when t=2 ...?

Answers

P(t)=500(1+4t/(50+t^2 ))

P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2

by the quotient rule

500 (-4t^2 + 200)/(t^2 + 50)^2

Hence

P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6

If A is uniformly distributed over [-12,16] , what is the probability that the roots of the equation

x^2+Ax+A+3=0

are both real?

Answers

Final answer:

The probability that the roots of the equation [tex]x^2+Ax+A+3=0[/tex] are both real is approximately 0.6786. Then we calculate the length of the range [-3, 16] divided by the length of the entire interval [-12, 16].

Explanation:

To find the probability that the roots of the equation [tex]x^2+Ax+A+3=0[/tex] are both real, we need to determine the range of values for A that will result in real roots. For real roots, the discriminant (b^2-4ac) must be greater than or equal to 0. In this case, the equation can be rewritten as [tex]x^2+(1+A)x+(A+3)=0[/tex], so a = 1, b = (1+A), and c = (A+3). The discriminant is (1+A)^2 - 4(A+3), which must be greater than or equal to 0.

Expanding and simplifying, we get (A^2 + 2A + 1) - 4A - 12 ≥ 0. Combining like terms, we have [tex]A^2 - 2A - 11 > 0[/tex].

To solve the inequality, we can find the values of A that make the equation equal to 0. Factoring, we get (A - 4)(A + 3) ≥ 0. The solutions are A ≤ -3 or A ≥ 4.

Therefore, the probability that the roots of the equation are both real is the probability of A taking values in the interval [-12, -3] or [4, 16]. To find this probability, we divide the length of the interval [-3, 16] by the length of the entire interval [-12, 16].

P(A is in [-3, 16]) = (16 - (-3)) / (16 - (-12)) = 19 / 28 ≈ 0.6786.

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